Answers
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
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Related Questions
2x = 37 find solve of x
Answers
Answer:
18.5
Step-by-step explanation:
37 divided by 2 is 18.5
Find the distance between the points 4,7 and -5,7
Answers
Answer:
9
Step-by-step explanation:
Horizontal line from 4 to -5.
Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
[tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]
Thus let us plug in all the know values and solve:
[tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]
Thus the distance is 9
Hope that helps!
Choose the value of (n) that makes the sentence true.
32/n > 2
a. n=8
b.n=32
c.n=16
d.n=64
help me plss
Answers
32/32 = 1
32/16 = 2
32/64 = 1/2
32/8 = 4
Answer would be A
a yard is equal in length to three feet
Answers
Answer:
if it takes yards and turns it into feet then it just multiplies it by 3
Step-by-step explanation:
Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)
Answers
The amount of money Camden would have in his account after 12 years is equal to $2,374.3.
How to calculate compound interest.To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.
Mathematically, compound interest is given by this formula:
[tex]A=P(1+r)^t[/tex]
Where:
A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Given the following data:
Principal = $1400.
Interest rate = 4.5% = 0.045.
Time = 12 year.
Substituting the given parameters into the formula, we have;
[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]
A = $2,374.3.
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Solve each system by graphing. Y=x-4 and y=-x
Answers
Check the picture below.
Please help, I’ll mark your answer as brainliest.
Answers
Answer: the answer is
Step-by-step explanation:
. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.
2. how many bacteria cells will be present in the dish after 3 hours?
3.how many bacteria cells will be present after 12 hours?
Answers
Answer:
you first divide fifty out of one hundred then we multiply it by thirty
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answers
The table has been created just we need the formula to utilise
The formula is given by
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{\sum f(x-\overline{x})^2}{n}}[/tex]
Find f(x-x^-)²It's
313.29+806.45+474.32+72.9+58.19+532.9+605.16+0+497.293360.5Now
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{3360.5}{50}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{67.21}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=8.2[/tex]
Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answers
Answer:
Option C
-3(x² + 2x) + 4x(x + 3) – 3x
Step-by-step explanation:
a.)-3(x² – 2x) + 4x(x + 3) – 12x-3(x² – 2x) + 4x(x + 3) – 12x
-3x² + 6x + 4x² + 12x – 12x
4x² – 3x² + 6x + 12x – 12x
x² + 6x
Here, The answer is x² + 6x but our required answer is x² + 3x. So, option a is not the answer.
b.)3(x² + 2x) – 4x(x – 3) + 3x3(x² + 2x) – 4x(x – 3) + 3x
3x² + 6x – 4x² + 12x + 3x
3x² – 4x² + 12x + 3x + 6x
-x² + 21x
Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.
c.)-3(x² + 2x) + 4x(x + 3) – 3x-3(x² + 2x) + 4x(x + 3) – 3x
-3x² – 6x + 4x² + 12x – 3x
4x² – 3x² – 6x + 12x – 3x
x² + 3x
Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.
Thus, The correct answer is option c.
What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55
Answers
Answer:
5
Step-by-step explanation:
Answer:
The mean absolute deviation would be 10.
Step-by-step explanation:
I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.
The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit
Answers
Answer:
9
Step-by-step explanation:
12 divided by 4 is 3
3 multiplied by 3 is 3
The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be the length of the rectangle and y be the width of the rectangle
The perimeter of a rectangle = 2( l + b)
12 = 2(x + y)
(x +y) = 6
y = 6- x
The area of the rectangle = length × Width
= x × y
= x ( 6- x)
= 6x - x^2
Learn more about the area;
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Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.
Answers
An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,
Total Cost = Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room
Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won
= 1,337,132 won
The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,
Amount left for Spending = Total Budget - Total Cost
= 2,192,896 won - 1,337,132 won
= 855,764 won
Thus, the amount left with Ian to spend is 855,764 won.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?
a. 1,337,132 won
b. 1,026,184 won
c. 855,764 won<<<CORRECT
d. 830,456 won
Step-by-step explanation:
2022 EDGE TOPIC TEST
Can you help me with this
Answers
Answer:
the anwer is d
I did the math
10 to the Ninth power is 1, 000,000,000
1,000,000,000 x 8.06 = 8,060,000,000
-4x - 8 = -(5x + 3) pleasee
Answers
hopefully it's correct!!
