A cylinder has a radius of 5 cm and a height of 16 cm. Another cylinder is four times as tall but has the same radius. How does the volume of the second cylinder compare to that of the first?

Answer:

Joule.

Step-by-step explanation:

Dado que las unidades empleadas son del Sistema Internacional, la unidad a emplear es el Joule, cuya definición es Newton multiplicado por metro.

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Get two points of each line

                       Line 1                   Line 2

Point A            (0, 2)                    (5, 7)

Point B             (-4, 0)                  (0, -4)

2.- Find the slope of each line

Formula          slope = m = (y2 - y1) / (x2 - x1)

Line 1               m = (7 - 2) / (5 - 0)

                        m = 5/5

                        m = 1

Line 2               m = (-4 - 0) / (0 + 4)

                        m = -4/4

                        m = -1

3.- Find the equation of the lines

Formula          y - y1 = m(x - x1)

Line 1              y - 2 = 1(x - 0)

                      y - 2 = x

                      y = x + 2

Line 2             y + 4 = -1(x - 0)

                       y + 4 = -x

                       y = -x - 4

Answer:

u=10

Step-by-step explanation:

Answer

u = 10

Step-by-step explanation:

For now we do not know what u equals, but we do know that 20/5 = 4, because 20/5 simplified is just 4 since the fraction means 20 ÷ 4. Now that we are back to the question, with 2/5; if you multiply by 10 the numerator will then be 20. And now the equation is true! Hope this helps!

Answer:

An ordinary gain of $2,000

Step-by-step explanation:

Cost of the vehicle(C)=$10,000

Depreciation(D)=$3,000

Selling price(S)=$9,000

Worth of the vehicle= Cost price - depreciation

=$10,000-3,000

=$7,000

Net worth= selling price - worth of the vehicle

=$9,000-$7,000

=$2,000

Answer:

transaction would be a profit of $ 2,000.

Step-by-step explanation:

Given:-

- The original cost of the vehicle, C = $ 10,000

- The depreciation of the vehicle until the time of selling, d = $3,000

- The price at which the vehicle is sold, S = $ 9,000

Find:-

What is result of the transaction

Solution:-

- Whenever an asset is bought the value of the asset depreciates. There are several tools and methods to estimate the amount of depreciation.

- After n years of possession of car / since manufactured the asset undergoes depreciation until its sold or salvaged.

- Here Ms Smith possessed her car for a certain amount of time t years.

- The accumulated depreciation at the time she sold her car was " d ".

- So at the point of selling her car the actual worth or value of her car was ( C* ):

                              C* = C - d

                              C* = $10,000 - $3,000

                              C* = $7,000

- Now her car's value is ( C* ). If she sells her for " S " higher than current asset worth then she will profit from it otherwise she would sustain a loss in her selling transaction. So the net asset worth she would have after selling her car would be:

                             Net Worth = S - C*

                             Net Worth = $9,000 - $ 7,000

                             Net Worth = $ 2,000

Answer: The net worth is a positive value that means she sold her car for higher value than its worth; hence, the transaction would be a profit of $ 2,000.

x= hot dogs

y= soda

Total sold

1 x + 1 y = 87 .............1

2 x 0.50 y = 78.50 .............2

Eliminate y

multiply (1)by -0.50

Multiply (2) by 1.00

-0.50 x -0.50 y = -43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 -35

y = 52

y = 52.00

x= 35 hot dogs

y= 52 soda

Final answer:

The number of hot dogs and sodas sold can be determined using a system of linear equations. By solving these equations, it was found that 35 hot dogs and 52 sodas were sold, represented as an ordered pair (35, 52).

Explanation:

Let's solve the problem of determining the number of hot dogs (x) and sodas (y) sold at a concession stand. Given that each hot dog costs $1.50 and each soda costs $0.50, and the total revenue is $78.50 for 87 items sold, we can set up two equations:

Now, let's use these equations to find x and y by substitution or elimination. If we multiply the second equation by 0.50, we get:

Subtract this new equation from the first one to eliminate y:

Now, plug x back into the second original equation:

35 + y = 87

So, y = 52 (Number of sodas sold).

The answer as an ordered pair is: (35, 52), where 35 represents the number of hot dogs sold, and 52 represents the number of sodas sold.

Answer: It will take him 319 days

Step-by-step explanation:

5742 divided by 18 = 319

Answer:

Step-by-step explanation:

If he wants to save $5,742, and is saving $18 per day, you can simply simplify $5,742 by $18 and you get 319.

Answer:

9√3

Step-by-step explanation:

that’s the simplified square root of 243 :)

here u go:

BC = 18 × 1.96

    = 35.28 ft

Therefore the distance between the pole and the tree is 35.28 ft .

