a.
To write:
A multiplication problem that describes the change in the number of sophomores taking mathematics at Union for the change over the next 4 years.
b.
To write:
A multiplication problem that describes the change in the number of sophomores taking mathematics at Union for situation 5 years ago.
c.
To write:
A multiplication problem that describes the change in the number of sophomores taking mathematics at Union for the change over the next
d.
To write:
A multiplication problem that describes the change in the number of sophomores taking mathematics at Union for situation
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A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
- The answer is B, Could you please show the steps to obtain the answerarrow_forward2. Suppose that U(x, y, z) = x² + y²+ z² represents the temperature of a 3-dimensional solid object at any point (x, y, z). Then F(x, y, z) = -KVU (x, y, z) represents the heat flow at (x, y, z) where K > 0 is called the conductivity constant and the negative sign indicates that the heat moves from higher temperature region into lower temperature region. Answer the following questions. (A) [90%] Compute the inward heat flux (i.e., the inward flux of F) across the surface z = 1 - x² - y². (B) [10%] Use the differential operator(s) to determine if the heat flow is rotational or irrotational.arrow_forwardCould you show why the answer is B Using polar coordinates and the area formulaarrow_forward
- 1. The parametric equations x = u, y = u cos v, z = usin v, with Ou≤ 2, 0 ≤ v ≤ 2π represent the cone that is obtained by revolving (about x-axis) the line y = x (for 0 ≤ x ≤2) in the xy-plane. Answer the following questions. (A) [50%] Sketch the cone and compute its surface area, which is given by dS = [ | Ər Or ди მა × du dv with S being the cone surface and D being the projection of S on the uv-plane. (B) [50%] Suppose that the density of the thin cone is σ(x, y, z) = 0.25x gr/cm². Compute the total mass of the cone.arrow_forwardThe value of sin (2V · F) at x = 3, y = 3, z = −4, where F -0.592 -0.724 0.661 -0.113 -0.822 -0.313 0.171 0.427 = (-2x² + -4,2yz − x − 3, −5xz - 2yz), isarrow_forward14 A survey is conducted to determine whether would prefer to work at home, if given the 20 office employees of a certain company chance. The overall results are shown in the first bar graph, and the results broken down by gender are presented in the second. a. Interpret the results of each graph. b. Discuss the added value in including gen- der in the second bar graph. (The second bar graph in this problem is called a side by side bar graph and is often used to show results broken down by two or more variables.) c. Compare the side by side bar graph with the two pie charts that you made for Question 6. Which of the two methods is best for comparing two groups, in your opinion? A Would you prefer to work at home? (n=20) 60 50 40 Percent 20 30 20 30 10 0 No Yes Prefer to work at home? (10 males, 10 females) 80 Percent 60 00 40 40 20- No Yes No Yes Female Malearrow_forward
- The correct answer is C Could you show me whyarrow_forwardFrequency 12 Suppose that a random sample of 270 gradu- ating seniors are asked what their immediate priorities are, including whether buying a house is a priority. The results are shown in the following bar graph. a. The bar graph is misleading; explain why. b. Make a new bar graph that more fairly presents the results. Is Buying a House a Priority? 300 250 200 150 100 50 0 Yes No Undecidedarrow_forwardThe graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -4. Select all that apply: ☐ f(x) is not continuous at x = -4 because it is not defined at x = −4. ☐ f(x) is not continuous at x = -4 because lim f(x) does not exist. x-4 f(x) is not continuous at x = -4 because lim f(x) = f(−4). ☐ f(x) is continuous at x = -4. x-4 ين من طلب نہ 1 2 3 4 5 6 7arrow_forward
- The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -1. -7-6-5 N HT Select all that apply: ☐ f(x) is not continuous at x = -1 because it is not defined at x = -1. ☐ f(x) is not continuous at -1 because lim f(x) does not exist. x-1 ☐ f(x) is not continuous at x = -1 because lim f(x) = f(−1). ☐ f(x) is continuous at x = -1. x-1 5 6 7arrow_forwardFrequency 11 A polling organization wants to find out what voters think of Issue X. It chooses a random sample of voters and asks them for their opinions of Issue X: yes, no, or no opinion. I organize the results in the following bar graph. a. Make a frequency table of these results (including the total number). brocb. Evaluate the bar graph as to whether it biz s b fairly represents the results. of beau no STORE TO OW! vd wob spind 550 540 500 vd 480 420 360 300 250 240 Yes No Undecided Opinion on Issue Xarrow_forwardPercent 13 A car dealer specializing in minivan sales saibe conducts a survey to find out more about who its customers are. One of the variables at the company measures is gender; the results of this part of the survey are shown in the following bar graph. pow a. Interpret these results. b. Explain whether you think the bar graph is a fair and accurate representation of this data. 70 Gender of Customers 60 50 40 30 20 10 0 Males Femalesarrow_forward
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