Answer:
x = 5
Step-by-step explanation:
-(5x + 3) --> -5x - 3
-4x - 8 = -5x - 3
-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)
-4x = -5x + 5
-4x + 5x = -5x + 5 + 5x (add 5 to both sides)
x = 5
Please help!
A: 128°
B: 92°
C: 36°
D: 52°
Answers
sum of triangle angles = 180
so
? = 180 - 36 - 92 = 52° => D
Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?
Please help ASAP!!
Answers
Answer:C, 9 sheets
Step-by-step explanation:
Answer: It's true, it's 9.
Step-by-step explanation:
Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.
How many feet of electrical cord did he use altogether?
Answers
Answer:
7 feet
Step-by-step explanation:
60 inches is 5 feet add the 2 feet
Please do number 10. Thanks.
Answers
Answer:
379.94
Step-by-step explanation:
area of a circle is pi*radius squared. Radius is 11. 11*11=121. Now all you have to do is multiply 3.14*121. 3.14*121=379.94
The equation for the area of the circle ⇒ [tex]\pi r^2[/tex]
r: length of the radius --> 11cm[tex]\pi[/tex] --> 3.14Now lets plug in all the known values in the equation:
[tex]\pi r^2=3.14 * 11^2 = 3.14 * 121 = 379.94[/tex]
Thus it wants the answer rounded to the nearest whole number, so
Answer: 380 square centimeters
Hope that helps!
Write the decimal equivalent for 9 over 5.
Answers
divide 9 by 5 u will get 1.8 as the answer
Explanation:
9 over 5 = 9/5 = 18/10 = 1.8
You can also use long division as shown below.
Or you can use your calculator to quickly get this value.
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answers
Answer:
B is a the answers for the question
please mark me as brainlest
A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?
Answers
The volume of the sculpture with triangular pyramid shape is 40 feet³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a pyramid is given as:
Volume = (1/3) * base area * height.
For pyramid with base of 12 feet² and height 10 feet, hence:
Volume = (1/3) * 12 * 10 = 40 feet³
The volume of the sculpture with triangular pyramid shape is 40 feet³
Find out more on volume at: https://brainly.com/question/12410983
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210
Answers
Answer:
he has to pay 4980$ in tax
Step-by-step explanation:
Answer:
This question was on my test and I got a 100 so its right
Step-by-step explanation:
Find the measure of Zv.
V
D
48°
87°
E
Answers
Answer:
45°
Step-by-step explanation:
A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.
Hope this helps!
Answer:
45
Step-by-step explanation:
♤interior angles of a triangle add up to 180♤
let angle V= x
48+87+ x= 180
135+x=180
x=180-135
=45
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft
Answers
Answer:
96π ft³ or 301.44 ft³
Step-by-step explanation:
Volume = Base Area x Height
V = (πr²)(h)
V = (π)(2²)(24)
V= 96π ft³
Anyone please help me with this question
Answers
Answer:
12
Step-by-step explanation:
these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).
in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.
so, we can use the sides opposite of the 47° angles to find that ratio :
21/9 = 7/3
and now also the sides 28 and x must have the same ratio :
28/x = 7/3
4/x = 1/3
12/x = 1
x = 12
On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 2, 3), (negative 2, 6), (negative 1, 6), and (negative 1, 4). Trapezoid B is reflected in quadrant 2. Trapezoid C is reflected across the y-axis. Trapezoid D is reflected into quadrant 4. Trapezoid A is reflected across the x-axis.
Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?
figure A
figure B
figure C
figure D
Answers
Answer: C
Step-by-step explanation:
Reflecting over the x axis, the image of a point in Quadrant 2 is a point in Quadrant 3.
Answer:
Figure C
Step-by-step explanation:
The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?
_____ miles
Answers
Answer:
115.2
Step-by-step explanation:
Take 345.6 miles and divide it by 3 getting your answer. Have a great day!
I need help bro like I'm screaming crying rn dude its not even a joke anymore
Answers
Answer: There are 24 monkeys in the tress.
Step-by-step explanation:
Compare the functions shown below
Using complete sentences, explain which function has the greatest y-intercept.
Answers
check the answer in the solution part.
Step-by-step explanation:[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]
[tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]
I hope this helps you
:)