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2 years ago

5

Nidhi is allowed to watch 2.5 hours of TV on Saturday If her favorite Tv show lasts for 24 minutes each, how many full episodes

will she be able to watch

1 answer:

bekas [8.4K]2 years ago

4 0

Answer:

6 full episodes

Step-by-step explanation:

You will need to convert 2.5 hours to minutes and divide by 24. Round to the nearest whole number.

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Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?

harkovskaia [24]

105 m = 2.5 h

x miles = 1 hour

You cross multiply since it's a proportion:
2.5 * x
105 * 1

=

2.5x = 105

Then you divide everything by 2.5

The answer is 42

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3 years ago

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3 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

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3 years ago