A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone? A) 3 cm B) 5 cm C) 7 cm D) 9 cm

No guessing tyvm!

Answers

Answer 1
option A is correct.

volume of cylinder = volume of cone
(22/7)(1^2)(21) =(1/3)(22/7)(r^2)(7)
9 =r^2
therefore radius = 3cm.

Related Questions

The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=2x+8
Part A. Wrote a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)

Part B which functions has greater y-intercept. Justify

Answers

f(x) = 4x - 1. You can get this by using the slope formula and then point-slope form. 

1. The slope of f(x) is twice as steep as that of g(x).

2. The y intercept of g(x) is much greater than that of f(x) because 8>-1

The quantity demanded x for a product is inversely proportional to the cube of the price p for p > 1. When the price is $10 per unit, the quantity demanded is 64 units. The initial cost is $150 and the cost per unit is $2. What price will yield a maximum profit?

Answers

q(p) = k/p^3 . . . . . . . . we want to find k
q(10) = k/10^3 = 64
k = 64,000

Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3

Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150

Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3

A price of $3 per unit will yield a maximum profit.

How many 53/4 pieces of yarn can be cut from a roll that is 60 inches long? please i really need help

Answers

Divide the total length by the length of the pieces.

x= number of 53/4 pieces

x= 60 ÷ 53/4
to divide by the fraction, multiply by the reciprocal/inverse of 53/4
x= 60 * 4/53
x= (60*4)/53
x= 240/53
x= 4 28/53 or 4.528

ANSWER: The roll can be cut into 4 pieces with a 28/53 piece leftover.

Hope this helps! :)

4/5 of the books in a library of fiction books. What percentage of the books or fiction books?

Answers

4/5 is equivalent to 80%.

....................

Answers

The slope of LM is (-2 -(-4))/(3 -1) = 2/2 = 1, as is the slope of NK. The other two sides of the rectangle will be perpendicular, so their slopes will be -1/1 = -1.

Selection A is appropriate.

PLZ!!! HELP!!!!!!!!!

This figure is 14 of a circle.

What is the best approximation for the perimeter of the figure?

Use 3.14 to approximate pi.

A.7.85 in.
B.12.9 in.
C. 17.9 in.
D. 31.4 in.

The file is the picture of the quarter or 1/4 circle

Answers

The answer is c with a side of bacon hope that helps. :)

Answer:

C. 17.9

Step-by-step explanation:

Formula: 1/4 π x d

d = diameter

d = 2r

1/4 π  x  10 = 10/4 π

Add the 2 non-curve sides

5 + 5 = 10

10/4  x  (3.14 = π)  x  10

= 17.9

I hope this helps! :)

100 dL = how many L exp lane please and answer

Answers

Hello there!

100 deciliter is equal to 10 liter


Details down below....

There are 0.1 liters in a deciliter.

We can use that information to find how many liter are there in 100 deciliter.

So, it should look like this:

0.1 L...........1 dl
x L................100 dl

Cross multiply

1 * x = 100 * 0.1

x = 10

You got it? See how easy that was :)

Math is an interesting beautiful subject. We just need to know the formulas and understand when and how to use them.

I hope this answer helps! As always, it is my pleasure to help students like you!

9. A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building, in feet, if the height of the model is 12.5 inches?


*PLZ HELP* *DUE IN 1 HOUR* *EMERGENCY* *17 POINTS* *YOU WILL GET A COOKIE*

Answers

You can use the ratio to find the height of the actual building, 1 inch:25 feet.
We have to find y which is the actual height, 12.5 inches: y.
To find y, you have to multiply 12.5 by 25 to find the actual height.
12.5×25= 312.5
So the actual height of the building is 312.5 feet.

Answer:

312.5

Step-by-step explanation:

i wil get my cookie

PLS HURRY FIRST ANSWER IS MATKED BRAINLEST!!!

What is the volume of the piles of hay??

Answers

6 x 4 x 3 = 72

1 x 2 x 4 = 8

72 -8 = 64 cubic feet

Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?

Answers

Here's what the equation would look like:

30(50) + 0.03(4596)

1500 + 137.88

Paige earned $1637.88.

Answer:

Paige earned $1637.88.

Step-by-step explanation:

i did it enginuity

radical functions. please help me!

Answers

These are 8 questions and 8 answers:

1) Quesion 1:

 9+√2
---------
 4 - √7

Answer: the third option:

36 + 9√7 + 4√2 + √14
-----------------------------
               9

Explanation:

Multiply both numerator and denominator by the conjugate of the denominator.

