A cube has an edge of 2.25 feet. The edge is increasing at the rate of 1.25 feet per hour. Express the volume of the cube as a function of h, the number of hours elapsed.

Answers

Answer 1

Answer:

[tex]V(h)=(1.25h+2.25)^3[/tex]

Step-by-step explanation:

Recall that the volume of a cube is given by:

[tex]\displaystyle V = s^3[/tex]

Where s is the side length of the cube.

The edges of the cube has an original length of 2.25 feet. It increases by 1.25 feet per hour. In other words, the length s after h hours can be modeled by the equation:

[tex]s=1.25h+2.25[/tex]

Substitute. Hence, our function is:

[tex]V(h)=(1.25h+2.25)^3[/tex]


Related Questions

A 90% confidence interval is (35 45). What is the margin of error?
A. 5
B.4.5
C.9
D.10

Answers

Answer:

option A 5

I hope it's correct

.....

How to make my answer for 0.70 a fraction

Answers

Answer:

0.70 = 7/10

Step-by-step explanation:

Answer:

70/100 or 7/10 (Simplified)

Step-by-step explanation:

0.70 is basically .70 of 1. You can wrote this as a fraction, 70/100. If you divide 70 by 100, it gives you .70.

If you want to simplify it, it becomes 7/10, and if you divide 7 by 10, it also gives you 0.70.

Depends if you want your fraction simplified or not.

have a great day.

Please I need the answer according to steps

Answers

Answer:

Factorise out x and y terms:

[tex]{ \tt{ = \frac{ {x}^{2} {y}^{4} (5x - 3y)}{45} }} \\ [/tex]

please can anyone help me with this question what is the probability of the spinner landing on an even number.​

Answers

1/2 chance it will land on an even number


Explanation there is 4 even numbers and 4 odd numbers meaning it’s a 50/50 chance

find the sum of all multiples of 9 between 0 and 200​

Answers

Answer:

I thick the answer is 2277

Trish's punch recipe calls for 8 liters of lemon-lime soda and 4 liters of cranberry juice, Jenny's punch recipe requires 7
liters of lemon-lime soda and 6 liters of cranberry juice. Which recipe has a higher ratio of lemon-lime soda to cranberry
juice?
( A, neither, the ratios are equivalent
B. Trish's recipe
c. Jenny's recipe
D. not enough information

Answers

B because it’s shows that 8-4=4 and 7-6=1 so there’s your answer

According to this diagram, what is tan 62°?
62°
17
18
280
90°
15
O A.
8
17
OB.끝
O c. 1
8
15
D.
15
8
O
E.
17
15
F.
15
17

Answers

Answer:

15/8

Step-by-step explanation:

tan(62)=P/B

tan(62)=15/8

5 A machine puts tar on a road at the rate of 4 metres in 5 minutes.
a) How long does it take to cover 1 km of road
b) How many metres of road does it cover in 8 hours?​

Answers

Answer:

5 a) Total = 20.83 hrs = 20 hrs and 50 mins  (1250mins total)

5 b) Total = 96 meters. = 0.096km in 8 hrs.

Step-by-step explanation:

1km = 1000 meters

5 mins = 4 meters

1000/4 = 250 multiplier

250 x 5mins = 1250 minutes

1250/60 = 20hrs + 50 minutes

50 / 60 =  0.83 = 20.83hrs

b)  8 hrs = 8 x 60 = 480 minutes

480/5 = 24 multiplier of 4 meters

24 x 4 = 96 meters

What is the volume of the cone

Answers

Answer:

The volume of this cone would be approximately equal to 2787.64 [tex]yd.^2[/tex].

