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Alborosie
3 years ago
14

14. The prime factorization of a number is

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

The number = 5 * 7 * 23.

5  * 7 = 35 must therefore also be a factor.

If we divide the number by 35 we get 23!.

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What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
Sedaia [141]

The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.

Step-by-step explanation:

If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.

m = \frac{y2-y1}{x2-x1}

In this case,

x1  = 5

x2 = 7

y1  = 80

y2 =  65

By putting the values in formula, we get

m = \frac{(65-80)}{7-5}

m = \frac{(-15)}{2}

or

m = -7.5

Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.

Learn more:

The following links have more information about slope

brainly.com/question/2586096

brainly.com/question/1978312

Keywords: slope

#learnwithBrainly

3 0
3 years ago
Read 2 more answers
I need help!!!
Nataly_w [17]

Answer:

y = 3

Step-by-step explanation:

8(y + 2) = 40 \\ y + 2 =  \frac{40}{8}  \\ y + 2 = 5 \\ y = 5 - 2 \\ y = 3

6 0
3 years ago
Read 2 more answers
Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after
Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is \frac{4}{27}

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:  

\frac{8}{9}÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to \frac{6}{1}, by inverting the number, then you get \frac{1}{6}

Then:

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}

Finally, simplifying the fraction:

\frac{8}{9}÷6= \frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}

So:

\frac{8}{9}÷6= \frac{4}{27}

<u><em>The fraction of the book that Rena read every day is </em></u>\frac{4}{27}<u><em></em></u>

3 0
3 years ago
Which expression has the same value as the one below?
marta [7]

Answer:

answer is B 38-18

Step-by-step explanation:

38 + (-18)

38-18

5 0
3 years ago
Read 2 more answers
5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.
Luba_88 [7]

Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

z=

−b±√b2−4ac

2a

z=

−(−4)±√(−4)2−4(−1)(9)

2(−1)

z=

4±√52

−2

z=−2−√13 or z=−2+√13

8 0
2 years ago
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