What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

Answers

Answer 1

The unfilled volume inside the cylinder is determined as 640π cubic units.

Volume of the cylinder

The volume of the cylinder is determined as follows;

V = πr²h

where;

r is radius of the cylinder given as 8 unitsh is height of the cylinder determined as 15 units

V = π(8²)(15)

V = 960 π cubic units

Volume of cone

V = ¹/₃πr²h

where;

r is radius of the cone given as 8 unitsh is slant height of the cone determined as 15 units

V = ¹/₃π(8)²(15)

V = 320 π cubic units

Unfilled volume of the cylinder

ΔV = 960 π - 320 π = 640 π cubic units

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Answer 2

Answer:

It’s C

Step-by-step explanation:

i got a 100% on my quiz so trust me

ur wlcm :)


Related Questions

come up with a scenario that models an inverse variation situation provide at least four data pairs for the situation

Answers

Best examples

Boyles law

P is inversely proportional to VP1V1=P2V

Current with resistance

I1R1=I2R2

Resistance with length of wire

R1l1=R2l2

Pressure with area

P1A1=P2A2

2 x{15 plus[24-(1.5 x2)]}

Answers

Answer:

72.

Step-by-step explanation:

2 x{15 plus[24-(1.5 x2)]}

Using PEDMAS:

= 2 x {15 + [24-(3)]}

= 2 x (15 + 21)

= 2 x 36

= 72.

17 students and 15 teachers went on a field trip to an art museum. student tickets cost $10 each, and adult tickets cost $12 each. How much did the museum tickets cost in all?

Answers

Answer:

350 dollars

Step-by-step explanation:

We're given:

17 students15 teachersStudent ticket = 10 dollarsAdult ticket = 12 dollars

First, find the total cost for student tickets:

17 students × 10 dollars = 170 dollars

Therefore, the total cost for student tickets was 170 dollars.

Now, find the total cost for adult tickets:

15 teachers × 12 dollars = 180 dollars

Therefore, the total cost for adult tickets was 180 dollars

To find the total cost for the museum tickets, find the sum:

180 + 170 = 350 dollars

Therefore, the museum tickets cost 350 dollars in total.


A paper plate has a diameter of 9 inches. What measure is closest to the area of the plate?

Answers

Answer:

63.62 inches squared

Step-by-step explanation:

The formula for the area of a circle is πr^2

r (Radius) is half of the diameter

r = 9/2

r = 4.5in

π x 4.5^2=

π x 20.25 = 63.6172512352

to 2 dp: 63.62 inches squared.

Answer:

The area of a plate with a diameter of 9 is 63.585

Step-by-step explanation:

A = πr²  use 3.14 as pi

r = [tex]\frac{1}{2}[/tex] d

[tex]\frac{1}{2}[/tex] × 9 = 4.5

r = 4.5

A = 3.14 × 4.5²

A = 3.14 × 20.25

A = 63.585

Hope this helps!

Can someone please explain this to me very detailed I don’t understand it. Please

Answers

Answer:

a140 b10

Step-by-step explanation:

a x(all the pupil)×25%=35

x=140

b. 16:y=40:25

y=16×25/40=20

Is 3/10 equivalent to 12/20 or 5/20?

Answers

Answer:

Neither?

Step-by-step explanation:

3/10 = 0.3

12/20 = 0.6

5/20 = 0.25

I would say that its up to you what you want to put.

Sorry if it doesn't help.

what are the zeros of the function below?
*EXPLANATION NEEDED*
f(x) = (x^2 - 9) (x +1)

A. -1, -3, 3
B. -1, -3, 1
C. -1, 3, 1
D. 1, -3, 3

Answers

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given below.

[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]

The function can be written as

[tex]\rm f(x) = (x^2 - 3^2) (x +1)\\\\\rm f(x) = (x - 3)(x+ 3) (x +1)[/tex]

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.

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A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .

What is the length of a line segment joining these points?

Enter your answer as a simplified mixed number in the box.

Answers

Answer:

8 7/20

Step-by-step explanation:

Converting both numbers to improper fractions :

4 3/5

⇒ (4 x 5/5) + 3/5

⇒ 20/5 + 3/5

23/5

-3 3/4

⇒ - (3 x 4/4 + 3/4)

⇒ - (12/4 + 3/4)

⇒  -15/4

Take the LCM as 20 and convert :

23/5

⇒ 23/5 x 4/4

92/20

-15/4

⇒ -15/4 x 5/5

-75/20

Now find the difference :

⇒ 92/20 - (-75/20)

⇒ 92/20 + 75/20

⇒ 92 + 75 / 20

167/20

Now convert into a mixed number :

⇒ 167/20

8 7/20

Find the difference

4-3/5-(-3-3/4)23/5+15/44(23)+5(15)/2092+75/20167/208-7/20

A class has 45 students. Each student has either 5 dollars or 2 dollars. Which Which situation results in the class having an average of 3 dollars per student

Answers

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.

can someone explain to me the letter or sign or variable after "Y"

Answers

Answer:

It is a symbol used to denote an angle (or something else)

Step-by-step explanation:

Alpha(α) is a greek letter, it's one of the letters used to denote angles. Other such letters you'll often see in math are Beta (β), Gamma (γ), Delta (δ), these are used to denote angles. Also, pi (π), which is a mathematical constant. The letters phi (φ) and theta (θ) are also used for angles very often, especially in formulas. You'll see some of these in physics too.

