Number 1 & 2 both goes in 200. Numbers 9,3, & 27 goes into 81. Numbers 10,5,4,8,20, & 25 goes into 200. Hope this helps
A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.
Answer:
While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.
Answer:
Step-by-step explanation:
<u>Step 1: Solve for y in the first equation</u>
<u>Step 2: Determine the important aspects</u>
We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation
Point Slope Form → 
<u>Step 3: Plug in the information and solve</u>
Answer:
Answer:
504 ft^3
Step-by-step explanation:
Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.
Let's start with the cylinder:
V(cylinder) = pi*r^2*h
pi = 3
d = 4ft
r = d/2 = 4/2 = 2ft
h = 12ft
V(cylinder) = (3)*(2^2)*(12)
V(cylinder) = 3*4*12
V(cylinder) = 144 ft^3
Now the rectangular prism:
V(rectangular prism) = l*w*h
l = 10ft
w = 6ft
h = 6ft
V(rectangular prism) = 10*6*6
V(rectangular prism) = 360 ft^3
Now we can add them together:
V(total) = 360 + 144
V(total) = 504 ft^3
