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:

πr²h= 1696

⇒r²=1696/3.14×15

⇒r²=36.009

⇒r=√36.009

∴r=6.0008=z


Related Questions

A sum of 2500$ is invested in a saving account which pays interest at a rate of 7 per year compounded annually. if the amount is kept on deposit for 15 year's, what will the compound amount equal? how much interest will be earned during the 15 years?

Answers

Answer:

Step-by-step explanation:

2500( 7 years )

????? (15 years )

15*2500=37 500

A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm. What is the approximate density of the aluminum? Round to the nearest tenth.

Answers

If the volume of the aluminum brick will be 2218.5 cubic cm. Then the approximate density of the aluminum will be 8.9 grams per cubic cm.

What is density?

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm.

Then the approximate density of the aluminum will be

The volume of the aluminum brick will be

V = 29 x 15 x 5.1

V = 2218.5 cubic cm

Then the density will be

D = 19,745 / 2218.5

D = 8.900 gram per cubic cm

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8/21 fraction to decimal ​

Answers

Answer:

Solution and how to convert 8 / 21 into a percentage

0.38 times 100 = 38.1. That's all there is to it!

Step-by-step explanation:

hope this helps

what is the equation of the line that contains point (2, -6) and has a slope of -2

y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10

Answers

Answer:

y=-2x+10

Step-by-step explanation:

i graphed it i graphed all of them

Answer:

y-2x-2

Step-by-step explanation:

The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.

We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].

Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]

Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]

Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]

Hope this helps! :)

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y ≥ −3x + 3
y is less than 3 over 2 times x minus 6

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (−6, 3) included in the solution area for the system? Justify your answer mathematically. (4 points)

(10 points)

Answers

Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.

The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.

The area where both shaded areas meet is the area that will have all the possible solutions.

PartB:

y ≥ −3x + 3

3 ≥ -3(-6) + 3

3 ≥ 18 + 3

Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.

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Gabby and Brea went shopping at Ciara's Clothing Goods. Gabby bought 2 shirts and 1 pair of shoes, and she spent $32. Brea bought 2 shirts and 3 pairs of shoes, and she spent $48. How much does it cost per shirt, and how much does each pair of shoes cost?

Answers

The cost of one pair of shoes is $8.

The cost of one shirt is $12.

What are the linear equation that represent the question?

2a + b = 32 equation 1

2a + 3b = 48 equation 2

Where:

a = cost of 1 shirt b = cost of one pair of shoes

What is the cost of one pair of shoes?

Subtract  equation 1 from  equation 2

2b = 16

b = 16/2

b = $8

What is the cost of one shirt?

Substitute for b in equation 1

2a + 8 = 32

2a = 32 - 8

2a = 24

a = 24 / 2

a = $12

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It takes Paula 9 minutes to run 1 mile. At this rate, how long will it take Paula to run 8 miles?

Answers

Answer:

72 mins or 1 hour 12 mins

Step-by-step explanation:

1 miles = 9 mins

8 miles = 9×8 mins

8 miles = 72 mins = 1 hour 12 mins

Hope this helped and brainliest please

In a shop, two customers order
Customer 1 pays £3.90 for a tea and two coffees.
Customer 2 pays £4.20 for three teas and a coffee.
How much does one cup of tea cost?

Answers

The cost of a tea cup and a cup of coffee in the shop is £0.90 and £1.50 respectively.

How to write and solve equation?

let

x = cost of teay = cost of coffee

x + 2y = 3.90

3x + y = 4.20

Multiply (1) by 3 to eliminate x

3x + 6y = 11.70

3x + y = 4.20

5y = 7.50

y = 7.50/5

y = 1.50

Substitute y = 1.50 into (1)

x + 2y = 3.90

x + 2(1.50) = 3.90

x + 3 = 3.90

x = 3.90 - 3

x = 0.90

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A (2,2)
31
B
(1,-2)
(4,-4) C
1. Reflect across y-axis
2. <1,3>
Complete the transformations
and then enter the final
coordinates of the figure.
A" ([?],
B" (
C" (
Hint: The x-value of A is 2. To
find the x-value of A", first invert
the number's sign (step 1), and
then add 1 (step 2).
Enter

Answers

Answer:

This is put together very weird, can you put the answers more clearly?

