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2 years ago

What is this question? 10x – 8x + 2 + 10=

Mathematics

1 answer:

scoray [572]2 years ago

6 0

Answer:

x=-6

Step-by-step explanation:

So you can write this as 10x-8x+2+10=0

Now you have to solve this equation for x

2x+12=0

2x=-12

x=-6

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Daisy needs 3/4 of a scoop of cream for one serving of a recipe. How many scoops of cream will she need for 5 serving?

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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.

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3 years ago

Write 10 x 10 x 10 x 10 x 10 with an exponent.<br> 10 x 10 x 10 x 10 x 10 =

lakkis [162]

Answer:

$10^5$

Step-by-step explanation:

Exponents are basically just saying how many times the number is multiplied by itself.

In the expression $10\cdot10\cdot10\cdot10\cdot10$ , we can see that 10 is being multiplied by itself 5 times.

So the exponent becomes 5, and the base is 10.

$10^5$ .

Hope this helped!

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3 years ago