A sphere has a radius of 7 millimeters. A second sphere has a radius of 4 millimeters. What is the difference of the volumes of the spheres?

Answers

Answer 1

Answer:

Step-by-step explanation:

volume V1=4/3 π(r1)³=4/3 π×7³

V2=4/3 π(r2)³=4/3 π×4³

V1-V2=4/3 π(7³-4³)=4/3π(343-64)

=4/3×π×279

=4π×93

=372π mm³


Related Questions

Write -9.31 as a mixed number.

Answers

Answer:

[tex] - 9 \frac{31}{100} [/tex]

Step-by-step explanation:

[tex] - 9.31 \times 100 = - 931[/tex]

[tex] - 9 .31 = - \frac{931}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 9 \frac{31}{100} [/tex]

The horizontal cross-sectional shapes of the given prism are all congruent.

Answers

Answer:

true

Step-by-step explanation:

A rectangle has an area of 144 ft2. The length is 16 ft. What is the width?

Answers

The width would be 9 I don’t want to explain it but if you want me to leave a comment
To find the area you multiply the length times the width so so to find the width you’d have to divide the area by the length giving you 9 for the width.

The number 47 is decreased to 44. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

6.38298% or 6.4%

hope this helps

Final answer:

To calculate the percentage decrease from 47 to 44, the difference is divided by the original number and then multiplied by 100. The result is approximately a 6.4% decrease.

Explanation:

To calculate the percentage decrease of the number from 47 to 44, we use the following formula for percentage decrease:


Percentage decrease = ((Original Value - New Value) / Original Value) × 100%


In this case, the original value is 47 and the new value is 44. So the calculation would be:


Percentage decrease = ((47 - 44) / 47) × 100%

Percentage decrease = (3 / 47) × 100%

Percentage decrease = 0.0638 × 100%

Percentage decrease = 6.38%


To give the answer to the nearest tenth of a percent, we round 6.38% to 6.4%. So, the number 47 is decreased by about 6.4% to become 44.

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PLEASE HELP will give brainliest !!
What is the median of the afternoon (PM) group? 26,21,15,35,38,16,13,28,30,25,15,12,9,7,44,23,55,10,37,35

Answers

The median of the group is 23

The median of the afternoon (PM) group is 23.

How to solve for the median

To find the median of a set of numbers, we need to arrange them in ascending order and find the middle value.

Arranging the numbers in ascending order:

7, 9, 10, 12, 13, 15, 15, 16, 21, 23, 25, 26, 28, 30, 35, 35, 37, 38, 44, 55

There are 20 numbers in the dataset, so the middle value would be the 10th number when arranged in ascending order. In this case, the median of the afternoon (PM) group is 23.

Therefore, the median of the afternoon (PM) group is 23.

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can you help out with this ​

Answers

all you have to do is plug in the 2 for x which gives you 8 as the answer
The answer is D) 8!!!!!!!!

To solve 2x + 9 = 21, what is the first step?
A.Dividing each side by 2
B.Dividing each side by x
C.Subtracting 21 from each side
D.Subtracting 9 from each side

Answers

D.) Subtracting 9 from each side.

0.00000003 in scientific notation

Answers

Answer:

3×[tex]10x^{-8}[/tex]

Step-by-step explanation:

0.00000003

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The key to solving a two-step equation is isolating the
variable on one side of the equation. In which of the
following equations is the variable isolated?
A.x = 9/2 + 4
B.2X=8
C.3x = 8 +5
D.x = 5x - 4

Answers

Answer:

A. x= 9/2+4

because the x is by itself

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A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?

Answers

Final answer:

The probability of drawing three green marbles consecutively without replacement from a bag containing different colored marbles is approximately 0.018 when calculated step by step.

Explanation:

The question is about calculating the probability of drawing three green marbles in a row from a bag that contains multiple colored marbles. To find this probability, we need to use the concept of probability without replacement.

First, calculate the probability of drawing one green marble. There are 5 green marbles out of a total of 16 (7 red + 4 blue + 5 green), so the probability is 5/16. When we draw a green marble, we do not replace it, so there are now 4 green marbles left out of 15 total marbles. The probability for the second draw is then 4/15. Lastly, for the third draw, there are 3 green marbles out of 14, making the probability 3/14.

To find the overall probability of all three events occurring, calculate the product of the individual probabilities: (5/16) * (4/15) * (3/14). This gives us 60/3360, which simplifies to 1/56. To the nearest thousandth, that is approximately 0.018.

So the probability that all three marbles drawn will be green, to the nearest thousandth, is 0.018.

which which division problem does the diagram below best illustrate?


