MATHEMATICS HIGH SCHOOL

Solve for r

v = 4/3 r^3

Answers

Answer 1

Answer:

Answer:

$r=\sqrt[3]{(3v)/(4) }$

Step-by-step explanation:

To solve for $r$ :

$v=(4)/(3)r^(3)$ (given)

$(3v)/(4)=r^(3)$ (times $(3)/(4)$ on both sides)

$r=\sqrt[3]{(3v)/(4) }$

I hope this helps :)

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How to add 9.73 and 21.6?

Can you check to see if tese are right? 1 What is 0.68 written as a simplified fraction? 68/100 17/25 100/68 34/25 2 Mrs. Whimsey’s class is having a pizza party. If there are 16 students and 4 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza each student receives?one-third one-sixteenth one-fourth one-eighth 4. Based upon the 2010 census data, the total population of the U.S. is 308,745,538 people. Approximately, what is this population in scientific notation?
3.1 x 10^8 3.1 x 10^7 3.1 x 10^–8 31 x 10^7 5. What is the solution to (4 x 10^3) x (6 x 10^6), written in scientific notation?
24 x 10^9 2.4 x 10^9 24 x 10^18 2.4 x 10^10 8 What is 0.00000512 in scientific notation? 5.12 x 106 512 x 105 5.12 x 10–6 512 x 10–5 9 What is thirty-one over five written as a decimal? 1.6 6.1 6.2 6.5 My answers are: 1. 17/25 2. 1/8 4. 3.1 x 10^8 5. 2.4 x 10^9 8. 5.12 x 10^6 9. 6.1

Answers

1. 0.68 is equal to 68/100 but this can be simplified further to 17/25
2. There are 8 slices and 16 students, the fraction is 8/16 or 1/2
3. (4 x 10^3) x (6 x 10^6) = 2.4 x 10^10
4. 308,745,538 in scientific notation is 3.1 x 10^9
31/5 is 6.2

W(-3)=-3+7

Find W(-3)=

Answers

Answer:

230

Step-by-step explanation:

230 answer

Answer: W= -4/3=-1.33333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

w*(-3)-(-3+7)=0

Pull out like factors : -3w - 4 = -1 • (3w + 4)

Solve : -3w-4 = 0

Add 4 to both sides of the equation :

-3w = 4

Multiply both sides of the equation by (-1) : 3w = -4

w = -4/3 = -1.333

add and simplify 9/16=1/2=?

Answers

$(9)/(16)+(1)/(2)=(9)/(16)+(8)/(16)=(17)/(16)=1(1)/(16)$

I hope I helped :D

9/16+ 1/2= 9/16 + 8/16= 17/16 simplified as 1 1/16

In which quadrants is the ordinate positive?

I and II
II and III
I and IV

Answers

Answer:

I and II

Step-by-step explanation:

The quadrants are made out of two lines: ordinates (also called y axis) and abscissa (also called x axis), and their intersection. This is showed in the pic attached here. As you can see, the quadrants are named starting by the one on top-right with I and going on counter-clock wise.

The ordinates are the vertical. So we need to see which of the quadrants have positive values in the ordinates. Those will be the ones who or on the top of the image, over the abscissa axis.

I hope it works!

I and II have at least one positive. Start in the upper right, and move counterclockwise to number the quadrants.

Solve for n. Round to the tenths place, if necessary. 9.75/24 = 5.85/n

A. n = 10.6 ounces
B. n = 14.4 ounces
C. n = 9.8 ounces
D. n = 15.2 ounces

Answers

n = 14.4

so it would be "B"

24 x 5.85 = 140.4

9.75 x n = 9.75n

140.4/9.75 = 14.4
n=14.4

Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the ratio of the volume of sphere A to sphere B?A 2:6

B 4:36

C 1:3

D 1:27

Answers

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.

What are Scaled figures?

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similarfigure is of M units, then:

$L = k * M$

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × the area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linearquantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,

Diameter of sphere B = 3 × Diameter of sphere A

= 3 × 2 units

= 6 units

Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,

$(\frac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \frac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \n\n\n((2)/(6))^3 = \frac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\n\n\n\frac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = (1)/(27)$