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3 years ago

Given the function g(x) = b(−5x + 1)6 − a , where a ≠ 0 and b ≠ 0 are constants.

1 answer:

4 0

A.
g'(x) = 6b(-5x + 1)^5 (-5)
g'(x) = -30b(-5x +1)^5

g''(x) = -30b(5)(-5x + 1)^4 (-5)
g''(x) = 750b (-5x +1)^4

b.
g(x) = b(−5x + 1)6 − a
when
g(-x) = b(5x +1)6 - a

c.
g'(x) = -30b(-5x +1)^5 = 0
-5x +1 = 0
x = 15

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The stadium is like a hemisphere with a radius of 150 feet last month the owners of the stadium paid 0. 05 per cubic foot to cov

GREYUIT [131]

The total cost for utilities last month is 353,571.43.

<h3>What is the total cost for utilities last month?</h3>

The total cost for utilities last month can be determined by multiplying the volume of the stadium by the cost per cubic foot.

The volume of the stadium can be determined by using the formula for the volume of a hemisphere.

Volume of a hemisphere = Volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

2/3 x 22/7 x 150³ = 7071,428.57

The total cost for utilities last month = 7071,428.57 x 0.05 = 353,571.43

To learn more about volume, please check: brainly.com/question/13705125

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2 years ago

What is the area of the soccer field if x=40m? base is 2x+20 height is x+20

vivado [14]

2(40)+20 = 100m
40+20= 60m
100x60= 6000m

7 0

2 years ago

DESPERATE FOR EXPLANATION PLEASE HELP

Hitman42 [59]

This one is the Law of Sines again.

The Law of Sines relies on the standard labeling of triangle ABC with vertices A, B, and C and respective opposite sides of a, b and c. Then

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

Here we have A=150 degrees (opposite side a), b= 10 cm and B = 12 degrees. We seek a.

So we need the first equation of the Law of Sines:

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B}$

$a = \dfrac{b \sin A }{\sin B}$

$a = \dfrac{10 \sin 150}{\sin 12} \approx 28.0$

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3 years ago

How many vertices (corners) does a cube have?

vladimir2022 [97]

Answer:

The answer is below

Step-by-step explanation:

a) A cube is a three dimensional solid with 6 square faces.

A cube has 8 vertices

b) A rectangular prism is a three dimensional solid with two parallel rectangular bases.

A rectangular prism has 6 faces.

c) A rectangular prism is a three dimensional solid with two parallel rectangular bases.

A rectangular prism has 12 edges.

d) A square-based pyramid is a pyramid with a square base.

A square-based pyramid has 8 edges

e) A triangular prism is a three dimensional solid with two parallel triangular bases.

A triangular prism has 5 faces.

f) A triangular prism is a three dimensional solid with two parallel triangular bases.

A triangular prism has 6 vertices.

4 0

3 years ago

Simplify: (2x – 3)2 4x2 + 9 4x2 – 12x + 9 4x2 – 12x + 6 4x2 – 6

Alexxandr [17]

Answer:

$4x^2-12x+9$

Step-by-step explanation:

we have

$(2x-3)^2$

we know that

$(a-b)^2=a^2-2ab+b^2$

In this problem

$a=2x\\b=3$

substitute in the formula

$(2x-3)^2=(2x)^2-2(2x)(3)+(3)^2$

$(2x-3)^2=4x^2-12x+9$

7 0

3 years ago

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