Answer:
the graph would start at (0,2) [2 points up from the origin] and then go over 3 up 2, and repeat that over 3 up 2 until you've completed your line to the extent needed
Answer:
d
Step-by-step explanation:
Solution by substitution method
y=7x+8
∴y-7x=8
and y=x+20
∴y-x=20
Suppose,
-7x+y=8→(1)
and -x+y=20→(2)
Taking equation (1), we have
-7x+y=8
⇒y=7x+8→(3)
Putting y=7x+8 in equation (2), we get
-x + 7x + 8 = 20
6x = 20-8
6x = 12
x= 12 / 6
x = 2
substitute for x in equation (3)
y = 7(x) + 8
y = 7(2) + 8
y = 22
Answer:
12 and 36
Step-by-step explanation:
x+3x=48
4x=48
divide by 4
x=12
48-12=36
Answer:
Step-by-step explanation:
circumference=2πr=6.28
r=6.28/2π=3.14/π=3.14/3.14=1
area=πr^2=π×1²=π=3.14 units²
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
![Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons](https://tex.z-dn.net/?f=Amount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7BW%28t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7B%281%2B3t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Bt%2B1.5t%5E2%5D_0%5E5%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D42.5%5C%20gallons)
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Find out more on integration at: brainly.com/question/23976638
