Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V =
πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r =
= 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,
Given information-
The expression given in the problem is,

<h3>Equivalent expression-</h3>
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.
For given expression,

As the above function is the function of <em>x. </em>Thus it can be written as,

<h3>Logarithm power rule</h3>
Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

Now the value of
is equal to the zero. Thus,

Hence the expressions which are equivalent to the given expression are,
Learn more about the equivalent expression here;
brainly.com/question/10628562
No, a & b are not independent if they're mutually exclusive.
Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.