It can be used as variable too, not necessarily for angles, but it's mostly used for them.

Helpppp
I'll give 50 pts

Answers

Answer:

Step-by-step explanation:

Answer:

i agree with the other anwser!!

Step-by-step explanation:

What’s the next sequence

Answers

the formula for this sequence is an=2.6+(n-1)*1
recursive formula= an=a(n-1)+1.2

therefore the answer being 6.2

A goat race is 325 meters long. An ant race is 75 centimeters long.

How much longer is the goat race than the ant race in meters?

Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.


Question 2
Step 2: Determine how much longer the goat race is than the ant race in meters.

Answers

The goat race is 324.25 meters longer than the ant race .

How to find the distance differences?

The goat race is 325 meters long. The ant race is 75 centimetres long.

The goat race is in meters while the ant race is in centimetres.

Let's convert the ant race to meters.

Hence,

1 cm  = 0.01 m

75 = ?

cross multiply

Ant race = 0.75 meters

Therefore, let's find the difference between the goat race and the ant race.

325 - 0.75 = 324.25 meters.

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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.

So=75 cm ÷ 100 = 0.75 m

Step-by-step explanation:

Step 2: Determine how much longer the goat race is than the ant race in meters.  

o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.

Remember to line up the decimal points and add zeros as plac

eholders. The difference of 325 and 0.75 is 324.25.

The goat race is 324.25 meters longer than the ant race.

Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need

Answers

Answer:

480 tiles

Step-by-step explanation:

First we will find the area of Nico's backyard

Formula for area of a rectangle is length * width

24ft * 20ft = 480ft²

This means Nico will need 480 1ft² tiles

That is your answer

- Kan Academy Advance

On the same coordinate plane, mark all points (x, y) that satisfy each rule.

y = -3 -X

Show Graph!!!
100 Points!!!!!

Answers

Answer:

y=3x-2

For plotting graph we have to put some x values in above equation then we get y Ans

when x=0,y=-2

when x=1,y=1

when x=2,y=4

when x=-1, y=-5

when x=-2, y=-8

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

Find the distance between $\frac{13}{3}$ and $\sqrt{\frac{16}{9}}$ on a number line. The distance is unit.

Answers

[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]

Complete:

33/50 = ?*/100

= ?**


*answer #1
**answer #2 (answer #1 as a decimal)



thanks :)

Answers

Answer:

  66/100 = 0.66

Step-by-step explanation:

You can solve for the question mark value as though it were any other variable, or you can recognize the relationship between the numbers in the proportion.

__

solve for ?

  33/50 = ?/100

  100(33/50) = ? = 66 . . . . . multiply both sides by 100

Then we know ...

  33/50 = 66/100 = 0.66

__

recognize the relationship

  [tex]\dfrac{33}{50}=\dfrac{\text{?}}{100}\\\\\dfrac{2\cdot33}{2\cdot50}=\dfrac{66}{100}=0.66[/tex]

_____

Additional comment

Both 66/100 and 0.66 are pronounced "sixty-six hundredths".

Answer:

66/100 = 0.66

Step-by-step explanation:

Guy above and my test.

y=x^4-x^3-5x^2-x-6
Show steps

Answers

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2

Step-by-step explanation:

Answer:

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.

1 - Factor the following.

[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]

2 - First, find all factors of the constant term 6.

[tex]1, 2, 3, 6[/tex]

3 - Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]

Substitute -2 into x. Since the result is 0, x+2 is a factor..

[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]

⇒ [tex]x+2[/tex]

4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]

                                        [tex]x^3[/tex]                [tex]-3x^2[/tex]              [tex]x[/tex]           [tex]-3[/tex]

                                            --------------------------------------------------------------

[tex]x+2[/tex]                                    |   [tex]x^4[/tex]        [tex]-x^3[/tex]               [tex]-5x^2[/tex]     [tex]-x[/tex]           [tex]-6[/tex]

                                                  [tex]x^4[/tex]         [tex]2x^3[/tex]

                                                 ------------------------------------------------------------

                                               [tex]-3x^3[/tex]         [tex]-5x^2[/tex]          [tex]-x[/tex]              [tex]-6[/tex]

                                                 [tex]-3x^3[/tex]       [tex]-6x^2[/tex]

                                                   ---------------------------------------

                                                    [tex]-3x[/tex]         [tex]-6[/tex]

                                                       [tex]-3x[/tex]      [tex]-6[/tex]

                                                       ---------------

5 - Rewrite the expression using the above.

