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Vaselesa [24]
3 years ago
7

There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it

will take the population to reach 300. If necessary, round your answer to the nearest tenth.
The deer population will reach 300 in approximately _____
years.
Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
The deer population will reach 309 in approximately 6 yrs


Year 1. 165•1.12=184.8
Year 2. 184.8•1.12=206.976
Year 3. 206.976•1.12=231.813
Year 4. 231.813•1.12=259.63
Year 5. 259.63•1.12=290.785
Year 6. 290.785•1.12=325.679

Therefore it will take 6 years for the deer’s population to reach 300
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A boat travels 151.2 miles in 3.4 hours how far can it travel in 2.2 hours
Katena32 [7]

151.2 miles                  x miles

------------------ = ----------------------

3.4 hours                     2.2 hours


x miles = (151.2 miles * 2.2 hours) / 3.4 hours

x miles = 97.8 miles


answer

97.8 miles in 2.2 hours

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3 years ago
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What is m∠AEB?<br><br> m∠AEB? = ?
Jobisdone [24]
Ok so remember
when 2 lines intersect the 2 opposite angles that face each other are equal measure
also, remember that a straight line=180

so

therefor BEA=CED and we want to find BEA, also
BED=180 so
BEC+CED=BED=180
aka
6x+7+5x-3=180
solve

6x+7+5x-3=180
combine
11x+4=180
subttract 4
11x=176
diivde 11
x=16

CED=AEB
CED=5x-3
subsitute
CED=5(16)-3
CED=80-3
CED=77
CED=77=AEB


answer is 77 degreees
6 0
3 years ago
The actions that cannot be taken as a result of an action that is taken are known as the ____ of the actions taken.
QveST [7]

Answer:

D.

Step-by-step explanation:

opportunity cost

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Step-by-step explanation:

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2 years ago
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Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?
Bond [772]

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

  • y=-\frac{1}{5}x+\frac{13}{5}

Step-by-step explanation:

Given the equation

5x - y = 12

converting the line into the slope-intercept form y = mx+b, where m is the slope

-y = 12-5x

y = 5x-12

The slope of the line = m = 5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

Therefore, the slope of new line = – 1/m = -1/5 = -1/5

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the slope of new line = -1/5 and (-2, 3)

y-y_1=m\left(x-x_1\right)

y-3=-\frac{1}{5}\left(x-\left(-2\right)\right)

y-3=-\frac{1}{5}\left(x+2\right)

Add 3 to both sides

y-3+3=-\frac{1}{5}\left(x+2\right)+3

y=-\frac{1}{5}x+\frac{13}{5}

Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

  • y=-\frac{1}{5}x+\frac{13}{5}
5 0
3 years ago
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