The conjugate of 4 - √7 = 4 + √7

=>

[tex] \frac{9+ \sqrt{2} }{4- \sqrt{7} } . \frac{4+ \sqrt{7} }{4+ \sqrt{7} } = \frac{(9)(4)+9 \sqrt{7}+4 \sqrt{2} + \sqrt{2} . \sqrt{7} }{(4)^2-( \sqrt{7})^2 } =[/tex]

[tex]= \frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{16-7} [/tex]

2) Question 2: sum

[tex]5x (\sqrt[3]{x^2y})+2( \sqrt[3]{x^5y})[/tex]

Answer: fourth option

[tex]7x( \sqrt[3]{x^2y} )[/tex]

Explanation:

Take x^5 out of the second radical which will result in a like term of the first radical:

[tex]5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y}) [/tex]

which is the fourth option

3) Question 3. Which expression is equivalent to:

[tex] \frac{ \sqrt{10} }{ \sqrt[4]{8} }[/tex]

Answer: the first option

Explanation

[tex] \frac{ \sqrt{10} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{10^2} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{100} }{ \sqrt[4]{8} } . \frac{ \sqrt[4]{8^3} }{ \sqrt[4]{8^3} } = \frac{ \sqrt[4]{(100)(512)} }{8} = \frac{ \sqrt[4]{51200} }{8} = \frac{4 \sqrt[4]{200} }{8} = \frac{ \sqrt[4]{200} }{2} [/tex]

4) Question 4 What is the simplest form?

Answer: the second option

Explanation:

[tex] \sqrt[4]{81x^8y^5}=x^2 y\sqrt[4]{3^4y} =3x^2y \sqrt[4]{y} [/tex]

5) Question 5 Product

Answer: the fourth option:

[tex]104x^4+16x^4 \sqrt{30} [/tex]

Explanation:

Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2

[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=[/tex]

[tex]=16x^2(5x^2)+16x^4( \sqrt{30} )+4x^4(6)=80x^4+16x^4 \sqrt{30} +24x^4=[/tex]

[tex]=104x^4+16x^4 \sqrt{30} [/tex]

which is the fourth option.

6) Question 6 Product

Answer: fourth option

Explanation:

[tex] \sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} = \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x} [/tex]

which is the fourth option.

7) Question 7. Simplified form of 2√18 + 3√2 + √162

Answer: 18√2

Explanation:

[tex]2 \sqrt{18}+3 \sqrt{2} + \sqrt{162}=2(3) \sqrt{2} + 3 \sqrt{2} +9 \sqrt{2} =18 \sqrt{2} [/tex]

which is the second option.

8) Question 8 which function is undefined for x = 0.

Answer: second option y = √ (x - 2)

Explanation.

The square root function is not defined for negative values.

When x = 0, x - 2 = -2, whose square root is not defined.

Therefore, the square root of x - 2 is not defined for x = 0.

Uniforms are sold in packages of 8 - the stores 127 employees will be given 3 uniforms

Answers

you need 48 packages for each employee to have 3 uniforms

Which describes the correct way to convert minutes to hours?

Answers

Every 60 minutes equals an hour.

60m = 1h

m = minutes | h =hour

60m + 60m = 120m = 2h

Hope this helped!

Anyone? please i need help

Answers

Answer:
y = 5x - 7

Explanation:
The general form of the linear line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
The slope of the line can be calculated using the following formula:
m = [tex] \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]

We are given the points:
(3,8) representing (x₁,y₁)
(2,3) representing (x₂,y₂)
Substitute with the givens in the above equation to get the slope as follows:
m = [tex] \frac{3-8}{2-3} [/tex] = 5

Therefore, the equation now became:
y = 5x + c

2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

Based on the above, the equation of the line is:
y = 5x - 7

Hope this helps :)

Answer:

[tex]y= 5x-7[/tex]

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

[tex]y=mx+b[/tex]                    .....[1]

where,

m is the slope of the line

b is the y-intercept.

As per the statement:

The points (3, 8) and (2, 3) fall on a particular line.

