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MatroZZZ [7]
3 years ago
12

Which two expressions are equivalent for any value of y?

Mathematics
1 answer:
Harman [31]3 years ago
3 0
The correct answer is letter d.

The reason is because of what each of these statements represent in math.

A number directly outside of a. parentheses means that we have that many groups of everything inside of the parentheses.

9(y + 3) means we have 9 groups of y and 9 groups of 3. This is the same as saying 9y + 27 or 27 + 9y.
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The number 1953125 is equal to 5^9. explain how the information above informs you that 1953125 is not a square number
ValentinkaMS [17]

If 1953125 is a square number, then 1953125=n^2,~n\in\mathbb{N}

By what's given, 1953125=5^9\Rightarrow n^2=5^9\Rightarrow n=5^{4.5}=625\sqrt{5}

But n=625\sqrt{5} \notin\mathbb{N}, therefore, our assumption that 1953125 is a square number is wrong.

4 0
3 years ago
Complete the equation of the line whose slope is - 2 and y-intercept is (0,3).
Kisachek [45]

Answer:

y = -2x+3

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

We have a slope of -2 and a y intercept of 3

y = -2x+3

6 0
3 years ago
Read 2 more answers
Write an expression that equals 40. Include an exponent.
devlian [24]
Let's start making our expression.
Just take the number 40 and change it around.
40=49-9
That's a good start.
49 is equal to 7×7, or 7². 9 is equal to 3×3, or 3².
So we can also write this as
7^2-3^2
You can really do whatever you want with it as long as it's still 40, just make sure you've got an exponent there. Here's another example.
(10-3)^2-\sqrt{81}
5 0
4 years ago
Private colleges and university rely on money contributed
Otrada [13]

Answer:

The point estimate for the mean endowment of all private colleges in the United States is 180.2125 million dollars.

Step-by-step explanation:

We are given endowments (in millions of dollars) of eight private colleges in the United States:

78.8, 50.3, 243.2,  489, 111.5, 163.7, 92.4, 212.8

We have to find the point estimate of the population mean endowment of all private colleges in the  United States.

The point estimate will be given by the sample mean.

\mu = \bar{x}

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1441.7}{8} = 180.2125

Thus, the point estimate is 180.2125 million dollars.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%284%20%2B%208%29%20%7B2%7D" id="TexFormula1" title="3(4 + 8) {2}" alt="3(4 + 8) {2}" align="
sergeinik [125]

Answer:

The answer is 72

Step-by-step explanation:

3x(4 + 8)x2

=3 x 12 x 2

=36 x 2

=72

4 0
3 years ago
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