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3 years ago

Can Some one please help me on these math questionsI'll give 20 points please

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

Answer:

☐ -2 < 2x + 4

☐ -3x - 2 > 5

Step-by-step explanation:

-3x - 2 > 5

+ 2 + 2

___________

-3x > 7

___ ___

-3 -3

x < -2⅓ [Anytime you divide or multiply by a negative, reverse the inequality symbol.]

-2 < 2x + 4

-4 - 4

___________

-6 < 2x

__ ___

2 2

-3 < x

If you plug in -3 for x < -2⅓, you will see that it is a genuine statement because the more higher a negative gets, the lesser the integer will be, so in this case, -3 IS less than -2⅓.

I am joyous to assist you anytime.

** If it is not multi-select, then choose -2 < 2x + 4.

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tester [92]

The length of pendulum is 2.485 feet

<h3>Solution:</h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

Therefore, the given formula is:

$T=2\pi \sqrt{\frac{L}{32} }$

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So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$