Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same

Answers

Answer 1

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

[tex]Area=\pi r^2\\A=4\pi \ cm^2\\B=25\pi \ cm^2[/tex]

The initial volume in cylinder A is:

[tex]V=4\pi *10\\V=40\pi\ cm^3[/tex]

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

[tex]h_A=\frac{V_a}{4\pi}\\h_B=\frac{V_b}{25\pi}[/tex]

If both heights are the same:

[tex]\frac{V_a}{4\pi}=\frac{V_b}{25\pi}\\V_b=\frac{25}{4}V_a \\V_a+V_b=40\pi\\V_a+\frac{25}{4}V_a=40\pi\\V_a=5.5172\pi\ cm^3[/tex]

The height 'h' is:

[tex]h=\frac{5.5172\pi}{4\pi}\\ h=1.38\ cm[/tex]


Related Questions

x + y + 5) and (2x – 2y – 3)

Answers

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4

Answers

Answer:

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Step-by-step explanation:

To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

[tex]y = 2*0 - 8 = -8[/tex]

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:

[tex]0 = 2*x - 8[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

So the y-intercept is -8 and the x-intercept is 4.

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

1)January

2)February

3)March

4)April

5)May

6)June

7)July

8)August

9)September

10)November

11)October

12)December

Months that have less than five letters in its name

June

July

May

Probability= successful outcome ÷ possible outcone

Successful outcome=3

Possible outcome=12

Probability of Hannah guessing her brother's birthday=3÷12=1/4

1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Expand and then collect the following expression 5(2b+1)+6(3b+2)

Answers

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

The diagram shows an irregular octagon. Work out the sum of the interior angles.

Answers

Answer:

1080°

Step-by-step explanation:

Sum of interior angles = 180°(n-2)

Where n is the number of sides of the polygon

Therefore,

Sum of interior angles of an octagon =180°(8-2)

=1080°

A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:

Regular polygonIrregular polygon

The sum of the interior angles of the irregular octagon is 1080°

The formula to solve for the sum of the interior angles of an irregular polygon is given as:

(n - 2) x 180°

Where n =  number of sides.

An octagon is a polygon that has 8 sides. Hence, n = 8

So: (8 - 2) x 180°

= 6 x 180°

= 1080°

Therefore, the sum of the interior angles of the irregular octagon is 1080°

To learn more, visit the link below:

https://brainly.com/question/23425100

What is the value of m in the equation
zm = 16, when n = 8?

Answers

Step-by-step explanation:

nm=16

m=16/n

m=16/8

m=2

Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius's scores: 96,54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie, Who is correct?
O Barb is correct if both the mean and median scores are considered.
O Barb is correct if only the median score is considered
O Darius is correct if both the mean and median scores are considered,
O Darius is correct if only the median score is considered.

Answers

Answer:

D. I hope it helps!

Step-by-step explanation:

Darius is correct if only the median score is considered.

just took the quiz on edg.

Pls help me it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira .What is his percentage profit.

Answers

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11​

Answers

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

The number or expression in a power that is multiplied by itself?​

Answers

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

the relationship is not linear

HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.

Answers

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

Please Help me ASAP Just answers please ;)

Answers

Answer:

C

Step-by-step explanation:

< means exclusive, so open hole

≤ means inclusive, so closed dot

also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.

PLEASE HELP!!

triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc

Answers

Answer:

-7,-6,-3.these are the vertices

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to

Answers

Answer:

7/8 is greater than 2/4

Step-by-step explanation:

In this question basically, what we are trying to do is to compare fractions and state which is greater or less.

The first fractions in the question is;

7/8 _ 2/4

Now, one of the best ways to go around comparing fractions is looking at the denominators.

In this question, the denominators in the fractions are 8 and 4.

The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.

Thus, what we have would be;

7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32

Now for the fraction;

2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32

We can see they both have a common denominator and we can directly compare their numerators.

Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4

So what we have in the blank is ; is greater than

Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4

Answer:

is less than

Step-by-step explanation:

look at da graph and watch mario.

A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips

Answers

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50

how do you do this : 40% of 98 = _____

Answers

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

What is the product? ​

Answers

Answer:

It's (B)

Step-by-step explanation:

Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except:

Answers

Answer:

Its A

Step-by-step explanation:

i got it right

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Answers

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Calculation of the probability:

Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.

So, here the probability is

[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]

= 0.59375

Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Learn more about probability here: https://brainly.com/question/15241200

A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.

Answers

Answer:

The addition of the same side interior angles is equal to 180°

Step-by-step explanation:

If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.

See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.


Please answer this question fast in two minutes

Answers

Answer:

(3, 0)

Step-by-step explanation:

M = (-3, -4) - mid point

D= (-9, -8)

C=?

--------

Mid point:

x= (x1+x2)/2, y=(y1+y2)/2

-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0

C= (3, 0)

y = 16-x^2

Find the value of k ​

Answers

Answer:

k = - 4

Step-by-step explanation:

Given

y = 16 - x²

The point (k, 0 ) is a zero. To find the zero let y = 0, that is

16 - x² = 0 ( add x² to both sides )

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

x = ± [tex]\sqrt{16}[/tex] = ± 4

The zeros are x = - 4 and x = 4

Since (k, 0 ) is to the left of the origin, then k = - 4

What is the slip of the line shown below?

Answers

Answer:

Assuming you mean slope, the answer would be ...

2

The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.

When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.

Therefore, your answer is 2

Hope this helps!

Answer: 2

Step-by-step explanation:

The slope would be 2 :)

Q2.

If ε = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and

B = {2, 4, 6, 8, 10, 12, 14, 16, 18}.




(i) List down the elements of A’ and B’








(ii) Are sets A - B and B - A equal sets?







(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations




please please please please answer it it's so much inportant​

Answers

Answer:

see below

Step-by-step explanation:

A = {8, 9, 10, 11, 12, 13, 14} and   B = {2, 4, 6, 8, 10, 12, 14, 16, 18}

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

(i) List down the elements of A’ and B’

{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets

----------

(ii) Are sets A - B and B - A equal sets?

A-B= {9, 11, 13}

B-A= {2, 4, 6, 16, 18}

These are not equal as we can see

----------

(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations

A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets

A∩B= {8, 10, 12, 14} - intersection only includes common elements

square root of 524176 by long division ​

Answers

Answer:

724 is the square root of 524176.

Step-by-step explanation:

Square root of 524176 by long division method.

[tex]\sqrt{524176}[/tex] =  7) 52 41 76 (724

                  7  49

             14 2)  341

                2   284

         144 4)   5776

                      5776

                          0

Therefore, square root  of 524176 is 724.

HELP ASAP LINEAR EQUATIONS!!

Answers

Answer:

y = 4/3x - 10.

Step-by-step explanation:

3x + 4y = 12

4y = -3x + 12

y = -3/4x + 3

If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.

So far, for the equation of the line, we have an equation of y = 4/3x + b.

To find b, simply substitute the coordinates (6, -2) for x and y.

-2 = 4/3(6) + b

b + 4/3(6) = -2

b + 8 = -2

b = -10

So, the equation of the line will be y = 4/3x - 10.

Check your work...

-2 = (4/3)(6) - 10

-2 = 8 - 10

-2 = -2

Hope this helps!

Answer: C) [tex]y = \frac{4}{3} x-10[/tex]

Step-by-step explanation:

First change this equation into slope-intercept form(y = mx + b).  y = -3/4x + 3.

For a line to be perpendicular to another line, it must have an opposite reciprocal slope.  The opposite reciprocal of -3/4 is 4/3.  Thus, the answer is NOT B.  Then, attempt to plug in 6, -2 into each equation.  The only one where it works is C.

Hope it helps <3

What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?

