F varies jointly as q1 and q2 and inversely as the square of d.

If F=8 when q1=2, q2=8, and d=4, find F when q1=28, q2=12, and d=2

Answers

Answer 1

Answer:

F =672

Step-by-step explanation:

joint variation is of the form

F = k *q1 * q2

Inversly means divide

F = k * q1 * q2

     -------------------

              d^2

We know  F=8 when q1=2, q2=8, and d=4  so we can solve for k

8 = k * 2*8

    -----------------

          4^2

8 = 16k

     ----

     16

8 = k

Substituting

F = 8 * q1 * q2

     -------------------

              d^2

Let q1=28, q2=12, and d=2

F = 8 * 28 * 12

   ----------------

    2^2

F = 2688

      -------

         4

F =672

Answer 2

We are given:

F varies jointly (directly) with q1 and q2, which means that F is proportional to both q1 and q2. also,

F varies inversely with d², so F is inversely proportional to the square to d

Finding a mathemetical experssion:

using the above information, we can say that:

F ∝ q₁

F ∝ q₂

F ∝ 1/(d²)

joining these together, we get:

F ∝ q₁q₂ / d²

let's say that 'k' is the constant of proportionality in this case,

F = k (q₁q₂ / d²)

First case:

F = 8, q₁ = 2, q₂ = 8, d = 4

we can use these values in our expression to find k

[tex]8 = k\frac{2*8}{4^2}[/tex]

[tex]8 = k\frac{16}{16}[/tex]

k = 8

Finding F in the second case:

q₁ = 28, q₂ = 12, d = 2, k = 8

[tex]F = k\frac{q_{1}*q_{2}}{d^2}[/tex]

[tex]F = 8(\frac{28*12}{2^2})[/tex]

[tex]F = 8(\frac{336}{4})[/tex]

[tex]F = 2(336)[/tex]

F = 672 N


Related Questions

Lucky wom $500 in a lottery. She used 25% of her money to buy candies and saved the rest. How much money did she use? Write the answer as fraction and decimal.​

Answers

Answer:

1/8 1.25

Step-by-step explanation:

524cars/4weeks find unit rate​

Answers

9514 1404 393

Answer:

  131 cars/week

Step-by-step explanation:

Finish simplifying the fraction you wrote:

  (524 cars)/(4 weeks) = (524/4) cars/week = 131 cars/week

WILL MARK BRAINLIEST <3 Each of the letters in the word "HANDIWORK" are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will fall between "F" and "Q" in the alphabet?
5/9
3/9
1/2
7/9

Answers

The probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9. Option A is correct.

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the word "HANDIWORK", the total letters in the word are 9 letters.Total outcome = 9 letters

For the number of events, we will have to find the letters between F and Q in the "HANDIWORK". The letters are n(E) = {H, N, I, O, K}Hence n(E) = 5

Pr(the letter on it will fall between "F" and "Q" in the alphabet) = 5/9

Hence the probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9

Learn more here: https://brainly.com/question/13604758

George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.

Answers

Answer:

183.50 feet

Step-by-step explanation:

43*4=172

5.75*2=11.50

172+11.50=183.50

183.50 feet

A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?

Answers

I think that the answer is true

(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?


Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.


Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.


Explain what the solution means in the context of the word problem.

Answers

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

how do you factor 3x^2-3x-90

Answers

3x^2 - 3x -90

=3 (x^2 - x -30)

=3 (x^2 −6x+5x−30)

=3(x(x−6)+5(x−6))

=3(x−6)(x+5)

Sixth grade math please in K12


Item 3

Divide.


5892 ÷ 18



327


327 1/18


327 1/3


327 7/18
Help is apricated

Answers

Answer:

327r6

Step-by-step explanation:

Too long, if you really need it, comment on this answer.

Four less than the product of a number and 8 is twice the sum of the number and 10 what is the number

Answers

Answer:

x=4

Step-by-step explanation:

Four less than the product of a number and 8:

8x−4

is twice the sum of the number and 10, so

8x−4=2(x+10)

Simplify.

