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2 years ago

6

Homework help, please

1 answer:

Vinvika [58]2 years ago

4 0

Start the line at 3 on the y-axis (vertical). then go down two boxes and to the right three & make a mark at that point. keep going down two and over three until the end of the graph. then just connect the marks.

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Let f(x)=-2-7 and g(x)= -4x+6. Find (f*g)(-5)

Masja [62]

If (-5) = x then the anwser should be
-234

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2 years ago

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

2 years ago

What is C in the triangle <br> C=

Alla [95]

Answer:

C = 13

Step-by-step explanation:

$A^{2}$ + $B^{2}$ = $C^{2}$

$5^{2}$ + $12^{2}$ = 169

$\sqrt{169}$ = 13

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3 years ago

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Cerrena [4.2K]

Since one nickel equals 5 cents, you'd multiply 10 nickels by 5 cents apiece and yield 50 cents to spend.

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3 years ago

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miskamm [114]

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The volume of the rectangular prism should be 4.096.

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