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3 years ago

Write an expression, using an exponent, that is equivalent to 9 x 9 x 9 x 9 x 9 x 9 x 9.

Mathematics

2 answers:

Pavel [41]3 years ago

7 0

Answer:

$9^{2}$

Step-by-step explanation:

mote1985 [20]3 years ago

6 0

Answer:

$9^{7}$

Step-by-step explanation:

There are 7 9s being multiplied together. This can be written as 9 to the 7th power or $9^{7}$

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How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide

kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

The margin of error of a (1 - α)% confidence interval for population mean (μ) is:

$MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

The information provided is:

σ = $60

MOE = $2

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the sample size as follows:

$MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}$

$=[\frac{1.96\times 60}{2}]^{2}$

$=3457.44\\\approx 3458$

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0

2 years ago

R^3 +4r^2-25r-100 Help

Marina86 [1]

Answer:

The zeroes in this equation are -5, -4, and 5

Step-by-step explanation:

In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.

r^3 + 4r^2

r^2(r + 4)

Now the second half.

-25r - 100

-25(r + 4)

Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.

(r^2 - 25)(r + 4)

And we can further factor the first parenthesis using the difference of two squares

(r^2 - 25)(r + 4)

(r + 5)(r - 5)(r + 4)

Now that we are fully factored, set each parenthesis equal to 0 and solve for x.

r + 5 = 0

r = -5

r - 5 = 0

r = 5

r + 4 = 0

r = -4

7 0

2 years ago

Use a inequality symbol to compare -3x+7 -10-2

abruzzese [7]

Hey there,

Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).

So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)

Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7).

-3
+ 7
______
4

Let's bring that "x" back, and the answer would be 4x for a while.

So far, 4x is the answer.
_____________________________________________________________

Now, Let's work on the other side.

We are talking about (-10-2)

-10
- 2
_______
 -12

So, by solving the answer to (-10-2), we got -12.

So, let's determine what is greater . . . . .

$What \ is \ greater?$

-12 or 4.

-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.

Your correct answer would look like . . .

(-3x+7) > (-10-2)

I really hope this helps you alot.

~Jurgen

8 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST!!!!!!

Dahasolnce [82]

<h2>Greetings!</h2>

Answer:

x = 67.5

Step-by-step explanation:

Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.

This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.

71.5 - 22 = MA = 49.5

71.5 ÷ 49.5 = $\frac{13}{9}$

So to get to line MP length, line MB had to be multiplied by $\frac{13}{9}$ to get 97.5

The reverse of this is dividing 97.5 by $\frac{13}{9}$ :

97.5 ÷ $\frac{9}{13}$ = 67.5

So x = 67.5

<h2>Hope this helps!</h2>

4 0

3 years ago

The sum of two numbers is 53 and the difference is 27. What are the numbers?

ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

x + y = 53

Equation 2, difference of the numbers:

x - y = 25

System of equations:

x + y = 53

x - y = 25

----------------

2x = 78

x = 39

Solve for y:

39 + y = 53

y = 14

The numbers are 39 and 14.

8 0

2 years ago