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3 years ago

14

In Kaylee's history class, 1/2 of the students are making videos for their final project and 1/12 are making dioramas. What frac

tion of the students are making either a video or a diorama?
Write your answer as a fraction or as a whole or mixed number.

1 answer:

USPshnik [31]3 years ago

7 0

Answer:

7/12

Step-by-step explanation:

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Rearrange the formula C = 2πr for r.

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What is the slope of the line through (-7,-2) and (−6,7)?

Murrr4er [49]

Answer:

slope = 9

Step-by-step explanation:

To find the slope of a line that passes through a pair of points, use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of (-7,-2) and (-6,7) into the formula and simplify:

$m = \frac{(7)-(-2)}{(-6)-(-7)} \\m = \frac{7+2}{-6+7} \\m = \frac{9}{1} \\m = 9$

So, the slope is 9.

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Use the chain rule to find the indicated partial derivatives. n = p + q p + r , p = u + vw, q = v + uw, r = w + uv; ∂n ∂u , ∂n ∂

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3 years ago

Mrs. Anderson's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the

Helen [10]

Answer:

13 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

$Volume = Width * Length * Height$

From the attachment

The first section is:

$Width = 5ft\\ Length = 4ft\\ Height = 8ft$

$V_1 = 5ft * 4ft * 8ft$

$V_1 = 160ft^3$

The second section:

$Width = 3ft\\ Length = 2ft\\ Height = 8ft$

The width is the last label at the top

The length is the difference between the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

The volume is:

$V_2 = 3ft * 2ft * 8ft$

$V_2 = 48ft^3$

Total volume (V) is:

$V = V_1 + V_2$

$V = 160ft^3 + 48ft^3$

$V = 208ft^3$

The number of box (n) needed is then calculated by dividing the calculated volume of the closet by the volume of each box

$n = \frac{208ft^3}{16ft^3}$

$n = 13$

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3 years ago