Step-by-step explanation:

?

The final coordinates after the transformations will be:

A" is (-1, 5),

B" is (0, 1),

C" is (-3, -1).

What's the transformation about?

Reflect across the y-axis: For any point (x, y), the reflection across the y-axis is (-x, y).

Translation by vector <1, 3>: For any point (x, y), the new coordinates after translation are (x + 1, y + 3).

Let's apply these transformations step by step:

A (2, 2):

Reflect across y-axis: (-2, 2).

Translate by <1, 3>: (-2 + 1, 2 + 3) = (-1, 5).

So, A" is (-1, 5).

B (1, -2):

Reflect across y-axis: (-1, -2).

Translate by <1, 3>: (-1 + 1, -2 + 3) = (0, 1).

So, B" is (0, 1).

C (4, -4):

Reflect across y-axis: (-4, -4).

Translate by <1, 3>: (-4 + 1, -4 + 3) = (-3, -1).

So, C" is (-3, -1).

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Solve the following quadratic function
by utilizing the square root method.
y = 64-16x²
X = = + [?]
Please help me

Answers

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

=========================================================

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

=========================================================

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

=========================================================

Taking square root on both sides :

⇒ √(x²) = √4

x = ±2

Can anyone answer this please?? will mark brainliest!!

Answers

Answer:

hope you can understand

(1/4)2 the 2 is a exponent btw

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex](\frac{1}{4}) ^{2}[/tex] can also be written as [tex](\frac{1}{4} )(\frac{1}{4} )[/tex]

So the answer is just [tex]\frac{1}{16}[/tex]

here we go again... can someone explain how these problems work?

Answers

Answer:

x = 5 only

≡ On a graph, the point touches (5, 0), making x equal to 0.

≡ In other words, you must replace y with 0 to solve for x. There is no y term in this problem, so you must determine y by separating the coefficients into groups and determining each part.

HELP ASAP
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.

s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.

What is the first error he made in computing the standard deviation?


SOMEONE HELP ASAP

Answers

The mistake he made is that he Yuri divided by n instead of n -1.

What mistake did he make?

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group.

In order to determine the standard deviation, take the following steps:

• Determine the mean of the observation: 14

Determine the difference between each value and the mean and then square the result: (12 - 14)² + (14 - 14)² + (9 - 14)² + (21 - 14)² = 78

Determine the mean of the sum of the squared differences and then find the square root of the mean: √78/(n - 1) = 5.1

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Answer:

Yuri divided by n instead of n -1.

Step-by-step explanation:

The answer above is correct.

Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.

Answers

[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]

[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]

As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.

1 1/5 of 3 kg please help

Answers

Answer:

1kg= 1000 g

3 kg=3000 g

so,

3000×11/5=6600 g=6kg 600 g

Answer:

6.6kg

Step-by-step explanation:

11/5 of 3kg mathematically means

11/5 × 3

= 33/5= 6.6kg

If the measure of arc AB is 50 degrees, what is the measure of angle ADB

Answers

Answer:

25

Step-by-step explanation:

50/2=25

If 2x⁴,2y⁴,2z⁴=144,then find the mean of x⁴,y⁴,z⁴.

Answers

[tex]\text{Given that,}\\\\~~~~~~~2x^4 +2y^4 +2z^4 = 144\\\\\implies 2(x^4+y^4 +z^4) = 144\\\\\implies x^4 +y^4 +z^4 = \dfrac{144}{2}\\\\\implies x^4 +y^4 +z^4 = 72\\\\\text{Mean} = \dfrac{x^4+y^4+z^4}{3}\\\\~~~~~~~~=\dfrac{72}{3}\\\\~~~~~~~~=24[/tex]

7/8 - 6/7. what is the answer.???

