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Over [174]
3 years ago
6

Can someone help me plz

Mathematics
1 answer:
galben [10]3 years ago
6 0

Step-by-step explanation:

the answer is in the image above

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What is the mode for 2103 and 623m
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there is no mode

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A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i
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Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or \frac{8}{12} ft

= \frac{2}{3} ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= \frac{11}{12} ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k(\frac{2}{3})

k = 18

Work done (W) to stretch the spring by \frac{11}{12} ft will be

W = \int\limits^\frac{11}{12} _0 {kx} \, dx

    = \int\limits^\frac{11}{12} _0 {(18x)} \, dx

    = 18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0

    = 9(\frac{11}{12})²

    = 7.56 lb-ft

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3 years ago
Runs 10 miles in 57 minutes. How many minutes does he take per miles?
evablogger [386]
5.1 i think. is it mutipul question
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I just had this problem on a test! I hope this helps, i will attach a picture of my messy work, but hopefully that will give you an idea on how do do it!

How to Solve!-

Repeat this distance formula for each side

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The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a
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You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes


V = \pi (x+8)^2(2x+3)


If you want, you can simplify it by expanding the square and then multiply the two parenthesis:


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3 years ago
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