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3 years ago

Find the missing measures for the rectangle

Mathematics

1 answer:

Vadim26 [7]3 years ago

5 0

Do you have a picture or something to accompany the question?

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HELPPPPPPPPPPPPPPPPP!!

goldfiish [28.3K]

Answer:

option 3

Step-by-step explanation:

V= πr²h

to make h the subject

h= V÷πr²

just take πr² to the other side

as it in multiplication on the left hand side, it will in division in right hand side.

hope it helps!

5 0

3 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

3 years ago

Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and lab

hichkok12 [17]

Answer:B

Step-by-step explanation:I just know

4 0

3 years ago

4+7x=-24 how do you solve this algebraic expression

Lady_Fox [76]

Answer:

In order to solve this algebraic expression, you need to get the variable x by itself

Step 1: subtract 4 from each side

4-4+7x=-24-4 (4-4=0, those cancel out) (-24-4=-28)

7x=-28

Step 2: divide both sides by 7

7x/7=-28/7 (7x/7=x) -28/7=-4)

Your final answer would be x=-4

Hope this helps ;)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The election committee for a candidate running for mayor randomly selects 100 women to complete a telephone survey. The women ar

Darina [25.2K]

Answer:

Step-by-step explanation:

5 0

2 years ago