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

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
$

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