what is the volume of a sphere if its radius is 30

Answers

Answer 1

Answer:

About 113,097.34 units

Step-by-step explanation:

           The volume of a sphere can be found with the equation V = [tex]\frac{4}{3}[/tex]πr³ when r is the radius.

V = [tex]\frac{4}{3}[/tex]πr³

V = [tex]\frac{4}{3}[/tex]π(30)³

V ≈ 113,097.34 units


Related Questions

I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.

Answers

The layout of each of the coordinates is (x,y) so for the first coordinate (7, 13) you start at zero and go right 7 then up 13. And draw a little cross there or something. If it’s a negative number like (-13, -9) go left 13 from 0 and then go down 9 and draw a little cross again. After you have completed each line you have to join them up (like dot to dot) in the order that you drew them.

Order Least to greatest
31/4 , 7.47, 7.706, 7 7/10

Answers

7.47, 7 7/10, 7.706, 31/4

Answer:

Okay ordering them from least to greatest would be  7.47, 7.70, 7.706, and then 7.75.

Step-by-step explanation:

31/4 can also be simplified into 7.75

7.47 stays the same

so does 7.706

and 7 7/10 can be simplified into 7.70

So the order would be 7.47, 7.70, 7.706, and then 7.75.

How do you write 1.27 repeating as a fraction

btw the repeating part is 7

Answers

Answer:

1 27/100

Step-by-step explanation:

Problem 1:
Solve for x: 3x+4=9x+3
A }
B
C-
D) None of the above.

Show work

Answers

Answer:

x=1/6

Step-by-step explanation:

3x+4=9x+3

isolate x

1=6x

1/6=x

Hello!

[tex]======================================[/tex]

First, let's move all the x's to the left:

3x+4=9x+3

3x-9x+4=3

Now, move 4 to the right:

3x-9x=3-4

Combine Like Terms:

-6x=-1

Divide both sides by -6:

x=[tex]\displaystyle\frac{1}{6}[/tex]

[tex]=========================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Good luck & enjoy your day!Answered by:

[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])

Hello people ~
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:

(a) 20 cm

(b) 8 cm

(c) 10 cm

(d) 9 cm

Answers

Answer:

(c) [tex]\displaystyle 10\:cm.[/tex]

Step-by-step explanation:

Split each diagonal in half and use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}[/tex]

I am joyous to assist you at any time.

Diagonals of a rhombus are perpendicular to each other .

Perpendicular=P=16/2=8Base=B=12/2=6

We need Side

Hypotenuse=H

Use Pythagorean theorem

[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=6^2+8^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=10^2[/tex]

[tex]\\ \rm\rightarrowtail H=10cm[/tex]

Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509

Answers

Answer:$96,054,697,990 ”C”

Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue

The income tax collection by the total population of australia will be $96,054,697,990

What is income tax?

Some amount of our income is charged by the government this amount is called as income tax.

Calculating the amount taxed from each person in the working population:

31.4% × 26450 = $8305.30 per person

The amount of tax collected from the whole population:

8305.30 × 11565470 = $96,054,697,990  

The annual tax revenue will be equal to $96,054,697,990  

To know more about income tax follow

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1. Find the common ratio of the geometric sequence
6, 30, 150, 750, ....

Answers

Answer:

Each number multiplies by 5

Step-by-step explanation:

6x5 = 30

30 x 5 = 150

150 x 5 = 750 etc.

WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT

The number of goals scored by players on a soccer team is represented by the box plot below.



The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.

Answers

The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

What is a Symmetric Data Distribution in a Box Plot?

A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.

A normally distributed data distribution is symmetric.

Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.

Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.

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Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?

Answers

Answer:

10.50$

Step-by-step explanation:

3 dollars a pound

3x3=9

half a pound, half the price which is 1.50$

9+1.50= 10.50

Answer:

$10.465 ≈ $10.47

Step-by-step explanation:

3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47

Please mark as brainliest.

Need help with this last question

Answers

I hope I can help you:)

In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.

Answers

Answer: sqrt(182)

Step-by-step explanation:

Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends. Which equation can he use to find p, the number of pencils each friend will receive? p 6 = 30 p minus 6 = 30 6 p = 30 StartFraction p Over 6 EndFraction = 30.

Answers

The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're given that:

Sebastian has 30 pencilsSebastian will distribute p pencils to each of his 6 friends.

Now, that means, if we collect all those p pencils, then they should be 30 in count.

Sum of pencils from 6 friends = p + p + p + p + p + p = 30

or

[tex]6 \times p = 30[/tex] (since p was added 6 times itself, so we write it as 6 times p)

we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).

Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30

Learn more about forming equations here:

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Answer:C

Step-by-step explanation:

The area of a square is (9a2 − 24a + 16) square units. determine the length of each side of the square by factoring the area expression completely. show your work.

