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3 years ago

12

Graph the line with the equation y= - 1/4x -7?

1 answer:

Reil [10]3 years ago

4 0

Answer:

just go down negative 7 on the y int and that's ur starting point, then go down -1 and over 4 to the right, repeat this step 2 or 3 times then draw ur line.

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klasskru [66]

Answer:

16 times

Step-by-step explanation:

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

$\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h$

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so <u>16 times greater </u>than the smaller cone.

<h3><u>Proof</u></h3>

Given:

radius = 6
height = 9

Substituting the given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units$

If the radius is quadrupled:

radius = 6 × 4 = 24
height = 9

Substituting the new given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units$

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

$\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16$

So the volume of the larger cone is <u>16 times greater</u> than the volume of the smaller cone.

4 0

2 years ago

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It seems reasonable that there would be a relationship between the amount of time a student spends studying and their GPA. Suppo

Nina [5.8K]

Answer:

heres the link of the answer

boldniwally.com

5 0

3 years ago

What is the weight of the bird in grams on the scale below? I think the answer is 100 grams

Alja [10]

You’re right, the answer is 100 grams.

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3 years ago

Five times a number is 30. Find that number.

kramer

Answer:

The number is 6

Step-by-step explanation:

Let x be the number

five times means multiply

5x

is 30 means equals 30

5x= 30

Divide each side by 5

5x/5 = 30/3

x = 6

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3 years ago

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Select the correct answer from each drop down menu a line passes through point

grandymaker [24]

Answer:

Post questions with content only :)

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4 years ago

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