Find the value of z if the volume of the cylinder is 1696.5m^3 use 3.14 for pi and round your answer to the nearest whole number.

Find The Value Of Z If The Volume Of The Cylinder Is 1696.5m^3 Use 3.14 For Pi And Round Your Answer

Answers

Answer 1

Answer:

  6 m

Step-by-step explanation:

The missing dimension can be found using the volume formula with the known values filled in. This gives an equation that can be solved for z.

The volume of a cylinder is given by the formula ...

  V = πr²h

__

Using the given values, we have ...

  1696.5 m³ = 3.14(z²)(15 m)

  z² = (1696.5 m³)/(47.1 m) ≈ 36.0191 m² . . . . divide by 47.1 m

Taking the square root, we find z to be ...

  z ≈ √(36.0191 m²) ≈ 6.00 m

The value of z is about 6 m.


Related Questions

Seleccione el número que se puede
describir mejor como enteros.

Answers

the second one

Step-by-step explanation:

P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.

Answers

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

[tex]T_{n} = 4n -2[/tex]

[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]

After arguing for two weeks, melissa convinced her parents to have her birthday party at flyzone trampoline park. as soon as she gets there, melissa spends time practicing flips on the trampolines. then, she spends 1/2 of an hour eating birthday cake with her friends. in all, melissa spends 1/4 hours at flyzone.

Answers

The amount of time that Nora practices flips is; t = 1 ¹/₄

How to Solve Algebra problems?

We are told that;

Nora spends time practicing flips on the trampolines. Let this be t.

Then, she spends 1/2 of an hour eating birthday cake with her friends.

Thus, total amount of time spent on flips and eating with her friends is;

t + ¹/₂ = 1 ³/₄

t = 1 ³/₄ - ¹/₂

t = 1 ¹/₄

Complete Question is;

After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?

Solve this equation for (t) to find the amount of time Nora practices flips

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Anyone know the answer

Answers

Step-by-step explanation:

-2g(1+g)

-2g - 2g²

(-2)g - (2)g²

Find Median of 10,12,14 and 16

Answers

Step-by-step explanation:

the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).

with an even number of data points that is not directly possible to find.

in this case the 2 middle values are taken and their mean value is the median.

in our case, the 2 middle values are 12 and 14.

their mean value is

(12+14)/2 = 26/2 = 13

so,

13 is the median (even though if is not a data point itself).

Stock for the jones corporation starts with a value of $39.63 and gains $0.30 in value per month. stock for the overton company starts with a value of $24.45 and gains $0.80 in value per month. when are the two stocks nearly equal in value?

Answers

Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Each of the stocks can be modeled by these following functions:

S1(t) = 39.63 + 0.3t.S2(t) = 24.45 + 0.8t.

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

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Which system has no solutions? x < 3 x < 1 x > 3 x > 1 x < 3 x > 1 x > 3 x < 1

Answers

The system of inequalities with no solution is x > 3 x < 1

How to determine the system with no solutions?

The systems of inequalities are given as:

x < 3 x < 1

x > 3 x > 1

x < 3 x > 1

x > 3 x < 1

As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.

This means that if x is greater than 3, then it must be greater than 1

Hence, the system of inequalities with no solution is x > 3 x < 1

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A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?

Answers

Step-by-step explanation:

they are independent systems, so in case of an emergency both systems will activate.

this is like rolling 2 dice and asking for the probability that both will show 1.

the probability that both will fail is the product of the individual probabilities for failure :

0.01 × 0.03 = 0.0003

so, the third answer option is correct.

FYI - the probability for 2 dice to both roll 1 is

1/6 × 1/6 = 1/36

Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300. How much money will she make in all over 4 weeks

Answers

The amount of money that Suzie will make over the four weeks is; $1856

How to find amount of profit made?

Suzie will make a profit of:

The first week =  $300

The second week =  (300 * 30%) + 300 = $390

The third week = 390 * (1430%) = $507

The fourth week: 507 × (1430%) = $659.1

Thus, Sum of profit = $300 + $390 + $507 + $659.1

Sum of Profit = $1856.1 ≈ $1856

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A study was conducted about the number of miles that a sample of automobiles in New York City drive within a year. The sample was taken in front of an apartment complex and included 20 taxicab drivers and 40 of the building’s residents. Which is a reasonable explanation for the large gap in the histogram?

Answers

The histogram includes data from a voluntary response sample which is not representative of the population.

How to interpret Histograms?

A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.

From the histogram attached, we can see that there is a huge gap from around 17000 miles to 32500 miles.

Now, when we have this kind of gap it means that the histogram includes data from a voluntary response sample which is not representative of the population.

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11/12 - 7/9
5/36
5/72
25/36
25/72

Answers

  c

Step-by-step explanation:

please answer thank you!

Answers

Answer:

1. Median:70, Range:12, IQR: 8

2. Median: 59, Range: 48, IQR: 31

Step-by-step explanation:

Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.

The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.

Hope this helps.

if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be

Answers

The image of the point after the reflection across the x-axis is (8,5)

How to determine the image of the point?

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

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Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]

Answers

Answer:

Sorry

Step-by-step explanation:

I not know this one

Question 21 of 25
f(x) = 3x + 2
What is f(5)?
OA. 17
OB. 15
OC. 10
01

Answers

Answer:

A. 17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5) + 2

= 15 +2

= 17

The answer should be A.17
;)

Satoranaing
19100
Points C, D, and G lie on plane X. Points E and F lie on
plane Y.
X
B
A
Y
Intro
E
D
G
F
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
There is exactly one plane that contains points E, F,
and B.
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and F.
Done

Answers

The statements that are true about the given points on the line are; Options B, C and D

How to identify points on a Plane?

A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.

Let us check each of the given options;

A) There are exactly two planes that contain points A, B, and F;

If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.

