F varies directly with m and inversely with the square of d . If F = 60 when m = 1470 and d = 7 , find F when m = 2560 and d = 8

Answers

Answer 1

Answer:

80 is the answer

Step-by-step explanation:

The direct variation is given by:

[tex]F=k\,\frac{m}{d^2}[/tex]

So given the values for each variable, we can find the constant of proportionality k:

[tex]F=k\,\frac{m}{d^2} \\60=k\,\frac{1470}{7^2} \\k = \frac{60*49}{1470} \\k=2[/tex]

Then we can now find what the value is when m = 2560 and d = 8 by using the proportionality equation with k = 2:

[tex]F=2\,\frac{m}{d^2} \\F=2\,\frac{2560}{8^2}\\F=80[/tex]


Related Questions

Help Needed ASAP Someone gets Points

Answers

Answer:

2by5 is the correct answer

Step-by-step explanation:

4×1/2=2

10×1/2=5

what is the image of (-9,-1) after a dilation by a scale of 2 centered at the origin

Answers

The answer is (-18, -2). Just multiply by 2!

A square wrestling mat has a side length of (4x – 1) feet. Which expression represents the area of the mat?

Answers

Answer:

S = (4x-1)²

Step-by-step explanation:

I put a few photos of the questions (20 points)✞

Answers

Answer:

Thanks mate.

Step-by-step explanation:

6 - 2x = 5% - 9x +14

Answers

Answer:

Hi! The correct answer is x = 4!

Step-by-step explanation:

~isolate the variable by dividing each side by factors that don't contain the variable~

A is directly proportional to B and when A = 4 , B = 8 8. Find A when B = 44 .​ please can I have the working out

Answers

Answer:

A = 2

Step-by-step explanation:

If A = 4 when B = 88, we can divide both A and B by 2 to find their values.

88/2 = 44

4/2= 2

We can also check this by dividing 88 by 4 to figure out that A = 1 when B = 22

We can then multiply both the values of A and B to get a proportional relationship of A = 2, B = 44

(sorry if this is confusing but I hope it helped)

??????????????????????????????????

Answers

Answer:

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

Step-by-step explanation:

equation of line formula:

[tex]y = mx + c[/tex]

m = slope

c = y-intercept

1) find m

slope formula:

[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

take 2 coordinates from the given graph and substitute the values into the slope formula

i) (-1,0)

[tex]x _{1} = - 1[/tex]

[tex]y_{1} = 0[/tex]

ii) (3,2)

[tex]x_{2} = 3[/tex]

[tex]y_{2} = 2[/tex]

substitute the values into the slope formula

[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]

[tex]m = \frac{2}{4} [/tex]

[tex]m = \frac{1}{2} [/tex]

2) find the half equation of the line by substituting the value of m into the equation of line formula

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

3) find c by substituting either coordinate into the half equation

(3,2)

x = 3

y = 2

[tex]2 = \frac{1}{2} (3) + c[/tex]

[tex]2 = \frac{3}{2} + c[/tex]

[tex]2 - \frac{3}{2} = c[/tex]

[tex] \frac{1}{2} = c [/tex]

[tex]c = \frac{1}{2} [/tex]

4) find equation of line by substituting the value of c into the half equation

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

Xavier gives eight packs of gum to his four friends. If the friends share the gum equally, how many packs of gum does each friend get? Write the answer as a mixed number

Answers

Answer:

2

Step-by-step explanation:

Simplify -5-x+4x-4

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

Answers

Final Answer: [tex]3x - 9[/tex]

Steps/Reasons/Explanation:

Question: Simplify [tex]-5 - x + 4x - 4[/tex].

Step 1: Collect like terms.

[tex](-5 - 4) + (-x + 4x)[/tex]

Step 2: Simplify.

[tex]-9 + 3x[/tex]

Step 3: Regroup terms.

[tex]3x - 9[/tex]

~I hope I helped you :)~

Answer: 3x-9

Step-by-step explanation:

Subtract the numbers

-5 - x + 4x -4x

-9 - x + 4x

Combine like terms

_______________

-9-x+4x

-9+3x

Rearrange terms

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

-9+3x

3x-9

which ordered pair is a solution to the system of inequalities?

Answers

Answer:

Option A

Step-by-step explanation:

System of the inequalities is,

y ≥ 2x

y < x + 4

By satisfying these inequalities with the points given in the options we can get the answer.

Option (A). (2, 5)

y ≥ 2x

5 ≥ 2(2)

5 ≥ 4

True.

y < x + 4

5 < 2 + 4

5 < 6

True

Therefore, Option (1) is the answer.

Option (B) (1, 6)

y ≥ 2x

6 ≥ 2(1)

6 ≥ 2  

True.

y < x + 4

6 < 1 + 4

6 < 5

False.

Therefore, it's not the solution.

Option (C) (2, 3)

y ≥ 2x

3 ≥ 2(2)

3 ≥ 4

False.

y < x + 4

4 < 2 + 4

4 < 6

True.

