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1 | When a spring does work on an object, we cannot find the work by simply multiplying the spring force by the object's displacement. The reason is that there is no one value for the force-it changes. However, we can split the displacement up into an infinite number of tiny parts and then approximate the force in each as being constant. Integration sums the work done in all those parts. Here we use the generic result of the integration.
In Figure, a cumin canister of mass $m=0.40 \mathrm{~kg}$ slides across a horizontal frictionless counter with speed $v=0.50 \mathrm{~m} / \mathrm{s}$. It then runs into and compresses a spring of spring constant $k=750 \mathrm{~N} / \mathrm{m}$. When the canister is momentarily stopped by the spring, by what distance $d$ is the spring compressed?<end_of_utterance>
Assistant: | [
"1.2"
] | |
2 | what is the total volume of the measuring cup?<end_of_utterance>
Assistant: | [
"1000"
] | |
4 | Subtract all large rubber spheres. Subtract all big shiny cylinders. How many objects are left?<end_of_utterance>
Assistant: | [
"4"
] | |
11 | Subtract all red things. Subtract all tiny matte balls. How many objects are left?<end_of_utterance>
Assistant: | [
"5"
] | |
13 | How many objects are preferred by more than 90 percent of people in at least one category?<end_of_utterance>
Assistant: | [
"0"
] | |
16 | How many items sold less than 5 units in at least one store?<end_of_utterance>
Assistant: | [
"2"
] | |
19 | what is the highest amount this class measures?<end_of_utterance>
Assistant: | [
"400"
] | |
21 | Fill in the blank to describe the model. The model has 4 dots divided into 2 equal groups. There are (_) dots in each group.<end_of_utterance>
Assistant: | [
"2"
] | |
22 | How many people in the image were born after the end of World War II?<end_of_utterance>
Assistant: | [
"0"
] | |
27 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"11"
] | |
29 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"4"
] | |
36 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"9"
] | |
37 | What is the limit as x approaches -1?<end_of_utterance>
Assistant: | [
"3"
] | |
38 | How many bars have values smaller than 6?<end_of_utterance>
Assistant: | [
"0"
] | |
40 | Subtract all brown blocks. Subtract all large blue rubber things. How many objects are left?<end_of_utterance>
Assistant: | [
"7"
] | |
41 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"7"
] | |
42 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"8"
] | |
44 | Chase wants to buy 4 kilograms of oval beads and 5 kilograms of star-shaped beads. How much will he spend? (Unit: $)<end_of_utterance>
Assistant: | [
"18"
] | |
45 | An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between August and September? (Unit: minutes per month)<end_of_utterance>
Assistant: | [
"-3"
] | |
47 | Subtract all rubber balls. Subtract all yellow shiny things. How many objects are left?<end_of_utterance>
Assistant: | [
"6"
] | |
49 | What is the sum of the digits on either end of the sign in the corner?<end_of_utterance>
Assistant: | [
"0"
] | |
52 | Subtract all big red metallic spheres. Subtract all big brown matte things. How many objects are left?<end_of_utterance>
Assistant: | [
"6"
] | |
53 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"1"
] | |
56 | What is the perimeter of the rectangle?<end_of_utterance>
Assistant: | [
"6"
] | |
57 | Subtract all small balls. Subtract all blue rubber things. How many objects are left?<end_of_utterance>
Assistant: | [
"2"
] | |
60 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"22"
] | |
63 | Subtract all red matte cubes. Subtract all small green metal objects. How many objects are left?<end_of_utterance>
Assistant: | [
"7"
] | |
67 | What is the perimeter of the square?<end_of_utterance>
Assistant: | [
"16"
] | |
69 | Subtract all big matte balls. Subtract all green rubber objects. How many objects are left?<end_of_utterance>
Assistant: | [
"7"
] | |
70 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"8"
] | |
71 | What is the perimeter of the rectangle?<end_of_utterance>
Assistant: | [
"18"
] | |
