Answer:
Step-by-step explanation:
Many calculators use "E" to signify "×10^( )". Thus ...
... 1.3E-2 = 1.3×10^(-2)
This number in scientific notation is equivalent to the standard form number ...
... 1.3×0.01 = 0.013
Answer: A. 
B. A'(5) = 1.76 cm/s
Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.
A. Area of a circle is given by

So to find the rate of the area:


Using 

Then
![\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2.%5Cpi.r.%5B%5Cfrac%7B726%7D%7B%28t%2B11%29%5E%7B3%7D%7D%5D)
![\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2.%5Cpi.%5B3-%5Cfrac%7B363%7D%7B%28t%2B11%29%5E%7B2%7D%7D%5D.%5Cfrac%7B726%7D%7B%28t%2B11%29%5E%7B3%7D%7D)
Multipying and simplifying:

The rate at which the area is increasing is given by expression
.
B. At t = 5, rate is:




At 5 seconds, the area is expanded at a rate of 1.76 cm/s.
You can pack up to 10 1/5 pounds more stuff without going over
Answer:
The answer is 
Step-by-step explanation:
The expression is
![\frac{7\pi }{12}^{c}\\= \frac{7\pi }{12}*\frac{180}{\pi }^{0} \,;[1^{c}=\frac{180}{\pi}^{0}]\\=7*15\\=105^{0}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Cpi%20%7D%7B12%7D%5E%7Bc%7D%5C%5C%3D%20%5Cfrac%7B7%5Cpi%20%7D%7B12%7D%2A%5Cfrac%7B180%7D%7B%5Cpi%20%7D%5E%7B0%7D%20%5C%2C%3B%5B1%5E%7Bc%7D%3D%5Cfrac%7B180%7D%7B%5Cpi%7D%5E%7B0%7D%5D%5C%5C%3D7%2A15%5C%5C%3D105%5E%7B0%7D)
Hope you have understood this....
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