Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B? (5 points)



Question 6 options:

1)

Cylinder B is 50% smaller than cylinder A.


2)

Cylinder B is 25% smaller than cylinder A.


3)

Cylinder B is 150% bigger than cylinder A.


4)

Cylinder B is 200% bigger than cylinder A.

Answer:

in = - 9.5

Step-by-step explanation:

- 9.5 × 2 = -19

-19 - 1 = -20

Answer:

$28

Step-by-step explanation:

cp=20

mp=20%ofcp

=20/100*20

=8

now,

sp=mp+cp

=8+20

=28

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Answer:

336

Step-by-step explanation:

The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.

Therefore:

5! = 5 x 4 x 3 x 2 x 1 = 120.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

8!/5! = 40320/120

40320/120 = 336

9514 1404 393

Answer:

  cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

  UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

  UQ = 24 cm

Then TQ is ...

  TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

  cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

  cos(x°) = 6/10 = 3/5

  cos(x°) = 3/5 = 0.6

Answer:

$18.63

Step-by-step explanation:

15% of 45 is equal to 45 times .15, which is equal to 6.75.

45+6.75 = 51.75

Ben resold the guitar for $51.75

36% of 51.75 is equal to 51.75*.36 or 18.63

Ben spent $18.63 on books

2/5 ≤ x-4

0.4 ≤ x-4

let's just add 4 on both sides

0.4 +4 ≤ x-4 +4

4.4 ≤ x

simple as that. just handle inequalities like you would handle equations

Answer:

(x+2)(3x-1)

Step-by-step explanation:

3x^2 + 5x -2

we need two numbers which gives 6 when multiplied and 5 when subtracted.

so the numbers are 6 and 1 because 6*1=6 and 6-1 =5.S0,

3x^2 + (6-1)x -2

3x^2 +6x -x -2

take common from first two terms and from third and fourth term

3x(x+2) -1(x+2)

take (x+2) as common

(x+2)(3x*1 -1*1)

(x+2)(3x-1)

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

Solution:

We have,

Distance = 150 km

Time = 3 hours.

In this case speed is the unit rate.

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Substituting the given values, we get

[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]

[tex]Speed=50\text{ km/h}[/tex]

Therefore, the unit rate is 50 km/h.

Answer:

118

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.

Mode is a measure of central tendency

118 appears 3 times while others appear once so it is the mode

[tex]\displaystyle\bf 4x^2+3=-7x\\\\4x^2+7x+3=0 \\D=49-48=1 \\\\x_{1;2}=\frac{-7\pm1}{8} => x_1=-1\quad ; \quad x_2=-\frac{3}{4} \\\\\\Answer:\boxed{x_1=-1\quad ; \quad x_2=-\frac{3}{4} }[/tex]

Answer:

x = 60

Step-by-step explanation:

The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.

Answer:

the length of the rectangle times the wedth of the rectangele by 2

Answer:

11

Step-by-step explanation:

w

The y intercept is 3 and the x intercepts are +1.3 and -1.3

The graph is given below.

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

Here, we have,

h(x)=-x^4 +3

so, The y intercept is 3 and the x intercepts are +1.3 and -1.3

The graph is given below.

To learn more on graph click:

brainly.com/question/17267403

#SPJ2

Answer:

B

Step-by-step explanation:

r^2 is 0.9997, and after 10 years it'll be 95660

40% of 34 000

40/100 * 34 000 = 13 600

subtract : 34000 - 13 600 = 20 400

10% of 20 400

10/100 * 20 400 = 2040

subtract : 20 400 - 2040 = $ 18 360

Answer:

x²+4² =8²

x²+16 =64

x² =64-16.

x² =48

x. =√48

answer is option D

Answer:

D

Step-by-step explanation:

The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex] → D

Answer:

(10,6)

There are 10 sheep and 6 chickens.

Step-by-step explanation:

Let y represent the number of chickens.

Let x represent the number of sheep.

1) Form a system of equations

"There are 16 animals in total"

⇒ [tex]x+y=16[/tex]

"The number of chickens is 4 less than the number of sheep"

⇒ [tex]y=x-4[/tex]

2) Substitute equation 2 into equation 1

[tex]x+(x-4)=16[/tex]

Solve for x

[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]

Therefore, there are 10 sheep.

3) Solve for y

[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]

Therefore, there are 6 chickens.

The ordered pair (10,6) represents the number of chickens and sheep.

I hope this helps!

Answer:

r

Step-by-step explanation:

Answer:

$52 is the sale price.

Step-by-step explanation:

First find 35% of $80. Multiply .35 x 80 to do this.

.35 x 80 = 28

Then subtract 28 from the original price 80.

80 - 28 = 52

Answer:

(x−1)(x−2)

Step-by-step explanation:

Answer:

50 + 12.5 v ≥ 210

She needs at least 13 visits

Step-by-step explanation:

points for signing up + points per visit* number of visits ≥  210

50 + 12.5 v ≥ 210

Subtract 50 from each side

50 + 12.5 v -50 ≥ 210-50

12.5 v ≥ 160

Divide by 12.5

12.5 v/12.5 ≥ 160/12.5

v ≥ 12.8

She needs at least 13 visits

Answer:

Step-by-step explanation:

Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree:  

3

Leading Term:  

8x^3

Leading Coefficient:  

8

Step-by-step explanation:

Answer:

[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Step-by-step explanation:

In this problem, we will use the following formula:

Step 1: Plug in for C and r.

Step 2: Solve.

Final answer (simplified & exact):  [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!

Answer:

10

Step-by-step explanation:

<3

Answer:

x = 2

y = 7

Step-by-step explanation:

Graphing calculators are everywhere but ok.

I attached a graph.

Answer:

True

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.