Answer:

C =12.56 inches

Step-by-step explanation:

The circumference is given by

C = 2*pi*r  where r is the radius

C = 2* 3.14 * 2

C =12.56 inches

Answer:

4π

Step-by-step explanation:

The equation for circumference is 2πr

In order to find the circumference here, plug in the given radius

2π(2) = 4π

Answer:

5/2= 2 1/2 miles 2 1/2 mi x 4= 10 MPH

Step-by-step explanation:

Answer:

9.6 in an hr

Step-by-step explanation:

24 divided by 2.5

Answer:

  4m+3

Step-by-step explanation:

Helena had ...

  m +m +m +m +3

marbles. This is more easily written as ...

  4m +3 . . . . the number of Helena's marbles

Answer:

Part a) [tex]-2x(2x-5)[/tex]

Part b) [tex]3x+6[/tex]

Step-by-step explanation:

Part a)

I first determined what each piece in the rectangular array meant.

Then I wanted to figure out the height and the base length.

I know [tex]-x(x)=-x^2[/tex] so that is why I put those purple [tex]x[/tex]'s on top and purple [tex]-x[/tex]'s down alongside for the [tex]-x^2[/tex] pieces. To get [tex]x[/tex] when I already had [tex]-x[/tex], I needed to multiply by -1 which is why there is a -1 along the top where those [tex]x[/tex] pieces are.

So in the first question down the side of the box, we have [tex]-x+-x=-2x/tex].

Along the the top we have [tex]x+x-1-1-1-1-1=2x-5[/tex].

To find the area of the rectangle, you multiply height by base.

[tex]-2x(2x-5)[/tex].

Part b)We have six [tex]x^2[/tex]'s and twelve [tex]x[/tex]'s. So that means the polynomial represented here is [tex]6x^2+12x[/tex].

What happens if we divide that by [tex]2x[/tex].

Let's see:

[tex]\frac{6x^2+12x}{2x}[/tex]

[tex]\frac{6x^2}{2x}+\frac{12x}{2x}[/tex]

[tex]3x+6[/tex]

Answer:

A) 2x(2x - 5)

B) -(3x + 6)

Step-by-step explanation:

Each empty square represents: x²

Each filled rectangle represents: -x

Area is 4x² - 10x

There are two rows:

Each row is: 2x² - 5x = x(2x - 5)

Statement:

2x(2x - 5)

In b, there are 6 tiles of -x², and 12 tiles of -x, which makes it:

-6x² - 12x

-(6x² + 12x)

-(6x² + 12x)/2x

-[(6x²/2x) + (12x/2x)0

-(3x + 6)

-3x - 6

So we go up in 10's. It simply goes like this, 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200... etc.

Answer:

   1 x 10 = 10

   2 x 10 = 20

   3 x 10 = 30

   4 x 10 = 40

   5 x 10 = 50

   6 x 10 = 60

   7 x 10 = 70

   8 x 10 = 80

   9 x 10 = 90

   10 x 10 = 100

   11 x 10 = 110

   12 x 10 = 120

Step-by-step explanation:

Answer:

Step-by-step explanation:150/4 = 37.5 inches small piece

                                             150 - 37.5 = 112.5 large piece

                                             37.5 * 4 = 150

Answer: the shorter piece is 30 inches long.

the longer piece is 120 inches long.

Step-by-step explanation:

Let x represent the length of the shorter piece.

Let y represent the length of the longer piece.

A 150​-inch pipe is cut into two pieces. It means that

x + y = 150- - - - - - - -1

One piece is four times the length of the other. It means that

y = 4x

Substituting y = 4x into equation 1, it becomes

x + 4x = 150

5x = 150

x = 150/5

x = 30

y = 4x = 4 × 30

y = 120

Answer:

May 4th, 2012.

Step-by-step explanation:

The highest level can be found with the help of the First Derivative and Second Derivative Tests. First and second derivatives of the function are, respectively:

[tex]l'(t) = 0.04323\cdot t^{2}-0.8354\cdot t +2.703[/tex]

[tex]l''(t) = 0.08646\cdot t - 0.8354[/tex]

The First Derivative Tests consists on equalizing the first derivative to zero and finding the critical points.

[tex]0.04323\cdot t^{2}-0.8354\cdot t +2.703 = 0[/tex]

Roots are [tex]t_{1} \approx 15.672[/tex] and [tex]t_{2} \approx 4.077[/tex]. just the second root offer a realistic solution and is test by the second derivative.

[tex]l''(4.077) = -0.482[/tex] (which leads to a maximum).

Given that a year has 365 days or 12 months, the highest water level occurs at day:

[tex]n = \frac{4.077}{12} \cdot (365\,days)[/tex]

[tex]n \approx 124[/tex] (May 4th).

Answer:

x^2-3x-10

Step-by-step explanation:

If the zeros are -2 and 5, the equation (x+2)(x-5) is true. If you multiply those factors together you get x^2-3x-10.

Answer:

A) (x + 2)(x + 8)   B) (x + 3)(x + 4)    C) (x + 1)(x + 12)

Step-by-step explanation:

I think that you meant to put x^2 on all of them

A) You can factor out an x, an 8, and a 2.    (x + 2)(x + 8)

B) You can factor out an x, a 3, and a 4.      (x + 3)(x + 4)

C) You can factor out an x, a 12, and a 1.     (x + 1)(x + 12)

If these answers are correct, please make me Brainliest!