72 | A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have exactly 36 houses? (Unit: blocks)<end_of_utterance>
Assistant: | [
"1"
] | |
74 | What is the difference of largest and smallest bar?<end_of_utterance>
Assistant: | [
"47.6"
] | |
77 | Which year showed the largest difference in the data points between the two lines<end_of_utterance>
Assistant: | [
"2019"
] | |
78 | Find the missing value.<end_of_utterance>
Assistant: | [
"8"
] | |
81 | What is the value of r at theta=3*pi/2?<end_of_utterance>
Assistant: | [
"-1"
] | |
84 | ABCD is a square. Inscribed Circle center is O. Find the the angle of ∠AMK. Return the numeric value.<end_of_utterance>
Assistant: | [
"130.9"
] | |
85 | How many countries have people working for more than 35 hours over the years?<end_of_utterance>
Assistant: | [
"2"
] | |
88 | A square is tangent to a line at point P in the figure above. What is the value of x?<end_of_utterance>
Assistant: | [
"30"
] | |
89 | How many miles per gallon do an average city bus get?<end_of_utterance>
Assistant: | [
"25"
] | |
90 | Subtract all yellow matte blocks. Subtract all tiny brown cylinders. How many objects are left?<end_of_utterance>
Assistant: | [
"5"
] | |
93 | What's the computing and wirless total for semiconductor demand in 2014?<end_of_utterance>
Assistant: | [
"197.3"
] | |
96 | How many times Dissatisfied more than satisfied?<end_of_utterance>
Assistant: | [
"3.9"
] | |
97 | How many algorithms have accuracies higher than 9?<end_of_utterance>
Assistant: | [
"0"
] | |
98 | Find the value of the square in the figure.<end_of_utterance>
Assistant: | [
"2"
] | |
100 | What is the sum of all the values in the ruling group?<end_of_utterance>
Assistant: | [
"12"
] | |
102 | The shape is made of unit squares. What is the area of the shape?<end_of_utterance>
Assistant: | [
"6"
] | |
103 | Subtract all small purple matte blocks. Subtract all blocks. How many objects are left?<end_of_utterance>
Assistant: | [
"2"
] | |
104 | What is the fraction of females facing the camera?<end_of_utterance>
Assistant: | [
"0.8"
] | |
106 | How many bars have values smaller than 1?<end_of_utterance>
Assistant: | [
"0"
] | |
108 | Find out the average of the bottom two countries ??<end_of_utterance>
Assistant: | [
"51.04"
] | |
109 | Subtract all tiny balls. Subtract all green metallic things. How many objects are left?<end_of_utterance>
Assistant: | [
"5"
] | |
111 | Subtract all big gray matte things. Subtract all small metallic cylinders. How many objects are left?<end_of_utterance>
Assistant: | [
"5"
] | |
113 | How many baseballs are there?<end_of_utterance>
Assistant: | [
"20"
] | |
115 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"3"
] | |
118 | What is the maximum value of this function?<end_of_utterance>
Assistant: | [
"1"
] | |
120 | What is the degree of this function?<end_of_utterance>
Assistant: | [
"3"
] | |
121 | In trying to calculate how much money could be saved by packing lunch, Manny recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Wednesday and Thursday? (Unit: $, per day)<end_of_utterance>
Assistant: | [
"5"
] | |
126 | What is the age gap between the leftmost and the rigtmost person?<end_of_utterance>
Assistant: | [
"9"
] | |
127 | How much more accurate is the most accurate algorithm compared the least accurate algorithm?<end_of_utterance>
Assistant: | [
"5"
] | |
128 | Subtract all large metal blocks. Subtract all yellow cylinders. How many objects are left?<end_of_utterance>
Assistant: | [
"6"
] | |
129 | Move the ruler to measure the length of the twig to the nearest inch. The twig is about (_) inches long.<end_of_utterance>
Assistant: | [
"3"
] | |
130 | How many people in the image were born after the end of World War II?<end_of_utterance>
Assistant: | [
"0"
] | |
131 | How many bars have value below 40?<end_of_utterance>
Assistant: | [
"3"
] | |
133 | In how many years, is the merchandise exports greater than 0.92 %?<end_of_utterance>
Assistant: | [
"4"
] | |
136 | What is the difference between the highest and the lowest value of blue bar?<end_of_utterance>
Assistant: | [
"64"
] | |
144 | Natalie buys 4.6 kilograms of turmeric. What is the total cost? (Unit: $)<end_of_utterance>
Assistant: | [
"13.8"
] | |