Step-by-step explanation:

The formula used to calculate the volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex] where [tex]r[/tex] represents the radius of the circle at the base of the cone, and [tex]h[/tex] represents the vertical height of the cone. In this case, [tex]r[/tex] equals the diameter of the base divided by two, which is [tex]\frac{22}{2}[/tex] or 11 yards; and [tex]h[/tex] is equivalent to 22 yards. Insert these values into the formula and you'll get that the volume of this cone is equal to [tex]11^2*\pi*\frac{22}{3} = 121\pi * \frac{22}{3}[/tex] ≈ 2787.64 [tex]yd.^2[/tex], so that is the correct answer.

Pls if anyone knows the answer with work included/steps that will be greatly appreciated :) for 6 just want to know is it w y x or z

Answers

Answer:

Step-by-step explanation:

Let's begin calculating the MPH for Fran.: Joanne's MPH is 250 / 2.5 = 100 MPH.

Now I'm going to subtract the 100 MPH by Fran. going 10 MPH less: 100 - 10 = 90.

I can't see the bottom part of the graph, so based on the MPH, it might be X, if you could put a better picture it would be better!

Which two shapes make up the digital camera below?

Answers

Rectangular prism and cylinder

Rectangular prism and cylinder make up a camera.

What is rectangular prism and cylinder?

A cube is a rectangular prism with all of its sides being the same length, a triangular prism has a triangle as its base, and a rectangular prism has a rectangle as its foundation. Another form of right prism that has a circle as its basis is a cylinder.

A rectangular prism includes a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it contains three dimensions- the base width, the height, and the length. The top and base of the rectangular prism exist rectangular. The pairs of opposite faces of a rectangular prism exist as identical or congruent.

A cylinder contains traditionally been a three-dimensional solid, one of the most essential curvilinear geometric shapes. Geometrically, it includes been regarded as a prism with a circle as its base.

Hence, Rectangular prism and cylinder make up a camera.

To learn more about rectangular prisms and cylinders refer to:

https://brainly.com/question/15594686

#SPJ2

This graph represents which of these expressions?

Answers

Answer:

x > 43

Step-by-step explanation:

Open circle at 43, which means it is not equal to 43

Line goes to the right, which means x is greater than

x > 43

Answer:

B

Step-by-step explanation:

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4L TO 7.2 L

Answers

9514 1404 393

Answer:

  5/9

Step-by-step explanation:

  [tex]\dfrac{4\text{ L}}{7.2\text{ L}}=\dfrac{40}{72}=\dfrac{5\cdot8}{9\cdot8}=\boxed{\dfrac{5}{9}}[/tex]

What is the value of the capacitance of a capacitor that stores 40
μ
C on each plate, when a potential difference of 10 V is applied to it?

Answers

Charge=Q=40uCPotential difference=V=10VCapacitance=C=?

We know

[tex]\boxed{\sf Q=CV}[/tex]

[tex]\\ \large\sf\longmapsto C=\dfrac{Q}{V}[/tex]

[tex]\\ \large\sf\longmapsto C=\dfrac{40}{10}[/tex]

[tex]\\ \large\sf\longmapsto C=4\mu F[/tex]

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
* Infinitely many solutions exist because the two situations describe the same line.
* Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
* No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
* Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.

Answers

Answer:

There is no solution to this.

Explanation :

We have a double system of equation to solve. Let x be the big number and let y be the smaller number, such that y < x.

x is equal to twice a smaller number plus 3, which translates into : x = 2y + 3

and x is equal to twice the sum of the smaller number and 1 : x = 2 * (y + 1)

We get this system to solve : [tex]\left \{{{x=2y+3} \atop {x=2(y+1)}} \right. \left \{{{x-2y=3} \atop {x-2y=2}} \right.[/tex]

It's either x minus 2y equals 3, or x minus 2y = 2 but it can't be both. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts

solve similar triangles (advanced)
solve for x

Answers

Answer:

x = 27/8

Step-by-step explanation:

We can write a ratio to solve

x               3

------- = ----------

x+9           11

Using cross products

x*11 = 3(x+9)

