Find the volume of this sphere.
Use 3 for pie.
V≈ [?]cm³
V = πr³
10 cm

Find The Volume Of This Sphere.Use 3 For Pie.V [?]cmV = R10 Cm

Answers

Answer 1

Answer:

V ≈ 500 cm³

Step-by-step explanation:

Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)

π (pi) ≈ 3r (radius) = diameter/2 ⇒ 10/2 = 5 cm

Substitute the given values into the formula:

⇒ V = ⁴⁄₃πr³

⇒ V ≈ (⁴⁄₃)(3)(5)³

⇒ V ≈ (⁴⁄₃)(3)(125)

⇒ V ≈ (⁴⁄₃)(375)

V ≈ 500 cm³

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Answer 2

Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]

Find:  [tex]\textsf{Determine the volume}[/tex]

Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.

Determine the radius

[tex]\textsf{Radius = Diameter / 2}[/tex][tex]\textsf{Radius = 10 cm / 2}[/tex][tex]\textsf{Radius = 5 cm}[/tex]

Plug in the values

[tex]\textsf{Volume = 4/3 } * \pi*r^3[/tex][tex]\textsf{Volume = 4/3 } * 3 * (5\ cm)^3[/tex]

Simplify the expression

[tex]\textsf{Volume = (4 * 3)/3} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * 125\ cm^3[/tex][tex]\textsf{Volume = } 500\ cm^3[/tex]

After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.


Related Questions

A number is 5 more than 3 times another number. the sum of the two numbers is 33. as an equation, this is written x 3x 5 = 33, where x represents the smaller number. plug in the numbers from the set {3, 5, 7, 9} to find the value of x. the value of x that holds true for the equation is . so, the smaller number is and the larger number is .

Answers

Answer:

Step-by-step explanation:

Equation

x + 3*x + 5 =33

Solution

4x + 5 = 33

x = 3

4*3 + 5 =? 33

12 + 5 = ? 17         x is not 3

x = 5

4*5 + 5 = ? 33

20 + 5 = 25          x is not 5

x = 7

4*7 + 5 =? 33

28 + 5 = 33             x = 7 is the answer

The value of the variable x will be 7 that holds true for the equation.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A number is 5 more than 3 times another number.

The sum of the two numbers is 33.

Let the number be x.

Then the another number will be 3x + 5.

Then the equation will be

x + 3x + 5 = 33

Then the value of x will be

4x + 5 = 33

4x = 28

x = 7

Then the value of the variable x will be 7 that holds true for the equation.

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if each element in the input is mapped to one element in the output, then the relation is called as a

Answers

Answer:

function

Step-by-step explanation:

Lightning quickly heats the air causing it to expand, which produces the sound of thunder. Sound travels approximately 1 mile in 5 seconds. Knowing D = rt, how far away is a thunderstorm when you notice a 3- second delay between the flash of lightning and the sound of thunder? Lightning quickly heats the air causing it to expand , which produces the sound of thunder . Sound travels approximately 1 mile in 5 seconds . Knowing D = rt , how far away is a thunderstorm when you notice a 3 second delay between the flash of lightning and the sound of thunder ?

Answers

Answer:

every second it travels 1/5 of a mile after 3 seconds you are 3/5 miles away

Hope This helps!

find the y intercept ​

Answers

Answer:

(0,-2)

Step-by-step explanation:

y intercept is that line that intercepts with the y axis

when x is 0 then y value.

The answer is (0,-2)

What is the branch of mathematics developed by isaac newton called today?.

Answers

Answer: Calculus.

Step-by-step explanation: He created calculus.

Which transformation would be a horizontal reflection and a dilation of scale factor ½ of the L shape?

Answers

The transformation which would be a horizontal reflection and a dilation of scale factor ½ of the L shape is as in the attached image.

What is horizontal reflection and dilation?

The term horizontal reflection with respect to transformation in mathematical context simple means that the shape is reflected over the vertical axis(y-axis as mirror). The dilation of a scale factor of ½ simply means that the shape reduces to half it's original size.

Hence, it follows that the attached image represents the transformation.

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3 photos are printed in 1 minute. How many minuted would it take to print 600 photos

Answers

Answer:200 minutes

Step-by-step explanation:

1 minute = 60 seconds.

6/3 = 2 (20 seconds) 1 photo every 20 seconds.

600x20 = 12000. seconds.

12000/60 = 200 (200 minutes)

Answer:

200 photos

Step-by-step explanation:

1 min = 3 photos

X min = 600 photos

therefore

3 X = 600

X = 600/3

X = 200

como identifico una X Cubica en un polinomio

Answers

la componente "cubica" será aquella que tenga un exponente igual a 3.

¿como identifico una X Cubica en un polinomio?

Un polinomio tiene la forma general:

[tex]p(x) = a_n*x^n + ... + a_1*x^1 + a_0[/tex]

Donde todos los exponentes de x son numeros naturales.