145 | Can you find the missing term?<end_of_utterance>
Assistant: | [
"10"
] | |
146 | Kimberly's classmates revealed how many science articles they read. What is the range of the numbers?'<end_of_utterance>
Assistant: | [
"4"
] | |
156 | What is the limit of the as x approaches 1 from the left side?<end_of_utterance>
Assistant: | [
"4"
] | |
157 | What number is shown?<end_of_utterance>
Assistant: | [
"9335"
] | |
158 | What is the age gap between these two people in image?<end_of_utterance>
Assistant: | [
"7"
] | |
159 | What is the difference between two consecutive major ticks on the Y-axis ?<end_of_utterance>
Assistant: | [
"100"
] | |
161 | What is the sum of the two numbers visible in the picture?<end_of_utterance>
Assistant: | [
"71"
] | |
162 | The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 17 birds but fewer than 33 birds? (Unit: flocks)<end_of_utterance>
Assistant: | [
"4"
] | |
163 | What number is shown?<end_of_utterance>
Assistant: | [
"7519"
] | |
165 | Subtract all cyan rubber cylinders. Subtract all tiny shiny cubes. How many objects are left?<end_of_utterance>
Assistant: | [
"6"
] | |
167 | What is the biggest zero of this function?<end_of_utterance>
Assistant: | [
"2"
] | |
169 | What is the difference between two consecutive major ticks on the Y-axis ?<end_of_utterance>
Assistant: | [
"5"
] | |
171 | How many cinnamon rolls are there?<end_of_utterance>
Assistant: | [
"20"
] | |
175 | What is the sum of accuracies of the algorithm liver for all the datasets?<end_of_utterance>
Assistant: | [
"24"
] | |
180 | Subtract all tiny brown cylinders. Subtract all tiny brown objects. How many objects are left?<end_of_utterance>
Assistant: | [
"6"
] | |
183 | Subtract all brown cubes. Subtract all gray cylinders. How many objects are left?<end_of_utterance>
Assistant: | [
"4"
] | |
184 | How many bars have values smaller than 0?<end_of_utterance>
Assistant: | [
"0"
] | |
187 | What number is shown?<end_of_utterance>
Assistant: | [
"9015"
] | |
188 | How many methods in the table achieve an A-847 score higher than 20.0?<end_of_utterance>
Assistant: | [
"3"
] | |
189 | What is the lowest accuracy reported in the whole chart?<end_of_utterance>
Assistant: | [
"1"
] | |
190 | Move the ruler to measure the length of the nail to the nearest inch. The nail is about (_) inches long.<end_of_utterance>
Assistant: | [
"2"
] | |
191 | In how many years, is the volume of the air carriers in Ethiopia greater than the average volume of the air carriers in Ethiopia taken over all years ?<end_of_utterance>
Assistant: | [
"4"
] | |
193 | Subtract all red things. Subtract all cylinders. How many objects are left?<end_of_utterance>
Assistant: | [
"3"
] | |
194 | On average, how many people can commute on this vehicle?<end_of_utterance>
Assistant: | [
"50"
] | |
197 | How many sequences have negative Influence Scores?<end_of_utterance>
Assistant: | [
"2"
] | |
199 | Figure 23-42 is a section of a conducting rod of radius $R_1=1.30 \mathrm{~mm}$ and length $L=$ $11.00 \mathrm{~m}$ inside a thin-walled coaxial conducting cylindrical shell of radius $R_2=10.0 R_1$ and the (same) length $L$. The net charge on the rod is $Q_1=+3.40 \times 10^{-12} \mathrm{C}$; that on the shell is $Q_2=-2.00 Q_1$. What is the magnitude $E$ of the electric field at radial distance $r=2.00 R_2$?<end_of_utterance>
Assistant: | [
"0.21"
] | |
201 | What is the sum of all the values in the border group?<end_of_utterance>
Assistant: | [
"19"
] | |
202 | What is the value of the smallest bar?<end_of_utterance>
Assistant: | [
"3"
] | |
204 | از سمت راست تصویر درب دوم چند شیشه بدون رنگ داره؟<end_of_utterance>
Assistant: | [
"12"
] | |
205 | A statistician analyzed the number of runs scored by players last season. How many players scored more than 2 runs last season?'<end_of_utterance>
Assistant: | [
"24"
] | |
207 | What is the sum of the accuracies of the algorithms magic and secure?<end_of_utterance>
Assistant: | [
"5"
] | |
208 | What is the age gap between the leftmost and the rigtmost person?<end_of_utterance>
Assistant: | [
"5"
] | |
209 | What is the highest value in black line chart ?<end_of_utterance>
Assistant: | [
"28.3"
] |
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