11x = 3x+27

Subtract 3x from each side

8x = 27

8x/8 = 27/8

x = 27/8

2(4×+2)=10
[tex]6 \times + 4 = 10 \\ \\ 6 \times = 10 - 4 \\ \\ 6 \times = 6 \\ \\ [/tex]
that is the answer

Answers

Answer:

x = 3/4

Step-by-step explanation:

2(4x + 2) = 10           Remove the brackets

8x + 4 = 10               Subtract 4 from both sides

8x = 6                       Divide by 8

x = 6/8

x = 3/4

Check

2(4*3/4 + 2) =?10

2( 3 + 2) = 10

2*5 = 10

10 = 10

Your parents deposit 2 50-dollar bills at the bank.
How much money did they deposit?

Answers

$100 is what they deposited!!

Answer: $100

Step-by-step explanation:

Considering 50 + 50 = 100

This means that the amount of money is $100

Find the product:
1 -1 2
12 1 0] -1 -2 1 [a b c
0 1 1
a
12
b=0

Answers

Answer:

[tex][1, -4 ,5][/tex]

Step-by-step explanation:

In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.

To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.

[tex]a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1[/tex]

[tex]b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4[/tex]

[tex]c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5[/tex]

What is the lengh of the line

Answers

Answer:

√45 or 3√5

Step-by-step explanation:

> There are 14 books on a shelf. 6 of these books are new. The rest of them are used (a) What is the ratio of new books to used books? (b) What is the ratio of used books to all books on the shelf ​

Answers

Answer:

a) 6:8

Because you have 14 books total if you substract 14 - 6= 8, so now you have

14 Books total

6 New Books

8 Used Books.

So, the ratio of new books to used books is 6:8 or if you simplified is 3:4.

b) 8:14

Because you have 8 used books compare to 14 books total. If you simplified your fraction you'll have 4:7

Step-by-step explanation:

Complete the table for the given rule.
Rule: y is 0.75 greater than x
x y
0
3
9

Answers

The complete table is

x    y

0    0.75

3     3.75

9     9.75

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

What is substitution?

Substitution means putting numbers in place of letters to calculate the value of an expression or equation.

According to the given question.

We have values of x.

Also, one rule that y is 0.75 greater than x.

So, we have a equation for finding the value of y  i.e.

[tex]y = x + 0.75..(i)[/tex]

For finding the value of y

At x = 0, substitute x = 0 in equation (i)

[tex]y = 0 + 0.75\\\implies y = 0.75[/tex]

At x = 3, substitute x = 3 in equation (i)

[tex]y = 3+0.75\\\implies y = 3.75[/tex]

At x = 9, substitute x = 9 in equation (i)

[tex]y = 9+0.75\\\implies y = 9.75[/tex]

Hence, the complete table is

x    y

0    0.75

3     3.75

9     9.75

Find out more information about equation and substitution here:

https://brainly.com/question/10852714

#SPJ2

2( 1/5 m− 2/5 )+ 3/5

Answers

Answer:

2m/5-1/5

Step-by-step explanation:

2*m-2/5+3/5

2(m-2)/5+3/5

2(m-2)/5+3/5

2m-4/5+3/5

2m/5-1/5

How do you Find the acute Angle A when sinA=0.616?

Answers

Answer:

arcsin0.616

Step-by-step explanation:

arcsino.616

30 is what percent of 44?

Answers

Answer:

68.18

Step-by-step explanation:

Set up an equation

[tex]\frac{44x}{100} =30[/tex]

→ Times both sides by 100

44x = 3000

→ Divide both sides by 44

68.18

A broken pipe is leaking at a rate of 200 fluid ounces per
minute. How many gallons per hour will leak from the
pipe?

Answers

Answer:

93.75 gal/hr

Step-by-step explanation:

200 oz · 60 mins = 12000 oz/hr

1 gal ⇔ 128 oz

12000 oz/128 oz = 93.75 gal

Worth a lot of points.

Answers

Answer:

It's the last one.

