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0
|
Among the objects listed in the image's options, which ones will ultimately sink when placed in water?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
1
|
Among the objects listed in the image's options, which ones will ultimately sink when placed in water?
|
Science
|
|
1
|
Look at the following schedule. When does the gymnastics meet end?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
12:55 PM.
|
Look at the following schedule. When does the gymnastics meet end?
|
Health
|
|
2
|
Find the measure of the altitude drawn to the hypotenuse.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
4 \sqrt { 3 }
|
Find the measure of the altitude drawn to the hypotenuse.
|
Math
|
|
3
|
Find x to the nearest hundredth.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
43.86
|
Find x to the nearest hundredth.
|
Math
|
|
4
|
A factory building in a certain city adopts CFG pile composite foundation, with a natural foundation bearing capacity characteristic value of 140kPa and a pile length of 17m. The concrete strength grade is C25, with a pile diameter of 0.4m and a pile spacing of 1.75m. The piles are arranged in an equilateral triangle, and the soil around the piles is The characteristic value of average lateral resistance qs=28kPa, the characteristic value of pile end resistance qp=700kPa, and the reduction coefficient of soil bearing capacity between piles number $\beta $= 0.8. Find the characteristic value of the bearing capacity of the composite foundation that is closest to () kPa.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
300
|
A factory building in a certain city adopts CFG pile composite foundation, with a natural foundation bearing capacity characteristic value of 140kPa and a pile length of 17m. The concrete strength grade is C25, with a pile diameter of 0.4m and a pile spacing of 1.75m. The piles are arranged in an equilateral triangle, and the soil around the piles is The characteristic value of average lateral resistance qs=28kPa, the characteristic value of pile end resistance qp=700kPa, and the reduction coefficient of soil bearing capacity between piles number $\beta $= 0.8. Find the characteristic value of the bearing capacity of the composite foundation that is closest to () kPa.<image 1>
|
Engineering
|
|
5
|
Based on the image provided, can you determine the per capita GDP of Country 1, Country 4 for the year 2017?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$ 60739.60, $ 24451.71
|
Based on the image provided, can you determine the per capita GDP of Country 1, Country 4 for the year 2017?
|
Business
|
|
6
|
Air flows into a heat engine at ambient conditions of 100 kPa, 300 K, as shown in <image 1>. Energy is supplied as 1200 kJ per kilogram of air from a 1500 K source, and in some part of the process a heat transfer loss of 300 kJ/kg air occurs at 750 K.The air leaves the engine at 100 kPa, 800 K. Find the first- and second-law efficiencies
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
0.32 0.67
|
Air flows into a heat engine at ambient conditions of 100 kPa, 300 K, as shown in <image 1>. Energy is supplied as 1200 kJ per kilogram of air from a 1500 K source, and in some part of the process a heat transfer loss of 300 kJ/kg air occurs at 750 K.The air leaves the engine at 100 kPa, 800 K. Find the first- and second-law efficiencies
|
Engineering
|
|
7
|
The following information was taken from the records of Spiderman Ltd on 30 June 2021. The authorised share capital of the Spiderman Ltd is 600 000 ordinary shares. After new shares were issued on 1 July 2020, 75% of the authorised shares were in issue at an average share price of R?. Original shares were issued on 1 July 2019 at R10 a share. Calculate the issue price of the new shares issued on 1 July 2020.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
R28
|
The following information was taken from the records of Spiderman Ltd on 30 June 2021. The authorised share capital of the Spiderman Ltd is 600 000 ordinary shares. After new shares were issued on 1 July 2020, 75% of the authorised shares were in issue at an average share price of R?. Original shares were issued on 1 July 2019 at R10 a share. Calculate the issue price of the new shares issued on 1 July 2020.
|
Business
|
|
8
|
Determine the shape factor of the beam's cross section. <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
1.70
|
Determine the shape factor of the beam's cross section. <image 1>
|
Engineering
|
|
9
|
Room registrations in the Toronto Towers Plaza Hotel have been recorded for the past 9 years. To project future occupancy, management would like to determine the mathematical trend of guest registration. This estimate will help the hotel determine whether future expansion will be needed. Given the following time-series data, develop a regression equation relating registrations to time (e.g., a trend equation). Then forecast year 11 registrations. Room registrations are in the thousands: <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
27030
|
Room registrations in the Toronto Towers Plaza Hotel have been recorded for the past 9 years. To project future occupancy, management would like to determine the mathematical trend of guest registration. This estimate will help the hotel determine whether future expansion will be needed. Given the following time-series data, develop a regression equation relating registrations to time (e.g., a trend equation). Then forecast year 11 registrations. Room registrations are in the thousands: <image 1>
|
Math
|
|
10
|
The V-I-curve of a tunnel diode is depicted in the figure below, curve (a). In some parts of the problem, we use an idealized model curve (b). In order to measure the V-I curve of the diode, it is connected in series with a variable power supply (the value of the electromotive force $\mathscr{E}$ can be changed from 0 V to 1 V ), see circuit (a). The ammeter has internal resistance $r=2 \Omega$; the applied voltage is $\mathscr{E}=50 \mathrm{mV}$. What is the diode voltage $V_i$ and current $I_i$ ? Use the real V-I-curve of the diode.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$V_i=20 \mathrm{mV}, I_i=15.3 \mathrm{~mA}$
|
The V-I-curve of a tunnel diode is depicted in the figure below, curve (a). In some parts of the problem, we use an idealized model curve (b). In order to measure the V-I curve of the diode, it is connected in series with a variable power supply (the value of the electromotive force $\mathscr{E}$ can be changed from 0 V to 1 V ), see circuit (a). The ammeter has internal resistance $r=2 \Omega$; the applied voltage is $\mathscr{E}=50 \mathrm{mV}$. What is the diode voltage $V_i$ and current $I_i$ ? Use the real V-I-curve of the diode.
