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erastovalidia [21]
2 years ago
7

Write (9m) ^4 without exponents.

Mathematics
1 answer:
Rainbow [258]2 years ago
8 0

A value raised by an exponent is the same as that value being multiplied by itself the number of times the exponent is.

(9m)^4 means 9m is multiplied by itself 4 times:

It can be written as: (9m)(9m)(9m)(9m)

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Carla packed this box with 1 centimeter cubes what is the volume of the box
shusha [124]

Answer: 60\ cm^3

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

V=lwh

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

 l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

V=(4\ cm)(3\ cm)(5\ cm)

Finally, evaluating, you get that the volume of the box is:

V=60\ cm^3

4 0
2 years ago
The diagram represents a difference of squares. A 2-column table with 2 rows. The labels for the columns and rows are blank. Fir
olga55 [171]

I think its fisrts one

8 0
2 years ago
Read 2 more answers
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
mezya [45]
From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
<span>Choose another point on the line, such as (1, 3)
step 3:
</span><span>Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is. 
(5-3)/(2-1)=2/2=1
step 4:
</span><span> Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
</span><span>Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form</span>
4 0
2 years ago
Read 2 more answers
Beatrice graphed the relationship between the
sdas [7]

Answer:

Option C. The time in seconds that passed before the printer started printing pages

see the explanation

Step-by-step explanation:

Let

y ---->the number of pages printed.

x --->  the  time (in seconds) since she sent a print job to  the printer

we know that

The x-intercept is the value of x when the value of y is equal to zero

In the context of the problem

The x-intercept is the time in seconds that passed before the printer started printing pages (the number of pages printed is equal to zero)

5 0
2 years ago
Read 2 more answers
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
2 years ago
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