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Lapatulllka [165]
3 years ago
8

Solve the equation by factoringx^-2x=15​

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Step-by-step explanation:

Add one to both sides of the equation:

x^2 - 2x + 1 = 15 + 1

\Rightarrow (x - 1)^2 = 16

Taking the square root of the equation above, we get

x - 1 = \pm 4

or

x = 1 \pm 4 = 5, -3

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Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.
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Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

A_T=2A_1+2A_2=2×96 in²+2×216 in²=624 in²

8 0
3 years ago
The Supreme Court of the United States is mainly an appellate court, meaning A) it cannot hear a case the first time. B) it is t
dimaraw [331]
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Which of the following rational functions is graphed below?
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A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically sign
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The required type of p-value would she want to obtain is small p-value.

<h3>What is hypothesis test?</h3>

Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.

<h3>According to question:</h3>

P-value  shows that the outcomes are genuinely huge.

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A little P-value  commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.

Thus, required answer is small p-value.

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