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3 years ago

Help plzzz!! Find the slope through these pairs of points

1 answer:

Colt1911 [192]3 years ago

8 0

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

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Consider functions

aniked [119]

b is the correct answer

Step-by-step explanation:

see the step in the picture

6 0

2 years ago

Solutions to 39=4-7v

pishuonlain [190]

V = -5 because you subtract 4 from both sides then divide both sides by -7 and you get -5

4 0

3 years ago

Read 2 more answers

Division of fraction 3/5 divided by 10/11

Tema [17]

3/5 ÷ 10/11
multiply by the inverse

3/5 x 11/10 = 33/50

3 0

3 years ago

Read 2 more answers

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

The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c

Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

<u>Volume of a rectangular prism = ?</u>

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = $\frac{1}{2} \times3=\frac{3}{2} \ cm$

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = $\frac{1}{3}\ of\ length$

$3=\frac{1}{3}\times length$

By multiplying both sides by 3

$3\times3=\frac{1}{3} \times3\ length\\9= length\\$

Thus, length of prism = 9 cm

Now, as we know:

$Volume\ of\ rectangular\ prism=length\times breadth\times height$

$=9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm$

Therefore, the volume of a rectangular prism is 40.5 centimeters.

3 0

3 years ago