Step-by-step explanation:

For example, if you have 0, the absolute valeu of 0 is 0. A postive number like 2, has an absolute value of 2. 0 is not greater than 0 and 2 is not greater than 2. Hope this helps!

Answer: Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.

Absolute numbers cannot be negative numbers. Therefore, an absolute number of a positive number will always be the positive number.

Write the additive inverse of each of the following rational numbers:

Answers

Answer:

(1)-3/4, (2) 5/21, (3)4/43

Factorise: x^3 + x^2 + x^2y + xy + y

Plz also show me the process.

Answers

Factor out the greatest common factor from each group.
x^2 (x-1y)-y^2(x-y)

Factor the polynomial by factoring out the greatest common factor, x-1y
(x-1y)(x^2-y^2)

rewrite -1y as -y.
(x-y) (x^2-y^2)

Factor.
(x-y)(x+y)(x-y)

Combine exponents.
(x-y)^2 (x+y) (your answer)

really hoped this helped. :)




HELPPPPP ASP PLZZZZZ

Answers

Answer:

[tex](f-g)(x)[/tex]

[tex]f(x)-g(x)[/tex]

[tex]x^{2} -6x-27-x+9[/tex]

[tex]x^{2} -7x-18[/tex]

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

[tex](f*g)(x)[/tex]

[tex]=f(x)g(x)[/tex]

[tex](x^{2} -6x-27)(x-9)[/tex]

[tex]=x^{3} -15x^{2}+27x+243[/tex]

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

[tex]\frac{f}{g} (x)[/tex]

[tex]\frac{x^{2} -6x-27}{x-9}[/tex]

[tex]\frac{(x-9)(x+3)}{x-9}[/tex]

[tex]x+3[/tex]

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

[tex](f+g)(x)[/tex]

[tex]f(x)+g(x)[/tex]

[tex]=x^{2} -6x-27+x-9[/tex]

[tex]=x^{2} -5x-36[/tex]

