Aparticle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). if the velocity of the particle at t = 0 is v(0) = 7 and its position at t = 0 is x(0) = 0, then its position at time t is x(t) = ?

a. sin(2t) + 5t
b. sin(2t) + 7t
c. sin(2t) + 9t
d. 16sin(2t) + 7t

Multiply. −2x(6 x 4 −7 x 2 +x−5) express the answer in standard form. enter your answer in the box.

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 20 = x a. 5, 4 b. -5, -4 c. -5, 4 d. 5, -4