Answers

Answer:

0.0178 is the answer

The difference between a number and its square is 42 find the number

Answers

Answer:

x = 7 or -6

Step-by-step explanation:

Let a number be x.

Its square = x²

x - x² = 42

-x² + x - 42 = 0

-(x² - x + 42) = 0

x² - x + 42 = 0

(x - 7)(x + 6) = 0

x - 7 = 0 or x + 6 = 0

x = 7 or x = -6

tense chart on A4 sheet​

Answers

Answer:

hre is your tense chart

Step-by-step explanation:

mark me brainliest

Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O

Answers

Answer:

No solution.

Step-by-step explanation:

When two lines have the same slope but different y-intercepts, they are parallel.  Parallel lines never intersect, and therefore there is no solution.

1. University Bank pays 5% interest compounded quarterly on regular savings accounts and Rosemont
Savings Bank pays 5.5% compounded semiannually. Vasily and Oxana Cherchenko had $4,000 to invest
for 4 years. Based on the interest to be earned, which bank offers the better investment?

Answers

[tex]~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]A=4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4}\implies A=4000(1.0125)^{16}\implies \boxed{A\approx 4879.56} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4}\implies A=4000(1.0275)^8\implies \boxed{A\approx 4969.52}[/tex]

well, "better" meaning more amount per same 4000, clearly the latter will be better.

Answer:

Rosemont Savings Bank; interest is $969.52

Step-by-step explanation:

because i said so <3

Drag the tiles to the correct boxes to complete the pairs match each pair of rational numbers with their sum -2/a^b+2/ab^2

Answers

The pair of rational numbers with their sum are matched.

What is rational number?

The numbers in the form of p/q is called the rational number.

1. -2/a²b +2/ab² = ( -2ab² +2a²b) / a³b³

                          = 2(a-b)/a²b²

2. 1/2ab -1/4a²b² =( 4a²b² -2ab) / 8a³b³

                            = 2ab -1 /4a²b²

3. 2/a²b³ -2/ab = (2ab -2a²b³) / a³b⁴

                         = 2( 1- ab²) /a²b³

4. 1/ab³ -1/a²b = a²b - ab³ / a³b⁴

                       = (a - b²) / a²b³

Thus, all the rational numbers are matched with their sum.

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The volumes of two similar solids are 512 cm3 and 2,197 cm3. If the smaller solid has a surface area of 960 cm2, find the surface area of the larger solid.
Part I: Find the similarity ratio by taking the cube root of each volume. Show your work. (2 points)


Part II: Use your answer from Part I to find the ratio of the surface areas. Show your work. (2 points)


Part III: Set up a proportion and solve to find the surface area of the larger solid. (3 points)

Answers

The similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

Part 1:

Volume of larger solid = (512) cubic cm

Volume of small solid = 2197 cubic cm

Ratio of the volumes = 512/2197

Taking cube root:

Similarity ratio = 8/13

Part 2:

Similarity ratio by taking the cube root of each volume = 8/13

Taking the square of the above ratio:

= 64/169

Part 3:

64/169  = 960/SA(larger)

SA(larger) = 2535 square cm

Thus, the similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

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In the diagram, Ray K QJKM is a straight angle.

Answers

The true statements about the diagram given are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

What is an Angle Bisector?

An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.

The missing part of the question is in the image attached below.

In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).

Therefore, m∠JKL = m∠PKL = 45°

m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.

Therefore, the true statements are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

(see image attached below)

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Find two integers whose sum is -5 andproduct is 4

Answers

Answer:

-1 and -4

Step-by-step explanation:

-1 + -4 = -5

-1 times -4 = 4

give brainiest please!

hope this helps ;)

help help help help help help help

Answers

at 8 am, there was 12 people in the bus station
(=^_^=)

elabora 50 ejemplos de adicion de numeros enteros con 5 terminos o mas

Answers

Some examples of additions with integers with 5 terms or more are:

20 + 1 + 1 + 2 + 1= 252 + 1 + 1 + 2 + 1= 720 + 2 + 1 + 2 + 1= 2620 + 1 + 1 + 3 + 1= 2620 + 1 + 1 + 4 + 1= 27200 + 1 + 1 + 2 + 1= 205

What is an Integer?

