Find the product.(5r + 4t)4
A. 625r4 + 2000r3t + 2400r2t2 + 2000rt3 + 256t4
B. 625r4 + 2000r3t + 2400r2t2 + 1280rt3 + 256t4
C. 625r4 + 625r3t + 2400r2t2 + 2400rt3 + 256t4
D. 625r4 + 5r3t + 2000r2t2 + 2000rt3 + 256t4
Answer: B
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Solve.A painting was sold in 1985 for $ 2 million. The painting was then resold in 1996 for $ 6 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 2. (Round decimals to three places.)
A. k = 0.1; V(t) = 2e0.1t, where V(t) is in millions and t is the number of years after 1985. B. k = 0.1; V(t) = 2e0.1t, where V(t) is in millions and t is the number of years after 1997. C. k = 0.092; V(t) = 2e0.092t, where V(t) is in millions and t is the number of years after 1985. D. k = 0.1; V(t) = 2e0.1, where V(t) is in millions and t is the number of years after 1985.
Find a rectangular equation for the plane curve defined by the parametric equations.x = 2t - 1, y = t2 + 7; -4 ? t ? 4
A. y = - x + 30; for x in -6 ? x ? 4
B. y = x2 +
x +
; for x in -9 ? x ? 7
C. y = x2 + 1; for x in -2 ? x ? 2
D. y = x2 + 1; for x in -6 ? x ? 4
Solve the problem.Doctors predict that by administering a vaccine, the number of new cases of a certain childhood disease will decrease by half each year. If 600 people were afflicted with the disease in 2017, estimate the number of new cases in 2022. (Round to the nearest whole number, if necessary.)
A. 38 new cases in 2022 B. 19 new cases in 2022 C. 75 new cases in 2022 D. 9 new cases in 2022
Simplify the expression.
A. 4
B. 5
C. 7
D. 22