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

OAmalOHopeO

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

Other Questions
What are examples of associates degrees PLZ ANSWER QUICKForest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table. To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample acc 430 Firm B, a calendar year, cash basis taxpayer, leases lawn and garden equipment. During December, it received the following cash payments. To what extent does each payment represent current taxable income to Firm B .......plz answer it plz On January 1, 2021, Calloway Company leased a machine to Zone Corporation. The lease qualifies as a sales-type lease. Calloway paid $330,000 for the machine and is leasing it to Zone for $40,000 per year, an amount that will return 10% to Calloway. The present value of the lease payments is $330,000. The lease payments are due each January 1, beginning in 2021. What is the appropriate interest entry on December 31, 2021 13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons ofpepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of eachingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of yourwork. Is -15 an imaginary or irrational number? Write 2 versions of a paragraph describing an experience you have had. 1) 4+8r-6r=6+2r2) 1-3x=-6+7-2x-x 1. How________ is it from here to the nearest supermarket? - Its about 500 meters.A. far B. long C. difficult D. nice2. My English teacher, Mr. Nam, often drives his car________ on the way to school.A. careful B. caring C. carefully D. careless3. When I was at primary school. My father________ me to school every day.A. takes B. is taking C. used to take D. is used to taking4. There________ a stadium in the town but now there isn't.A. use to be B. was used to C. is used to D. used to be5. She didnt use to ________in the hospital.A. work B. working C. to work D. worked6. Did you________ to the cinema when you lived in London?A. used to go B. were used to go C. use to go D. were used to going7. We go to the _______to watch a film.A. stadium B. hospital C. restaurant D. cinema8. The traffic light turns______, you should stop your vehicle.A. pink B. red C. yellow D. green9. The film is too _______to show to children.A. violence B. violent C. violently D. interested10. He was _______ that Tom couldnt come to his party.A. disappoint B. disappointedly C. disappointed D. disappointing11. A film that shows actual events is called a _______A. horror B. thriller C. comedy D. documentary12. I love traveling by______ because I can see the whole city from above the sky.A. bus B. boat C. train D. airplane13. How far is ______ from you school to the bus stop?A. that B. it C. this D. there14. The Beatles is my favorite musical band. I love all their______A. performing B. performance C. performed D. perform15. The film is _______ a beautiful princess.A. on B. about C. in D. up16. How ______is this festival held? - It is held every two years.A. long B. far C. often D. much17. ______did the package come from?- Hanoi.A. When B. Where C. Which D. Who18. ______ money does your mother earn? - About $300 a month.A. How much B. Where C. Which D. How many19. ______ is it to the supermarket? - About five hundred meters.A. How much B. How far C. How long D. How often20. ______ do you like that festival? Because it is an interesting thing of Vietnamese cultureA. What B. How C. When D. Why21. _______ does it take you to walk to school?A. How much B. How far C. How long D. How often22. I am interested reading books.A. on B. of C. in D. by23. Lan: Could I borrow your calculator? - Pike:_______.A. Yes, you could. B. Yes, you can. C. Yes, you do. D. Yes, you will.24. My home is far______ the cinema.A. at B. from C. after D. for25. The people who watch a film are called _______.A. directors B. actors C. characters D. audiences26. We are not allowed to ride motorbike without wearing a _______.A. helmet B. mask C. watch D. ring27. Solar energy, air and water are _______.A. renewable B. limited C. restricted D. narrow28. Although nuclear power is clean and plentiful, it is not _______A. dangerous B. unsafe C. safe D. renewed29. Solar energy can be changed into _______.A. electricity B. electric C. electrician D. electrical30. I _______ for you at this time next week.A. will waiting B. will be waiting C. will be waited D. will be wait31. What _______at 2 p.m tomorrow?A. will you be doing B. will you doC. you will be doing D. you will do32. This table_______ to another room this weekend.A. will be moving B. will moving C. will move D. will be moved33. He enjoys ______a horse when he has free time. A. riding B. flying C. pedaling D. driving34. This is her bag and that is______A. I B. me C.my D. mine35. She didnt phone you, _______? A. did she B. didnt she C. does she D. doesnt she36. Youve won the competition, _______?A. have you B. has he C. havent you D. hasnt he37. The ring belongs to my mother. The ring is_____.A. his B. hers C. her D. she38. The_____ of the world is growing at a dangerous rate.A. populous B. popular C. population D. populate39. September has _____days than October.A. less B. fewer C. more D. few40. A hydro power station _______in this area next month.A. will be built B. will build C. will be building D. will built are standard electrode potential and standard hydrogen potential same? If the researchers in the third study wanted to test the influence of aging on context-dependent memory effects, they could:A.show the faces to the older adult participants in one room, then move half of these participants to a new room to identify faces.B.show the faces to all participants in one room, then move half of the participants in each group to a new room to identify faces.C.provide background information about the faces to half of the older adult participants while faces are being memorized.D.provide background information about the faces to half of participants in each age group while faces are being memorized. A technique that uses data that is labeled to train or teach a machine.ReinforcementUnsupervisedSupervised The assertion that non formal institution have no role to play in the processing stage of the system theory is an empty rhetoric The table shows the length and width of Florida at its most distant points.Determine the prime factorization of the length . Use "^" for the exponent and "x" for the multiplication.Measurement. Distance (mi)Length. 500Width. 160 An example of prime factorization is the following:Find prime factorization of 50.1st find the factors of 50 until you only have prime numbers.1x502x25=2x5x5So the prime factorization of 50 is: 2x5^2 Please help its due in 30 minutes will mark braniliest Consider the following polynomial expression: 4x5 - 16x2 + 13x8.Part D: what is the leading term ? A trapezoid is a polygon that has exactly one pair of parallel sides.Select one:TrueFalse maya Angelou poem,visit to west Africa what are the possible meanings of the poem