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Alisiya [41]
3 years ago
13

Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the near

est tenth.
Mathematics
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

17.85 cm

Step-by-step explanation:

1) Area of a sphere formula: A=4\pi r^{2}

2) Plug in A: 1000 = 4\pi r^{2}

3) Simplify: 1000 = 12.56r^{2}

4) Divide Each Side By 12.56: 79.61783439 = r^{2}

5) Take the Square Root of 79.61783439 to Solve for r: 8.922882628 = r

6) Double r to get the diameter: 8.922882628*2= 17.84576486

7) Round to the Nearest Tenth: 17.85 cm

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Answer:

1. The negative sign on an exponent means the reciprocal. A negative exponent tells how many times to divide a base number.

2. A positive tells how many times to multiply a base number.

could you also give me a brainliest if I am correct.

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2 years ago
Evaluate ㏒ b 1, b > 0.
IrinaVladis [17]

Answer:

The solution is 1.

Step-by-step explanation:

Logarithm:

Suppose we have a logarithmic equation in the following format:

\log_{a} b = c

It means that:

a_c = b

In this question:

\log_{b} 1 = x

Which means that:

b^x = 1

Every number, elevated to 0, is 1. So

b^0 = 1

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3 years ago
Nathan is organizing textbooks on his bookshelf. He has a Spanish textbook, a math
Ghella [55]

Answer:

6 ways

Step-by-step explanation:

Given:

Books: Spanish, Maths and History textbooks (1 each)

Required

Determine the number of arrangements

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The number of arrangements (n) is as follows:

The first book can be lined in 3 ways

The second book can be lined in 2 ways

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So,

n = 3 * 2 * 1

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3 0
2 years ago
Read 2 more answers
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV
Assoli18 [71]
I believe it’s B.) sorry if I’m wrong!!!!
5 0
2 years ago
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Pls Helps LOTS OF POINTS!
Stells [14]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

To find the scale factor, all you have to do is <em>divide a side value of one figure by its congruent side value on another figure. </em>

Step-by-step explanation:

To start:

  • The values 15 and 10 are both for the same congreunt side --> EF and E'F'
  • The values 4 and 6 are both for the same congreunt side --> DE and D'E'
  • The values 4 and 6 are both for the same congreunt side --> DG and D'G'
  • The values 8 and 12 are both for the same congreunt side --> FG and F'G'

So, to find the scale factor, all you have to do is divide the smaller congruent value from the larger congruent value.

Larger congruent value ÷ smaller congruent value = scale factor

              15                      ÷                10                        = scale factor

              \____________________/

                                    1.5

<h3>So, the scale factor is 1.5</h3>

To double check, we will use another congruent side to find the scale factor:

12 ÷ 8 = scale factor

1.5      = scale factor

<h3>So, the scale factor is most definitely 1.5</h3>

I hope this helps!

- sincerelynini

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3 years ago
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