Using slope(m) formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the given points we have;

[tex]m = \frac{3-8}{2-3}=\frac{-5}{-1}=5[/tex]

⇒m = 5

Put m = 5 in [1] we have;

[tex]y=5x+b[/tex]

Substitute the point (3, 8) we have;

8 = 5(3)+b

8 = 15+b

Subtract 15 from both sides we have;

[tex]-7 = b[/tex]

or

b = -7

Then we have;

[tex]y= 5x-7[/tex]

Therefore, the equation of line in slope intercept form is, [tex]y= 5x-7[/tex]

the pyramid arena in memphis tennessee is a square pyamid that is 321 feet tall. the base has 600 foot sides. find the volume of the pyramid

Answers

38,520,000 [tex] ft^{3} [/tex]

The volume of a pyramid is represented by 

V = [tex] \frac{l * w* h}{3} [/tex]

The sides are 600 and the height is 321 so by filling in the values in the formula, you can get to your final answer. This is represented in the attached image.

During a 5​-year ​period, 32% of snowstorms in a certain city caused power outage Fifty-one of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5​-year period.

Answers

To answer this question you will consider that if 32% of the storms did cause outages, then 100% (all of them)-32%= 68% did NOT produce a power outage. We can say that 68% of the total is 51.

This can be written as 0.68 x = 51 where x is the total number of snowstorms. Divide both sides by 0.68 to solve for x. X = 75 snowstorms. Another way to do this is to use Ratios. See the attached page for the strategy.
Answer:
Total number of snowstorms = 75 storms

Explanation:
We are given that:
32% of the snowstorms caused power outage
This means that we can get the percentages of the snowstorms that did not cause power outage as follows:
% of storms not causing outage = 100% - 32% = 68%

Now, we are given that the number of snowstorms that did not cause power outage is 51 
Assuming that the total number of storms is x, the equation would be as follows:
68% * x = 51
0.68x = 51
x = 51 / 0.68
x = 75 storms

Hope this helps :)

James cut 1 1/4 dozen flower for a bouquet. Gwen added 1 2/4 dozen flowers to the bouquet. How many dozen flowers are there altogether?

Answers

3 and 3/4 of a dozen

Flower cut for a bouquet by James =[tex] 1\frac{1}{4} [/tex]

Flower cut for a bouquet by Gwen=[tex] 1\frac{2}{4} [/tex]

Flower cut for a bouquet by James and Gwen is the sum of flowers cut by both.

Flower cut for a bouquet by James and Gwen=[tex] 1\frac{1}{4} +1\frac{2}{4} =(1+1)+(\frac{1}{4} +\frac{2}{4} =(2)+\frac{3}{4} =2\frac{3}{4} [/tex]

Flower cut for a bouquet by James and Gwen =[tex] 2\frac{3}{4} [/tex]


What is the answer for 20x21

Answers

The answer is 420. I hope that it is right and next time use a calculator.
20*21=420

21 groups of 20 is 21*2=42
42*10=420

Hope this helped☺☺

I have to translate these into algebraic expressions. three-fifths x subtracted from 4 times one-eighth w. the other one is 60% of the product of one-twelfth y and two-thirds z.

Answers

3/5x-4(1/8w)

0.6(1/12y*2/3z)

The final algebraic expressions are: [tex]\frac{1}{2} w - \frac{3}{5} x[/tex] and [tex]\frac{1}{30} yz[/tex]

Sure, let's break down each part of your question step-by-step to translate them into algebraic expressions.

Three-fifths x subtracted from 4 times one-eighth w

Let's identify the components first:

"Three-fifths x" is written as [tex]\frac{3}{5} x[/tex]."4 times one-eighth w" is written as [tex]4 \times \frac{1}{8} w[/tex] or simply [tex]\frac{4}{8} w[/tex].

Now, write the expression for "three-fifths x subtracted from 4 times one-eighth w":

[tex]\frac{4}{8} w - \frac{3}{5} x[/tex]

Simplifying [tex]\frac{4}{8} w[/tex] to [tex]\frac{1}{2} w[/tex], the algebraic expression becomes:

[tex]\frac{1}{2} w - \frac{3}{5} x[/tex]

60% of the product of one-twelfth y and two-thirds z

Let's identify the components first:

"One-twelfth y" is written as [tex]\frac{1}{12} y[/tex]."Two-thirds z" is written as [tex]\frac{2}{3} z[/tex]."Product of one-twelfth y and two-thirds z" is written as [tex]\frac{1}{12} y \times \frac{2}{3} z[/tex].

