Answer:
V(s) = 332,9 m³
Step-by-step explanation:
The volume of a sphere is:
V(s) = (4/3)*π*r³
if we know r = 4,3 m then
V(s) = (4/3)*3,14*(4,3)³
V(s) = 332,8693 m³
Rounding the answer to the nearest tenth
V(s) = 332,9 m³
Answer:
-8
Step-by-step explanation:
First we need to find the slope of CD.
We know C is (-10, -2)
and we know D is (10,6)
If we use the slope formula, we can see the slope is 
We can see point F is at (6,-4)
We can find the equation of this line by using point slope form, and plugging in F as our point.
To find where E, we need to find the y value when x = -4
Answer:
C. ±square root of 30
Step-by-step explanation:
Apply the square root function to both sides of the equation:
_____
The absolute value equation has two solutions. They match choice C.
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