In mathematics, an integer is a whole number that is used to represent a value and is not a fraction.

Furthermore, we can make the addition of integers as they would increment based on the number they are being incremented with and this has been shown above.

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A line passes through the point (-2, 1) and has a slope of 3. Write an equation in slope-intercept form for this line. ​

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

apply the rule

[tex]y-y_{0} =m(x-x_{0} )[/tex]

where

[tex]x_{0}, y_{0}[/tex]

they are taken from the point  (-2, 1), and "m" is the slope (3)

Then

[tex]y-1=3(x--2)[/tex]

[tex]y-1=3(x+2)[/tex]

[tex]y=3x+6+1[/tex]

[tex]y=3x+7[/tex]

Hope this helps

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Which of these statements best describes the conflict for Rama in this passage? A. Rama is frightened by the battle and runs to the woods What are the coordinates of the turning point of the parabola whose equation isy = x - 4x + 48(1) (2.0) (2) (-2, 16)(3) (2,-4)(4) (-2,0)What is the equation for the axis of symmetry for: y = -x - 2x-1(1) x= 1 (2) X=-1(3) y = 1(4) y = -1If the roots of a quadratic equation are -2 and 3, the equation can be written as:1) (x-2)(x+3) = 03) (x + 2)(x + 3) = 02) (x + 2)(x-3) = 04) (x-2)(x-3) = 0The equation of the axis of symmetry of the graph of y=2x2-3x+7 is3333(1) X(2) y=-(3) X=-(4) y=-422Ex7: What are the vertex and axis of symmetry of the parabola shown in the graph below?(1) Vertex (1. 6); axis of symmetry: y=1(2) Vertex (1, 6); axis of symmetry: x = 1(3) Vertex (6, 1); axis of symmetry: y = 1(4) Vertex (6, 1); axis of symmetry: x = 1 The Dictionary of Occupational Titles lists approximately ---------- specific occupations.500 100,00020,0006,000 What conditions account for the boom-and-bust cycles experienced by washingtons economy in the latter half of the 20th century? provide specific example to explaingee ok thanks people Using graphing, what is the approximate solution of this equation? 3x2-6x-4 = -2/x+3 + 1 A. x = .64B. x = .33C. x = .18D. x = 2.60 find the differential coefficient of 3x power 2 Help asap I DONT KNOW THIS QUESTION!!! Fran and Roberto overdo it sometimes. Everything hurts! Listen to them and select the most likely reason for their pain in each case. Please Help I Don't Undertand. Question 17Consider the equation y = 15 - 4x.Which of the following is a graph of this equation? Please I need help ASAP Why is the author of The School Days of an Indian Girl so nervous about starting school?She has never seen a classroom.She has to walk to a nearby village.She has parents who are not literate.She has to leave her family. As a result of the treaty of Guadalupe hidalgo the united states:A. Outlawed slavery throughout its western territoriesB. Officially took control of Texas from MexicoC. Gained the right to control territory south of Rio GrandeD. Gained access to a small piece of territory to build railroads Which organ isprimarilyresponsible foringesting food?A. mouthB. heartC. anusD. pancreas Read the following summary:A young woman has worked to develop her musical talentin order to please her parents. She is only a mediocremusician and finds no real joy in playing, but she is stilldevastated to find out she has not been chosen for aprestigious orchestra and fears her parents'disappointment.Which of the following most clearly analyzes the two themes of the story?A. It shows the dangers of unattainable goals and loss of free will.B. It deals with the authority of parents over children and the value ofsacrifice.C. It addresses the value of honest communication and promotesdedication.D. It illustrates the consequences of failure and the need for self-acceptance. Factor the algebraic expression.18a+15 What is the (LCM) of 5/6 and2/5 Do we determine our own destiny? Or is our fate predetermined for us? ____=42__+__=23Can someone help me solve this? e) 35-12 + 6 x 36 /4