Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *

Describe How Multiplying All The Linear Dimensions Of A Cone By Onefourth Affects The Volume Of The Solid.

Answers

Answer 1

Answer:[tex]\frac{1}{64}^{th}[/tex]

Step-by-step explanation:

Given

Suppose V is the original volume of cone having r as radius and h as height

If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]

the [tex]r'=\frac{r}{4}[/tex]

[tex]h'=\frac{h}{4}[/tex]

Therefore new volume is

[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]

[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]

[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]

[tex]V'=\frac{V}{64}[/tex]

So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one


Related Questions

Round 69.65 to the nearest whole number.
A) 69
B) 69.7
C) 70
D) 70.6

Answers

Answer:

70

Step-by-step explanation:

69.65

We look at the tenths place to determine if we round up or leave it alone

.6 is greater then or equal to five so we need to round the 9 up

69.65 rounds to 70

Answer:

C

Step-by-step explanation:

Rounding 69.65 to the whole number would be 70

Write 4x^4 + x^6 - 3+ 6x^8 in standard form.

Answers

Answer:

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Step-by-step explanation:

Rewrite this in descending order by powers of x:

6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0

or

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?

Perimeter:

Area:

Answers

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

Answer:

Perimeter: 63 inches

Area : 243 square inches  

Step-by-step explanation:

Hi, to answer this question w eave to apply the next formulas:

Perimeter of a rectangle: (2 x width) + (2 x length )

Area of a rectangle: width x length

Replacing with the values given:

Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches

Area = 18 x 13.5 = 243 square inches  

Feel free to ask for more if needed or if you did not understand something.

find the value of x in the following..... 3^x = 8​

Answers

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893

What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?

Answers

Answer:

x=1

Step-by-step explanation:

just use this app called photomath its free on apple and gives you answers.

Answer:  x = 1

Step-by-step explanation:

–x + (–1) = 3x + (–5)

−x−1−3x=3x−5−3x

−4x−1=−5

Add 1 to both sides.

−4x−1+1=−5+1

−4x=−4

Divide both sides by -4.

x = 1

Hope this helps :)

You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.

Answers

Answer:

69.8%

Step-by-step explanation:

The weekly interest rate is computed using 52 weeks a year as per standard investment practice.

FV=PV*(1+r/52)^n*52

FV is the future value of $2000

PV is the present worth of $1,000

r is the unknown

n is the number of years which is 1

2000=1000*(1+r/52)^1*52

divide both sides by 1000

2000/1000=(1+r/52)^52

divide the index of the both sides by 52

(2000/1000)^(1/52)=1+r/52

1.013418991 =1+r/52

r/52=1.013418991 -1

r/52=0.013418991

r=0.013418991 *52=69.8%

Answer:

4%

Step-by-step explanation:

not really sure if thats right but i hopes it helps

What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?

Answers

Answer:

i cant answer that i'm only in 8th

PLS HELP ME
M^2- 7m+1 ?

Answers

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

(m-1)^2-([tex]\sqrt{5m}[/tex])^2

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

4,250,000 written in word form

Answers

Four million two hundred fifty thousand

Answer: four million two hundred fifty thousand.

Step-by-step explanation:

Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?

Answers

Answer:

Yes

Step-by-step explanation:

-20.33 is rational. It has a terminating decimal.

Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.

-20.33 = [tex]-20\frac{33}{100}[/tex]

can someone help? 25 points

Answers

Answer:

Triangle A: acute

Triangle B: acute

Triangle C: obtuse

Triangle D: right

Step-by-step explanation:

acute= less than 90 degrees each angle

obtuse=more than 90 degrees for one angle

right=equal exactly 90 degrees for one angle

Answer:

A=Acute

B. Acute

C.Obtuse

D.Right

Step-by-step explanation:

a,and b, and  are acute becuase there angles are less than 90 degrees.

d is obtuse beucase the angleismore than 90 degrees

D is right beucase the angle is 90 degrees and it hasthat square in the corner.

a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length

Answers

Answer:

2x+2(x+5)) = 24

Step-by-step explanation:

2x+ 2(x+5) = 24

x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.

A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.

Answers

Answer:

6

Step-by-step explanation:

Can someone help me on this?

Answers

Answer:

B

Step-by-step explanation:

asdddddddddddddddddddddddddddddddsdasdasdasdasdas

Answer:

b

Step-by-step explanation:

Math isnt my strong suit..

