A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder =
Volume of the cone =

Pls i need help

Answer:

1 cup of red paint = 4/3 or 1  1/3 cups of white paint

Answer:

It is very cool that Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius

that means when it is 10 degrees Celsius, she won't wear her winter coat

Answer:

Step-by-step explanation:

Which of the following shows 2x³y − 3x² + 7y²x − 12y written in standard form?

b) −12y + 7y²x − 3x² + 2x³y

c) 7y²x − 12y + 2x³y − 3x²

d) −12y − 3x² + 7y²x + 2x³y

Answer:

2x^3 y + 7y^2 x − 3x^2 − 12y

Step-by-step explanation:

(Just took test)

In order for it to be in standard form in needs to be in the proper order. So just rearrange the numbers to the correct spots to get your answer.

Answer:

All real numbers are solutions (hope that helps)

Step-by-step explanation:

12x+1=3(4x+1)−2

Step 1: Simplify both sides of the equation.

12x+1=3(4x+1)−2

12x+1=(3)(4x)+(3)(1)+−2(Distribute)

12x+1=12x+3+−2

12x+1=(12x)+(3+−2)(Combine Like Terms)

12x+1=12x+1

12x+1=12x+1

Step 2: Subtract 12x from both sides.

12x+1−12x=12x+1−12x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

33cm^2

Step-by-step explanation:

Add the areas of the individual shapes so one rectangle and a square.

4*2 + 5*5 > 8 + 25 = 33

Answer:

31 cm²

Step-by-step explanation:

The area of the large figure is the sum of the areas of the smaller rectangles, the 4 cm x 2 cm one and the 5 cm x 5 cm one.

Area of the 4 x 2: 4 x 2 = 8 cm²

Area of the 5 x 5: 5 x 5 = 25 cm²

Sum of the two: 8 cm² + 25 cm² = 31 cm²

Answer:

1. [tex]4\sqrt{5}[/tex]

2. [tex]10\sqrt{10}[/tex]

Step-by-step explanation:

When you multiply radicals, you do the following

[tex]a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}[/tex]

with that in mind

1.

[tex]\sqrt{16}\cdot \sqrt{5}[/tex]

here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4

[tex]=4\sqrt{5}[/tex]

2.

[tex]\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}[/tex]

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

Answer: I think it would still be 4/25. If not I am really sorry.

Step-by-step explanation:

Answer: 12 metres

Step-by-step explanation:

The scale factor used for the model is 1 : 30.

This means that for any 1cm on the model, the real boat would be 30 cm.

If the height is 40 cm on the model, the real boat will be 30 times that:

= 40 * 30

= 1,200 cm

A metre is equivalent to 100cm.

1,200 cm would therefore be:

= 1,200/100

= 12 metres

Answer:Kim’s family invested $3000

Step-by-step explanation:

The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.

The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.

The value of the CD at the end of each quarter can be calculated using the formula:

CD value at end of quarter = CD value x (1 + interest rate per quarter)

For example, at the end of the first quarter, the CD value would be:

CD value at end of first quarter = $3000 x (1 + 0.02) = $3060

You can repeat this process for each quarter to find the CD value at the end of 5 years.

After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:

CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84

To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01

To learn more about Compound interest click here:

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Answer:

5

Step-by-step explanation:

10% = 0.1

0.1*50 = 5

Answer:

5

Step-by-step explanation:

10 percent *50 =

( 10:100)*50 =

( 10*50):100 =

500:100 = 5

Now we have: 10 percent of 50 = 5

Answer:

$17.79

Step-by-step explanation:

9.72+8.07=17.79

Answer:

$17.34

Step-by-step explanation:

Just add

$8.07+$9.72

Answer:

60 that is the answer

Step-by-step explanation:

Answer:

..

Step-by-step explanation:

There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Fruit weight = 53 kilograms

And, Another weight = 47 kilograms

Now,

Let number of kilograms weights to remove and add = x

So, We can formulate;

⇒ 53 - x = 47 + x

Solve for x as;

⇒ 53 - 47 = x + x

⇒ 6 = 2x

⇒ 2x = 6

⇒ x = 3

Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

Learn more about the subtraction visit:

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Answer:

7

Step-by-step explanation:

63x1/9

Hope that helps

Have a good day

Answer:

90,000

Step-by-step explanation:

As per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.

Here,
According to the question, the maximum limit shown on the scatterplot is $180 for 90 units on the scatterplot,
Where horizontal units are represented as the scale of 1 unit = 1000 units.
So for the maximum.
For the cost of $180 the gallons of water used is 90×1000.

Thus, as per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.

Learn more about scatter plots here:

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Answer:

x=2,25=2 1/4

Step-by-step explanation:

-3x+10=5x-8

10+8=8x

x=2,25=2 1/4

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

Answer:

1395

Step-by-step explanation:

Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid

volume of rectangular prism is 15·9·7=945

volume of pyramid is (15·9·10)/3=450

add

450+945=1395

Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

Answer:

The answer is 12

Answer:

12

Step-by-step explanation:

Simple

Answer:

82-24=48

Step-by-step explanation:

Answer:  Piper will have $3750  

Step-by-step explanation:

In this situation we will represent the total amount she have in the bank by y and the number of weeks by x

The whole situation can be represented by the the equation

  y = 1400 + 50x  where y is the total amount , 1400 is the initial amount Piper deposited , 50 is of course the amount Piper will deposit each week , and x is the number of weeks.

Now since they are looking for the amount Piper will have in his account, you have to input 47 for x and solve for y.

y = 1400 + 50(47)

y = 1400 + 2350

y = 3750

Answer: I believe the answer is 6x.

Answer:

6x

Step-by-step explanation:

the -3x cancels out 3 from the 9x making it 6x :)

Answer:

0.875

Step-by-step explanation: hoped i helped ^-^