To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
8 feet, because 10^{2} - 6^{2} = 64;
\sqrt{64} = 8[tex]
Answer: 
Step-by-step explanation:
Given
The temperature of the liquid is 
placed in an oven with temperature of 
.
Initially difference in temperature of the two
According to the question
![\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7BdT%28t%29%7D%7Bdt%7D%3D77%5Ccdot%20%5CDelta%20T%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7BdT%28t%29%7D%7Bdt%7D%3D77%5Ctimes%20%28450-T%29%5Cquad%20%5B%5Ctext%7BT%3D75%7D%5E%7B%5Ccirc%7DF%5C%20%5Ctext%7Bat%20t%3D0%7D%5D)
F(x) = -x²-17 is not a translation.
A translation of this graph would either have something added to/subtracted from the end of the function (the c value) or something added or subtracted to x before it is squared. f(x) = -x²-17 is a reflection, as the coefficient of x² is negative.
Every other choice has something either added to or subtracted from either x before it is squared or from the end.
