160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)

3 0

3 years ago

Which of the following are solutions to the equation sinx cosx = (sqrt of 3)/4? Check all that apply.

Dmitriy789 [7]

$\sin x \cos x = \dfrac{\sqrt 3}{4}$

$2 \sin x \cos x = \dfrac{\sqrt 3}{2}$

$\sin 2x = \sin \frac \pi 3$

$2x = \frac \pi 3 + 2 \pi n \textrm{ or } 2x = (\pi - \frac \pi 3) + 2 \pi n \quad \textrm{integer } n$

$x = \frac \pi 6 + \pi n \textrm{ or } x = \frac \pi 3 + \pi n$

Choices A and C

6 0

3 years ago

when deciding how much money to set aside for a new car, a good rule of thumb to follow is to budget about one-fifth of your mon

joja [24]

3750(0.20)=$750
1/5 as a percent is 20% and as a fraction it is 0.20

5 0

3 years ago