Answer:
Just a tip that you can use apps on the computer called Math-way and Math papa for free (Sorry i wasn't able to answer but I tried my best) Hope This helps!
Step-by-step explanation:
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
<h3>How to use composition between two function</h3>
Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.
If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:
V(t) = (4/3) · π · [(1/4) · t²]³
V(t) = (4/3) · π · (1/64) · t⁶
V(t) = (1/48) · π · t⁶
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
To learn on composition between functions: brainly.com/question/12007574
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Answer:
(x +4)^2 + (y-2)^2 = 16
Step-by-step explanation:
We can write the equation for a circle with the formula
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
We know the center is at (-4,2) and the radius is 4
(x- -4)^2 + (y-2)^2 = 4^2
(x +4)^2 + (y-2)^2 = 16
Angle 2 and angle 4 are vertical angles which makes them congruent
Answer:
x=4. Verified, Not wrong.
Step-by-step explanation:
24=9x+4-4x
24 = 5x+4
20-4
5x=20
(divide)
x=4