Answers

Answer:

4 hours and 30 minutes.

Step-by-step explanation:

270÷60=4.5

Answer:

4 1/2 hours (((:

Step-by-step explanation:

Other Questions
Please help me :)))) Solve 2x+2>10A. x < 4B. x > 4C. x > 6D. x < 6 The mean and standard deviation of a random sample of n measurements are equal to 34.5 and 3.4, respectively.A. Find a 95 % confidence interval for if n=49.B. Find a 95% confidence interval for if n=196.C. Find the widths of the confidence intervals found in parts a and b.D. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?1. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.2. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.3. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the on confidence interval by a factor of 4.4. Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.5. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2. A teacher wants her students to provide honest but constructive feedback to their peers regarding their performance in a theater production rehearsal. Which Form settings should she avoid if she wants to keep feedback anonymous Balance the chemical equations Water is boiled at 1 atm pressure in a 20-cm-internal diameter polished copper pan on an electric range. If it is observed that the water level in the pan drops by 8.00 cm in 15 minutes, determine the inner surface temperature of the pan. Some people enjoy taking risks and trying new things. Others are not adventurous; they are cautious and prefer to avoid danger. Which behavior do you think is better? Please help me ASAP (Each choose is Yes/No) drag the tiles to the correct boxes to complete the pears. Match the values based on parallelogram ABCD, shown in the figure. length of BCvalue of y mvalue of x 56> 4> 44> 2> Given the following data for Glennon Company, compute (A) total manufacturing costs and (B) costs of goods manufactured:A BDirect materials used $270,000 Beginning work in process $40,000Direct labor 200,000 Ending work in process 20,000Manufacturing overhead 300,000 Beginning finished goods 50,000Operating expenses 350,000 Ending finished goods 30,000A) $750,000 $790,000B) $770,000 $750,000C) $790,000 $810,000D) $770,000 $790,0002) Carr Company is considering two capital investment proposals. Estimates regarding each project are provided below:Project SoupProject NutsInitial investment$400,000$600,000Annual net income30,00046,000Net annual cash inflow110,000146,000Estimated useful life5 years6 yearsSalvage value-0--0-The company requires a 10% rate of return on all new investments.Present Value of an Annuity of 1Periods9%10%11%12%53.8903.7913.6963.60564.4864.3554.2314.111The annual rate of return for Project Soup is:A) 55%.B) 7.5%.C) 27.5%.D) 15.0%. which of the following us not a property of salt in the ionic and covalent properties lab help i will give brainliest A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Before: 74, 83, 75, 88, 84, 63, 93, 84, 91, 77 After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75Required:a. Is there evidence to suggest the logic course improves abstract reasoning? b. Construct a 95% confidence interval for the mean difference between the before and after scores. What happened when United States General Scott reached Mexico City?Ps: i by mistake clicked one of the answers Izzy gets a loan of $2,800 with an APR of 3.5%. She will repay the loan in monthly payments for 9 months. To find the total amount of interest she will pay, Izzy uses an online calculator. What are the correct numbers she should enter? While an important source of freshwater, groundwater is not as widely used as rivers and springs. Please select the best answer from the choices provided T F How did nationalism in Austria affect German expansion before World War II?O A. It led Austrian leaders to rely on British and French protection fromGerman aggression.O B. It made Germany more willing to give up portions of Austria aspart of appeasement.O C. It forced Germany to assassinate Austrian leaders beforeconquering the country.O D. It resulted in little Austrian opposition to the German annexation ofAustria. Lilly took her brother Joe to the playground. Another little boy arrived at the playground with his mother. The boy started playing with Joe. The teeter-totter was shared by the boys. Which sentence is in passive voice? 7. Look at the figure below.Which theorem can be used to show that triangles QSN and LEJ are congruent?A. HLB. ASAC. SASD. SSA Find the slope through each pair of two points. Report answers in simplest form.(0,0) and (0.5,0.25)m =