Particularmente, la componente "cubica" será aquella que tenga un exponente igual a 3.

Entonces, por ejemplo, en:

[tex]p(x) = 4*x^5 + 2*x^4 + 5*x^3[/tex]

La parte cubica será:

[tex]5*x^3[/tex]

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!!!!PLEASE HELP FAST !!!!

Solve each discrete exponential growth/decay problem. A country pledges to
reduce its CO2 emissions by 3.9% per year. If the emissions in 2022 are 5,160 Mt
(metric megatons), what are the maximum allowable emissions in the year 2030?
A) 5160 0.844≈ 1,329 Mt
B) 5160-0.961 = 3,754 Mt
C) 10320-0.961 = 7,507 Mt
D) 5160-0.99=4,761 Mt

Answers

Answer:

C) 10320-0.961 = 7,507 Mt

that is my answer please have a great day

Examine Carmen's plans for rail lines at a train station.
2
(6x + 5)°
X
48%
What is the measure of angle 2? m/2 =
K
m
(7x-4)°
t

Answers

The measure of angle 2 is 73.

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

As, angle 1 and 2 are supplementary

<1 + <2 + (6x +5) =180

And, by corresponding angle, <1= 48

So, 48 + <2 + (6x +5)= 180

          <2 + (6x +5) = 132

Also x= 9

then, <2 = 132 - 59

        <2= 73.

Hence, measure of <2 is 9.

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16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.​

Answers

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.


If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5

Answers

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

Answer:

1) f(x) is one - to - one function2) 2

Step-by-step explanation:

inverse of f(x)

Let f(x) = y

y = 2x - 3

x = y + 3 / 2

inverse of f(x) = x + 3 / 2

g(x) = inverse of f(x)

f [g(2)]

f [2+3/2]

f [5/2]

(2×5/2)-3

5-3

= 2

Therefore f [g(2)] = 2

What is the range of the function y=-x² +1?
Oys-1
Oy2-1
Oyst
y21

Answers

The range of the function is

[tex]y \leqslant 1[/tex]

Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.

Answers

Answer:

D.) Yes, because it passes the vertical line test.

Step-by-step explanation:

For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.

In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.

Yes, The graph is function because it passes the vertical line test.

We have to given that,

A graph of function is shown in image.

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Hence, By given graph,

it passes the vertical line test.

So, Graph shown is a function.

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In question 1, you found the cubes of both positive and negative numbers. Does x3 = 8 have two solutions as x2 = 4 does? Why or why not?

Answers

No it doesn’t. This is because if you have a negative number and multiply it by itself 3 times, you’ll still have a negative number (-1 times -1 times -1 is still -1). On the other hand, if you take a negative number and multiply it by itself twice (-1 times -1) you’ll have the answer that is positive (1).

Parent Functions
Question 4 of 10
On a piece of paper, graph:
{1 if -1 < x≤0
f(x) = {2 if 0 < x≤1
{3 if 1 < x≤2
Then determine which answer choice matches the graph you drew.

Answers

The graph of the parent function is given below;

What is Function?

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given function is;

         1, if -1<x≤0

f(x) = 2, if 0<x≤1

          3, if 1<x≤2

Now, the graph of given function is given below.

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Answer:

The correct graph is in the image below

Step-by-step explanation:

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
7
when x = 1, find y when x = 3.
3x2 (3)=
--/12
C.
7
27
y =
b.
4x² (3) 7
36
7x2 (3) 4
63
3
y=y(3)
y=
d.

Answers

Answer:

k=7,y=2.33 and y=k/x^2

Step-by-step explanation:

y=k/x^2

7=k/1

k=7

y=k/x^2

y=7/3

y=2.33

hope it helpful

Which equation represents the line that is parallel to y= 3 and passes through (-2,-8) ? ​

Answers

Answer:

y = - 8

Step-by-step explanation:

y = 3 is a horizontal line that includes all of the x coordinates

   just need to find parallel

           y = - 8

what is the answer for this please 23÷23​

Answers

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1. So, 23 divided by 23 is 1.

Marsha has 132 books.
They are divided
equally between three
shelves. Each book
weighs 0-2 kg.
How much weight
does each shelf
support?

Answers

Answer:

Step-by-step explanation:

=132/3

=44 books per shelf

since maximum weight of a book is 2kgs,

=44(2)

=88

PLS HELP!!

Find the zeros of y=x² - 6x-4 by completing the square.
O A. x= 3± √13
OB. x = 3± √5
O C. x = -3± √13
OD. x = ±3

Answers

Answer:

A

Step-by-step explanation:

y = x² - 6x - 4

(x - 3)² - 3² - 4 = 0

(x - 3)² - 13 = 0

(x - 3)² = 13

x - 3 = ±√13

x = 3 ± √13

It’s A I just did this

A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.




Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar?

A.
15

B.
25

C.
9

D.
18

Answers

Answer:

D 18

Step-by-step explanation:

100% = 50 (all students)

1% = 100%/100 = 50/100 = 1/2 = 0.5

we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.

there are 9 votes for green.

9/ 0.5 = 18%

f(x) = 3x + 6, find the ordered pair when x = -1.

(-1,-3)

(-1,3)

(-1,-9)

(-1,9)

Answers

Answer:

(-1 ; 3)

Step-by-step explanation:

when they say find the ordered pair they simply mean find the corresponding y value when x = -1

* where you see x substitute-1 *

f(-1) = 3(-1) + 6

=3

Match each figure to the number of lines of reflection that will reflect the figure onto itself.

Answers

The lines of symmetry for all the figures have been determined.

What is Reflection Symmetry ?

A symmetry in which one half of the object is symmetrical to thew other half

A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals

A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals

A Trapezium can have 0  or 1 lines of symmetry depending upon the length of the non parallel sides.

An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.

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Answer:

Step-by-step explanation:

got it right

The following set of random numbers represents 20 simulations of three daily
flights from New York to Los Angeles, with 0, 1, 2, or 3 representing a late
departure and 4, 5, 6, 7, 8, or 9 representing an on-time departure. In how
many of the simulations was there an on-time departure for all three flights?

Answers

The number of simulations in which was there was an on-time departure for all three flights is; 6

How to carry out number simulations?

We are given;

Number of Simulations = 20

Numbers that represent late departure = 0, 1, 2 or 3

Numbers that represent On-time departure = 4, 5, 6, 7, 8 or 9.

Now, the 20 simulations as seen online are;

339 931 317 444 432 858 194 192 649 709

742 626 702 258 955 880 505 854 774 132

To know the number of simulations that were on-time departure, we need to find the ones that don't include 0, 1, 2 or 3.

Looking at the simulations, the ones that represent on-time departure are 444, 858, 649, 955, 854, 774.

Thus, there are 6 simulations in which was there an on-time departure for all three flights

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What is the solution to the system of equation

Answers

Answer:

[tex]x=(-2,\frac{5}{3} )[/tex]

Step-by-step explanation:

1)  We will use the matrix method to solve this problem.

[tex]\left[\begin{array}{ccc}-2/3&1&3\\1&0&-2\\\end{array}\right][/tex]

2) Swap Row₁ and Row₂ to make row reduction easier.

[tex]\left[\begin{array}{ccc}1&0&-2\\-2/3&1&3\\\end{array}\right][/tex]

3) Apply to Row₂ :  Row₂ + [tex]\frac{2}{3}[/tex] Row₁.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\end{array}\right][/tex]

4)  Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

5) Apply Row₁ : Row₁ - 0 Row₂.

[tex]\left[\begin{array}{ccc}1&0&-2\0\\0&1&5/3\end{array}\right][/tex]

6) Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in reduced row echelon form.

7) Therefore,

[tex]x=-2\\x=\frac{5}{3}[/tex]

Use the factorization to find the values of x for which p(x) = 0. (x – 1)(x 1)(x 5) = 0 x – 1 = 0, so x = x 1 = 0, so x = x 5 = 0, so x =

Answers

Answer: (x – 1)(x + 1)(x + 5) = 0

x – 1 = 0, so x =  1

x + 1 = 0, so x =  -1

x + 5 = 0, so x = -5

p=f/a, where f=70 and a=20
f is increased by 10
a is increased to by 10

Answers

[tex]\huge\underline{ Answer -}[/tex]

Given ,

[tex]\boxed{p = \frac{f}{a} } \\ [/tex]

where ,

the initial values of a and f are -

a = 70

a = 20

To find - value of p if the values of a and f are increased by 10

[tex]\therefore \: f = 80 \\ a = 30[/tex]

Then ,

[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]

hope helpful ~

50 POINTS AND BRAINLIEST!! PLEASE GIVE AN EXPLANATION. If ray VA-VF-VB and the measure of angle AVF = 32 and the measure of angle FVB = 2x + 9 and the measure of angle AVB = 3x - 4, then find the measure of angle AVB.

Answers

The measure of angle AVB = 131 degree .

What is a Ray ?

A line with a starting point but extends upto infinity in one direction.

It is given that

Measure of angle AVF = 32

the measure of angle FVB = 2x + 9

the measure of angle AVB = 3x - 4

The angle AVB = AVF + FVB

this can be written as

3x- 4 = 2x+9 +32

x = 32+9+4

x = 45 degree

Therefore the measure of AVB = 3*45-4 = 131 degree

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How would you describe the red paths pictured below? ( The picture above)


A. Perpendicular

B. None are correct

C. Parallel

D. Intersecting

Answers

Answer:

perpendicular

Step-by-step explanation:

A. Perpendicular :)

yw
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