find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches

Answers

Answer 1

since the diameter of the cylinder is 10, its radius is half that, or 5, thus

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=5\\ h=20 \end{cases}\implies V=\pi (5)^2(20)[/tex]

Related Questions

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2?

Answers

Note that (a+b)^2 = a^2 + 2ab + b^2. This is always true.

Let's re-write the given "ab = 8 and a^2+b^2=16" as
a^2 + 2ab + b^2 = 16 + 2ab, or, equivalently, as
(a+b)^2 = 16 + 2(8) = 32.
This is the answer we wanted.

A drawbridge in Jacksonville, FL, allows an average of 22 boats per day to pass. What does the point (4,88) on the graph mean in this situation?

Answers

The point (4,88) on the graph means that after 4 days, 88 boats will have passed under the bridge. (Third answer choice).

Answer: This shows, 'After 4 days, 88 boats will have passed under the bridge'.

Explanation:

Since, According to the question, Jacksonville allows an average of 22 boats per day to pass.

Thus we can say that number of boats is dependent on days and both are varying.

And, a function is the type of y=f(x), where x is independent variable while y is dependent variable.

So, we can take x for representing number of days and y for representing number of boats.

Thus, according to the question, y= 22x.

if we take 4 days i.e. x=4 then y=22×4=88

⇒It takes 4 days for an average of 88 boats.

Which is showing by (4,88) on the given graph.

Need the steps to get the answer 0.264 that is on my answer key textbook

Answers

Realize "%" means "/100".
26 2/5% = 26.4% = 26.4/100 = 264/1000 = 0.264

Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8

Answers

well, assuming is not inches, and instead is ln(x).

[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]

Answer:

[tex]x=7.39[/tex]

Step-by-step explanation:

we are given equation as

[tex]6+ln(x)=8[/tex]

Since, we have to solve for x

so, we will isolate x on anyone side

Firstly, we will subtract both sides by 6

[tex]6+ln(x)-6=8-6[/tex]

[tex]ln(x)=2[/tex]

now, we can take exponent of e on both sides

[tex]e^{ln(x)}=e^2[/tex]

now, we can use property of log

and we get

[tex]e^{ln(a)}=a[/tex]

we can use it

[tex]x=e^2[/tex]

So, solution is

[tex]x=7.39[/tex]

Give a description of a3/4 turn of the minute hand on a clock face

Answers

it's 9:00 because the clock only goes upto 12 and it well be 3/4 75% .so if 3*4 is 12 3*3=9

The length of a garden is 5m greater than the width. the area is 66m^2. Find the dimensions of the garden.

Answers

w^2+5w-66=0
Factor
(w+11)(w-6)=0

w+11=0
w=-11 (not possible - cant have negative length

w-6=0
w=6

L(6)=66
L=11

Width = 6
Length = 11

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

The point-slope form can be simplified from the 2-point form.

y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form

_____
Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4

Dennis surveyed 30 students to determine their favorite fall sports. Of the students surveyed, 15 preferred football, 6 preferred soccer, and the rest preferred volleyball. Which is a correct statement about the results from the survey?

Answers

Are the options to choose from? That is what it seems like.

Of the students surveyed, 30% preferred volleyball.

Anyone know the right answer?

Answers

Begin by understanding the word "per"

Whatever follows per is on the denominator of the fraction

So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.

If Sandy can afford car payments of $260 per month for 3 years, what is the price of a car that she can afford now? Assume an interest rate of 7.8 percent.

Answers

To get the type of car that Sandy can afford after 3 years, we find the future annuity of the his yearly deposits.
amount deposited by Sandy in a month is $260
amount deposited per year=260*12=$3120
time=3years
rate=7.8%

Fv of annuity= P[(1+r)^n-1]/r
substituting our values we get
Fv=3120[(1+0,078)^3-1]/0.078
=10109.06208
The value of a car he can drive is $10109.06208

if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25

Answers

The selling price is 2.5 times the cost. If the cost goes up by 0.25, the selling price needs to go up by 2.5*0.25 = 0.63 in order to maintain the gross margin.

What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3

Answers

The answer would be 2.16.

This is because the two negatives would cancel each other out when multiplying. This would basically make the question [tex]0.9*2.4[/tex].
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16

Two negatives terms multiplied together make a positive, so the product of (–0.9)(–2.4) will be equal to 2.16

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE know that Two negatives multiplied together make a positive, so the two negatives would cancel each other out when multiplying. This would basically make the solution.

WE have to find the product of (–0.9)(–2.4)

it’s simply (–0.9) x (–2.4) = 2.16

Now from the first option 3.3 is definitely not less than 2.4, so the answer would be positive 2.16

Hence, the product of (–0.9)(–2.4) will be equal to 2.16

Learn more about multiplications;

https://brainly.com/question/14059007

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Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters

Answers

we know that

[perimeter of rectangle]=2*(length+width)

Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

the maximum area is given by a square

the answer is
is a square of side 61 m

Helppp experrts/ace/geniuses

Answers

the irrational number would be square root 9/27

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day how many more cards does daisy design than Lisa

Answers

Daisy designs 30 cards
Lisa designs 12 cards

Difference in the number of cards
30 - 12 = 8

Daisy designs 8 cards more than Lisa.

Final answer:

To find out how many more cards Daisy designs than Lisa, subtract the number of cards Lisa designs from the number of cards Daisy designs. Daisy designs 18 more cards than Lisa.

