Determine the limit by sketching an appropriate graph.
f(x), where f(x) = 
A. 0
B. -3
C. -9
D. -4
Answer: A
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Use a product-to-sum identity to rewrite the expression.sin(12s - 2) sin (6s - 5)
A. 0.5(cos(6s - 7) - cos(18s - 3)) B. 0.5(cos(6s + 3) - cos(18s - 7)) C. 0.5(cos(6s + 3) + cos(18s - 7)) D. 0.5(sin(6s + 3) - sin(18s - 7))
Solve the problem.The following bar graph shows the average annual income for single mothers.
i) Determine a linear function that can be used to estimate the average yearly income for single mothers from year 0 through year 5. Let t represent the year.ii) Using the function from part i, determine the average yearly income for single mothers in year 3.iii) Assuming this trend continues, determine the average yearly income for single mothers in year 13.iv) Assuming this trend continues, in which year will the average yearly income for single mothers reach $33,000?
A.
| i) | I(t) = 775.8t + 24,269 |
iii) $34,354.40
iv) year 12
B.
| i) | I(t) = 775.8t + 24,269 |
iii) $34,354.40
iv) year 12
C.
| i) | I(t) = 770.8t + 24,269 |
iii) $34,289.40
iv) year 12
D.
| i) | I(t) = 775.8t + 24,269 |
iii) $34,354.40
iv) year 13
Find the center of mass (in cm) of the particles with the given masses located at the given points on the x-axis.17 g at (4.9, 0), 23 g at (-9.8, 0), 31 g at (2.5, 0), 44 g at (-8.2, 0)
A. -3.7 cm B. 40 cm C. 0.91 cm D. -11 cm
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. The legs of the right triangle are represented by a and b, and the hypotenuse is represented by c.a = 9, b = 3
A. c = 4.899 B. c = 12 C. c = 27 D. c = 9.487