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elena-14-01-66 [18.8K]
3 years ago
14

what is the prime factorization of 55^5 x 65 x 9^15 and why? A. 3^15 * 5^6 *11^5*13 B. 3^30 *5^6 *11^5 *13 C.3^30 * 5^6 *11 * 13

D. 3^30 *5^5*11^5*13
Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

B

Step-by-step explanation:

1. Lets focus on 55^5

55^5 = 11^5 * 5^5

2. now on 65

65 = 5 * 13

3. now on 9^15

9^15=(3^2)^15 = 3^30

4. combine all three parts

11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30

so our answer is B

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Solve the inequality.<br><br> 2(4+2x)≥5x+5
astra-53 [7]

Answer:

x≤3

Step-by-step explanation:

2(4+2x)≥5x+5

1) Distribute 2 to 4 and 2x:

8+4x≥5x+5

2) Subtract 4x from both sides:

8≥x+5

3) Subtract 5 from both sides:

3≥x

4) Rewrite with variable first:

x≤3

3 0
3 years ago
Maria is attempting to factor the expression In her first step, she rewrites the expression as. Which of the following statement
scoundrel [369]

Answer:

B


Step-by-step explanation:

The first parenthesis is (y + 12) and the second parenthesis is ( - y - 12 ).


<u>These two has to be equal in order for her to combine terms and simplify further.</u>


<em><u>For them to be equal, she </u></em><em><u>SHOULD HAVE</u></em><em><u> factored out a  -7 from the second group of factors so the term inside the 2nd parenthesis would have been ( - y - 12 ) thus making the factoring and simplification possible!</u></em>

From the answer choices, B is right.

7 0
3 years ago
PLEASE HELP (only if you know what you are doing )
KiRa [710]

Answer:

1. 3     2. 22     3. 0

Step-by-step explanation:

First Box: Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 6 individual songs that would cost her $3.

because each individual song cost $0.50 so (6 times 0.5= 3)

Since Jada only has $15 we need to subtract 3 from 15 to find out how much money she has left. So, 15-3=12. Jada has $12 left

An album cost $4 dollars each so Jada can only buy 3 albums with $12 because 12 divided 4 is 3.

Answer to first box: 3

Second Box:  Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 1 album that would cost her $4.

because each individual song cost $4 so (4 times 1= 4)

Since Jada only has $15 we need to subtract 4 from 15 to find out how much money she has left. So, 15-4=11. Jada has $11 left

An individual song cost $0.50 dollars each so Jada can only buy 22 individual songs with $11 because 11 divided by 0.5=22.

Answer to second box: 22

Third Box: Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 30 individual songs that would cost her $15.

because each individual song cost $0.50 so (30 times 0.5= 15)

Since Jada only has $15 we need to subtract 15 from 15 to find out how much money she has left. So, 15-15=0. Jada has $0 left

An album cost $4 dollars each so Jada can only buy 0 albums with $0 because 0 divided 4 is 0.

Answer to third box: 0

4 0
3 years ago
Read 2 more answers
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the
AveGali [126]

The true statement is h(2)=16.

<h3 /><h3>What is domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function. The range of a function is the set of values that the function assumes.

Given:

domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25,

Also, h(8) = 19 and h(-2) = 2,

Now,

2=h(-2)< h(2)<h(8) =19

h(8)=19≠21

h(13)> h(8) =19

h(-3)< h(-2) =2  [1 ≤ h(x) ≤ 25]

Hence, h(2)=16

Learn more about domain and range:

brainly.com/question/23199615

#SPJ1

5 0
1 year ago
A triangle can be drawn with angle measure of 60 degrees, 60 degrees, and 70 degrees
GrogVix [38]

Answer:

False. All triangles must have a total of 180°. 60° + 60° + 70° = 190°.

5 0
3 years ago
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