|
Science
|
|
11
|
<image1>
How much does Dita weigh?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$5 \mathrm{~kg}$
|
<image1>
How much does Dita weigh?
|
Science
|
|
12
|
Water at 20°C is pumped at 1500 gal/min from the lower to the upper reservoir, as in Fig. P3.141. Pipe friction losses are approximated by hf $\approx $ 27 V^2 /(2g), where V is the average velocity in the pipe. If the pump is 75 percent efficient, what horsepower is needed to drive it? <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
112 hp
|
Water at 20°C is pumped at 1500 gal/min from the lower to the upper reservoir, as in Fig. P3.141. Pipe friction losses are approximated by hf $\approx $ 27 V^2 /(2g), where V is the average velocity in the pipe. If the pump is 75 percent efficient, what horsepower is needed to drive it? <image 1>
|
Engineering
|
|
13
|
Look at the following schedule. When does the ski jumping event begin?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
9:20 AM
|
Look at the following schedule. When does the ski jumping event begin?
|
Health
|
|
14
|
The following balances in the image were taken from the trial balance on 31 July 2021, the last day of the financial year.
The mortgage loan was increased with R100 000 on 30 April 2021. This transaction was properly recorded in the financial records. Calculate the total interest amount for the year ending 31 July 2021.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
R27 500
|
The following balances in the image were taken from the trial balance on 31 July 2021, the last day of the financial year.
The mortgage loan was increased with R100 000 on 30 April 2021. This transaction was properly recorded in the financial records. Calculate the total interest amount for the year ending 31 July 2021.
|
Business
|
|
15
|
In 2019, which countries records fiscal surpluses?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
1
|
In 2019, which countries records fiscal surpluses?
|
Business
|
|
16
|
A cylindrical bag is made from a freely deformable fabric, impermeable for air, which has surface mass density $\sigma$; its perimeter $L$ is much less than its length $l$. If this bag is filled with air, it resembles a sausage. The bag is laid on a horizontal smooth floor (coefficient of friction $\mu=0$ ). The excess pressure inside the bag is $p$, the free fall acceleration - $g$. The density of air is negligible. Assuming that $p \gg \sigma g$, determine the quantity $\varepsilon=\frac{b-a}{b+a}$, where $b$ is the width of the bag.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\varepsilon \approx \frac{\pi g a}{4 p}$
|
A cylindrical bag is made from a freely deformable fabric, impermeable for air, which has surface mass density $\sigma$; its perimeter $L$ is much less than its length $l$. If this bag is filled with air, it resembles a sausage. The bag is laid on a horizontal smooth floor (coefficient of friction $\mu=0$ ). The excess pressure inside the bag is $p$, the free fall acceleration - $g$. The density of air is negligible. Assuming that $p \gg \sigma g$, determine the quantity $\varepsilon=\frac{b-a}{b+a}$, where $b$ is the width of the bag.
|
Science
|
|
17
|
The following data show the units in beginning work in process inventory, the number of units started, the number of units transferred, and the percent completion of the ending work in process for conversion. Given that materials are added at the beginning of the process, what are the equivalent units for conversion costs for each quarter using the weighted-average method? Assume that the quarters are independent.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
134,485
|
The following data show the units in beginning work in process inventory, the number of units started, the number of units transferred, and the percent completion of the ending work in process for conversion. Given that materials are added at the beginning of the process, what are the equivalent units for conversion costs for each quarter using the weighted-average method? Assume that the quarters are independent.<image 1>
|
Business
|
|
18
|
Which of the coordinates is equal to $\cos (\pi)$ ?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$x$-coordinate of point $C$
|
Which of the coordinates is equal to $\cos (\pi)$ ?
|
Math
|
|
19
|
What number should replace the question mark?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
17
|
What number should replace the question mark?
|
Math
|
|
20
|
Write an expression for vc(t) in the circuit shown in <image 1> by using a sinusoidal steady-state equivalent network.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$V / {jwCR + (R / R_C) + [R / (jwL + R_L)] + 1}]$
|
Write an expression for vc(t) in the circuit shown in <image 1> by using a sinusoidal steady-state equivalent network.
|
Engineering
|
|
21
|
Circle $C_1$ and $C_2$ each have radius $1$, and the distance between their centers is $\frac{1}{2}$. Circle $C_3$ is the largest circle internally tangent to both $C_1$ and $C_2$. Circle $C_4$ is internally tangent to both $C_1$ and $C_2$ and externally tangent to $C_3$. What is the radius of $C_4$?
<image1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\frac{3}{28}$
|
Circle $C_1$ and $C_2$ each have radius $1$, and the distance between their centers is $\frac{1}{2}$. Circle $C_3$ is the largest circle internally tangent to both $C_1$ and $C_2$. Circle $C_4$ is internally tangent to both $C_1$ and $C_2$ and externally tangent to $C_3$. What is the radius of $C_4$?
