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Rufina [12.5K]
3 years ago
9

The equations are written in point-slope form. Which equation represents a line through points (-8, 3) and (2, -3)?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0
The correct answer is B.
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A square has an area of 121 square centimetres.<br> What is its perimeter?
Karolina [17]

Answer:

  44 cm

Step-by-step explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

  s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

  P = 4s = 4(11 cm)

  P = 44 cm

The perimeter of the square is 44 cm.

3 0
1 year ago
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A middle school campus is shaped like a rectangle with a width of 1/4 mile and a length of 1/2 mile. A map of the campus has a w
igomit [66]

Answer:

A) 1:4

Step-by-step explanation:

#We first calculate the campus' area:

a=lw\\\\=\frac{1}{4}\times \frac{1}{2}\\=0.125 \ mi^2

#We then calculate the campus' map area in square ft:

A=lw\\\\=0.5 \times 1\\\\=0.5 ft^2

Ratio is a comparison between two dimensions:

Ratio=\frac{0.125}{0.5}\\\\=0.25\\\\=\frac{1}{4}\\\\=1:4

Hence, the ratio of the area in square miles of the campus to the area in square feet of the map is 1:4

3 0
3 years ago
To make the perfect orange color hector mixes 2/3 quarts of red paint with 1 4th Court of yellow paint. How much red paint is us
jonny [76]
6/12 or the same thing but reduced 1/2

WELCOME!
5 0
3 years ago
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Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938&#10;

Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0
3 years ago
6x^4+4x^2 what is the degree and number of terms?
Andrew [12]
The degree is "4" and the number of terms is "1"
4 0
3 years ago
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