Factor completely. If unfactorable, indicate that the polynomial is prime.27k4t2 - 75k2t4
A. 3(3k2t + 5kt2)2
B. 3(3k2t + 5kt2)(3k2t - 5kt2)
C. 3k2t2(3k - 5t)2
D. 3k2t2(3k + 5t)(3k - 5t)
Answer: D
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Find the area of the specified region.Inside the circle r = a sin? and outside the cardioid r = a(1 - sin ?), a > 0
A. 
(2? - 3
)
B. 
(3
- ?)
C. 
(6 - ?)
D. 
(4? - 3
)
Classify ?ABC using its sides.
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400
Solve the problem.To raise money, a group of three friends is each trying to sell 100 candles. Each friend has a package containing the same number of tapers, votives, and tealights. The tapers sell for $6.00 each, the votives sell for $1.50 each, and the tealights sell for $0.75 each. Maya sold all of the candles to raise $431.25, Lorrin sold all of the tapers and tealights to raise $378.75, while Sara sold all the votives, all the tealights, and half of the tapers to raise $251.25. How many of each type of candle did each package contain?
What will be an ideal response?