Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 8.7 cm. Find the volume of the cylinder. Use 3.14 for t. The volume of the cylinder is about cm3 (Round to the nearest tenth as needed.) ​

Step-by-step explanation:

= 18 a³/ - 3 a

= - 6 a²

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Answer:

Hi how are you doing today Jasmine

Step-by-step explanation:

Oliver deposits P= $1,000

Then total amount A after n months given that the balance increases by %15 each month can be calculated as

[tex]A= 1000(1+15/100)^n[/tex]

Assuming the increase in amount is compounded monthly.

Given:

The sequence is 8, 10, 12.5, 15.625,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

8, 10, 12.5, 15.625,...

Here, the first terms is 8.

[tex]\dfrac{10}{8}=1.25[/tex]

[tex]\dfrac{12.5}{10}=1.25[/tex]

[tex]\dfrac{15.625}{12.5}=1.25[/tex]

The common ratio is 1.25. So, the given sequence is a geometric sequence.

The explicit formula for a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The explicit formula for the given geometric sequence is:

[tex]a_n=8(1.25)^{n-1}[/tex]

Therefore, the correct option is A.

Step-by-step explanation:

Let the required integers be x,x+1,x+2.

Therefore,

x+x+1+x+2=45

3x+3=45

3x=42

x=14

Hence, the required integers are 14,15,16.

Answer:

5 3/5

Step-by-step explanation:

17/5+11/5=28/5=5 3/5

Answer:

5 3/5

Step-by-step explanation:

3+2

2/5 + 1/5

5+3/5

5 3/5

Answer:

4 dollars, $4

Step-by-step explanation:

As for the cost being on the side and the amount of bag tags being on the bottom, thats the first step, to study the cost to tag ratio.

1st dot: 8:2

2nd dot: 4:16

3rd dot: 24:8

Now, simply divide 8 from 2, you get 4.

Divide 4 from 16, you get 4

Lastly, divide 24 from 8 and you get 4.

That all rounds up to a integer 4 :}

Hope it helps!!

Answer:

4

Step-by-step explanation:

Answer:

(I attached an image of the graphed lines)

Step-by-step explanation:

First, we need to graph the original function:

Next, we need to find the inverse of the function and graph that as well:

Answer:

They ate 3/4 of the pizza. 1/4 of it was left.

Step-by-step explanation:

Answer:

They ate 3/4 of the pizza.

Bilal had 1/4 of the pizza

Step-by-step explanation:

Answer:

You could multiply the top or the bottom equation by a negative (-1) and then add the equation together/continue with the steps of elimination and you will have gotten rid of X. Answer to the problem is (2,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

             →    Scone   Muffin   Cookie

↓ Coffee

Tea

120 ÷ 500 × 100 = 24%

180 ÷ 500 × 100 = 36%

Answer:

The y-intercept of the line is 9.

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-2(x-4)

y-1=-2x+8

y=-2x+8+1

y=-2x+9

y=mx+b where m=slope and b=y-intercept

Answer:

10% of people don't like either. Your answer is 120 people.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation y=0 means y always equals zero, so the point (x,y) cannot be (0,7) because that says y=7

Answer:

64 feet cubed

Step-by-step explanation:

4x4x4=64

Answer:

V=Volume

V = 64 ft³

4 x 4 x 4 = 64 or 64 ft³

Answer:

Cream = 3 cups

Chocolate = 6 cups

Step-by-step explanation:

Cream = 1 cup

Chocolate = 2 cups

Total = 3 cups

Cream : chocolate = 1 : 2

He uses 9 cups of these two ingredients. How many cups of chocolate does he use in this candy recipe?

Cream = ratio of cream/total ratio of total cups

= 1/3 of 9

= 1/3 × 9

= 3 cups

Cream = 3 cups

Chocolate = ratio of chocolate/total ratio of total cups

= 2/3 of 9

= 2/3 × 9

= 6 cups

Chocolate = 6 cups

Answer:

See attachment for histogram

Step-by-step explanation:

Given

[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]

Required

Represent on histogram

Calculate the range of the data

[tex]Range = 32.9 - 21[/tex]

[tex]Range = 11.9[/tex]

Using a width of 5, we have:

[tex]Class = \frac{Range}{5}[/tex]

[tex]Class = \frac{11.9}{5}[/tex]

[tex]Class =2.38[/tex]

Round up

[tex]Class = 3[/tex]

This means that the class will have 3 classes which are:

21.0 - 24.9, 25.0 - 29.9  and 30.0 - 34.9

The frequency table is as follows:

[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]

See attachment for histogram

Answer:

7/16

9/16

Step-by-step explanation:

boys =7+9 total ratio =16

ratio of boys=7/16

ratio of girls=9/16

Answer:

$4.60 dollars

Answer:

10.4 miles

Step-by-step explanation:

c(m) = trip cost

c(m) = 6.75 + 3.2m

40.03 = 6.75 = 3.2m

33.28 = 3.2m

m = 10.4

Answer:

7.20

Step-by-step explanation:

Answer:

1 student =1 mat then 1×8=8 students floor =10 your answer is 8 over 10

Answer:

5.33%

Step-by-step explanation:

Answer:

5.33%

if not it cpuod be 5.32% most likely to be the forst one

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

4.040,000

Step-by-step explanation:

y = 2x

Month    Height

1              2 ft

2             4 ft

3             6 ft

4             8 ft

and then, plot these points on the graph:

(1,2) ... (2,4) ... (3,6) ... (4,8) ...

Answer:

The answer is pentagon

Answer:

1) x = 14

2) x = 25

Step-by-step explanation:

1)

3x - 2 + 50 = 90

3x + 48 = 90

3x = 42

x = 14

2)

4x + 2 + 78 = 180

4x + 80 = 180

4x = 100

x = 25