Use the product-to-sum identities to rewrite the expression as the sum or difference of two functions.sin 40° cos 13°
A. 
[cos 53° + cos 27°]
B. 
[sin27° - sin 53°]
C. 
[cos 27° - cos 53°]
D. 
[sin 53° + sin 27°]
Answer: D
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Provide an appropriate response.A sample space is partitioned by events E, F, and G, where P(E) = src="https://sciemce.com/media/4/ppg__rrr0617190818__f1q7g6.jpg" style="vertical-align: -17.0px;" />. Find P(E?S).
Fill in the blank(s) with the appropriate word(s).
, P(F) = 
, and P(G) = 
. Suppose that S is an event such that P(S?E) = 
, P(S?F) = 
, AND P(S?G) =
Solve the problem.Ron throws a ball straight up with an initial speed of 70 feet per second from a height of 5 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?
A. x = 0, y = -16t2 + 70t + 5 4.445 sec, 2.188 sec, 81.563 feet B. x = 0, y = -16t2 + 70t + 5 8.605 sec, 2.188 sec, 597.255 feet C. x = 0, y = -16t2 + 70t + 5 8.891 sec, 2.188 sec, 76.563 feet D. x = 0, y = -16t2 + 70t + 5 4.302 sec, 2.188 sec, 5.025 feet
Write in terms of the cofunction of a complementary angle.tan 123°20'
A. cot 32°40' B. cot -33°20' C. tan -33°40' D. cot 33°40'
Simplify the expression, and combine like terms.-(3z - 7) + 7(10z + 8)
A. 67z + 1 B. 67z + 15 C. 67z + 63 D. 67z + 49