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2 years ago

The track at the middle school is 200 meters. Rachel runs 1 ½ laps in 90 seconds. Find Rachel’s speed in meters/second

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

7 0

Answer:

3.33 meters per second

Step-by-step explanation:

1 1/2 laps = 200+100 = 300

use formula: distance = rate x time

t = time (in meter per second)

300 = 90t

t = 300/90 which reduces to 3.33/1

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The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a

Paha777 [63]

Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.

By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.

ANSWER: One whole cycle of the weight took 6 seconds.

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2 years ago

Pls help with this function<br> Emergency

Alborosie

Answer:

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2 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

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3 years ago

What is the correct factorization of x² - 11x + 18?

boyakko [2]

C because I did the math on an app so it’s right

8 0

2 years ago

A botanist was measuring how tall her plant grew. After two weeks it had grown 12.93 inches.The second week alone it had grown 3

Korolek [52]

Answer:

9.5 inches

Step-by-step explanation:

The relationship is presumed to be ...

(first week's growth) + (second week's growth) = (growth in two weeks)

(first week's growth) + 3.43 inches = 12.93 inches . . . . . fill in the numbers

Subtract 3.43 from both sides of the equation:

first week's growth = 12.93 inches - 3.43 inches

first week's growth = 9.50 inches

The plant grew 9.50 inches in the first week.

6 0

2 years ago