<image1>
|
Math
|
|
22
|
Find $G(s)=E_{0}(s)/T(s)$ for the system shown in <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\frac{E_{0}}{T}=\frac{5N_{1}RCs}{Js^{2}\pi N_{2}(RCs+1)}$
|
Find $G(s)=E_{0}(s)/T(s)$ for the system shown in <image 1>
|
Engineering
|
|
23
|
What number should replace the question mark?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
6
|
What number should replace the question mark?
|
Math
|
|
24
|
Researchers have done the following study on the relationship between smoking and cardiovascular diseases. The attributable risk of smoking and the disease is. <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
200/100,000 person years
|
Researchers have done the following study on the relationship between smoking and cardiovascular diseases. The attributable risk of smoking and the disease is. <image 1>
|
Health
|
|
25
|
Look at the following schedule. When does Advanced Typing class begin?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
11:45 AM.
|
Look at the following schedule. When does Advanced Typing class begin?
|
Engineering
|
|
26
|
Look at the following schedule. Cora is at Kite Coast. If she wants to arrive at Ocean City at 10.30 AM, what time should she get on the boat?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
8:45 AM.
|
Look at the following schedule. Cora is at Kite Coast. If she wants to arrive at Ocean City at 10.30 AM, what time should she get on the boat?
|
Math
|
|
27
|
I need the balances of trade information for Country 5, Country 4 and Country 1 in 2022. Can you provide it?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$-0.58 trillion, $0.99 trillion, $1.02 trillion
|
I need the balances of trade information for Country 5, Country 4 and Country 1 in 2022. Can you provide it?
|
Business
|
|
28
|
How many countries have achieved fiscal surpluses in 2014?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
2
|
How many countries have achieved fiscal surpluses in 2014?
|
Business
|
|
29
|
The given figure shows the phenomenon of recombination of the spectrum of white light using two prisms.
If V, I, B, Y, O and R denote violet, indigo, blue, yellow, orange and red colours respectively, then what is the color of the ray marked as 5 in the figure?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
O
|
The given figure shows the phenomenon of recombination of the spectrum of white light using two prisms.
If V, I, B, Y, O and R denote violet, indigo, blue, yellow, orange and red colours respectively, then what is the color of the ray marked as 5 in the figure?
|
Science
|
|
30
|
Determine the average normal stress developed in rod AB if the load has a mass of 50 kg. The diameter of rod AB is 8 mm.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\sigma $AB=13.01 MPa
|
Determine the average normal stress developed in rod AB if the load has a mass of 50 kg. The diameter of rod AB is 8 mm.<image 1>
|
Engineering
|
|
31
|
函数如图所示。求常数 $k$ 的值，使得 $f(x)$ 在区间 $[0,1]$ 上连续；
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
1/2
|
函数如图所示。求常数 $k$ 的值，使得 $f(x)$ 在区间 $[0,1]$ 上连续；
|
Math
|
|
32
|
Using the provided image, could you determine the average hourly wages of Country 3, Country 2 and Country 4 for the year 2023?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
74.87 ($/h), 13.20 ($/h), 44.16 ($/h)
|
Using the provided image, could you determine the average hourly wages of Country 3, Country 2 and Country 4 for the year 2023?
|
Business
|
|
33
|
For the 8-in. I beam shown, compute the maximum transverse shear stress when the beam is simply supported at each end and subjected to a load of 1000 lb in the center. Compare your answer with the approximation obtained by dividing the shear load by the area of the web (only) with the web considered to extend for the full 8-in. depth.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
196.9psi,166.7psi
|
For the 8-in. I beam shown, compute the maximum transverse shear stress when the beam is simply supported at each end and subjected to a load of 1000 lb in the center. Compare your answer with the approximation obtained by dividing the shear load by the area of the web (only) with the web considered to extend for the full 8-in. depth.<image 1>
|
Engineering
|
|
34
|
Consider the following table showing the breakdown of GDP (in billions) for China. <image 1> Using the expenditure approach, calculate GDP for China.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
2510
|
Consider the following table showing the breakdown of GDP (in billions) for China. <image 1> Using the expenditure approach, calculate GDP for China.
|
Business
|
|
35
|
After investigating all of the vegetation types on each region the ecologists identified an area that would fit the description of a rain shadow. Where would the rain shadow be most likely to have been identified?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
West of the mountain range on the mainland
|
After investigating all of the vegetation types on each region the ecologists identified an area that would fit the description of a rain shadow. Where would the rain shadow be most likely to have been identified?
|
Science
|
|
36
|
A typical lateral flow test works by a sample liquid flowing along a paper medium (from left-to-right in the picture). Lateral flow tests for COVID-19 use the strong binding between spike proteins on the surface of virus particles and antibodies to detect coronavirus. The red/pink colour in many lateral flow tests is from gold nanoparticles coated with antibodies.
To use a particular lateral flow test, a swab is taken and placed in $1.0 \mathrm{~cm}^3$ extraction solution containing $7.3 \mathrm{mmol} \mathrm{dm}^{-3} \mathrm{Na}_2 \mathrm{HPO}_4$ and $4.6 \mathrm{mmol} \mathrm{dm}{ }^{-3} \mathrm{KH}_2 \mathrm{PO}_4$ at pH 7.4 at $25^{\circ} \mathrm{C}$.
During the test a person swabs their nose/throat and places it in the extraction solution. The resulting solution is called the test solution. A test sample of a few drops $\left(0.10 \mathrm{~cm}^3\right)$ of the test solution are placed on the sample pad.
If the person taking the test has COVID-19, there will typically be $7.1 \times 10^6$ virus particles per $\mathrm{cm}^3$ in the test solution. Each virus particle has approximately 20 spike proteins on its surface.
Once the sample passes the conjugate pad, it becomes saturated with red-coloured antibody-coated Au nanoparticles (NP), to a concentration $1.6 \times 10^{12} \mathrm{NP}$ per $\mathrm{cm}^3$.