First, calculate the product:

[tex]\frac{1}{12} y \times \frac{2}{3} z = \frac{2}{36} yz = \frac{1}{18} yz[/tex]

Now, we need "60% of that product":

60% can be written as [tex]0.60[/tex], so the expression becomes:

[tex]0.60 \times \frac{1}{18} yz = \frac{3}{90} yz = \frac{1}{30} yz[/tex]

So, the algebraic expression for "60% of the product of one-twelfth y and two-thirds z" is:

[tex]\frac{1}{30} yz[/tex]

What is the median of the following data set? {6, 3, 9, 1, 7} 3 6 8 9

Answers

The median of a data set is the number in the very middle. 
Your answer would be 9.

Answer:

9

Step-by-step explanation:

Are similar this triangles

Answers

Yes.

Both triangles have sides in the ratios 9 : 11 : 13.

What are three two dimensional shapes that could result from slicing a cube

Answers

Any 3 of ...
  triangle, square, rectangle, trapezoid, parallelogram, pentagon, hexagon.

if x <0, which integer does not satisfy the inequality x+2 <1

Answers

x+2<1
x<1-2
x<-1

-1 does not satisfy the inequality because though-1 is lesser than 0 but not lesser than -1.

Answer:x+2<1x<1-2x<-1-1 does not satisfy the inequality because though-1 is lesser than 0 but not lesser than

A hockey game between two teams is 'relatively close' if the number of goals scored by the two teams never differ by more than two. In how many ways can the first 12 goals of a game be scored if the game is 'relatively close'?

Answers

Final answer:

This question falls under the combinatorial mathematics branch. Due to the complex nature of the problem which involves permutations and combinations, it's necessary to use a systematic approach or a computer algorithm to find the total number of scoring sequences that keeps the game 'relatively close'. Hence, the actual numerical answer would require a stronger background in combinatorics.

Explanation:

This question belongs to the subject of combinatorial mathematics, particularly involving permutations and combinations. In this scenario, 'relatively close' is defined as the number of goals scored by the two teams never differing by more than two. The total number of goals scored in the game is twelve.

Let's denote the two teams as Team A and Team B. The game can start in three ways: either Team A scores twice, Team B scores twice, or each team scores once. After that, at any point, the next goal can either maintain the score within the 'relatively close' range of two goals or equalize the score.

Determining the total number of scoring sequences under these conditions requires generating a tree diagram and counting all the possible paths, subject to the condition that the absolute difference between the number of goals for the two teams does not exceed two at any stage. Due to the combinatorial complexity, this task could be difficult without using a systematic approach or computer algorithm.

Therefore, to actually answer this question, one would require a stronger background in combinatorics, and most likely the assistance of programming or mathematics software to execute a brute force count or implement a more advanced mathematical solution.

Learn more about Combinatorial Mathematics here:

https://brainly.com/question/32415345

#SPJ5

a dinosaur fossil is 92,170,000 years old. How can you express this age in scientific notation with the highest level of precision?

Answers

B.  9.217x10^7 that is the answer

Answer: Its age is expressed as [tex]9.217\times 10^7[/tex]

Step-by-step explanation:

Since we have given that

Age of dinosaur fossil = 92170000 years old

We need to write in scientific notation with the highest level of precision.

Since we know that Scientific notation means put the decimal just after unit digit and for all remaining digit there is to the power of 10.

So, it becomes,

[tex]92170000=9.217\times 10^7[/tex]

Hence, its age is expressed as [tex]9.217\times 10^7[/tex]

Right the slope intercept of the equation of the line through the given point with the given slope through (2, 1) slope = 5/2 m= b= equation:_____________

Answers

M = 5/2
B = -4
Y - 1 = 5/2(x - 2)
Y - 1 = 5/2x - 5
+1. +1
Y = 5/2x - 4

(I think)

Suppose a ball is completely submerged inside a cylinder filled with water displacing some of the water in the cylinder. Assume the ball and the cylinder both have a diameter of 10 centimeters, and the diameter of the ball is the same as the height of the cylinder. Determine the volume of water that can remain in the cylinder after the ball is inserted so that the water rises to the top edge of the cylinder without spilling

Answers

In terms of radius, the volume of the cylinder is
.. Vc = πr²×(2r) = 2πr³

In terms of radius, the volume of the sphere is
.. Vs = (4/3)πr³

Then the volume of water is the difference
.. Vw = Vc -Vs
.. = (2 -4/3)πr³
.. = (2/3)πr³
For the given dimensions, this is
.. Vw = (2π/3)*(5 cm)³
.. = 250π/3 cm³
.. ≈ 261.8 cm³ . . . . . . . . volume of water in the cylinder

