Answer:
Work shown below!
Step-by-step explanation:
![m(2+n-m)+3(3n+m^{2}-1 )\\](https://tex.z-dn.net/?f=m%282%2Bn-m%29%2B3%283n%2Bm%5E%7B2%7D-1%20%29%5C%5C)
Distribute;
![2m+mn-m^{2}+9n+3m^{2}-3 \\2m^{2} + mn+2m+9n-3](https://tex.z-dn.net/?f=2m%2Bmn-m%5E%7B2%7D%2B9n%2B3m%5E%7B2%7D-3%20%20%5C%5C2m%5E%7B2%7D%20%2B%20mn%2B2m%2B9n-3)
If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is
.
We are required to find the time that the ball took to travel before returning the ground.
We know that speed is the distance a thing covers in a particular time period.
The height of the ball after t seconds is as follows:
h(t)=![-16t^{2} +48t](https://tex.z-dn.net/?f=-16t%5E%7B2%7D%20%2B48t)
It is at ground at the instants of t.
Hence,
=0
-16t(t-3)=0
We want value of t different of 0, hence :
t-3=0
t=3.
Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Learn more about speed at brainly.com/question/4931057
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Answer:
I want to say seven units
Step-by-step explanation:
I believe he went 4 units up and 3 units left if he went to just the car dealership , post office and Garbage dump .
Hope I could help -
Sleepy~
Answer: 7 gallons; 14 gallons
Step-by-step explanation:
Let the amount of water in the first container be x.
Since one container holds 2 times as much as the other, the second container will be: = x × 2 = 2x
The total amount of water is 21 gallons. This means:
x + 2x = 21
3x = 21
x = 7 gallons
First container = 7 gallons
Second container= 2x = 2×7 = 14 gallons
Answer:
Height of cylinder is
.
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:
![R = \dfrac{D}{2}](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7BD%7D%7B2%7D)
So, radius, R =
feet
Let height of cylinder be
feet.
Formula for volume of cylinder is given by:
![V = \pi R^{2} H](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20R%5E%7B2%7D%20H)
Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,
![V = \dfrac{36 \pi}{5} ft^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B36%20%5Cpi%7D%7B5%7D%20ft%5E%7B3%7D)
Using formula for volume, ![V = \pi R^{2} H](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20R%5E%7B2%7D%20H)
![\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft](https://tex.z-dn.net/?f=%5Cdfrac%7B36%5Cpi%7D%7B5%7D%20%3D%20%5Cpi%20%5Ctimes%203%5E%7B2%7D%20%5Ctimes%20h%5C%5C%5CRightarrow%20%5Cdfrac%7B36%5Cpi%7D%7B5%7D%20%3D%20%5Cpi%20%5Ctimes%209%20%5Ctimes%20h%5C%5C%5CRightarrow%20h%20%3D%20%5Cdfrac%7B4%7D%7B5%7D%20ft)
Hence, Height of cylinder is
.