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3 years ago

What is the y-intercept of the graph of the function f(x)=x^2+3x+5?

Mathematics

2 answers:

marta [7]3 years ago

8 0

Answer:

y int = (0,5)

Step-by-step explanation:

hope this helps

Dima020 [189]3 years ago

5 0

Y=(0,5)

So it is the last one choose that
And that is the correct answer

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Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the same reading rate as Sam?

zavuch27 [327]

Answer:

Choice 3

Step-by-step explanation:

The reading rate of Sam is 0.75 pages/minute.

i.e 30 pages/40 minutes

The reading rate of Bill is 0.5 pages/minute

The reading rate of Francine is 0.72 pages/minute

The reading rate of Leroy is 0.75 pages/minute which is the same as Sam's.

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3 years ago

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

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djverab [1.8K]

Answer:

Double a number increased by half the same number

Step-by-step explanation:

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Answer:

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