2 years ago

An inequality is shown.

Mathematics

1 answer:

andriy [413]2 years ago

4 0

Answer:

D. X< 4

Step-by-step explanation:

12(x-2) < 24

divide both sides by 12

so we get

(x-2) < 2

now add 2 to both sides

x < 4

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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

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1 year ago

A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales

Dima020 [189]

Answer:

40,550

Step-by-step explanation:

40, 550 is the mod point

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2 years ago

Identify the figure that illustrates "A reflection in line k."

dlinn [17]

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

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2 years ago

Read 2 more answers

Please help

mafiozo [28]

Answer:

Easy it's a right hand child

Step-by-step explanation:

Because if both husband and wife both have right hands. And it's 10% chance the child will be left handed. Then it's possible that the child is going to be a right hand.

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3 years ago

Reuben has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last?

egoroff_w [7]

Answer:

Step-by-step explanation:

3*50=150. 150/5=30 pounds

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2 years ago