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son4ous [18]
3 years ago
10

What is the sum of the first 28 positive odd numbers

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
The sum of the first 28 positive odd numbers is 724. 
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Answer:

Step-by-step explanation:

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3 years ago
Determine the intercepts of the line.<br> x-intercept: (___,___)<br> y-intercept: (___,___)
valentina_108 [34]

Answer:

x-intercept: (-40,0)

y-intercept: (0,15)

Step-by-step explanation:

5 0
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

7 0
3 years ago
Ms. Hartline grades one math test every 1⁄4 hour. How many math tests does she grade in 2 hours? HELP QUICK!!
vazorg [7]

Answer:

8 maths tests

Step-by-step explanation:

Given data

We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test

our aim is to find how many maths test she grade in 3 hours (120min)

Hence

in  15 mins she does 1 grading

in 120 mins she does x

cross multiply

15x= 120

divide both sides by 15

x= 120/15

x= 8 maths test

Hence in 2 hours, she can grade 8 maths tests

4 0
2 years ago
Give 3 pairs of prime numbers that add up to 50
aleksley [76]

Answer:

3 and 47

7 and 43

19 and 31

Step-by-step explanation:

Prime numbers up to 50:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Therefore,

3 + 47 = 50

7 + 43 = 50

19 + 31 = 50

7 0
2 years ago
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