Explanation:

To find out how many more cards Daisy designs than Lisa, we need to subtract the number of cards Lisa designs from the number of cards Daisy designs.

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day.

Therefore, Daisy designs 30 - 12 = 18 more cards than Lisa.

Learn more about Designing cards here:

https://brainly.com/question/27796394

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If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object?

A.60 square inches
B.66 square inches
C.63 square inches
D.56 square inches

Answers

8*9 = 72
u *v = 3 *4 = 12
72-12 = 60

3 *2 = 6/2 = 3

60 +3 = 63

Answer is C

The area of the object will be 63 square inches. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches.

All the dimensions are shown in the figure.

Then the area of the geometry is the combination of two rectangle and one triangle.

Area = area of rectangle 1 + area of rectangle 2 + area of triangle 3

Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2

Area = 40 + 20 + 3

Area = 63 square inches

Then the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

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find (f*f)(3) f(x)=x^2-x

Answers

fof(x) = f(x^2 - x) = (x^2 - x)^2 - (x^2 - x)
f(3) = (9 - 3)^2 - (9 - 3)
f(3) = 6^2 - 6
f(3) = 36 - 6 = 30

I wouldn't want to bet the farm on this. If you get another answer that is reasonable, take it.

To find (f * f)(3) for the function f(x) = x² - x, we calculate f(3) to get 6, and then square it to get 36.

The question is asking to calculate (f * f)(3) given the function f(x) = x² - x. To do this, we find the value of f(x) for x=3 and then square that result. First, let's compute f(3).

f(3) = (3)² - (3) = 9 - 3 = 6.

Now, we find (f * f)(3), which means f(3) * f(3).

(f * f)(3) = f(3) * f(3) = 6 * 6 = 36.

Therefore, the solution to (f * f)(3) is 36.

A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers

Answers

Make a proportion:

60 km/ 1 g = 240 km/ x

Cross multiply to find x.

60x = 240

x = 4 The bike would need 4 gallons of gasoline.

To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.

To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:

First, write down the given efficiency: 60 kilometers per gallon.

Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:

240 kilometers / 60 kilometers per gallon = 4 gallons.

Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.

After a concert for 1,600 people, only 4 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again?

Answers

The answer you are looking for is 0.25%.

To find this, you must first divide 4 by 1,600, to find the decimal amount of people who said they wouldn't go again. This would give you 0.0025, which you then multiply by 100 to make a percentage. Thus making 0.25%, the correct answer.

I hope this helps!

Answer:

0.25 percent

Step-by-step explanation:

which represents the solution(s) of the equation x2=289?

a. x equals the square root of 17
b. x equals positive square root of 17
c. x equals negative square root of 289
d. x equals positive square root of 289

Answers

The answer is D, since when you simplify the equation, you would sqrt each side of the equation, making the answer be the positive square root of 289.

Hope this helps!

Answer:

The answer are the options C and D

x equals negative square root of [tex]289[/tex]

x equals positive square root of [tex]289[/tex]

Step-by-step explanation:

we have

[tex]x^{2} =289[/tex]

Take square root both sides

[tex]x=(+/-)\sqrt{289}[/tex]

therefore

the solutions are

[tex]x=+\sqrt{289}[/tex]

[tex]x=-\sqrt{289}[/tex]

Find the next number sequence 192,96

Answers

the answer i think i is 192,961

A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?

Answers

If the perimeter is 102 inches, the sum of length and width is half that, 51 inches. This sum is
51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23

The length and width of the rectangle are 28 inches and 23 inches, respectively.

The probability is 0.2 that a person shopping at a certain store will

Answers

Your question is incomplete

The sum of 4 consecutive odd numbers is 40. What is the 2nd number in this sequence?

Answers

Try this option (it is not the only way):
1. if to use for consecutive odd numbers: n; n+2; n+4 and n+6), then it is possible to write their sum in equation: n+n+2+n+4+n+6=40.
2. if to solve this equation: n=7 it means that 7 - the 1st number of the given sequence.
Using n=7 the 2d number of this sequence is n+2=9.

answer: 9.

Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?

Answers

8 because 2^3 or 2 x 2 x 2 = 8

Which of the following is a negation of the statement below?

All students like math.

Answers

in fact, i do not see the answer from the choices that i like, so i will let some one else answer All students do not like math. is wrong since all we need is one that does not like math i hope this helps you

Answer:

All students do not like math

Step-by-step explanation:

Because if it was 'No students do not like math' would mean 'all students like math'

The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?

Answers

9 and 29 would be your answer. Because there is a 20 difference in the two numbers and they equal 38 when added together. Hope this helps!

x= smaller number
x+20= larger number

Add the two numbers together and solve for x.

x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number

To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number

CHECK:
9 + 29= 38
38= 38

ANSWER: The smaller number is 9 and the larger number is 29

Hope this helps! :)

A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon

Answers

First compute the probability of getting an orange marble.
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.

PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.

Answers

THE AREA IS 20 UNITS BECAUSE IF YOU DIVIDE IT INTO 2 SQUARES, THE FIRST ONE IS 4*3=12. THE SECOND ONE IS 2*4=8.
12+8=20.

HOPE THIS HELPED☺☺

Answer:

Step-by-step explanation:

Find the general solution of the differential equation y'' - 2y' - 3y = -3te^(-t)

Answers

Consider this solution. Pls, make a design according the local requirements.

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