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sveta [45]
3 years ago
9

What is the prime factorasation tree of 36

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0
36 = 3squared x 2squared
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You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you lear
hram777 [196]

Step-by-step explanation:

<h2>3(100)2 + 17(100) - 20</h2>

3(10000) + 1700 - 20

30000 + 1700 - 20

31680

6 0
3 years ago
Ivy checks to see how many people are waiting in line. She notes that there are 120 possible line arrangements for the people th
Marina86 [1]

The total number of persons standing in the line waiting for ordering pizza are 5.

Explanation:

There are 5 people in total so the first place can be occupied by any of the 5 persons.

Secondly the second place in the line can be occupied by any of the 4 persons left.  

Then the third place will be occupied by any remaining 3 persons as the front two places are already occupied.

Similarly the fourth place will be taken by any of the remaining two people. And lastly the last place will b filled by the last remaining person.

So the total number of ways will be 5*4*3*2*1 = 120 ways that is given in the question.

5 0
4 years ago
Determine which point is the solution to the given system. y= -7/2 x + 32 y= 4/5 x -11
taurus [48]

Answer:

(10, -3)

Step-by-step explanation:

-\frac{7}{2}x+32=\frac{4}{5}x-11 \\ \\ -35x+320=8x-110 \\ \\ -43x=-430 \\ \\ x=10 \\ \\ \therefore y=-\frac{7}{2}(10)+32=-3

7 0
1 year ago
Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase.
Dominik [7]

Answer:

The area of the deck after she doubles the length and width will be of 384 square feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

A = lw

Doubling length and width:

If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:

A_d = 2l*2w = 4lw

That is, if both dimensions are doubled, the area is multiplied by 4.

What will the area of the deck be after she doubles the length and width?

Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.

96*4 = 384

The area of the deck after she doubles the length and width will be of 384 square feet.

4 0
3 years ago
Find the equation f(x) = a(x - h)2 + k for a parabola containing point (3, 6) and having (1, -2) as a vertex. What is the standa
pashok25 [27]

the 1 is the h and the -2 is the k

f(x) = a(x - h)^2 + k

f(x) = a(x-1)^2 -2

to find a  substitute x=3, y=6 in

6= a(3-1)^2 -2

6 =a *2^2 -2

add 2 to each side

8 = 4a

a =2

f(x) = 2(x-1)^2 -2  this is the vertex form

distribute to get the standard from

f(x) = 2(x^2-2x+1) -2

    2x^2 -4x+2-2

 f(x) =2x^2-4x   is the standard form

Choice A




8 0
3 years ago
Read 2 more answers
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