8x−4=2x+20

Add 4 to both sides, which is

8x=2x+24

Subtract 2x from both sides:

6x=24

Divide 6 from both sides to isolate the x

x=4

-how I got 20

8x-4=2(x+10) x=8 so 8+10=18 18+2=20

also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)

Answer for brainiest

Answers

Answer:

x=72°

Step-by-step explanation:

We know angles around a point equals 360°

Therefore,

(2x-61)°+(x-11)°+3x°=360°

2x-61+x-11+3x=360°

Collect like terms,

2x+x+3x-61-11=360°

6x-72°=360⁰

Evaluate;

6x=360°+72°

6x=432°

Divide both sides by 6

x=72°

A cheerful teen willing to help,

please mark BRAINLIEST,

stay salty...

Answer:

x = 72°

Step-by-step explanation:

there is a total of 360 degrees in a circle

we know we can add the angle measures shown and set it equal to 360

3x + (x-11) + (2x-61) = 360

combine 'like terms':

6x + (-11) + (-61) = 360

6x + (-72) = 360

6x = 432

x = 72

Check:

[2(72)-61] + (72-11) + 3(72) should equal 360

(144-61) + 61 + 216 = 360

83 + 61 + 216 = 360

360 = 360

Three integers sum to 57. The second integer is twice the first integer. The third integer is seven less than five times the first integer. What are the three integers?

Answers

Answer:

a=8

b=16

c=33

Step-by-step explanation:

Let's call the integers a, b, and c. (a is the first, b is the second, and c is the third.)

a+b+c=57

Write the second two sentences as equations.

b=2a

c=5a-7

Plug in these values of b and c to the original equation.

a+(2a)+(5a-7)=57

Solve for a:

a+2a+5a-7=57

8a-7=57

8a=64

a=8

Now, plug in your solution for a into the equations for b and c to solve for them.

b=2a=2(8)=16

c=5a-7=5(8)-7=40-7=33

You can add up your answers for a, b, and c to make sure you're correct.

a+b+c=8+16+33=57

I hope this helped!

what is 3 divided by 4

show your work

Answers

Answer:

0.75

Step-by-step explanation:

Answer:

3/4= 0.75

Step-by-step explanation:

4 can be divided into 3 parts but it will be lower than 1.

think of it this way, there are 4 groups and you have to divide 3 things equally into the 4 groups.

because you can't do a whole number, it will be a decimal.

3/4=0.75

What is the opposite of 8/7

Answers

Answer:

7/8

Step-by-step explanation:

i know

Answer:

7/8 XD

Step-by-step explanation:

I have to get this done by today pls help me

Answers

Answer:

1.6 hours to travel 800 miles

Step-by-step explanation:

simplify 3 wholes 6/8 + 2 wholes 2/8

Answers

Answer:

5/1

Step-by-step explanation:

3.75 + 2.25 = 5

5 = 5/1

Learn with an example
or
Watch a tutorial
Que:
ansv
Find the slope of the line that passes through (9, 3) and (2,8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

1/5 and that’s the answer hope it helps

Help help help help help

Answers

Answer:

x>22

Step-by-step explanation:

3(x+4)>18

3x+12> 54

3x>66

x>22

Find the GCF of 21m5n2 and 28m4n2.

Answers

7m^4n^2 is the answer

Please help asap! really important!!

Answers

Answer:

4th graph

6th graph

3rd graph

Step-by-step explanation:

Linear = y = x + 3

it is 4th graph

when you substitute x = 0 y is 3

and when y = 0 x is -3

Quadratic = y = 3x^2

It is 6th graph

for both positive and negative values of x, y is rapidly increasing

Exponential = y = 3^x

it is 3rd graph

for x = 0 y value is 1 because 3^0 = 1

for positive values of x, y is exponentially rising

for negative values of x it is nearly almost touches zero

Help I need to solve A. B. C and D.

Answers

Answer:

A) -3 > -5

B) -5 < 0

C) 6 > -1

D) tuesday > wednesday

Step-by-step explanation:

< = lower than

> = greater than

I need to find out what the value of Z is pls help

Answers

171 ig

Step-by-step explanation:

2z-4= 2

3z+4=

7+2= 9

180(supplementary)

180-9=171 degree

Find an equation for the horizontal line through the point (2,−8).

