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liq [111]
3 years ago
7

A biologist wants to know the width (w) of a river to properly set instruments for an experiment. From point A, the biologist wa

lks downstream 100 feet and sights to point C. From the sighting it is determined that 0=54°. How wide is the river?
Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

w = 137.6 ft

Step-by-step explanation:

100 tan 54° = w/100 *100

Simplify w/100*100 = w

w = 100 tan 54°

w = 137.6 ft

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Find x when f(x)=1 . (These means find the input that gives an output of 1.)<br><br> f(x)=1/x-2
Andreyy89

Answer:

x = 1/3

Step-by-step explanation:

1 = 1/x -2

add 2 to both sides

3 = 1/x

x = 1/3

5 0
2 years ago
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Ipatiy [6.2K]

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264

Step-by-step explanation:

well you could have just used a calculator!

3 0
3 years ago
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If f(x)=3x^2-5 and g(x)=-2x+5, then f(3)g(3)=
Vladimir [108]

Answer:

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

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3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

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g

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(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

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(

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−

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Add like terms:

(

f

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)

(

x

)

=

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(

−

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+

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2

(

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(

x

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=

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Explanation:

(

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g

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(

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=

f

(

x

)

+

g

(

x

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:

(

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Add like terms:

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2

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+

(

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(

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(

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=

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Step-by-step explanation:

5 0
2 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

M = z*\frac{\sigma}{\sqrt{n}}

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

6 0
3 years ago
PLS HELP I DONT UNDERSTAND !
Svetach [21]

Answer:

I think the answer is 24

Step-by-step explanation:

hope its helpful

4 0
3 years ago
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