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anzhelika [568]
4 years ago
11

Alexander is building a rectangular pen in his backyard for his dog. The pen will have a length of 13 feet and a width of 2x fee

t. What expressions represent the total amount of fencing needed for the pen?
Mathematics
1 answer:
faust18 [17]4 years ago
3 0

Answer:

4x+26

Step-by-step explanation:

to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.

So, 13+13+2x+2x=4x+26

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For the​ following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variab
anzhelika [568]

Answer:

A confidence interval for a mean should be constructed to estimate the variable of interest.

Step-by-step explanation:

The confidence interval for a mean uses the sample mean to estimate the true population mean.  Since it is a confidence interval, instead of a single number for the mean, the result shows a lower estimate and an upper estimate of the mean.  In this experiment, the confidence interval cannot be for a proportion since the population of healthy males is unknown, but the calculation is being done with a sample of 75 healthy males.

4 0
3 years ago
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A 2-feet wide manhole cover is designed to cover a manhole opening on the street.
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Approximately 9.4
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3 years ago
PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater
jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

f(x) = 2^x

Express f(x) as y

y = 2^x

Swap the positions of x and y

x = 2^y

Take the logarithm of both sides

\log(x) = \log(2^y)

Apply the rule of logarithm

\log(x) = y\log(2)

Divide both sides by log(2)

y = \frac{\log(x)}{\log(2)}

Apply the change of base rule of logarithm

y = \log_2(x)

When the strength is 8 pascals, we have:

y = \log_2(8)

Express 8 as 2^3

y = \log_2(2^3)

So, we have:

y =3 \log_2(2)

Evaluate log 2 base 2

y =3

Hence, the logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0
2 years ago
Please help <br> !!!!!!!!!!!!!!!!
Eduardwww [97]

Answer:

6 in 2.

Step-by-step explanation:

Area =  √s(s-a)(s-b)(s-c)

=  √6×(6 - 4)×(6 - 3)×(6 - 5)

=  6 inches 2.

7 0
3 years ago
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A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location,
insens350 [35]

Answer:

Step-by-step explanation:

time to cross will be the distance divided by the velocity in that direction.

a) t = d/v = 45/2.75 = 16.363636... 16.4 s

In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.

b) d = vt = 2.5(16.36) = 40.9090... 40.9 m

As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities

c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s  magnitude

  θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across

7 0
3 years ago
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