An equilibrium is set up where the NP bind to any spike proteins, SP. Assume that any binding that takes place between spike proteins and nanoparticles is 1:1.
$$\begin{gathered}\mathrm{SP}(\mathrm{aq})+\mathrm{NP}(\mathrm{aq}) \rightleftharpoons \mathrm{SPNP}(\mathrm{aq}) \\K=\frac{[\mathrm{SPNP}]}{[\mathrm{NP}][\mathrm{SP}]}=1.2 \times 10^{10} \mathrm{~mol}^{-1} \mathrm{dm}^3\end{gathered}$$
As there is a large excess of nanoparticles, you can assume that the concentration of nanoparticles at equilibrium is still $1.6 \times 10^{12} \mathrm{NP}$ per $\mathrm{cm}^3$
Determine [SPNP] at equilibrium in $\mathrm{mol} \mathrm{dm}^{-3}$.
If you do not get an answer, use $[S P N P]=1.0 \times 10^{-11} \mathrm{~mol} \mathrm{dm}{ }^{-3}$ in subsequent calculations.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$2.29 \times 10^{-13} \mathrm{~mol} \mathrm{dm}^{-3}$
|
A typical lateral flow test works by a sample liquid flowing along a paper medium (from left-to-right in the picture). Lateral flow tests for COVID-19 use the strong binding between spike proteins on the surface of virus particles and antibodies to detect coronavirus. The red/pink colour in many lateral flow tests is from gold nanoparticles coated with antibodies.
To use a particular lateral flow test, a swab is taken and placed in $1.0 \mathrm{~cm}^3$ extraction solution containing $7.3 \mathrm{mmol} \mathrm{dm}^{-3} \mathrm{Na}_2 \mathrm{HPO}_4$ and $4.6 \mathrm{mmol} \mathrm{dm}{ }^{-3} \mathrm{KH}_2 \mathrm{PO}_4$ at pH 7.4 at $25^{\circ} \mathrm{C}$.
During the test a person swabs their nose/throat and places it in the extraction solution. The resulting solution is called the test solution. A test sample of a few drops $\left(0.10 \mathrm{~cm}^3\right)$ of the test solution are placed on the sample pad.
If the person taking the test has COVID-19, there will typically be $7.1 \times 10^6$ virus particles per $\mathrm{cm}^3$ in the test solution. Each virus particle has approximately 20 spike proteins on its surface.
Once the sample passes the conjugate pad, it becomes saturated with red-coloured antibody-coated Au nanoparticles (NP), to a concentration $1.6 \times 10^{12} \mathrm{NP}$ per $\mathrm{cm}^3$.
An equilibrium is set up where the NP bind to any spike proteins, SP. Assume that any binding that takes place between spike proteins and nanoparticles is 1:1.
$$\begin{gathered}\mathrm{SP}(\mathrm{aq})+\mathrm{NP}(\mathrm{aq}) \rightleftharpoons \mathrm{SPNP}(\mathrm{aq}) \\K=\frac{[\mathrm{SPNP}]}{[\mathrm{NP}][\mathrm{SP}]}=1.2 \times 10^{10} \mathrm{~mol}^{-1} \mathrm{dm}^3\end{gathered}$$
As there is a large excess of nanoparticles, you can assume that the concentration of nanoparticles at equilibrium is still $1.6 \times 10^{12} \mathrm{NP}$ per $\mathrm{cm}^3$
Determine [SPNP] at equilibrium in $\mathrm{mol} \mathrm{dm}^{-3}$.
If you do not get an answer, use $[S P N P]=1.0 \times 10^{-11} \mathrm{~mol} \mathrm{dm}{ }^{-3}$ in subsequent calculations.
|
Science
|
|
37
|
Look at the following schedule. When does the ferry depart from Green Harbor?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
5:40 AM.
|
Look at the following schedule. When does the ferry depart from Green Harbor?
|
Science
|
|
38
|
<image 1> A psychologist administered the most recent edition of the Stanford-Binet IQ test to 50 students and their scores are shown in the chart above. How many students earned scores higher than two standard deviations above the mean?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
2
|
<image 1> A psychologist administered the most recent edition of the Stanford-Binet IQ test to 50 students and their scores are shown in the chart above. How many students earned scores higher than two standard deviations above the mean?
|
Social
|
|
39
|
Find the measure of \angle A F B.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
108
|
Find the measure of \angle A F B.
|
Math
|
|
40
|
Use phasor techniques to find $V_L(t)$ in the circuit in <image 1>.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$1.89 cos(t + 90^{\circ})) V$
|
Use phasor techniques to find $V_L(t)$ in the circuit in <image 1>.
|
Engineering
|
|
41
|
Car A travels at a constant speed of 65 mi / hr. When in the position shown at time t = 0, car B has a speed of 25 mi / hr and accelerates at a constant rate of 0.1g along its path until it reaches a speed of 65 mi / hr, after which it travels at that constant speed. What is the steady-state position of car A with respect to car B? <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\delta d=706.109$
|
Car A travels at a constant speed of 65 mi / hr. When in the position shown at time t = 0, car B has a speed of 25 mi / hr and accelerates at a constant rate of 0.1g along its path until it reaches a speed of 65 mi / hr, after which it travels at that constant speed. What is the steady-state position of car A with respect to car B? <image 1>
|
Science
|
|
42
|
行如图所示的程序框图，输出的 ｎ ＝?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
4
|
行如图所示的程序框图，输出的 ｎ ＝?
|
Engineering
|
|
43
|
What are the elevations of the points Point D, Point C and Point A individually?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
-1.5, -3.8, 0.1
|
What are the elevations of the points Point D, Point C and Point A individually?
