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2 years ago

The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?

Mathematics

1 answer:

liubo4ka [24]2 years ago

3 0

V= 5 x 4^2 + 5 x 4
V= 5 x 16 + 20
V= 80+ 20
V= 100
Answer is C 100 cubic units

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The answer to the question is 1565÷400=3.9125

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3 years ago

The lcm of 2 numbers is 60 and one of the numbers is 7 less than the other number

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The two numbers are 5 and 12.

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3 years ago

An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Natalka [10]

Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

$\theta = \dfrac{l}{r} ..... (1)$

where $\theta$ is the central angle in radians subtended by arc

$l$ is the length of arc

$r$ is the radius of arc

We are Given the following details:

$l = \dfrac{5\pi}{4}\ inch$

$\theta = 15^\circ$

We know that $\pi \ radians = 180 ^\circ$

Converting $\theta$ to radians:

$\theta =\dfrac{\pi}{180} \times 15$ radians

Putting the values of $\theta$ and $l$ to find the value of $r$

$\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches$

Hence, Radius of the circle is 15 inches.

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2 years ago

Speed Car Rentals charges an initial fee of $55 plus $0.5 per mile. A) Write An equation to represent this situation. B) Create

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3 years ago

Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 (x + Δx)2 − 3(x + Δx) + 2 − (x2 − 3x + 2) Δx

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Then in the limit,

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3 0

2 years ago