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2 years ago

Which of the following has the least value? Group of answer choices 13/15 0.7 2/3 0.68

Mathematics

1 answer:

djverab [1.8K]2 years ago

7 0

Answer:

2/3

Step-by-step explanation:

beacsue it is .66 repeated

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Which of the following inequalities matches the graph?

Svet_ta [14]

It's Answer A/The top answer. Vertical lines are x-values and horizontal lines are y-values, and since everything is shaded to the left of the purple line, it'd be x is less than or equal to 5

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3 years ago

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

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3 years ago

Simplify-2(y+4) + 3y

Pie

Answer: y-8

Step-by-step explanation:

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2 years ago

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The water at the end of a pier was 28 meters deep at midnight. As the tide came in, the water depth increased at a rate of 0.012

Nastasia [14]

Answer:

0.012t + 28 = 30

Step-by-step explanation:

The depth starts at 28 meters. The amount of increase in t minutes will be 0.012t, so the total depth after t minutes is ...

0.012t +28

We want to find when that is equal to 30, so the appropriate equation is ...

0.012t +28 = 30

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3 years ago

I neep helpppppppppp

skelet666 [1.2K]

Answer:

Step-by-step explanation:

$x = 5 - 2y \\ y = 3(5 - 2y) - 8 \\ y = 15 - 6y - 8 \\ y = 7 - 6y \\ 7y = 7 \\ y = 1$

$x = 5 - 2y \\ x = 5 - 2 = 3 \\$

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3 years ago

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