|
Science
|
|
44
|
An angle was measured with different weights as follows:<image 1>Determine the most probable value of the angle
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\hat{x}$ = 86°47\25.9'"
|
An angle was measured with different weights as follows:<image 1>Determine the most probable value of the angle
|
Math
|
|
45
|
The maximum number of stereoisomers that could exist for the compound below ? <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
10
|
The maximum number of stereoisomers that could exist for the compound below ? <image 1>
|
Science
|
|
46
|
The open square butt joint is used to transmit a force of 50 kip from one plate to the other. Determine the average normal and average shear stress components that this loading creates on the face of the weld, section AB.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\sigma $avg=3.125ksi;$\tau $avg=1.804ksi
|
The open square butt joint is used to transmit a force of 50 kip from one plate to the other. Determine the average normal and average shear stress components that this loading creates on the face of the weld, section AB.<image 1>
|
Engineering
|
|
47
|
Let m, n be natural numbers, as shown in the image. Find the maximum possible value of m + n.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
70
|
Let m, n be natural numbers, as shown in the image. Find the maximum possible value of m + n.
|
Math
|
|
48
|
Which figure below is the odd one out?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
b
|
Which figure below is the odd one out?
|
Math
|
|
49
|
<image1>
In the adjoining figure $\measuredangle E=40^\circ$ and arc $AB$, arc $BC$, and arc $CD$ all have equal length. Find the measure of $\measuredangle ACD$.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$15^\circ$
|
<image1>
In the adjoining figure $\measuredangle E=40^\circ$ and arc $AB$, arc $BC$, and arc $CD$ all have equal length. Find the measure of $\measuredangle ACD$.
|
Math
|
|
50
|
As shown in the figure, then the value of tanB is ()
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
\frac{4}{3}
|
As shown in the figure, then the value of tanB is ()
|
Math
|
|
51
|
A 50-kg copper block initially at 140°C is dropped into an insulated tank that contains 90 L of water at 10°C. Determine the final equilibrium temperature and the total entropy change for this process.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$T_{eq}=16.3^{\circ}C,\DeltaS=1.41\frac{kJ}{K}$
|
A 50-kg copper block initially at 140°C is dropped into an insulated tank that contains 90 L of water at 10°C. Determine the final equilibrium temperature and the total entropy change for this process.<image 1>
|
Engineering
|
|
52
|
As shown in the picture, When foot D touches the ground, the head point E rises ()
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
0.5m
|
As shown in the picture, When foot D touches the ground, the head point E rises ()
|
Science
|
|
53
|
Find the equivalent torsional spring constant of the system shown in <image 1>. Assume that k1, k2, k3, and k4 are torsional and k5 and k6 are linear spring constants.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{4}+R^2{(k_{5}+k_{6})}$
|
Find the equivalent torsional spring constant of the system shown in <image 1>. Assume that k1, k2, k3, and k4 are torsional and k5 and k6 are linear spring constants.
|
Engineering
|
|
54
|
Based on the image provided, can you determine the per capita GDP of Country 2 and Country 3 for the year 2018?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$ 44367.09, $ 6044.78
|
Based on the image provided, can you determine the per capita GDP of Country 2 and Country 3 for the year 2018?
|
Business
|
|
55
|
Consider the capacitor shown in <image 1>. The capacitance C(t) is given by $C(t) = C_0 (1 + 0.5 sin t)$. The voltage across this capacitor is given by $v(t) = 2 sin wt$ Find the current through the capacitor.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$C_0 sin wt cos t + 2w C_0 cos wt (1 + 0.5 sin t)$
|
Consider the capacitor shown in <image 1>. The capacitance C(t) is given by $C(t) = C_0 (1 + 0.5 sin t)$. The voltage across this capacitor is given by $v(t) = 2 sin wt$ Find the current through the capacitor.
|
Engineering
|
|
56
|
Lines drawn parallel to the base of the triangle pictured, separate the other two sides into 10 equally large parts. What percentage of the triangle is grey?
<image1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$45 \%$
|
Lines drawn parallel to the base of the triangle pictured, separate the other two sides into 10 equally large parts. What percentage of the triangle is grey?
<image1>
|
Math
|
|
57
|
What number is three places away from itself plus three, two places away from itself multiplied by two, two places away from itself less four and two places away from itself divided by three?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
9
|
What number is three places away from itself plus three, two places away from itself multiplied by two, two places away from itself less four and two places away from itself divided by three?
|
Math
|
|
58
|
Start at one of the four corner letters and spiral clockwise round the perimeter, finishing at the centre letter to spell out a nine-letter word. You must provide the missing letters.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
DISBELIEF
|
Start at one of the four corner letters and spiral clockwise round the perimeter, finishing at the centre letter to spell out a nine-letter word. You must provide the missing letters.
|
Social
|
|
59
|
Groups of men from three different areas of the country are to be tested for mean weight. The entries in Table 12.13 are the weights for the different groups. <image 1> What is the Mean Square Factor?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
2,469.6
|
Groups of men from three different areas of the country are to be tested for mean weight. The entries in Table 12.13 are the weights for the different groups. <image 1> What is the Mean Square Factor?
|
Math
|
|
60
|
If x = 20 and y = 30 in the figure above, what is the value of z?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
70
|
If x = 20 and y = 30 in the figure above, what is the value of z?
|
Math
|
|
61
|
Can you tell me the count of countries with fiscal deficits in 2021?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
1
|
Can you tell me the count of countries with fiscal deficits in 2021?
|
Business
|
|
62
|
A flag consists of three stripes of equal width, which are divided into two, three and four equal parts, respectively. What fraction of the area of the flag is coloured grey?
