which of the following is equivalent to 5 cube root 13^3

Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Answer:

[tex]10000m^{3}[/tex]

Step-by-step explanation:

The swimming pool takes the shape of a rectangular prism, and we are required to find the volume of the pool.

Given data

length l = 100m

width w= 25m

depth/height h= 4m

We know that the expression for the volume of a rectangular prism is

[tex]volume= length*width*height\\[/tex]

substituting our given data we have

[tex]volume = 100*25*4\\volume= 10000m^{3}[/tex]

Hence the volume of water that can fill the pool is [tex]10000m^{3}[/tex]  

Answer:

since the ratio of both volumes is approximately 4, then we can say Nicholas is correct

Step-by-step explanation:

Firstly, what we need to do is to calculate the volume of both.

For the cylindrical bucket, the volume can be calculated as

pi * r^2 * h

where r is 6 inches and h is 15 inches

The volume is thus

pi * 6^2 * 15 = 540pi inches*3

For the spherical storage, the volume can be calculated using the formula

V = 4/3 * pi * r^3

with r = d/2 = 24/2 = 12 inches

The volume is thus;

V = 4/3 * pi * 12^3 = 2,304 pi inches^3

Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.

Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times

The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.

Volume of cuboid = (length x width x height)

= 24 x 8 x 9

= 1,728 cubic inches

Thus, the volume of the cuboid is 1,728 cubic inches.

Learn more about cuboid;

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Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

Answer:

degrees ⋅(π radians /180 degrees )

the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.

315 degrees ⋅(π radians /180 degrees )

315 and 180 are both divisible by 45 , so.

74⋅π radians = 74π radians.

Answer:

hi

Step-by-step explanation:

Answer:

A farmer has 180 eggs.

He stores them in trays.

Each tray holds 30 eggs.

Then he would need 180/30 = 6 trays.

Hope this helps!

:)

Answer:

-2.8

Step-by-step explanation:

I solved it thats how

Answer:

10x + 4 [tex]\geq[/tex] 25

Step-by-step explanation:

a.)

= 15a - 13a

= a(15 - 13)

= a(2)

= 2a

b.)

= -6x - 18y

= -(x + 3y)

c.)

= 36abc + 54ad

= 6a(6bc + 9d)

Answer:

[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]

[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]

[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

x + y = 198

y = 1.20 x

x + 1.2 x = 198

2.2x = 198

x = 198/2.2 = 90

y = 198 - 90 = 108

Answer: 90 and 108

Answer:

108 and 90

Step-by-step explanation:

let the two numbers be x and y

from the question let y be the greater number

therefore, y = 20%x +x

y=20/100x + x

y=(20x+100x)/100

y=120x/100

y=1.2x

from the question

x+y=198______(1)

x+1.2x=198

2.2x=198

x=198/2.2

x=90

from (1)

x+y=198

90+y=198

y=108

x=90 y=108

Answer:

320

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply together the width, length, and height. 16*5*4=320 cubic centimeters. Hope this helps!

Answer:

4104 and 13832

Step-by-step explanation:

This type of number is known as the Hardy-Ramanujan Number.

We have that 1729 is the first number where this is found, but there are others. The second number that meets this is:

4104

2 ^ 3 + 16 ^ 3 = 9 ^ 3 + 15 ^ 3

And we also have:

13832

18 ^ 3 + 20 ^ 3 = 2 ^ 3 + 24 ^ 3

That is to say, the numbers 4104 and 13832 comply with this property

Answer:

First quartile: the lowest 25% of numbers.

Step-by-step explanation:

you're welcome.

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

Answer:

its actually 3/8 trust me

Step-by-step explanation:

Answer:

625.5 cm^2

Step-by-step explanation:

The volume of a cone is

V = 1/3 B h

4170 = 1/3 B 20

4170 = 20/3 B

Multiply each side by 3/20

4170 *3/20 = B

625.5 = B

Hey there! I'm happy to help you!

The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...

The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.

In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.

In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.

4,170*3= 12510

The other step we took was multiply the base by the height, which is 20 centimeters.  To get our base, we will divide by the height instead!

12510/20= 625.5

Therefore, the area of the base of the cone is 625.5 centimeters squared.

I hope that this helps! Have a wonderful day!

The total number of 2-digit numbers that are multiples of either 5 or 7 is 27

The multiples of 5 end on 0 or 5, so we have:

10, 15, 20, 25,..., 95

A total of 17 numbers of 2 digits are multiples of 5.

How many multiples of 7 are there?

7*2 = 14

7*14 = 98

So there are 14 - 2 = 12 multiples of 7 in the range.

Such that:

7*5 = 35

7*10 = 70

So there are 2 common multiples of 5 and 7.

Then the total number of 2-digit numbers that are multiples of either 5 or 7 is:

17 + 12 - 2 = 27

If you want to learn more about multiples:

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Answer:

[tex]763 ft^3[/tex] or 763 cubic feet.

Step-by-step explanation:

The tank is cylindrical and the volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius and h = height

The radius, r, of the tank is 4.5 ft and the height, h, of the tank is 12 ft.

Therefore, the volume of the cylindrical water tank is:

[tex]V = \pi * 4.5^2 * 12\\V = 763.407 ft^3[/tex]

Approximating to whole number, the volume of the tank is [tex]763 ft^3[/tex] or 763 cubic feet.

Step-by-step explanation:

Both hypothesis are 3

so,

sin 45 = h/3

h= 3 sin 45

[tex]h= \: \frac{3}{ \sqrt{2} } [/tex]

Answer:

StartFraction 2 Over h EndFraction = StartFraction 3 Over m EndFraction

StartFraction 2 Over n EndFraction = StartFraction 3 Over h EndFraction

StartFraction 2 Over h EndFraction = StartFraction h Over n EndFraction

Startfraction 2 Over h EndFraction = StartFraction h Over 3 EndFraction

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

Answer:

x=1  y=3

Step-by-step explanation:

y = 4x - 1

y = -3x + 6

Set the two equations to each other

4x - 1  = -3x + 6

Add 3x to each side

4x +3x - 1  = -3x+3x + 6

7x-1 =6

Add 1 to each side

7x-1+1 = 6+1

7x= 7

Divide each side by 7

7x/7 = 7/7

x=1

Now we can find y

y = 4x-1

y = 4(1)-1

y = 3

Answer:

It would be B.

Step-by-step explanation:

Hope it helpssss

Answer:

(x-16)(x+3)

Step-by-step explanation:

Answer:

Perimeter = 80mm

Step-by-step explanation:

= 4(side)

= 4(20)

= 80mm

hope it helps!

Answer:

What is the perimeter of this square? 80 mm

Step-by-step explanation:

20 + 20 + 20 + 20

= 4 × 20

= 80 mm

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

Answer:

Substitute (2, 1) into x + 3y = 5 to get  2 + 3(1) = 5

Simplify the equation to get 5 = 5 is true

Substitute (2, 1) into y = –x + 3 to get 1 = -(2) + 3

Simplify the equation to get 1 = 1 is true

Step-by-step explanation: well i am doing it right now and i got it right