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3 years ago

6

Maurice's family put a pool into their backyard. It is rectangular in shape and its dimension are 20 feet by 10 feet by 10 feet.

It cost $0.05 per cubic ft to fill the pool. How much will it cost Maurice's family to fill their new pool
A. $100

B.$200

C. $150

D. $50

1 answer:

s344n2d4d5 [400]3 years ago

6 0

Answer:

C. $150

Step-by-step explanation:

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Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

<u>Step-by-step explanation:</u>

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

<u>Step-by-step explanation:</u>

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

<u>Step-by-step explanation:</u>

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

<u>Step-by-step explanation:</u>

<u> $9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$ </u>

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3 years ago

Lucia is making invisibility potions. Each potion requires 2 eyes of newt. How many invisibility potions can Lucia make with 16

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Lucia can make 8 invisibility potions total!
she has 16 newt eyes overall and only two are required for one option
sooo
she can make 8 potions.

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4 0

3 years ago

The circumference of a fountain is 63 feet. What is the approximate diameter?

Alik [6]

Answer:

Approximantly 20

Step-by-step explanation:

Circumference = pi times diameter

63/pi = diameter

Answer: 20.0535228

3 0

3 years ago

True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why

Zepler [3.9K]

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

<h3>What is a quadratic equation?</h3>

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

Zero or Root means that when you evaluate the function in that value the outcome is zero.
X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

brainly.com/question/1214333

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2 years ago

Help fast please geometry

frozen [14]

Answer:

3√6

Explanation:

explanation is in the image above

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2 years ago

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