Answer:
The function is ![f(x) = 4(\sqrt[3]{16} )^{2x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2x%7D)
.
Step-by-step explanation:
We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).
Now, the exponential function in the option III will be the answer.
The function is .
So, the base is ![(\sqrt[3]{16} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2%7D)
= ![\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%5E%7B2%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B256%7D%20%3D%204%5Csqrt%5B3%5D%7B4%7D)
. (Answer)
The general formula of an exponential function is 
, where b is called the base of the function.
Answer:
Plane A and QRV intersection line is QR.
Explanation:
The plane QRV contains the rectangle QRVN. This rectangle intersects the plane A in the line QR.
Plane A and QRV intersection line is QR.
If one knows a specific line in one plane (for example, two points in the plane), and this line intersects the other plane, then its point of intersection.
Thus, it is on the line of intersection for the two planes.
First, Michelle exercises for thirty minutes every day.
If Michelle exercises for 30 minutes for 5 days, this would 30 × 5.
30 × 5 = 150 minutes
We know that
The volume of a circular truncated cone=(1/3)*pi*[r1²+r1*r2+r2²]*h
where
r1=7/2-----> 3.5 in
r2=10/2----> 5 in
h=12 in
volume of a circular truncated cone=(1/3)*pi*[3.5²+3.5*5+5²]*12
volume=688 in³
the answer is
688 in³
Answer:
42 feet.
Step-by-step explanation:
h=-10t² + 40t +2
The vertex of the quadratic function described by the equation is located at
t = -(40)/(2(-10)) = 2
Next is to find the value of height at t=2 will be
h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet
The maximum height is 42 feet.
