The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder has the same base area and height. What is the volume of the cylinder?

Answer:

217945728000 ways

Step-by-step explanation:

Given

[tex]Books = 12[/tex] --- 1 dozen

[tex]Shelf = 4[/tex]

The given condition implies that;

[tex]Book\ 1 = 4[/tex] ---- any of the 4 shelves

[tex]Book\ 2 = 5[/tex] --- any of the 4 shelves and either ways of book 1

[tex]Book\ 3 = 6[/tex]  --- any of the 4 shelves and either ways of book 1 and 2

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

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

----------

So, the number of ways is:

[tex]Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15[/tex]

[tex]Ways = 217945728000[/tex]

Answer:

x = 6

Step-by-step explanation:

3x - 6 = 12

3x = 18

x = [tex]\frac{18}{3}[/tex]

x = 6

Answer:

7

Step-by-step explanation:

Answer: 7

Step-by-step explanation: 63 divided by 9 is 7, so Ms. Allgood can give all her 9 students 7 books each

The limit as g(x) approaches 11 doesn't exist.

[tex]\lim_{x \to 11} g(x) = DNE[/tex]

It looks like you are working with the following piecewise defined function:

[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]

if and only if this is true, then:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

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Answer:

D) DNE

Step-by-step explanation:

edge 2021

Answer:

30 degrees

Step-by-step explanation:

<ACB is a central angle while <ADB is an inscribed angle.

Central angles are twice the size of inscribed angles.

Therefore, <ADB*2 = <ACB . 15*2=30

Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

For any given function f(z), it is analytic and not constant throughout a domain D

To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z)  is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

F₁(z)=f(z)-ω₀

3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.

5-Replacing value of F₁(z) in the above gives:

F₁(z)≡0 in domain D

f(z)-ω₀≡0 in domain D

f(z)≡0+ω₀ in domain D

f(z)≡ω₀ in domain D

So this indicates that the value of f(z) for all values in domain D is a constant  ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

Answer:

4.32

Step-by-step explanation:

The steps required are:

         4.322

1.476 )6.380

          5.904

          ____

          0.476

              0.4763

              0.4428

              _____

              0.0335

                  0.03358

                  0.02952

                  _____

                  0.00406

                     0.004060

                     0.002952

                     _____

                     0.0011080

Therefore, the answer is 4.32.

Answer:

96

Step-by-step explanation:

Its a pattern :) BTW can you help with mine please

Answer:

364yd^2

Step-by-step explanation:

LxWxH

Answer:

its 364

Step-by-step explanation:

you do length times width times height

Answer:

K enejwjwjenenw

Step-by-step explanation:

Serey mejw catttsn keesuyboard

Answer:

480

Step-by-step explanation:

Answer:

673.8

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

70 yd²

Step-by-step explanation:

Area of triangle = (1/2)(base)(perpendicular height)

= (1/2)(20)(7)

= 70 yd²

Answer:

length =  18yd

Width = 10yd

Step-by-step explanation:

Complete question

A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 180 square yards. Find the length and the width.

Area of the parking lot - length * width

A = LW

Given

Area = 180sq. yd

If the parking lot has a length that is 8 yards greater than the width, then;

L = 8 + W

The area becomes;

A = (8+W)W

180 = 8W+W²

W²+8W - 180 = 0

W²+18W-10W - 180 = 0

W(W+18)-10(W+18) = 0

(W-10)(W+18) = 0

W-10 = 0

W = 10yd

Since L = 8 + W

L = 8 + 10

L = 18yd

Hence the length and the width area 18yd and 10yd respectively

Answer:

A.) Function one has a larger maximum at (4,1)

Step-by-step explanation:

The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A function can be regarded as a computer, which is helpful.

Given 1 function,

f(x) = -x² + 8x - 15  

f(x) = -(x² - 8x + 15 )

f(x) = - [(x - 4)² - 16 + 15 ]

f(x) = -(x-4)² + 1

So vertex will at ( 4,1 )

In function 2,

f(x) =  −x² + 2x − 3

f(x) = - [ x² - 2x + 3 ]

f(x) = -[ (x-1)² - 1 + 3 ]

f(x) = - (x-1)² - 2

So vertex will at ( 1, -2 )

Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2

Hence Function 1 has the larger maximum at (4, 1).

