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Monica [59]
3 years ago
9

The base of a cylinder has an area of 12 cm2. This cylinder has a height of 5 cm. What is the volume of this cylinder? ​

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

60cm^3

Step-by-step explanation:

You can find the volume of a cylinder by using this formula:

V = pi * r^2h

And you can find the base area for a cylinder by using the formula:

A = pi * r^2 = 12

V = pi * r^2h = Ah

=12 * 5 = 60cm^3

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A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
3 years ago
Please help with this if you don’t know don’t answer
astraxan [27]

Answer:

3\16

Step-by-step explanation:

movement of snail per hour,1/8×3/2=3/16

5 0
3 years ago
At a pet shop 5 herbals out of 15 have black hair and 3 mice out of 9 have black hair. Are the ratios the Same?
dmitriy555 [2]

Answer: Yes.

Step-by-step explanation:

First ratio

5 : 15

Simplify (divide both sides by 5)

1 : 3

Second Ratio

3 : 9

Simplify (divide both sides by 3)

1 : 3

8 0
3 years ago
Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
6 47/75 as a percentage
almond37 [142]

Answer:

662.6%

Step-by-step explanation:

6 0
3 years ago
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