Solve the problem.A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 270 feet per second. The height h of the projectile above the water is given by
where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 2208.59 ft
B. 1069.53 ft
C. 1139.06 ft
D. 569.53 ft
Answer: C
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Use the 68-95-99.7 rule to solve the problem.The amount of Jen's monthly phone bill is normally distributed with a mean of $58 and a standard deviation of $12. What percentage of her phone bills are between $22 and $94?
A. 68% B. 99.7% C. 99.9% D. 95%
Provide an appropriate response.Using Heron's formula, find the area of the triangle shown. Round the answer to four significant digits.
A. 64.18 m2 B. 37.35 m2 C. 36.57 m2 D. 4,118 m2
Find the complete factored form of the polynomial f(x) that satisfies the given conditions.Degree 4, leading coefficient -5, zeros at -8, 5, 6i, and -6i
A. f(x) = -5(x + 8)(x - 5)(x + 6i)(x - 6i) B. f(x) = -5(x - 8)(x + 5)(x2 + 36) C. f(x) = -5(x + 8)(x - 5)(x2 + 36) D. f(x) = -5(x - 8)(x + 5)(x + 6i)(x - 6i)
Perform the indicated operations and simplify the expression.
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What will be an ideal response?