[tex]{x}^{3}-3{x}^{2}+x-3[/tex]

2) Factor out common terms in the first two terms, then in the last two terms.

[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]

3) Factor out the common term [tex]x-3[/tex].

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

Find the measure of the missing angles.

Answers

h = 68
g = 112
k = 82
m = 98

The length of a field measures 3.5 miles.

what does the length of the field measure in feet?

note: 1 mile = 5,280 feet


13,200 ft

15,840 ft

18,480 ft

21,120 ft

Answers

Answer:

18480 feet

Step-by-step explanation:

5280 feet are in a mile 3.5 ×5280=18480

My friend recently proved 0=1 and i know something is wrong but i dont know what

Answers

√a × √b = √ab

only if at atleast one among a,b is positive

here both a,b is non negative so not possible

Step-by-step explanation:

Remember when expanding radicals,

[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]

When expanding radicals into two radicals, we don't let our radicand have two negative answers.

[tex]i = \sqrt{ - 1} [/tex]

[tex] {i}^{2} = - 1[/tex]

We don't do this

[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

[tex] - 1 = 1[/tex]

there are 58 total views for the month.
Bookface averaged 24.3 views more than Snapgram. Giggle averaged 14.6 less views than Bookface.
Find how many views each site got during the month.

PLEASE ASAP THIS IS DUE TODAY! Thank you!

Answers

The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.

How to solve equation

Total views = 58

let

snapgram views = xBookface views = x + 24.3Giggle views = (x + 24.3) - 14.6

= x + 24.3 - 14.6

= x + 9.7

Total = snapgram + bookface + giggle

58 = x + (x + 24.3) + (x + 9.7)

58 = x + x + 24.3 + x + 9.7

58 = 3x + 33

3x = 58 - 34

3x = 24

x = 24/3

x = 8 views

Therefore,

snapgram views = x

= 8 views

Bookface views = x + 24.3

= 8 + 24.3

= 32.3 views

Giggle views = x + 9.7

= 8 + 9.7

= 17.7 views

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The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.

Answers

Original value =£120000
Increased value=192000-120000=72000
%increased = (72000/120000)*100%=60%
Answer is 60% increase

y=-2x+8
y=x-7
solved by graphing

Answers

Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph

Tegan is checking her tax bill for the last year
the tax rates were as follows:
•no tax on the first £11000 of earnings
•earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
•earnings in excess of £43000 and up to £150000 taxed at the rate of 40%
last year Tegan earned £48300 before tax
how much did she pay in total?

Answers

Multiplication is the process of multiplying. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Since there is no tax for the first £11,000, therefore, the earnings upto £11,000 will be tax-free.

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Answer:

£8520

Step-by-step explanation:

I need help what is (4÷5×x) what I x​

Answers

Answer:

0.8x

Step-by-step explanation:

According to BODMAS,

Step 1 :

4 ÷ 5

= 4 / 5

= 0.8

Step 2 : Multiply x.

0.8 * x = 0.8x

Answer:

Step one

4 ÷ 5

= 4/5

= 0.8

Step two = 0.8 * x

= 0.8x

Help meee pleaseeeeeeee

Answers

Answer:

The answer to this question is letter choice E. 25%.

Step-by-step explanation:

Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.

Label the X-axis and yaxis ​

Answers

Answer:

The y axis is the vertical line which goes up and down the x axis is the horizantal line which goes side to side or straight across

Step-by-step explanation:

horizontal (left to right) axis is the x axis
and the vertical (up and down) axis is called the y axis

Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24, ...

Answers

Answer:

S₂₀₀ = 121800

Step-by-step explanation:

the sum to n term of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 12 and d = a₂ - a₁ = 18 - 12 = 6 , then

S₂₀₀ = [tex]\frac{200}{2}[/tex] [ (2 × 12) + (199 × 6) ]

       = 100(24 + 1194)

      = 100 ×1218

     = 121800

A certain pond has a minnow population of 20,000, and the population of minnows is increasing at a rate of 5% per year. The algae that the minnows eat is diminishing due to an excess amount of UV light, and the number of minnows it can support is shrinking by 750 each year. How is the population of minnows growing, and how is the supply of algae declining

Answers

Answer:

20000(.05)^x-750

Step-by-step explanation:

That's the equation for figuring out the population

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