Therefore, It's not the solution.

Option (D) (1, 5)

y ≥ 2x

5 ≥ 2(1)

5 ≥ 4

True.

y < x + 4

5 < 1 + 4

5 < 5

False.

Therefore, It's not the solution.

2/3w=3/4
Pls help explain answer too pls

Answers

Answer:

w=9/8

Step-by-step explanation:

i searched it up XD

PLZZZ ANSWERR 20 points Select correct answer
In the figure, angle A measured 41* and angle D measures 32*. What is the he measurements of angle E

Answers

It’s 10 points not 20
Explanation


Work out m and c for the line:
3y + 2x = 1

Answers

Answer:

3y=1-2x

y=(1-2x)/3

m=-2/3x

c=1/3

Step-by-step explanation:

Johnny's inspecting the finished toys in toy factory he found that 4 the toys were damaged and 16 were not based on this data how many of the next 20 toys would you expect to be damaged. Please explain I do not understand

Answers

Answer:

4 is expected to be damaged out of the next 20

Step-by-step explanation:

From the observation made, we have that 4 of the toys were damaged and 16 were not damaged

Thus, the probability of having a damaged toy is 4/20 = 1/5

Now, for the next 20; we have 1/5 of them expected to be damaged

So, the expected damaged number out of the next 20 will be:

1/5 * 20 = 4

-x=9 pls help I’m behind

Answers

Answer: x = 10

Step-by-step explanation:

-x = 9

Whenever there's a negative number you always know there's a 1 in front of the x

-1x =9

+1 +1

equals x= 10

Find slope from the given two coordinates:
(3, 4) and (0, -1)

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

I know that the slope is 5/3 because the rise or y is 5 and run or x is 3. Rise/Run = 5/3.

For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth.

Answers

Area=base * height. So you would multiply 6 and 6 and get 36 but since it’s a triangle and not a square, the area gets split in half. So the actual answer would be 18.

First 2 answer right is marked brainliest!!

Answers

Answer:

c I think it might be c

Step-by-step explanation:

Answer:

A) 14 because 14 to the power of 2 ( or 14 x 14 ) is 196 and -14 because its the opposite.

Step-by-step explanation:

Question 1 djciejcnejfienxnej

Answers

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]

y = x/3 + 1

x = -6 , y = -1

x = -3 , y = 0

x = 0 , y = 1

x = 3 , y = 2

x = 6 , y = 3

They already answered it

I need help on this can u plz help

Answers

Answer:

Your answer(s) are A because 0,0 goes through the point also D cause it goes through and E

Step-by-step explanation:

A,D,E hope its right:()

Find the slope and the y-intercept of the graph of y-1 = 3x + 8.4.
The slope is
The y - intercept is

Answers

the slope is 3 and the y-intercept is (0, 9.4)

Step-by-step explanation:

Write the equation for:

One-half of a number added to itself equals twice the difference of the number and four


Plz help :)
I really need help

Answers

Answer:

[tex]\frac{1}{2} x +x = 2 (x-4)[/tex]

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

[tex]\frac{1}{2} x +x = 2 (x-4)[/tex]

Simplifying it further

[tex]\frac{3}{2} x = 2x-8[/tex]

[tex]\frac{3}{2} x -2x=-8[/tex]

[tex]\frac{3x-4x}{2}= -8[/tex]

[tex]-x= -16\\x=16[/tex]

Rita bought 4 rulers for $4.00. If r represents the number of rulers purchased, which equation represents this situation?

Answers

Answer: 4r = 4

Step-by-step explanation:

Ruth bought 4 rulers and each ruler is to be represented by r. She therefore bought:

= 4r

She bought these for a total of $4.00 so the equation then becomes:

4r = 4.00

Equation representing situation is: 4r = 4

Bob completed a race in half of an hour. He ran 4 laps. Each lap was ran equally. How much of an hour did bob run on each lap?

Answers

Answer:

Time taken for each lap = 3/8 of an hour

Step-by-step explanation:

Given:

Time taken for 4 laps = [tex]1\frac{1}{2}[/tex] = 3/2 hours

Find:

Time taken for each lap

Computation:

Time taken for each lap = Time taken / Number of laps

Time taken for each lap = (3/2) / 4

Time taken for each lap = 3/8 of an hour

EZ 25 POINTS!!!!!

Solve. Draw a number line to show your solution.
9.8 + (-0.8)

UPLOAD A PICTURE SHOW YOUR NUMBER LINE

Answers

Answer: 9

Step-by-step explanation:

Help please 30 points please please help

Answers

Answer:

i only know the second answer

Step-by-step explanation:

according to the properties of parallel lines

alternate angles in parallel line are equal

therefore,

2x+12 = 3x - 22

2x = 3x -22 - 12

2x = 3x - 34

34 = 3x - 2x

34 = x

therefore x = 34

Answer:

x = 34

Step-by-step explanation:

A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?​

Answers

Length of a carton :

[tex] = \frac{22}{3} \: feet[/tex]

Width of the carton :

[tex] = \frac{11}{8} \: feet[/tex]

Height of the carton :

[tex] = \frac{11}{5} \: feet[/tex]

Volume of the carton :

= Length × Width × Height

[tex] = \frac{22}{3} \times \frac{11}{8} \times \frac{11}{5} [/tex]

[tex] = \frac{2622}{120} [/tex]

[tex]\color{hotpink} = 21.85 \: feet[/tex]

Therefore, the volume of the carton = 21.85 feet.

