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QveST [7]
3 years ago
13

Which is the prime factorization of 84?

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0
Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written 2² x 3 x 7.
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The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the correspondi
Leokris [45]

Answer:

2,125,760

Step-by-step explanation:

The first term (a) is 8

The fourth term is 216

Hence the sum of the first 12 term can be calculated as follows

= 8-8(3)^12/1-3

= 8-24^12/-2

= 2,125,760

The sum of first 12 terms is 2,125,760

4 0
3 years ago
A square has a perimeter of 44yd. What is the length of each side?
Natasha_Volkova [10]

Answer:

11 yd

Step-by-step explanation:

44/4 = 11

A square has four equal sides so you divide the perimeter by four to get your answer of 11

5 0
2 years ago
Use the substitution method to solve each system of equations. Write the answer in ordered pairs.
tatyana61 [14]

x -y = 1

5x + 3y = 45

Solve the first equation for x: x = y + 1

Substitute x in the second with y + 1

5x + 3y = 45

5(y + 1) + 3y = 45

5y + 5 + 3y = 45

8y + 5 = 45

8y = 40

y = 5

Substitute 5 for y in x = y + 1

x = y + 1

x = 5 + 1

x = 6

Answer: (6, 5)

5 0
3 years ago
3x – 2y+3<br> 3y - 2x<br><br> X=7 Y=6
faust18 [17]
<h2><em>Answer:</em></h2><h2><em>3×7-2×6+3</em></h2><h2 /><h2><em>=21-12+3=24-12</em><em>=</em><em>1</em><em>2</em></h2><h2 />
8 0
3 years ago
0.04 rounded to the nearest hundreth<br><br> and <br><br> 0.2% rounded to the nearest hundreth
ELEN [110]
To round a number, you look to the next place to the right of what you want to round to... for example, if you want to round to the nearest hundredth, you look to the thousandths place to see whether the hundredths place rounds up or down.

0.04 is already at the hundredths place so the thousandths place is zero... the answer to the nearest hundredth is 0.04.

For 0.2%, you have to convert the percentage to a decimal by dividing by 100 (move the decimal 2 places to the left).

0.2% = 0.002

So now to round to the nearest hundredth, we look to the thousandths place. The thousandths place has a 2 in it so the hundredths place rounds down. 0.2% total he nearest hundredth is 0.
7 0
3 years ago
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