60 points ​

Answers

Answer:

Step-by-step explanation:

32 divide 4 = 8

Answer:

B- 32 divided by 4 = 8

Step-by-step explanation:

Which value is represented by point P?
A. sqrt11
B. sqrt21
C. sqrt114
D. sqrt121​

Answers

Square root 114 represents the point p.

Given,

The point P value in the given figure is between 10 and 11.

We need to find which value in the option is represented by point P.

Given options are :

Sqrt 11 = 3.31

Sqrt 21 = 4.58

Sqrt 114 = 10.67

Sqrt 121 = 11

We need to see which option gives a value between 10 and 11.

We have,

Sqrt 114 = 10.67.

We also know that point P lies between 10 and 11.

Sqrt 114 gives a value between 10 and 11.

Thus Sqrt 114 represents the point p.

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please help
A park has a shape of a regular hexagon of sides of 2km each.Ama walks a distance of 5km along the sides of the park.What is the direct distance between the start point and the end point?​

Answers

Answer: 3.61km or √13

Step-by-step explanation:

Given Data:

Sides of hexagon = 2km each

Distance walked by Ama = 5km

Therefore;

Let Ama starting position be the origin.

With this She would travel along two edges and then go halfway along a third.

Her new x- coordinate would be

= 1 + 2 + 1/2 = 7/2

Because she travels a distance of 5km which translates to 2 and half side of the Hexagon

= 2*1/2

= 1km. On her x-coordinates

For her y-coordinate we use same principles as x-coordinates

= √3 + 0 - √3/2

= √3/2

Therefore her distance walked

= √ ( (7/2)^2 + (√ 3/2)^2 )

= √ ( 49/4 + 3/4 )

= √ 13

= 3.61km

A dart is tossed and hits the dart board shown.
The dart is equally likely to land on any point on
the dart board. Find the probability, as a percent
to the nearest tenth, that the dart lands in the
ring surrounding the bullseye.

Answers

The probability that dart lands on ring surrounding bull eye to the nearest tenth is: 4.9%

Area of ring surrounding bulleye :

πr² ; r = 2 in

Area = π×2² = 12.56 in²

Total area of dart board :

Area of square = s²

Area = 16² = 256

The probability of dart landing in ring surrounding bull eye :

12.56 / 256 = 0.004906

Expressing as a percentage:

0.004906 × 100% = 4.9%

−6≥10−8x please help me solve this!1

Answers

Inequality form: x ≥ 2

A relative frequency histogram is given with four classes. The first three bars have a height of 0.25, 0.35, and 0.1 respectively. What is the helght of
the fourth bar?​

Answers

Answer:

answer is 0.3

Step-by-step explanation:

Final answer:

To find the height of the fourth bar in a relative frequency histogram, calculate the total frequency, subtract the sum of the first three frequencies, and divide the remaining frequency by the total frequency.

Explanation:

The relative frequency histogram given has four classes. The heights of the first three bars are 0.25, 0.35, and 0.1 respectively. To find the height of the fourth bar, we need to calculate the total frequency first. Then, subtract the sum of the first three frequencies from the total frequency. Finally, divide the remaining frequency by the total frequency to get the height of the fourth bar.

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Kristen runs a website that helps people learn programming. Every month, Kristen receives a subscription fee of $10 from each of the subscribers to a website. Last month, the website had 100 subscribers. This month, 30 new members join the website, and 10 members cancel the subscription. How much money were Christians online business and this month

Answers

Answer:

$1,200

Step-by-step explanation:

Last month was $10 x 100 = $1,000

This month was $10 x 30 = $300

This month loss was $10 x 10 = $100

$1,000 + $300 = $1,300 - $100 = $1,200

Tina brought six times as many shirts as Maria. She then purchased five more while
shopping. Tina's total number of shirts by the end of the day was twenty-three. How
many did Maria bring?

3 shirts
6 shirts
11 shirts
15 shirts

Answers

Answer:

3 shirts

Step-by-step explanation:

23 - 5 = 18

18 divided by 6 = 3

What is the domain of the function y= 3Vx

Answers

Based on the graph, the domain of the function [tex]y=3\sqrt{x}[/tex] is [0, ∞].

In Mathematics and Euclidean Geometry, a domain is the set of all real numbers (x-values) for which a particular relation or function is defined.

The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [0, ∞], {x|x ≥ 0}.

Complete Question:

What is the domain of the function [tex]y=3\sqrt{x}[/tex]?

Where on a check should you write the name of the payee? A. part A B. part B C. part C

Answers

Answer:

Part a - on the line where it says pay to the order of

Step-by-step explanation:

Answer:

Part A

Step-by-step explanation:

This is for geometry and I need help...

