Solve.A lamp shade has the geometric form as shown. The total surface area of a lamp shade with a slant height s and top and bottom base radii of r2 and r1 is given by  Find an equivalent expression for the total surface area by factoring out a common factor. 

A. ?(r1 + r2)(r1 + r2 + s)
B. ?r1(r1 +  + s + sr2)
C. ?(r12 + r22 + sr1 + sr2)
D. ?(r1 + r2)(r1 + r2 + sr1r2)


Answer: C

Mathematics

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Use percents, percent equations, and/or percent proportions to solve the application.A course syllabus states that Test 1 will have a total of 60 points. If a student earns 48 points, what is the student's grade for this test?

A. 80% B. 24% C. 20% D. 78%

Mathematics

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 12 years of education. Does the model underestimate or overestimate the actual difference?

A. $8951; underestimates B. $7177; underestimates C. $21,215; overestimates D. $12,391; overestimates

Mathematics

Solve the compound inequality. Express the solution using interval notation. Graph the solution set.12 < 3x ? 15

A. (4, 5]

B. [-5, -4)

C. [4, 5)

D. (-5, -4]

Mathematics

Use the comparison test to determine whether the series is convergent or divergent. ?

What will be an ideal response?

Mathematics