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Ne4ueva [31]
3 years ago
7

A machine can produce 14 inches of ribbon every 2 minutes. How many feet of ribbon can the machine make in one hour? Complete th

e explanation to justify your answer.
Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

35 feet of ribbon.

Step-by-step explanation:

The rate of 14 inches per every 2 minutes would equal 30 two-minute intervals as 60 minutes (an hour)/2 minutes = 30. 14 x 30 = 420 inches in one hour, which reduces to 35 feet since 420inches/12 inches (one foot) = 35.

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Write 2^8 * 8^2 * 4^-4 in the form 2^n
Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

=a^4

where

  • a is the base, and
  • 4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power. 

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }

\mathbf{= 2^8\times (2^6) \times (2^{-8}) }

\mathbf{= 2^{8+6+(-8)}}

\mathbf{= 2^{6}}

Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.

Learn more about exponential forms here:

brainly.com/question/8844911

#SPJ1

4 0
2 years ago
Six times one third what does that answer
soldier1979 [14.2K]

Answer:

2

Step-by-step explanation:

6         1           6    /3    2

---  x    ---   =    ---   =    ---    =   2

1          3           3   /3    1

4 0
4 years ago
I need help what do I put in this blank what is the last number
givi [52]

Answer:

8 in

Step-by-step explanation:

? = a

a² + b² = c²

a² + 15² = 17²

a² + 225 = 289

a² = 289 - 225

a² = 64

\sqrt{a^2} =\sqrt{64}

a = 8

7 0
3 years ago
The Westside Bakery uses 440 pounds of sugar to make
Marta_Voda [28]

Answer:b) 0.44

Step-by-step explanation:

5 0
3 years ago
Plz help
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