1 lap in 2.5 minutes
so 4 in 10 minutes and 12 in 30.
Also 0.4 laps in 1 minute
The solution to 5b-13=22 is 7
Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
Answer:
Step-by-step explanation:
Given.
Two points are given.
and 
An exponential function is in the general form.
-------(1)
We know the points 
and 
put the first point value in equation 1
--------(2)
put the second point value in equation 1
----------(3)
Put the a value from equation 2 to equation 3
![b^{4} = 16\\b=\sqrt[4]{16} \\b=2](https://tex.z-dn.net/?f=b%5E%7B4%7D%20%3D%2016%5C%5Cb%3D%5Csqrt%5B4%5D%7B16%7D%20%5C%5Cb%3D2)
Put the b value in equation 2
Put the a and b value in equation 1
So, the exponential function that passes through the points and 
are .
Answer:
Option B). 10 cm
Step-by-step explanation:
Distance between center and the focus of an ellipse is given by the formula,
c² = a² - b²
where, a = length of the major axis
b = length of the minor axis
and c = distance between focus and center
If c = 6 cm, b = 8 cm,
6² = a² - 8²
a² = 6² + 8²
a² = 36 + 64
a² = 100
a = 10 cm
Therefore, length of the major axis is 10 cm.
Option (B) is the answer.
