Provide an appropriate response.Write an expression that represents the perimeter of the equilateral triangle (a triangle with three sides of equal length). Simplify the expression.
A. (9x + 3) in.
B. (18x + 18) in.
C. (18x + 6) in.
D. (9x + 9) in.
Answer: B
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Solve.The bar graph shows the median annual income for residents of a selected region of the United States, by level of education. The given polynomial models describe the median annual income for men, M, and for women, W, who have completed x years of education.M = -23x3 + 1170x2 - 13,808x + 72,566W = 8x3 - 56x2 + 511x + 14,763Find a mathematical model for M - W and use it to calculate the difference in the median annual income between men and women with 14 years of education. Does the model underestimate or overestimate the actual difference?
A. $12,569; overestimates B. $11,259; underestimates C. $26,877; overestimates D. $9383; underestimates
Find the flux of the curl of field F through the shell S.F = (8 - y)i + (6 + x)j + z4k; S is the upper hemisphere of x2 + y2 + z2 = 81
A. -4? B. 324? C. 2? D. 162?
Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.A company produced 2,730,000 small appliances in one year and made a profit of $6,720,000. What was the profit on each appliance?
A. $2.46 × 103 B. $24.60 C. $2.46 D. $2.46 × 106
Solve the problem.A wildlife refuge currently has 100 deer in it. A local wildlife society decides to add an additional 2 deer each month. It is already known that the deer population is growing 12% per year. The size of the population is given by the recursively defined sequence p0 = 100 pn = 1.01pn-1 + 2How many deer are in the wildlife refuge at the end of the second month? That is, what is p2?
Fill in the blank(s) with the appropriate word(s).