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3 years ago

Write an expression that shows how to multiply 4 times 362 using place value and expanded form

1 answer:

3 0

$362=300+60+2\\\\4\times362=4\times(300+60+2)\\\\ues\ distributive\ property:\\\\4\times300+4\times60+4\times2=1200+240+8=\boxed{1448}$

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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

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

$W =202.50Nm$

7 0

3 years ago

Is the ratio orange to blue 3 to 4 equivalent to 12 to 9

tamaranim1 [39]

No If it was 4 to 3 then yes but 4 can't be multiplied by anything to equal 9

3 0

3 years ago

What is the rotation that translates AWXY to AW'X'Y'? Be sure to give the degre

oee [108]

The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.

<h3>What is a rotation in math?</h3>

Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.

Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.

Learn more about translation at:
brainly.com/question/1574635
#SPJ1

4 0

2 years ago

Solve the equation 4/x=8

Veseljchak [2.6K]

Answer:

x = .5

Step-by-step explanation:

4 / x = 8

4 / .5 = 8

x = .5

7 0

2 years ago

Find the solution set for the equation.<br> |7x - 5] +5=14

mr Goodwill [35]

X = 2. Here’s a link; https://www.tiger-algebra.com/drill/(7x-5)_5=14/

3 0

3 years ago

Read 2 more answers