Since we can't make two planes with them, then the statement is false.

B) There is exactly one plane that contains points E, F, and B;

Due to the same reasoning in part A, the statement is true assuming the points are not collinear.

C) The line that can be drawn through points C and G would lie in plane X;

The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.

D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.

E) The only points that can lie on plane Y are points E and F.

This statement is false because infinite points can lie on a plane.

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The equation of a circle is given below:

x squared minus 4 x plus y squared minus 6 y minus 7 equals 0

Identify the center and radius of the circle.

Group of answer choices

Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20

Center: left parenthesis 4 comma minus 6 right parenthesis
Radius: 2 square root of 5

Center: left parenthesis negative 4 comma 6 right parenthesis
Radius: 20

Center: left parenthesis 2 comma 3 right parenthesis
Radius: 2 square root of 5

Answers

Given:

The equation of the circle is

We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation  to determine the center.

The given equation can be written as,

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation  to determine the radius.

Hence, the given equation can be written as,

Comparing the two equation, we get;

Thus, the radius of the circle is 8

DILATE TRIANGLES URGENTTTTTT
photo is inserted so work from that, the original triangle is the one in blue.

Answers

The Dilation is 0.76

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

Dilation or scale factor=  Dimension of new shape/ dimension of old shape

= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)

= 8.3/10.9

= 0.76

Hence, the scale factor is 0.76.

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11. 6.2 m B 1.8m Calculate the value of x. NOT TO SCALE​

Answers

Answer:

24.19

Step-by-step explanation:

[tex] \tan(x) = \frac{6.2}{13.8} \\ x = { \tan}^{1} \frac{6.2}{13.8} \\ x = 24.19320899[/tex]

or the value of x can be 24.20

complete the proof and tell me how to come up with the answer please ASAP

Answers

Step 4 is the reason SSS

Which of the following best describes AD?
OA. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
B
17
D
17
C

Answers

Answer:

see the attachment photo!

just comment here if you need help

The best description about the line AD is,

⇒ Perpendicular bisector

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now, We have by figure;

BD = 17

DC = 17

Hence, We can say that;

Line AD is Perpendicular bisector of line BC.

Thus, The best description about the line AD is,

⇒ Perpendicular bisector

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A dog eats 3 cans of dog food in 12 days. Write an equation to represent th
proportional relationship. Then find k, the constant of proportionality.
Let c =
Let d =
Equation:
= k•
k=-

Answers

The equation to represent the proportional relationship is c = 0.25d

How to determine the equation?

Let c = the number of cans

Let d = the number of days

So, we have:

c = kd

Where k represents the constant of proportionality.

From the given parameters, we have:

3 = 12k

Divide both sides by 12

k = 0.25

Substitute k = 0.25 in c = kd

c = 0.25d

Hence, the equation to represent the proportional relationship is c = 0.25d

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From your observation : x⁰=​

Answers

Answer:

=1

Step-by-step explanation:

Evaluate -6y - 5 for y = 1/2

Answers

Answer:

15

Step-by-step explanation:

-6y-5

Substitute 1/2 for y.

-6y-5

-6(1/2)-5

-3(-5)

15

10 more than w is equal to 40 what is the expression

Answers

Answer:

w + 10 = 40

Step-by-step explanation:

10 more than w is w + 10 is equal to 40 is =40

w + 10 = 40

Please mark as brainliest.

Answer:

10 + w = 40

Step-by-step explanation:

10 more than w is equal to 40 what is the expression

10 + w = 40                 is the expression

w = 40 - 10

w = 30                        is the solution

Which expression is equivalent to -6(-2+2x)?
O −4-12%
O −4+2%
O 4-12%
O 4+12%

Answers

-6(-2+2x)

Use distributive law

a(b+c)=ab+ac

-6(-2)-6(2x)12-12x12(1-x)

Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute

Answers

The minimum target heart rate for a person 20 years old is 120 beats per minute

How to predict the minimum target heart rate?

The equation of the function is given as:

y = -0.6x + 132

Where x represents the age, and y represents the minimum target heart rate

From the question, we have:

x = 20

Substitute x = 20 in y = -0.6x + 132

This gives

y = -0.6 *20 + 132

Evaluate

y = 120

Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute

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Answer:

Answer is 120 !!

Step-by-step explanation:

~Hope this helps! :)

The value of p in the equation 2p - 3 = p + 2 Is ​

Answers

Answer:

p = 5

Step-by-step explanation:

Given equation:

2p - 3 = p+2

To Find:

Value of p

Soln:

2p - 3 = p + 2

Subtract p from both sides:

=>2p-3−p = p+2-p

=>p-3 = 2

Add 3 to both sides:

=>p−3+3 = 2+3

=>p = 5

Hence,the value of p would be 5.

We can plug the value we got to the original equation to verify:

=> 2p - 3 = p + 2

p = 5

=> 2(5) -3 = 5 + 2

[Make sure to simplify using PEMDAS]

=> 10 - 3 = 7

=> 7 = 7 [Proved]

Hence,this equation is true.

[tex]\rule{225pt}{2pt}[/tex]

Acronym PEMDAS rule means:

P:ParenthesesE:ExponentsM:MultiplicationD:DivisionA:AdditionS:Subtraction

Answer:

p = 5

Step-by-step explanation:

First we add 3 to both sides to make :

2p = p + 5

Now we subtract p from both sides :

p = 5

Hope this helped and brainliest please

Look at the picture pls don't answer in pictures

Answers

The answer is X>15 I’m pretty sure

[HELP, DUE TOMORROW. WILL GIVE BRAINLIST] What do exponential functions model in the real world? How does the standard equation form of the exponential equation change in each situation?

Answers

Step-by-step explanation:

write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it

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