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Answer:

need points

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST true for ALL combinations

12 +8    IS NOT greater than 20

4x +2x+2 +x+3 = 40

7x +5=40

7x =3 5

x=5

side 4x  =  20

side x+3 = 8

side 2x+2 = 12

            20 +8 is bigger than 12

             20+12 is   bigger than 8

             12 + 8  IS NOT BIGGER than 20  (it's just the same)

Answer:

NK=12

Step-by-step explanation:

x^2 +9^2=15^2

x^2+81=225

subtract 81

x^2=144

x=12

(This is only for number 13, I don't know the answer to 14-16)

Using the Pythagoras theorem, the value of NK is 12.

The sum of the squares of the lengths of the other two sides of a right triangle equals the square of the hypotenuse's length.

It is given that, NL=9, and KL=15.

Use the Pythagoras theorem,

[tex]& \Rightarrow {{15}^{2}}=N{{K}^{2}}+{{9}^{2}} \\ & \Rightarrow 225-81=N{{K}^{2}} \\ & \Rightarrow NK=\sqrt{144} \\ & \Rightarrow NK=12 \\[/tex]

Therefore, the value of NK is 12.

Learn more about the Pythagoras theorem, here

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Answer:

85 cm

I have to use 20 characters to answer so extra space here :/

Answer:

okAy

Step-by-step explanation:

hypo(square) = altitude(square)+base,(square)

so hypo(square) =300(square)+400(square)

Answer:

500

Step-by-step explanation:

300² + 400² = 500²

pythagorean theorem

Answer:

Answer B will be the best answer for your question.

Step-by-step explanation:

Polygons usually have straight sides, but this one does not.

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

Answer:

B

Step-by-step explanation:

Calculated

As per the data, f and g are reflections of each other about the y-axis. The correct option is A.

To graph is to create a diagram that depicts a relationship between two or more things. A graph can be made by drawing a series of bars on graph paper.

A graph (also known as an undirected graph to distinguish it from a directed graph or a simple graph to distinguish it from a multigraph) is a pair G = (V, E), where V is a set with vertices (singular: vertex) and E is a set of paired vertices with edges.

The relationship between the graphs of f(x) = -5/x and g(x) = 5/x is that they are reflections of each other about the y-axis.

To see this, note that replacing x with -x in f(x) gives f(-x) = -5/(-x) = 5/x, which is the same as g(x). Therefore, the graphs of f(x) and g(x) are symmetric with respect to the y-axis.

Thus, the correct option is A.

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Your question seems incomplete, the probable complete question is:

State the relationship between the graphs of f(x) and g (x)

f(x) = -5/x, g )x) 5/x

a. f and g are reflections of each other about the y-axis.

b. f and g are reflections of each other about the x-axis.

c. g is shifted to the left 5 units relative to f, otherwise they are the same.

d. g is shifted to the right 5 units relative to f, otherwise they are the same.

the answer would be 0.9583

Answer:

Third one

Step-by-step explanation:

In geometric sequence, the graph must have one slope

The graphs could be a representation of a geometric

sequence are given by option (A), option (B) and option (D)

"It is a sequence in which the ratio between consecutive terms is equal."

For given question,

We need to identify the graphs that could be a representation of a geometric sequence.

A sequence [tex]a_1,a_2,...,a_n[/tex] is geometric sequence if [tex]\frac{a_2}{a_1}=r[/tex],

[tex]\frac{a_3}{a_2}=r[/tex],. . .,  [tex]\frac{a_n}{a_{n-1}} = r[/tex]

This means, for geometric sequence the number being multiplied each time is constant.

And the geometric sequence is of the form

[tex]a_1,(a_1r),(a_1r^2),...[/tex]

If we graph the geometric sequence then it would be non-linear.

From above pattern of geometric sequence, we can say that the graph of the geometric sequence is exponential in nature.

Therefore, the graphs could be a representation of a geometric

sequence are given by option (A), option (B) and option (D)

Learn more about the geometric sequence here:

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