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PilotLPTM [1.2K]
3 years ago
12

A designer is working to decorate a circular room with a radius of 9 meters and needs to know the area of the room to purchase t

he carpet for the room. What is the area of the room?
Use 3.14 for π .

Enter your answer, as a decimal, in the box.


___m^2
Mathematics
2 answers:
Natalija [7]3 years ago
8 0

Answer:

Area of circle = 254.34 m²

Step-by-step explanation:

Area of circle = π×r²

Area of circle = 3.14 x 81

Area of circle = 254.34 m²

katrin [286]3 years ago
3 0

Answer:

254.34

Explanation:

I took the quiz.

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Select the equivalent expression.
Free_Kalibri [48]

Answer:

\frac{7^{15}}{3^{30}}

Step-by-step explanation:

The given expression is:

(\frac{3^{-6}}{7^{-3}})^{5}

Moving the expression to the other side in the fraction changes its sign to opposite. A numerator with negative exponent, when written in denominator will have the positive exponent. Using this rule, we can write:

(\frac{3^{-6}}{7^{-3}})^{5}\\\\ = (\frac{7^{3}}{3^{6}} )^{5}

The exponent 5 can be distributed to both numerator and denominator as shown:

(\frac{7^{3}}{3^{6}} )^{5}\\\\ = \frac{(7^{3})^{5}}{(3^{6})^{5}}

The power of a power can be written as a product. i.e.

\frac{(7^{3})^{5}}{(3^{6})^{5}}\\\\ =\frac{7^{15}}{3^{30}}

So, the expression similar to the given expression and with positive exponents is: \frac{7^{15}}{3^{30}}

6 0
3 years ago
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6 0
3 years ago
The residual plot for a data set is shown.
Stolb23 [73]

Here are the CORRECT answers.

Please leave a thanks.

7 0
3 years ago
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The complex solution to a quadratic equation is x equals start fraction three plus or minus square root of negative 36 end squar
Naya [18.7K]
The square root of a -36 simplifies to "6i". So you have 3+/- [6i/6].  The 6's cancel each other out leaving 3+/-i.  So the "a" is 3 and the "b" is 1
4 0
3 years ago
A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?
rodikova [14]

Answer:

Step-by-step explanation:

The continuous compound formula is

y=Pe^{rt where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09

which would probably round to just 3848 people.

8 0
3 years ago
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