Answer:
Blank 1: 50
Blank 2: 95
Blank 3: is not
Blank 4: is not
Step-by-step explanation:
A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.
Answer:
C
Step-by-step explanation:
Remember that if s(t) is a position function then:
is the velocity function and
is the acceleration function.
So, to find the acceleration, we need to solve for the second derivative of our original function. Our original function is:

So, let's take the first derivative first with respect to t:
![\frac{d}{dt}[s(t)]=\frac{d}{dt}[t^2+4t+10]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%5Bs%28t%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%2B4t%2B10%5D)
Expand on the right:
![s'(t)=\frac{d}{dt}[t^2]+\frac{d}{dt}[4t]+\frac{d}{dt}[10]](https://tex.z-dn.net/?f=s%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B4t%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B10%5D)
Use the power rule. Remember that the derivative of a constant is 0. So, our derivative is:

This is also our velocity function.
To find acceleration, we want to second derivative. So, let's take the derivative of both sides again:
![\frac{d}{dt}[s'(t)]=\frac{d}{dt}[2t+4]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%5Bs%27%28t%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B2t%2B4%5D)
Again, expand the right:
![s''(t)=\frac{d}{dt}[2t]+\frac{d}{dt}[4]](https://tex.z-dn.net/?f=s%27%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B2t%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B4%5D)
Power rule. This yields:

So, our answer is C.
And we're done!
Answer:
43.98
Step-by-step explanation:
did some quick maths
c=2
