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3 years ago

If three-quarters of the pizza provided 12 pieces on the table, how many pieces were in the pizza when it was full?

1 answer:

8 0

Take 12 and divide it by 3 to get the number of slices per quarter. Then multiply the answer you got by four. The answer is 16.

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What are the solutions of the equation x² = 49

olga55 [171]

To find x you do √49=x

5 0

3 years ago

Write 0.3 as a fraction in simplest form.

s344n2d4d5 [400]

The question is asking to convert the said decimal value in a simplest fraction form, base on my research and further calculation, I would say that the answer would be 3/10. I hope you are satisfied with my answer and feel free to ask for more

6 0

3 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

4 0

3 years ago

Factor. 6y^4+14y^3-10y^2 *

AveGali [126]

Answer:

2 y^2 (3 y^2 + 7 y - 5)

Step-by-step explanation:

Factor the following:

6 y^4 + 14 y^3 - 10 y^2

Factor 2 y^2 out of 6 y^4 + 14 y^3 - 10 y^2:

Answer: 2 y^2 (3 y^2 + 7 y - 5)

5 0

3 years ago

Howard is standing 85 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the wat

patriot [66]

Howard is about 193.9 yards from the top of the reservoir.

This is a trigonometry problem. If you draw a picture of the situation, you will see that you have an adjacent side and need to know the hypotenuse.

That makes it a cosine problem:

cos(64) = 85/x
x = 85/cos(64)
x = 193.9

He is about 193.9 yards from the top of the reservoir.

6 0

3 years ago