We are given expression:
.
Square root in exponent form is power
.
Therefore,
.
Now, replacing square root of 16 by
in original expression we are given, we get
.
Therefore,
<h3>

= 16 in simplest form. By the Power of Power rule,

. So,

must equal

in radical form.</h3>
Answer: C
Explanation: They are the same exact shapes, the one on the right is slightly rotated and scaled smaller but other than that they are the most similar
Step-by-step explanation:
Diameter is 6 ft
3 ft + 3ft
Answer:
r = 3m
Step-by-step explanation:
Formula for the volume of a sphere: V = 


We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation
Divide both sides by 
= 

Divide both sides by 
= 
Take the cube root of both sides
= r
Substitute V = 36
into the equation
r = ![\sqrt[3]{\frac{3(36\pi) }{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2836%5Cpi%29%20%7D%7B4%5Cpi%20%7D%20%7D)
Expand the bracket
r = ![\sqrt[3]{\frac{108\pi }{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B108%5Cpi%20%7D%7B4%5Cpi%20%7D%20%7D)
Divide 108
by 4
(For this, the two
in the numerator and denominator cancel each other out, and you only need to divide 108/4)
r = ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
The cube root of 27 is 3, because
= 3 x 3 x 3 = 27
r = 3
Answer:
x<7 or x>1
Step-by-step explanation:
The given inequality is
|x-4|<37
By the definition of the absolute value function, we get
x-4<3 or -(x-4)<3
We divide both sides of the inequality on the right by -1 and reverse the sign.
x-4<3 or x-4>-3
We add 4 to both sides of the equation to get:
x-4+4<3+4 or x-4+4>-3+4
x<7 or x>1