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k0ka [10]
2 years ago
9

The circle will be dilated by a scale factor of 6. What is the value for n if the expression nPI represents the circumference of

the circles in inches?
Mathematics
2 answers:
IgorLugansk [536]2 years ago
8 0
A dilation by a scale factor of 6 will cause the radius to increase by a factor of 6. So r_{new} = 6r. If we plug this value of r into the formula for the circumference of a circle we get C = 2\pi r_{new} = 2\pi *6r = 12\pi r

So basically N = 12r. You haven't given me any original radius, so I can't give you a constant for N, but if you do have that original radius you can just plug that into 12r.

Based on your comment, N = 12 * 9 = 108 inches
e-lub [12.9K]2 years ago
5 0

Answer:

108

Step-by-step explanation:

just took the test

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Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w
pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

0.5 = (0.89)^t

Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

Approximately 6 weeks

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2 years ago
The table contains the proof of the theorem of the relationship between slopes of parallel lines. What is the missing statement
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Answer:it is the letter A

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Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If
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Xavier wants to earn more then 575 dollars a week, he will have to sale x<3,600 a week . So the answer is C
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Answer:

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Step-by-step explanation:

Source: Khan Academy

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2 years ago
Simplify 6xy - 20y + 7z - 8x + 25y - 11z
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Answer:

6xy - 8x + 5y - 4z

Step-by-step explanation:

6xy - 20y + 7z - 8x + 25y - 11z

Group the ones with the variable first to make an equation:

6xy - 8x - 20y + 25y + 7z - 11z

Solve the equation

6xy - 8x +5y - 4z

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