Answers

The will be 3x+4 I hope this help you

What is 9 to the of 3

Answers

Answer:

729

Step-by-step explanation:

PLSS help important
(will gibe brainliest)!
I dont understand this

Answers

To form the vector notation for the translation:

   --> must find how much the new graph moved horizontally from the old

        graph

            --> the graph moved 8 units horizontally

   --> must find how much the new graph moved vertically from the old

        graph

           --> the graph moved 4 units vertically

In vector notation, that would be (8,4)

Hope that helps!

what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Answers

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

Please give me brainliest

The equivalent number is, 203.403.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

Learn more about the mathematical expression visit:

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The school has $3,582 to spend on markers. Each package of markers costs $9. How many packages of markers can the school buy?​

packages

Answers

Answer:

398

Step-by-step explanation:

3582 / 9 = 398


Ridgewood Bank is offering 5% simple interest on all of their savings accounts. If an account is opened with a starting balance of $200, how much money will be in the account after 3 years if no money is withdrawn?​

Answers

Answer:

230

Step-by-step explanation:

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.[/tex]

Formulate and substitute:

[tex]Substitute\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.into\ formula\\ F=P+prt\\ F=200+200rt[/tex]

Calculate

[tex]200\times (1+3\times 0.05)[/tex]

Calculate the product or quotient

[tex]200\times (1+0.15)[/tex]

Calculate the sum or difference

[tex]200\times 1.15[/tex]

Calculate the product or quotient

[tex]230[/tex]

I hope this helps you

:)

Xavier has 25% off coupon for Tool depot if he buys a cordless drill that normally cost 200 what will be the amount of the discount in dollars.

Answers

the discount will be 200 x 25% = 50

he will pay 150 for the cordless drill finally

What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over 2 endfraction right-bracket (–[infinity], [infinity])

Answers

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

What is the range of the function?

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

[tex]y = \sin^{-1}x[/tex]

The above function can be written as,

[tex]\sin y = x[/tex]

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

[tex]-1\leq x\leq1[/tex]

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]

Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

https://brainly.com/question/2264373

Answer:

C {-pi/2,-pi/2}

Step-by-step explanation:

HELP ME PLEASE. THIS IS MY LAST QUESTION THEN I CAN GO TO BED.

Answers

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

The answer is 100. Now you can go to bed! Lol

Solve for area and perimeter in each of the following problems. (2)

Answers

Step-by-step explanation:

Area =5m×11m=55m²

perimeter =(11m+5m)×2=52m

hope it helps!

Find the area when the circumference is 50.24 cm

Answers

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

An equation of a line through (1, 1) which is parallel to the line y = − 4 x 3 has slope:

Answers

Step-by-step explanation:

slope -4

equation of line = (y-y1)=m(x-x1)

eq. = (y-1)= -4(x-1)

y-1=-4x+4

4x+y=5

slope of this line is -4x

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How much material is needed to make the popcorn container?

Answers

94 thank me later have a gooooooooooddddd day

pls help. it’s due tomorrow.

Answers

Answer:

the rest aren't wholly visible;like the signs under the letters

Step-by-step explanation:

11, 15, 19, 23, 27

intervals of +4

18, 13, 8, 3, -2

intervals of -5

If y = 35 when x = 140, what is the value of y when x = 70?

Answers

Answer:

17.5

Step-by-step explanation:

x and y are in the ratio: 1 : 4

which means that if y is 35 x is 4 times y equating to 140

hence if x is 70 then y is 17.5

Please help! will give brainlest!

Answers

Answer:

[tex]\frac{ \sqrt{3} }{2} [/tex]

Step-by-step explanation:

[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]

Alex wonders if the same proportion of people are left-handed in the United States and Canada. He wants to
obtain a random sample of people from each country to test if there is a significant difference between the
proportion of left-handed people in each country.
Which of the following is an appropriate set of hypotheses for Alex's significance test?

Answers

Answer:

Pu.s - pc = 0

Pu.s -pc ≠ 0

(Answer D)

Step-by-step explanation:

Kahn

The appropriate set of hypotheses for Alex's significance test is option D.

What is Hypothesis Testing?

Hypothesis testing is the testing of the relationship between two variables for something we needed to test.

There is null hypothesis and alternate hypothesis.

Null hypothesis, H₀ is the statement we need to test.

Alternate hypothesis, H₁, is true if null hypothesis is false.

Here, given that,

Alex wonders if the same proportion of people are left-handed in the United States and Canada.

He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.

H₀ : there is no significant difference

H₁ : there is a significant difference

So the correct option is,

H₀ : p(U.S) - p(C) = 0

H₁ : p(U.S) - p(C) ≠ 0

Hence the correct option is D.

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Solve:
[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} [/tex]
→ Don't plagiarism
→ Perfect answer needed. ​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: {11x + 5}{} =- 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 11x = -6 - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = -1 [/tex]

Step-by-step explanation:

[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]

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