A water truck is filling a swimming pool. The equation that represents this

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:

a. false

b. true

c. true

d. true

e. false

Step-by-step explanation:

a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.

b. True. A graph of a proportional relationship is a straight line through the origin.

c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.

You might be interested in

Find the area of the circle x^2+y^2=16 by the method of intregration

zhuklara [117]

Answer:

Hello,

$16\pi$

Step-by-step explanation:

$I=\dfrac{Area}{4} =\int\limits^4_0 {\sqrt{16-x^2} } \, dx \\\\Let\ say\ x=4*sin(t),\ dx=4*cos(t) dt\\\\\displaystyle I=\int\limits^\frac{\pi }{2} _0 {4*\sqrt{1-sin^2(t)} }*4*cos(t) \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {cos^2(t)} \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {\frac{1-cos(2t)}{2}} \, dt \\\\=8*[t]^\frac{\pi }{2} _0-[\frac{sin(2t)}{2} ]^\frac{\pi }{2} _0\\\\=4\pi -0\\\\=4\pi\\\\\boxed{Area=4*I=16\pi}\\$