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3 years ago

Which of the following shows the prime factorization of 72 using exponential notation?

Mathematics

2 answers:

Luba_88 [7]3 years ago

6 0

Answer:

2^3 .3^2

Step-by-step explanation:

if 2×2×2 = 8

and 3×3=9 then 8×9=72

oksano4ka [1.4K]3 years ago

4 0

Answer:

2³ × 3²

Step-by-step explanation:

Repeatedly divide by 2 until finish, then divide by 3

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9 , then

9 ÷ 3 = 3

3 ÷ 3 = 1 ← finish when 1 is reached

Then

72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

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Can you simplify 6/x-1 - 5x/4

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x - 1 4 4(x - 1) 4(x - 1) 4x - 4 4x - 4 4x - 4

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3 years ago

What is 8−7x+2y−3x+2y+3 written in simplest form?

Alexus [3.1K]

Answer: A: = −10x+4y+11

Step-by-step explanation:

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3 years ago

Read 2 more answers

Look at the figure shown below. A student made the table shown below to prove that PQ is equal to RQ 1. Provide the missing stat

djverab [1.8K]

Answer:

ΔSQR ≅ ΔTQP by ASA congruence
triangle congruence is needed before a claim based on that can be made

Step-by-step explanation:

1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:

ΔSQR ≅ ΔTQP --- ASA congruence postulate

2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.

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3 years ago

Which equation can be used to solve the following word problem? Seth has 8 more nickels than dimes, and the total value of his c

9966 [12]

Answer:

Seth has 21 nickels

Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

$5n+10(n-8)=235.$