4 years ago

What is the value of -5 to the 4th power? A) 20 B) 625 C) 125 D) -625

2 answers:

5 0

$\text{If is}\ -5^4,\ \text{then:}\\\\-5^4=-5\cdot5\cdot5\cdot5=-625\to\boxed{D)}\\\\\text{If is}\ (-5)^4,\ \text{then:}\\\\(-5)^4=(-5)(-5)(-5)(-5)=625\to\boxed{B)}$

Yanka [14]4 years ago

3 0

Answer:

B) 625

Step-by-step explanation:

(-5)^4

-5*-5*-5*-5

25*25

625

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What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

nordsb [41]

Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
$- \frac{C}{B}$ - phase shift

$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}$

Amplitude: 5
Period: $\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi$
Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$