Answers

1) B, 2) E, 3)C, 4)A, 5)D

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

What is the surface area of the square pyramid?

Answers

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *

Answers

Answer:

8N-2=33+N

Step-by-step explanation:

Find the area

Please help me thank you!

Answers

The answer to your question is 20

Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?

Answers

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?

Answers

Answer: 8

Step-by-step explanation:

Ella tiene que bajar los 6 pisos, mas 2.

6+2=8

The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?

Answers

Answer:

a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel

b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute

Step-by-step explanation:

a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.

Mathematically, the volume of a cylinder;

V = π * r^2 * h

where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case

h is the length here(in place of the conventional height) = 46.9 meters

π = 22/7

Plugging these values into the equation, we have;

V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel

Since 1 m^3 = 1000 liters

then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)

b. Now we want to know the rate at which the fuel is used

What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied

That would be = 2,600,136/8.5 = 305,898.35 liters/minute

You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.



help and thanks!!

Answers

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

Answer:

The answer is 1/6

Step-by-step explanation:

This is because the dice has 6 sides so the possibility of getting a even is 1/6

a. 9
b. 10
c. 16
d. 17

Answers

The answer should be A. 9 .

what is absolute diviation

Answers

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Which expression has the same value as 5(4x+4)

Answers

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4
8
12
24

Answers

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

In the diagram, the lines dividing the parking spaces are parallel. What must be true about <1 and <2? What theorem supports your conclusion?

Answers

Answer:

Option B.

Step-by-step explanation:

Given question is incomplete; find the question in the attachment.

Given figure shows the parking spaces are divided by the parallel lines.

Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.

By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.

Therefore, Option B. will be the answer.

NEED HELP! ASAP PLEASE!

Answers

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?

Answers

find interest and subtract it from 30,000

Other Questions
It would take a long time to read the lady, or the tiger? aloud, but this film tells entire story and under two minutes. What technique does the films director use? Sage wants to order an ice-cream sundae.The ice-cream parlor allows customers tochoose from 10 ice-cream flavors, 4 sauces,and 4 toppings. How many combinations ofice-cream sundaes could Sage choose from?Enter the correct answer.DONE What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft Which point lies on the y-axis Plz help me I dont really understand this topic What type of mutation has occurred?Below are two sequences of a segment of DNA.Normal sequence TGA CAC TAGMutated sequence TGA CCT AGDeletion mutationNonsense mutationInsertion mutationSubstitution mutation After brushing, Fluffy's fur has a charge of +8.0 x 10' coulombs and her plastic brush has a charge of -1.4 x 10-8 coulombs. If the distance between the fur andbrush is roughly 5.0 * 10 meters, what is the approximate magnitude of the force between them?(k = 9.0 * 10 newtonmeters/coulomb?)A 5.0 x 106 newtonsB.2.0 x 10-4 newtonsC4.0 x 106 newtonsD. 2.5 x 10 newtonsResetNext2020 Edmentum. All rights reserved.SUS Year20062008201020152018Value ($)4504182553853001. Using linear regression, write an equation for the line of bestfit to represent the value of the card, y, in years since 2006, r.Round to the nearest hundredth where necessary. Use yourequation to find the value of the card in 2030. A angle has late of 5 and 2 cm write the possible third number The quotient of 40 and the product of a number and -8 An electric motor converts electrical energy into energy. in the morning it takes father half an hour to dress, 15 minutes to eat breakfast, and 10 minutes to fix his lunch. if he starts at 7:00, what time will it be ready to leave to work? In Oliver Twist Charles Dickens uses what The lower risk you are as a borrower,A) the better the terms of your loan will be.B) the higher the interest rate you will be chargedC) the longer you can take to pay off the loan.D) the less likely you are to get a loan. I WILL GIVE BRAINLYIST IF CORRECTA ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot. Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victorwrites the equation below to help him determine x, the additional amount that he needs tosave to have enough to buy the bicycle.89.25 + 129.85 = 2Does Victor's equation correctly model the problem? Click the arrows to choose an answer fromeach menuAn equation that correctly represents this problem can show that the sum of theChoose.and theChoose...is equalto theChooseThe equation Choose...models this situation correctly. Victor's equation isChooseWILL MARK BRAINLIEST 5x + 8 = ______, when x = 4 how do i write 4 2/3 as a fraction greater than 1 The actual exchange of gas occurs at the What happens when kmno4 is heated