Provide an appropriate response.Find ds/dt when ? = ?/4 if s = sin ? and d?/dt = 10.
Fill in the blank(s) with the appropriate word(s).
5sqrt(2)
Mathematics
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Factor the polynomial completely.16x3y + 32x2y + 16xy
A. 2y(4x + 1)(2x + 8) B. 2xy(8x + 4)(x + 2) C. 2xy(4x + 4)(2x + 2) D. 2xy(4x + 1)(2x + 8)
Mathematics
Solve the inequality.8m2 - 11m > 0
A. - 
< x < 0
B. 0 < x < 
C. x < 0 or x > 
D. x < - 
or x > 
Mathematics
Find the probability.A bag contains 9 red marbles, 5 blue marbles, and 2 green marbles. What is the probability of choosing a blue marble?
A. 
B. 
C. 
D. 
Mathematics
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.x2 = 5 - 6x
A. (i) {-1 ± 
} (ii) {2.742, -4.742}
B. (i) {3 + 
} (ii) {6.742}
C. (i) {-3 ± 2
} (ii) {4.483}
D. (i) {-3 ± 
} (ii) {0.742, -6.742}
Mathematics