<image1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$\frac{5}{9}$
|
A flag consists of three stripes of equal width, which are divided into two, three and four equal parts, respectively. What fraction of the area of the flag is coloured grey?
<image1>
|
Math
|
|
63
|
Could you provide the depths of the points Point B and Point C separately?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
5.7, 0.0
|
Could you provide the depths of the points Point B and Point C separately?
|
Science
|
|
64
|
n $\triangle ABC$, $AB = 6$, $BC = 7$, and $CA = 8$. Point $D$ lies on $\overline{BC}$, and $\overline{AD}$ bisects $\angle BAC$. Point $E$ lies on $\overline{AC}$, and $\overline{BE}$ bisects $\angle ABC$. The bisectors intersect at $F$. What is the ratio $AF$ : $FD$?<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
2:1
|
n $\triangle ABC$, $AB = 6$, $BC = 7$, and $CA = 8$. Point $D$ lies on $\overline{BC}$, and $\overline{AD}$ bisects $\angle BAC$. Point $E$ lies on $\overline{AC}$, and $\overline{BE}$ bisects $\angle ABC$. The bisectors intersect at $F$. What is the ratio $AF$ : $FD$?<image 1>
|
Math
|
|
65
|
<image 1> Just Beachy is a retail business located on the coast of Florida where it sells a variety of beach apparel, T-shirts, and beach-related souvenir items. They purchase all of their inventory from wholesalers and distributors. For the year ending December 31, 2017, they reported these revenues and expenses. What is the net income?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$155,000
|
<image 1> Just Beachy is a retail business located on the coast of Florida where it sells a variety of beach apparel, T-shirts, and beach-related souvenir items. They purchase all of their inventory from wholesalers and distributors. For the year ending December 31, 2017, they reported these revenues and expenses. What is the net income?
|
Business
|
|
66
|
Do you know the vertical measurement of the southernmost point?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
-0.4 km
|
Do you know the vertical measurement of the southernmost point?
|
Science
|
|
67
|
Look at the following schedule. When does the snowman competition end?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
4:30 PM.
|
Look at the following schedule. When does the snowman competition end?
|
Business
|
|
68
|
Certain crystal structures are sometimes similar to other crystal structures in a variety of ways. This problem demonstrates one of the similarities that exists between two of the cubic crystal structures discussed in chapter 3. Specifically, a family of planes in one of these crystal structures is equivalent to a family of planes in the other crystal structure. For now, we are just considering how equal-sized spheres, but you may also consider this as atoms of the same element packing together to form two crystals, each of which exhibits one of these different crystal structures. The figure below depicts a plane of atoms of radius R in some crystal. The plane intersects the atoms through their centers. Therefore, we do not see atoms above and below this plane. We just see the circular cross-sections of the atoms that lie within the plane. <image 1> If we consider only simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC) crystal structures as options, and we have no more information to rely on, what is the possible identity for the plane shown above?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
SC {100}
|
Certain crystal structures are sometimes similar to other crystal structures in a variety of ways. This problem demonstrates one of the similarities that exists between two of the cubic crystal structures discussed in chapter 3. Specifically, a family of planes in one of these crystal structures is equivalent to a family of planes in the other crystal structure. For now, we are just considering how equal-sized spheres, but you may also consider this as atoms of the same element packing together to form two crystals, each of which exhibits one of these different crystal structures. The figure below depicts a plane of atoms of radius R in some crystal. The plane intersects the atoms through their centers. Therefore, we do not see atoms above and below this plane. We just see the circular cross-sections of the atoms that lie within the plane. <image 1> If we consider only simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC) crystal structures as options, and we have no more information to rely on, what is the possible identity for the plane shown above?
|
Science
|
|
69
|
Each square contains the letters of a nine-letter word. Find the two words that are similar in meaning.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
OSCILLATE, FLUCTUATE
|
Each square contains the letters of a nine-letter word. Find the two words that are similar in meaning.
|
Social
|
|
70
|
How many countries have achieved fiscal surpluses in 2018?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
2
|
How many countries have achieved fiscal surpluses in 2018?
|
Business
|
|
71
|
The tank in Fig. P2.63 has a 4-cmdiameter plug which will pop out if the hydrostatic force on it reaches 25 N. For 20°C fluids, what will be the reading h on the manometer when this happens? <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
0.152 m
|
The tank in Fig. P2.63 has a 4-cmdiameter plug which will pop out if the hydrostatic force on it reaches 25 N. For 20°C fluids, what will be the reading h on the manometer when this happens? <image 1>
|
Science
|
|
72
|
Then the outer diameter of the round nut is ()
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
12√{3}cm
|
Then the outer diameter of the round nut is ()
|
Engineering
|
|
73
|
A transverse wave is traveling on a string. The graph above shows position as a function of time for a point on the string. If the frequency of the wave is doubled, what is the new average speed of the point?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$9.6 \mathrm{~m} / \mathrm{s}$
|
A transverse wave is traveling on a string. The graph above shows position as a function of time for a point on the string. If the frequency of the wave is doubled, what is the new average speed of the point?
|
Science
|
|
74
|
Do you know the depth of the point farthest west?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
1.9 km
|
Do you know the depth of the point farthest west?
