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11Alexandr11 [23.1K]
3 years ago
6

What is the domain of the function y = 2 StartRoot x minus 6 EndRoot?

Mathematics
2 answers:
PolarNik [594]3 years ago
4 0

Answer:

6 less-than-or-equal-to x less-than infinity

Step-by-step exhplanation:

y = 2(x - 6)^½

x - 6 》0

Because square root of negative values is not real

x - 6》0

x》6

This is the same as:

6《x < infinity

mariarad [96]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Suppose Riley is interested in the cost of a gallon of gas in her state. She finds the cost of a gallon of regular gas at 61 ran
hichkok12 [17]

Answer:

The standard deviation of the sample is 0.0064.

Step-by-step explanation:

The standard deviation of a sample of length n of a population with standard deviation \sigma is given by the following formula:

s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

61 randomly selected gas stations. This means that n = 61

The standard error of the mean is $0.05. This means that \sigma = 0.05.

What is the standard deviation of the sample?

s = \frac{\sigma}{\sqrt{n}} = \frac{0.05}{\sqrt{61}} = 0.0064

The standard deviation of the sample is 0.0064.

5 0
3 years ago
Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 1| + 1?
Marta_Voda [28]
You would shift one unit left and one unit up using the formula y=mx+b the b is the y coordinate and the number added or subtracted from the x is the coordinate
5 0
4 years ago
Read 2 more answers
Surface area of a triangular prism
NISA [10]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent
nalin [4]

Answer:

The last one (x=11.3, y=8).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use sin()=\frac{opposite}{hypotenuse}.

sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31

Find y.

Notice that, we can use the Pythagorean Theorem (c^2=a^2+b^2) to find y.

c^2=a^2+b^2

11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99

3) Round them off to the nearest tenth.

x=11.31\\x=11.3

y=7.99\\y=8

Therefore, the correct choice is the last one (x=11.3, y=8).

4 0
2 years ago
Solve for x. Round to the nearest tenth, if necessary.
steposvetlana [31]

Answer:

68

Step-by-step explanation:

Since there is a right angle that means that those two sides are equal. A triangle always adds up to 180 degrees. 56+56=112     180-112=68

5 0
3 years ago
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