Can someone please tell me how to do this?

Answers

Answer:

x = 10

Step-by-step explanation:

5x - 20 = 2x - 10

-2x         -2x

3x - 20 = -10

    +20   +20

3x = 30

x = 10


How many solutions does the equation
-2(x + 4) = -2(x + 4) - 6 have?

Answers

-2x - 8 = -2x - 8 - 6
-2x - 8 = -2x - 14
-8 = -14, false
Solution: no solution

A square has a side length of (x+4). What is the expression that represents the area of the square?

x2+16x squared plus 16

x2+8x+16x squared plus 8 x plus 16

x2+16x+16x squared plus 16 x plus 16

x2+8x+8

Answers

second one how this helped

The expression x² + 8x + 16 represents the area of the square.

What is the area of the square?

The area of the square is defined as the product of the length and width.

Given data as:

A square has a side length of (x+4)

The area of the square = (x+4)(x+4)

The area of the square = (x+4)²

The area of the square = x² + 2(x)(4) + 4²

The area of the square = x² + 8x + 16

Hence, the expression x² + 8x + 16 represents the area of the square.

Learn more about the area of the square here:

https://brainly.com/question/1561162

#SPJ2

Other Questions
cnn 10 5 facts january 4th 2021 cause of world war I which of the following did King Louis IX of France do in order to obtain saint hood and become one of the most beloved monarchs in all the French history?he improved Royal government by sending out traveling officials to check on local administratorsto ensure Justice he sat in on court caseshe expanded Royal courts outlawed private wars and ended a serfdom in personal domainall of the above PLZ HELP just right counter claims to both the claimsYou practiceClaim: Year-round school provides more learning opportunities.Counter claim:Claim: School uniforms create a businesslike environment.Counter claim: Multiple Representations A store advertises a 20 % markdown on a dishwasher with a selling price of $952. Find the sale price. This is the greatest possible markdown that the store can discount the dishwasher without losing money. What does this tell you about the cost? Folding of the _________ allows for its __________square-foot surface area to fit into the skull. A. cerebral cortex . . .1.5 B. corpus callosum . . . 2.5 C. right hemisphere . . . 2.5 D. cerebrum . . .1.5 What is the value of v? Order the integers from least to greatest.-15, 0, -5, -8A. 0,-5,-8, -15B. 0,-15,-8,-5C. 0-15, -5, -8,0D. -15, -8,-5,0 I will mark brainliest!! Help a student in desperate need, please!! Reda would like to calculate her monthly payment for a car loan. How can she do this? Jostens Co. had 200,000 shares of common stock, 20,000 shares of convertible preferred stock, and $1,000,000 of 10% bonds outstanding during 2017. The preferred stock is convertible into 20,000 shares of common stock. During 2017, Jostens paid endives of $1.20 per share on its common stock and $3.00 per share on its preferred stock. Each $1,000 bond is convertible into 30 shares of common stock. The net income for the year ended December 31,2017 was $80,000. Assume the income tax rate was 30%. Diluted earnings per share of 2017 (rounded to the nearest penny) are: Select one: a. $3.64 b. $3.72 c. $3.36 d. $3.48 e. $3.22 Truth Through Humor?EXPLORING SATIREThis is a satirical cartoon from Arizona State Universitys student paper, The State Press.Use the pins below to label the elements used in creating this satire.Then, scroll down to record your thoughts on the message of the piece.Image Credit: ASU State PressWhat is the message of this satirical piece? Technician A states that recalls are called for by a manufacturer only when enforced by law. Technician states that manufacturers may choose to voluntarily conduct a recall to ensure the sate operation of the vehicle . Who is correct? what is acceleration? if the total debt in 2012 was 2978 billion, about how much was total credit card debt Truck pull the car 2350 KG a distance of 25 m. If they car accelerates from 3M/S to 6M/S, whats the average force exerted on the car A 40acre field produces 600 bushels of wheat. At the same rate, how many bushels will a 75acre field produce? you estimate the distance for your house to the park to be 3.2 miles. the actually distance was 2.8 miles. find the percent error The organizational pattern of presenting the problem and then providing a solution allows the reader to A. grieve the loss of lives at Auschwitz and celebrate with those who survivedB. visualize the tragedies of Auschwitz and acknowledge the injustices around the worldC. identify what led to Auschwitz and compare the experience with present-day eventsD. empathize with the victims of Auschwitz and prevent similar events from happening again How ong does it take to get pregnant