|
Science
|
|
75
|
Use the data from the Nutrition Facts label below to answer the following questions: a. Use the data given on the label for grams of fat and calories from fat to construct a conversion factor that has the units calories per gram. b. Calculate the mass in kilograms for 20 servings of the food. c. Calculate the mass of protein in micrograms for one serving of the food. d. What is the correct number of significant figures for the answer in item a? <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
7.5 Calories/g;0.6 kg;2*10^6$\mu $g;1
|
Use the data from the Nutrition Facts label below to answer the following questions: a. Use the data given on the label for grams of fat and calories from fat to construct a conversion factor that has the units calories per gram. b. Calculate the mass in kilograms for 20 servings of the food. c. Calculate the mass of protein in micrograms for one serving of the food. d. What is the correct number of significant figures for the answer in item a? <image 1>
|
Science
|
|
76
|
Can you provide the balances of trade figures for Country 4, Country 1 and Country 2 in 2027?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
-3.48 x 10^12 $, 0.47 x 10^12 $, -0.61 x 10^12 $
|
Can you provide the balances of trade figures for Country 4, Country 1 and Country 2 in 2027?
|
Business
|
|
77
|
The square rubber block is subjected to a shear strain of $\gamma $_xy=40*10^(-6)x+20*10^(-6)y, where x and y are in mm.This deformation is in the shape shown by the dashed lines, where all the lines parallel to the y axis remain vertical after the deformation. Determine the normal strain along edge BC. <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
6.00*10^(-3) mm/mm
|
The square rubber block is subjected to a shear strain of $\gamma $_xy=40*10^(-6)x+20*10^(-6)y, where x and y are in mm.This deformation is in the shape shown by the dashed lines, where all the lines parallel to the y axis remain vertical after the deformation. Determine the normal strain along edge BC. <image 1>
|
Engineering
|
|
78
|
Patrick Wall is considering the purchase of one of the two bonds described in the following table. Wall realizes his decision will depend primarily on effective duration, and he believes that interest rates will decline by 50 basis points at all maturities over the next 6 months. <image 1> Calculate the percentage price change forecasted by effective duration for both the CIC and PTR bonds if interest rates decline by 50 basis points over the next 6 months.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
CIC: 3.675%; PTR: 2.700%
|
Patrick Wall is considering the purchase of one of the two bonds described in the following table. Wall realizes his decision will depend primarily on effective duration, and he believes that interest rates will decline by 50 basis points at all maturities over the next 6 months. <image 1> Calculate the percentage price change forecasted by effective duration for both the CIC and PTR bonds if interest rates decline by 50 basis points over the next 6 months.
|
Business
|
|
79
|
When the hand is holding the 5-lb stone, the humerus H, assumed to be smooth, exerts normal forces F_C and F_A on the radius C and ulna A, respectively, as shown. If the smallest crosssectional area of the ligament at B is 0.30 in^2, determine the greatest average tensile stress to which it is subjected. <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
121 psi
|
When the hand is holding the 5-lb stone, the humerus H, assumed to be smooth, exerts normal forces F_C and F_A on the radius C and ulna A, respectively, as shown. If the smallest crosssectional area of the ligament at B is 0.30 in^2, determine the greatest average tensile stress to which it is subjected. <image 1>
|
Engineering
|
|
80
|
A circle of radius 1 is tangent to a circle of radius 2. The sides of $ \triangle ABC$ are tangent to the circles as shown, and the sides $ \overline{AB}$ and $ \overline{AC}$ are congruent. What is the area of $ \triangle ABC$?
<image1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$16\sqrt{2}$
|
A circle of radius 1 is tangent to a circle of radius 2. The sides of $ \triangle ABC$ are tangent to the circles as shown, and the sides $ \overline{AB}$ and $ \overline{AC}$ are congruent. What is the area of $ \triangle ABC$?
<image1>
|
Math
|
|
81
|
Find two words (4, 6) in this diagram. Letters are traced across the circle by chords. If the next letter is four letters or less away, it will be found by tracing around the circumference. Clue: no coastline
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
LAND LOCKED
|
Find two words (4, 6) in this diagram. Letters are traced across the circle by chords. If the next letter is four letters or less away, it will be found by tracing around the circumference. Clue: no coastline
|
Social
|
|
82
|
What is the biggest problem with this figure?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
No x-axis label
|
What is the biggest problem with this figure?
|
Math
|
|
83
|
The anchor bolt was pulled out of the concrete wall and the failure surface formed part of a frustum and cylinder. This indicates a shear failure occurred along the cylinder BC and tension failure along the frustum AB. If the shear and normal stresses along these surfaces have the magnitudes shown, determine the force P that must have been applied to the bolt.<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
P=68327.01N
|
The anchor bolt was pulled out of the concrete wall and the failure surface formed part of a frustum and cylinder. This indicates a shear failure occurred along the cylinder BC and tension failure along the frustum AB. If the shear and normal stresses along these surfaces have the magnitudes shown, determine the force P that must have been applied to the bolt.<image 1>
|
Engineering
|
|
84
|
What number should replace the question mark?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
36
|
What number should replace the question mark?
|
Math
|
|
85
|
The population of an area at the beginning of 2010 was 2,528, and the incidence of a disease in 2010 was shown in the graph below, with no births, deaths, in-migrants or refusals to be examined during the period. <image 1> The point prevalence in 2010/3/1 was
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
0.40%
|
The population of an area at the beginning of 2010 was 2,528, and the incidence of a disease in 2010 was shown in the graph below, with no births, deaths, in-migrants or refusals to be examined during the period. <image 1> The point prevalence in 2010/3/1 was
|
Health
|
|
86
|
Write the signal f(t) shown in <image 1> using the step functions.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
5t^2 [u(t) - u(t - 2)] + 20[u(t - 2) - u(t - 5)] + 15(t - 7)[u(t - 5) - u(t - 7)]
|
Write the signal f(t) shown in <image 1> using the step functions.
