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AleksAgata [21]
3 years ago
14

Match the equation with the correct graph

Mathematics
1 answer:
pychu [463]3 years ago
3 0
I will give you your answer just give me the equation cause you didn’t write it
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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
A farm lets you pick 3 pints of raspberries for $12.00. Use decimal notation if necessary.
kap26 [50]

Answer:

a=$4.00, B=1/4 a pint per dollar, c= 5

Step-by-step explanation:

8 0
2 years ago
Can you please explain and answer this question to me, (don't mind the blue dots, they are the answers of what I think, please l
Fofino [41]
I started with c, but you could’ve started with any box.

So I took the numbers in the c box (the black box in my picture) and divided to see which were multiples of two. They all were.

Then I went to a. All of a’s numbers were divisible by 7.

Then b. Two of them are divisible by 2, so that’s not the answer. None of them were divisible by 7, so there’s your answer!

Then d. Two are divisible by 7, so your rules is divisible by 2.

I hope this helps!

6 0
3 years ago
Help asap
ehidna [41]
Angles A and B are exactly the same because
they are congruent angles

Hope This Helps!!!!!
4 0
3 years ago
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Which expression is equivalent to 2x^2 – 2x + 7?
serious [3.7K]
2x^2 - 2x + 7 = 2(x^2 -x +3) + 1 = 2(x-0.5)^2 + 17/6
4 0
3 years ago
Read 2 more answers
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