The Factorize value is

A)  (x + 2)(x + 8)

B)  (x + 3)(x + 4)

C)  (x + 1)(x + 12)

A number is swiftly factorised into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.

The process of dividing a number into smaller numbers that, when multiplied together, equal the original number is known as factorization.

Given:

A) x² + 10x + 16

Now, factorizing

x² + 8x + 2x  + 16

x(x+ 8)+ 2(x+8)

(x + 2)(x + 8)

B) x² + 7x + 12

Now, factorizing

x² + 3x + 4x  + 12

x(x+ 3)+ 4(x+3)

(x + 3)(x + 4)

C)  x² + 13x + 12

Now, factorizing

x² + 12x + x  + 12

x(x+ 12)+ 1(x+3)

(x + 12)(x + 1)

Learn more about factorization here:

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Answer:thousands-8         5 in the tans place

Step-by-step explanation:

Answer:

Thousands: 8

Tens: 9

Step-by-step explanation:

Thousands, Hundreds, Tens, Ones

8 Thousands, 6 Hundreds, 9 Tens, 5 Ones

Answer: The last one (C)

Step-by-step explanation: Use the rule to convert  

15

1

3

to a radical, where  

a

=

15

,  

x

=

1

, and  n = 3 .

3 √ 15

Answer:

24 ducks were swimming at the pond.

Answer:

Step-by-step explanation:

Since the number of words per page in the book is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = number of words per page.

µ = mean

σ = standard deviation

From the information given,

µ = 340 words

σ = 20 words

The probability that the number of pages in the book are less than 360 words in length is expressed as

P(x < 360)

For x = 360,

z = (360 - 340)/20 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

The percent of pages in the book that are less than 360 words in length is

0.84 × 100 = 84%

Answer:

the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Step-by-step explanation:

We are told that width is 11 feet less than length. Let Width be W and Length be L.

Thus;

W = L - 11

Area of rectangle is given by;

Area; A = 2W + 2L

Putting L - 11 for width, we have;

Area = 2(L - 11) + 2(L)

A = 2L - 22 + 2L

A = 4L - 22

Length = L

Width = W

Area = A

A =4L-22

We are told that Area is 80 square feet. Thus;

80 = 4L -22

Add 22 to both sides to give;

102 = 4L

Divide both sides by 4 to give;

102/4 = 4L/4

L = 25.5

Recall that; W = L - 11

Thus;

W = 25.5 - 11 = 14.5

So the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Answer:

See attachment

Step-by-step explanation:

A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.

B) Observe that, from 0 to 0.2 you move one units to get to 0.2.

From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.

This means that:

[tex]2 = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2[/tex]

This gives us:

[tex]2 = 0.2(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)[/tex]

Then finally we have:

[tex]2 = 0.2(10)[/tex]

By the commutative property of multiplication:

[tex]2 = 10 \times 0.2[/tex]

Answer:  i believe it is bailey

Step-by-step explanation:

bailey bought 6 note books for 10.80

thats about $1.8 per notebook

bc 10.80 ÷ 6 = 1.8

if we take steve's which is 7.28 for, four note books

thats $1.82 per note book

7.28 ÷ 4 = 1.82

then we check what it would be if he bought 6 note books.

1.82 x 6 = 10.92

so bailey got the better deal. i think dont take my word for it

Answer:

A=2.6

Step-by-step explanation:

Answer:

(67 + 45 + 84 + 55 + 73 + 36 + 80 + 62 + 38)/9 = 60

The mean number of points is 60.

Step-by-step explanation:

Add up all of the points  and divide it by the number of games played

Answer:

The scores of two school basketball teams are recorded.

Team A scored the following points per game: 67, 45, 84, 55, 73, 36, 80, 62 and 38.

Team B scored the following points per game: 72, 47, 76, 34, 98, 76, 56, 54 and 63.

Step-by-step explanation:

Answer: The rate at which mosquitoes are appearing in a field 15 days after the rainfall ended is -171. I believe this to be correct.

M'(15) = -171 means that after 15 days, the number of mosquitoes is decreasing at a rate of 171 mosquitoes per day.

The function M(t) represents the number of mosquitoes in a field after t days have passed since a major rainfall. The derivative of this function, M'(t), represents the rate of change of the number of mosquitoes.

M'(15) = -171 means that after 15 days, the number of mosquitoes is decreasing at a rate of 171 mosquitoes per day. In other words, the population of mosquitoes is declining by 171 mosquitoes each day.

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Answer:

Option 3

Step-by-step explanation:

If the radius of the can is 2 inches, then the diameter must be 4 since the diameter is 2 times the radius. So we want to make it as small as possible. I think the best option is option 3 because it is tight and it is stacked nicely. The package wrapping will not have much to go around. I hope this helps! please mark me brainliest! Thanks!

Answer:

0.83 ft

Step-by-step explanation:

If the diameter of the cylinder is 20 in, then half of that would be 10 in.

10 in is not quite a full foot, so 10/12 = 0.83 ft.