Answer:the volume of cylinder is 785

volume of the sphere is 523.33

the volume of the water that can remain is 261.8

Step-by-step explanation: algebra nation answer

-2x+y=1.3 2(0.5x-y)=4.6

Answers

1 Solve for yy in -2x+y=1.3−2x+y=1.3How?
y=1.3+2xy=1.3+2x
2 Substitute y=1.3+2xy=1.3+2x into 2(0.5x-y)=4.62(0.5x−y)=4.6How?
2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6
3 Solve for xx in 2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6How?
x=-2.4x=−2.4
4 Substitute x=-2.4x=−2.4 into y=1.3+2xy=1.3+2xHow?
y=-3.5y=−3.5
5 Therefore,
x=-2.4x=−2.4
y=-3.5y=−3.5

passing through (1,9),slope=2

Answers

Passes through (1, 9) with a slope of 2.

Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)

To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.

y = mx + b

Plug everything in.

9 = 2(1) + b

Simplify.

9 = 2 + b

Subtract 2 from both sides.

9 - 2 = b

b = 7

Therefore, our y-intercept is 7! :)

Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.

y = mx + b

y = 2x + 7

~Hope I helped!~
y = ax + b

Here the slope is 2.

Then, y = 2x + b

The line is passing through (1;9).

We just have to substitute that in the equation.

9 = 2*1+ b
b = 9 - 2 
b = 7

That's the intercept.

Eventually, the equation is : y = 2x + 7

Hope this helps !

Photon

Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the larger angle?

Answers

two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y

plug in 2y for x

2y + y = 90
3y = 90
3y/3 = 90/3
y = 30

plug in 30 for y
x = 2y
x = 2(30)
x = 60

x (the largest angle) = 60°


hope this helps

Answer:

70 is the answer choise I picked it and got it correct

Step-by-step explanation:

Other Questions
What is the ratio of CDs & DVDs The client has difficulty swallowing and requests the nurse to crush all the medications. the nurse notes a client prescribed an extended-release opioid requests that all medications be crushed to facilitate the administration. what information about this form of opioid presents a problem respecting the client's request? Carson has 0.21 of a dollar. How many different combinations of coins could he have? Which expression is equivalent to 1/2(2+3x6) Which property of an object changes when an unbalanced force acts on it?A. MassB. InertiaC. VelocityD. Temperature The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.V(t)=24,500(0.95^t)Find the initial value of the car and the value after 13 years.Round answers to the nearest dollar as necessary. What would be the final ph if 0.0100 moles of solid naoh were added to 100ml of a buffer solution containing 0.600 molar formic acid (ionization constant = 1.8x10-4) and 0.300 m sodium formate? How do keystroke dynamics determine whether to authenticate an individual or not? What is the measure of angle x, help who or what does brueghel leave out in his interpretation, landscape with the fall of icarus? Expand the log as a sun or difference What motivated so many Americans to migrate to the sunbelt? melody is presented on the hoizontal line of music, harmony is the vertical line true or falseplease help!!? What 1925 book spelled out a politician's views of race, particularly his anti-semetic views? Mein Kampf Separat Spheres How the Other Half Lives The Diary of Adolph Hitler2.In 1935, the German government implemented __________, which legally restricted Jewish Germans from holding specific jobs and even from marrying certain people. Kristallnacht the Final Solution Emergency Powers the Nuremberg Laws3.What term represents the 1938 physical assault on Jews and Jewish synagogues and buildings throughout Germany? Auschwitz Kristallnacht Final Solution Nuremberg Laws What kind of speech would you give to your social studies class on the topic of Abraham Lincoln? Help me with this . A man walking down the street appears to have an illegal weapon. What can a police officer do?The officer must immediately go before a judge to obtain a search warrant.With reasonable cause, the officer can stop this individual and frisk him.With reasonable cause, the officer can arrest the individual without reading the Miranda warning.Nothing. The officer cannot stop anyone based on appearance alone. Why is the largest dna fragment band found closest to the well in which it was placed? What is the motion of the particles in this kind of wave?A. The particles will move up and down over large areas.B. The particles will move up and down over small areas.C. The particles will move side to side over small areas.D. The particles will move side to side over large areas. the enharmonic of gb is