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Juliette [100K]
3 years ago
6

Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so

warm. What is the percent change in the depth of the snow?
Mathematics
1 answer:
kherson [118]3 years ago
7 0
1.6 is 80% of 2, so the percent change is 20%.
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Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is
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Answer:

21) falls

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23) rises

24) rises

25) falls

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27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula m=\frac{y_2-y_1}{x_2-x_1} to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is m=\frac{6-1}{2-3}

\implies m=\frac{5}{-1}=-5.

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is m=\frac{4-5}{-2- -2}=\frac{-1}{0}= undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is m=\frac{10-8}{2-0}=\frac{2}{2}=+1

A positive slope means this line rises

24)  The points are (-3,-3), (3,1)

The slope is m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2

A negative slope means this line falls

26)  The points are (-2,-8) , (5,-8).

Slope: m=\frac{-8--8}{5--2}=\frac{0}{7}=0

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: m=\frac{3-2}{5--1}=+\frac{1}{6}

A positive slope means this line rises

28) The points are: (\frac{1}{2},4), (-1,4)

Slope: m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0

A zero slope means the line is horizontal

29) The points are: (4,\frac{1}{2}), (5,\frac{1}{4})

Slope: m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}

A negative slope means this line falls.

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3 years ago
Each cube in the prism is one cubic unit. <br> What is the volume of this rectangular prism?
Oksanka [162]

Answer:

I think the answer would be 120 cm3 .

8 0
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Find the equation of a line parallel to line y=6 that passes through the point (-2,-1)
ohaa [14]

Answer:

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Step-by-step explanation:

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2 years ago
Suppose there is a 1.1 Fahrenheit a drop in temperature for every thousand feet that an airplane climbs into the sky and the tem
Mashutka [201]

Answer:

45.8 degrees

Step-by-step explanation:

We know that the temp before take off is 57.9

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We know that the temp drops 11 times

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How can this 12×2+2³ make 120
Alex17521 [72]

Step-by-step explanation:

12\times(2+2^3)\qquad\text{use PEMDAS}\\\\\text{first power}\\\\=12\times(2+8)\\\\\text{next addition in parentheses}\\\\=12\times10=120

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