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3 years ago

A number is multiplied by 3. if 2 is added to the product you get 17. what is the number

Mathematics

1 answer:

Sveta_85 [38]3 years ago

4 0

The answer is 5
$5 \times 3 = 15 \\ 15 + 2 = 17$

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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

Helppppppp hugssssssssssssss

BlackZzzverrR [31]

ANSWER: y=x-8

EXPLANATION:

4 0

2 years ago

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The perimeter of a square is 26.46 inches. what is the side length of the square?

ser-zykov [4K]

Because to find the perimeter of a shape you have to add all the sides together so you would take 26.46 and divide it by 4 (since squares have 4 sides) to get 6.165

6 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!

Maurinko [17]

X divided by 2 = y
Or you could do
Y times 2= x

3 0

2 years ago

Suppose that y varies inversely with X and that y equals 4 when x equals 6 what is an equation for the inverse variation

nekit [7.7K]

When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.

To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.

y = k / x
4 = k / 6
24 = k

Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.

3 0

3 years ago

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