Answers

Answer:

X=2

Step-by-step explanation:

X is the horizontal line and in this coordinate pair, 2 is our X. Therefore X=2

Answer:

y = -8

Step-by-step explanation:

You can have a horizontal line parallel to the x-axis which is also known as y=c. Since you had the point (2,-8) you can simply write y = -8 as an equation.

What is mKNL?
Enter your answer in the box.

Answers

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

[tex]5x+2={3(x+14)[/tex]

Now let's solve for x now

[tex]5x+2=3(x+14)\\[/tex]

[tex]5x+2=3x+42[/tex]

[tex]5x-3x=42-2[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2} =\frac{40}{2}[/tex]

[tex]x=20 \\[/tex]

Now let's find the value of KNL

[tex]3(x+14)\\3(20+14)\\3*34\\102[/tex]

Hope this helps you.

Let me know if you have any other questions ;-)

Which angle is adjacent to <1?​

Answers

Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side. In the figure, ∠1 and ∠3 are non-adjacent angles. They share a common vertex, but not a common side.
4

aling mely bought 1 3/4kg of cashew nuts, 5/8 od peanuts, and 1 1/2 kg of pimnuts.how many kilogram of nuts did she buy.

Answers

Answer:

Aling Mely  buy 31/8 kg or 3.875 kg or 3 7/8 kg of nuts.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1 \dfrac{3}{4}+ \dfrac{5}{8}+ 1\dfrac{1}{2} = \dfrac{7}{4}+ \dfrac{5}{8} + \dfrac{3}{2}\\\\\\LCM = 8\\\\= \dfrac{7*2}{4*2}+ \dfrac{5}{8}+ \dfrac{3*4}{2*4}\\\\\\= \dfrac{14}{8}+ \dfrac{5}{8}+ \dfrac{12}{8}\\\\\\= \dfrac{14+5+12}{8}= \dfrac{31}{8}\\\\\\= 3 \dfrac{7}{8} \ Kg[/tex]

what's the sum of 14 12 8 6

Answers

Answer:

40

Step-by-step explanation:

14 + 12 + 8 + 6 = 40

Answer:

40

Step-by-step explanation:

14+12=26+8=34+6=40

After all the taxes are withheld, Jules's take home pay is about 72% of his total earnings. Estimate his take home pay if his total earnings for the pay period are $240.

Answers

Answer:

172.8

Step-by-step explanation:

72% of 240 is 172.8

You can estimate it by rounding 172.8 to $173

Jules's take $173 for home pay.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total earning of Jules's = $240

He take home pay is about 72%.

Now,

Amount for take home pay = 72% of $240

It can be solve as;

72% of $240

72% × 240

72/100 × 240

72/10 × 24

172.8

After estimating we get;

Amount for take home pay = $173

Thus, Jules's take $173 for home pay.

Learn more about the percentage visit:

https://brainly.com/question/548162

#SPJ5

90 degree angle is divided into two sides

Answers

Answers:

3x + 40 =64

4x - 6 =26

Step-by-step explanation:

So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:

(3x+40) + (4x-6) = 90

Combine like terms

7x + 34 =90

Isolate x

7x = 56

x = 8

Now that we found x, all we have to do is substitute it in the equations:

3x + 40 = ?

3(8) +40 = ?

24+40 = ?

64 = ?

4x - 6 = ?

4(8) - 6 = ?

32 - 6 = ?

26 = ?

Answer:

3x+40= 66

4x-6= 26

Step-by-step explanation:

3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)

Add 4x and 3x

Which is 7x

40 minus 6 is 34

The equation now looks like this:

7x+34=90˚

Subtract 34 on both sides:

7x=56

Divide 7 on both sides:

x=8

For 3x+40

Substitute x with 8

the equation now looks like this:

24+40 Which is 66

For 4x-6

4 times 8 is 32

32 minus 6 which is 26

Hope this helps!

due right now help ill mark you brainly if its correct

Answers

Answer:

all but 1/6

Step-by-step explanation:

Answer:

2/6 3/9 4/12 are the answers

What is the other 0 of the quadratic function

Answers

Answer: Unknown

Step-by-step explanation:

-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez

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