|
Engineering
|
|
87
|
DNA replication produces a mirror image of the original strand. DNA replication works from the 5’ end to the 3’ end of the DNA strand. Transcription of DNA to produce an mRNA strand requires a substitution of Thymine nucleobases for Uracil before they are then translated into a protein. If a segment of DNA has the sequence, 5'-GATTAGACAT-3', which of the following would be the mRNA strand produced using this DNA sequence as a template?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
5'-CUAAUCUGUA-3'
|
DNA replication produces a mirror image of the original strand. DNA replication works from the 5’ end to the 3’ end of the DNA strand. Transcription of DNA to produce an mRNA strand requires a substitution of Thymine nucleobases for Uracil before they are then translated into a protein. If a segment of DNA has the sequence, 5'-GATTAGACAT-3', which of the following would be the mRNA strand produced using this DNA sequence as a template?
|
Science
|
|
88
|
Each of the ten points in the diagram is labelled with one of the numbers 0,1 or 2. It is known that the sum of the numbers in the corner points of each white triangle is divisible by 3, while the sum of the numbers in the corner points of each black triangle is not divisible by 3. Three of the points are already labeled as shown in the diagram. With which numbers can the inner point be labeled?
<image1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
only 0
|
Each of the ten points in the diagram is labelled with one of the numbers 0,1 or 2. It is known that the sum of the numbers in the corner points of each white triangle is divisible by 3, while the sum of the numbers in the corner points of each black triangle is not divisible by 3. Three of the points are already labeled as shown in the diagram. With which numbers can the inner point be labeled?
<image1>
|
Math
|
|
89
|
在某地区进行流行病学调查，随机调查了 １００ 位某种疾病患者的年龄，得到如下的样本数据的频率分布直方图,估计该地区这种疾病患者的平均年龄（ 同一组中的数据用该组区间的中点值为代表）
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
47.9
|
在某地区进行流行病学调查，随机调查了 １００ 位某种疾病患者的年龄，得到如下的样本数据的频率分布直方图,估计该地区这种疾病患者的平均年龄（ 同一组中的数据用该组区间的中点值为代表）
|
Math
|
|
90
|
The England women's football team achieved success at the 2023 World Cup. One of the players was Lucy Bronze. The metal bronze is an alloy of copper and tin.
The World Cup trophy was made of silver coated with yellow and white gold. It has a mass of 4.60 kg. Which of the following represents the electronic configuration of a Cu2+ ion?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
$1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 3 d^9$
|
The England women's football team achieved success at the 2023 World Cup. One of the players was Lucy Bronze. The metal bronze is an alloy of copper and tin.
The World Cup trophy was made of silver coated with yellow and white gold. It has a mass of 4.60 kg. Which of the following represents the electronic configuration of a Cu2+ ion?
|
Science
|
|
91
|
In the terrestrial food web below, what would be the effect of a farmer introducing a rat poison into the ecosystem that is toxic to rats and mice?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
The population of foxes would decrease
|
In the terrestrial food web below, what would be the effect of a farmer introducing a rat poison into the ecosystem that is toxic to rats and mice?
|
Science
|
|
92
|
The adjacency list of a directed graph is given as follows. Starting from the vertex V1 and traversing according to the depth-first search method, the obtained vertex sequence is<image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
V1,V5,V4,V7,V6,V3,V2
|
The adjacency list of a directed graph is given as follows. Starting from the vertex V1 and traversing according to the depth-first search method, the obtained vertex sequence is<image 1>
|
Engineering
|
|
93
|
What are the elevations of the points Point A and Point B individually?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
-4.7, 2.5
|
What are the elevations of the points Point A and Point B individually?
|
Science
|
|
94
|
<image 1> Name the harmony in the above example.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
AØ7
|
<image 1> Name the harmony in the above example.
|
Social
|
|
95
|
The following information was taken from the records of Aqua Man Ltd on 30 June 2021. The authorised share capital of Aqua Man Ltd is 400 000 ordinary shares and all shares are in issue. No shares were bought back during the year. Calculate the final dividend per share declared on 30 June 2020.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
25 cents
|
The following information was taken from the records of Aqua Man Ltd on 30 June 2021. The authorised share capital of Aqua Man Ltd is 400 000 ordinary shares and all shares are in issue. No shares were bought back during the year. Calculate the final dividend per share declared on 30 June 2020.
|
Business
|
|
96
|
Choose the correct time signature for each measure of the following melody fragment from the four options (A, B, C, and D) given in each question. <image 1>
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
6/8 3/4 6/8 2/4 3/8 6/8
|
Choose the correct time signature for each measure of the following melody fragment from the four options (A, B, C, and D) given in each question. <image 1>
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Social
|
|
97
|
The graph of $f(x)=\ln x$ (gray) and $g(x)$ (black) is drawn below. $g(x)$ is a transformation of $f(x)$.
What sort of transformation is $g(x)$ of $f(x)$ ?
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
Vertical dilation
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The graph of $f(x)=\ln x$ (gray) and $g(x)$ (black) is drawn below. $g(x)$ is a transformation of $f(x)$.
What sort of transformation is $g(x)$ of $f(x)$ ?
|
Math
|
|
98
|
Circle J has a radius of 10 units, \odot K has a radius of 8 units, and B C = 5.4 units. Find J K.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
12.6
|
Circle J has a radius of 10 units, \odot K has a radius of 8 units, and B C = 5.4 units. Find J K.
|
Math
|
|
99
|
Find the measure of the side of \triangle L M N.
Think step by step before answering.
At the end, present your conclusion in the following format: Final Answer: xxx
|
10
|
Find the measure of the side of \triangle L M N.
|
Math
|
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