Answers

Answer:

I would say C but i am not sure

Step-by-step explanation:

sorry if I am wrong

Find the volume of the sphere.

Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.

the radius is 10

Answers

Answer:

Step-by-step explanation:

volume of sphere=4/3 πr³

=4/3 π×10³=4000/3 π

=4000×3.14÷3=12560/3

=4186.67

If you had 3 bread.choices, 4 meat
choices and 2 cheese choices how many
different sandwiches could you make? (Try
to make a tree diagram and count the end
of your branches to get your answer.)

Answers

Answer:

I think it's 15

Step-by-step explanation:

I'm just guessing


Find the area of a circle with a radius of 8.
units?

Answers

Answer:

16

Step-by-step explanation:

Look at the attached picture

Hope it will help you

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN WHY YOURE CORRECT

Answers

is there even a correct answer?

Answer:

I believe its A

Step-by-step explanation:

You have to count the units to the subway to the house

You start by counting the squares from the subway to the right till you meet the same line as the house is located than you count up from there to the house

I got 13

Sorry if its wrong

What is the factored form of
z^2 - 2z - 3

Answers

Answer:

z=1 z=-3

Step-by-step explanation:

take z^2 times it to -3 then factor for -2 and reverse the answer

z= 3 and z=-1

D= b^2 - 4ac = 4
z1 = (-b+D)/2a = (2+4)/2x1 = 3
z2 = (-b-D)/2a = (2-4)/2x1 = -1

This net can be folded to make a square pyramid. What is the surface area of the pyramid?

Answers

Answer:  

[tex]85in^2[/tex]

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

area of the square  area of a triangle and multiply it by 4 (because there are 4 triangles)

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

[tex]a_{square}=l^2[/tex]

where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]

thus the area of the square is:

[tex]a_{square}=(5in)^2\\a_{square}=25in^2[/tex]

Area of the triangles:

the are of 1 triangle is given by

[tex]a_{triangle}=\frac{b*h}{2}[/tex]

where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)

and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]

thus, the area of 1 triangle is:

[tex]a_{triangle}=\frac{(5in)*(6in)}{2}\\ a_{triangle}=\frac{30in^2}{2}\\ a_{triangle}=15in^2[/tex]

the area of the 4 triangles is (we multiply by 4):

[tex]a_{4-triangles}=4(15in^2)\\a_{4-triangles}=60in^2[/tex]

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

[tex]Surface=25in^2+60in^2\\Surface=85in^2[/tex]

Answer:

85 square inches

Step-by-step explanation:

The decorative plaque below is going to be beaded. If beading costs $4 per square centimeter, how much will it cost to bead the plaque?

Answers

Answer:

I did all the work and i believe the answer is 153

Step-by-step explanation:

9x5=45

12x9=108

108+45=153

Answer:

pretty sure u dont need the answer anymore, i hope you dont mind me getting some points

Step-by-step explanation:

if Nicole saves $0.05 every day how much money will she have in 3 years

Answers

Answer:

$54.75

Step-by-step explanation:

0.05 x 365 = 18.35

18.25 x 3 = 54.75

Answer:

54.75

Step-by-step explanation:

To find this answer we will first take our 3 years and turn them into days instead.

There are 365 days in a year, so, 365 x 3 = 1095 days

Next, take the 1095 days and multiply it by the number she is saving everyday

1095 x .05 = 54.75

Nicole will have saved 54.75 in three years.

Hope this helps! :)

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach? 2.4 feet 6.0 feet 9.2 feet 10.8 feet

Answers

Answer:

C

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = [tex]\sqrt{10^2-4^2} =\sqrt{84}[/tex] ≈ 9.2 feet

The answer is C.

Answer:

9.2 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the ground and the tree

10² = 4² + h²

h² = 100 - 16

h² = 84

h = 9.16515139

Other Questions
Novak provides environmentally friendly lawn services for homeowners. Its operating costs are as follows. Depreciation $2,400 per month Advertising $400 per month Insurance $2,400 per month Weed and feed materials $15 per lawn Direct labor $31 per lawn Fuel $2 per lawn Novak charges $100 per treatment for the average single-family lawn. Determine the companys break-even point in number of lawns serviced per month. Break-even point enter the companys break-even point in number of lawns lawns 8x-2y=6 and 3x+3y=-24 Elan surveyed a random sample of 65 students at his high school. He asked them which subject is their first class on Mondays. There are 894students in his school.First Class Percent of StudentsEnglish17%Math28%History40%Science15%Choose two inferences that can be made from the results.O A. Approximately 17% of all students in the city have English first on Mondays.B. Approximately 28% of the students at Elan's school have Math first on Mondays.C. 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