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2 years ago

What are the rate of change and the initial value of the function represented by the graph?

Mathematics

1 answer:

Norma-Jean [14]2 years ago

7 0

Answer:D

Step-by-step explanation:

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a(t) = (t - k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant. Given that a(2) = 0, what is the absol

koban [17]

If a(2) = 0, then k=2. The product of the zeros is
(2)*(3)*(6)*(-3) = -108

The absolute value of the product of zeros of a(t) is 108.

4 0

2 years ago

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A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres

Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

Volume of the 1st sphere:

The formula to determine the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Volume of the 1st sphere is given by

$V=\frac{4}{3}(3.14)(11)^3$

$V=\frac{4}{3}(3.14)(1331)$

$V=\frac{16717.36}{3}$

$V=5572.45$

The volume of the 1st sphere is 5572.45 cubic feet.

Volume of the 2nd sphere:

Volume of the 2nd sphere is given by

$V=\frac{4}{3}(3.14)(8)^3$

$V=\frac{4}{3}(3.14)(512)$

$V=\frac{6430.72}{3}$

$V=2143.57$

The volume of the 2nd sphere is 2143.57 cubic feet.

Difference between the volume of the two spheres:

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

= 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

7 0

2 years ago

Pleas help me solve #1 :( Your answer helps so much!!

miskamm [114]

ANSWER

$y = 7 \sqrt{2}$

$x = 7$

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

$\tan(45 \degree) = \frac{opposite}{adjacent}$

$\tan(45 \degree) = \frac{7}{x}$

$1 = \frac{7}{x}$

$x = 7$

To find y, we use the sine ratio, which means

$\sin(45 \degree) = \frac{opposite}{hypotenuse}$

$\sin(45 \degree) = \frac{7}{y}$

$y= \frac{7}{\sin(45 \degree) }$

$y= \frac{7}{ \frac{1}{ \sqrt{2} } }$

$y = 7 \times \frac{ \sqrt{2} }{1}$

$y = 7 \sqrt{2}$

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2 years ago

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Solve the following equation 18x-3=4x+11

I am Lyosha [343]

18x-3=4x+11
-5 -4
14x-3=11
+3+3
14x=14
x=1 answer =1

7 0

1 year ago

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A or D i'm having a little trouble with this

sergeinik [125]

I believe it’s D bc I went over A and it doesn’t add up

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2 years ago