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3 years ago

Solve for w - 2w - 7 = 9

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

Answer:

-2w−7=9

1 Add 7 to both sides.

-2w=9+7

2 Simplify 9+7 to 16

-2w=16

3 Divide both sides by -2

w= -16/2

w= - 8

liberstina [14]3 years ago

3 0

Step-by-step explanation:

-2w=9+7

-2w=16

w=16/-2

w=-8

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vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

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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

If the population of a city is 8,839,469 then declines by 4% every year, what is the population in 3 years?

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