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Mazyrski [523]
3 years ago
6

Convert 6 x 10 to the power of 5 into standard form

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

First let's write it out with just numbers

6×10^{5}

Now solve!

Solve exponent first

10^5 = 100,000

Now multiply

6 x 100,000 = 600,000

600,000 is your answer

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Gerry's electric toothbrush rotates the brush 125 times per second.
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Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

  • 1 minute = 60 seconds
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∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

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→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

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∴ Her electric toothbrush makes 210,000 rotations in one week

3 0
3 years ago
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The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10
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The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

<h3>What is the Surface Area of a Triangular Prism?</h3>

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

  • side of base (s1) = 6 in.
  • side of base (s2) = 8 in.
  • side of base (s3) = 10 in.
  • Length of prism (L) = 14 in.
  • Triangular base length (b) = 6 in.
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Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

Learn more about the surface area of a rectangular prism on:

brainly.com/question/1310421

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