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Temka [501]
3 years ago
10

a regulation tennis court for a double match is laid out so that it's length is 6 ft more than two times its width. the area of

a doubles court is 2808 square feet what is the length and width of the singles Court
Mathematics
1 answer:
Bond [772]3 years ago
8 0
Area=LW
L=6+2W

given
A=2808

subsitute
2808=LW
subsitute 6+2W for L
2808=(6+2W)(W)
2808=2W²+6W
divide both sides by 2
1404=W²+3W
minus 1404 from both sides
0=W+3W-1404
farctor, what 2 numbers multiply to get -1404 and add to get 3
-36 and 39
0=(W-36)(W+39)
set each to zero

0=W-36
36=W

0=W+39
-39=W
false, can't have negative dimentions

W=36
L=6+2W
L=6+2(36)
L=6+72
L=78

the length is 78ft
the width is 36ft
0=
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Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

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Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

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1 year ago
Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3
erik [133]

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:

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Where \mu=298 and \sigma=3

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

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3 years ago
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mr_godi [17]
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Slope is equal to the parallel line (2/3)
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pentagon [3]
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∠x and ∠y are supplementary angles. ∠y measures 97੦ What is the measure of ∠x?
trasher [3.6K]

Answer:

83 degrees

Step-by-step explanation:

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