Answer:
18.85 inches.
Step-by-step explanation:
We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.
We know that circumference of a circle is equal to
, where r represents radius of circle.




Therefore, the circumference of smaller circle is approximately 18.85 inches.
3x+15= 5x
8y-72= 9y
9a+18= 2a
3b-27= 9b
5c+40= 8c
6c+18= 3c
8c-8= c/1c
5x-10= 2x
2b-16= 8b
7c-35= 5c
Answer:
(2,-1)
Step-by-step explanation:
Multiply everything by 1/3:
6*1/3=2
-3*1/3=-1
This makes it smaller, so you know what the dilation is.
Answer:
Using either method, we obtain: 
Step-by-step explanation:
a) By evaluating the integral:
![\frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5Cint%5Climits%5Et_0%20%7B%5Csqrt%5B8%5D%7Bu%5E3%7D%20%7D%20%5C%2C%20du)
The integral itself can be evaluated by writing the root and exponent of the variable u as: ![\sqrt[8]{u^3} =u^{\frac{3}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bu%5E3%7D%20%3Du%5E%7B%5Cfrac%7B3%7D%7B8%7D)
Then, an antiderivative of this is: 
which evaluated between the limits of integration gives:

and now the derivative of this expression with respect to "t" is:

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then

is continuous on [a,b], differentiable on (a,b) and 
Since this this function
is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

Answer:
A
Step-by-step explanation: Your salary will be greater than or equal to $46,000.