The value of m varies inversely as the square of n. When n = 3 m = 6.
What is the positive value of n when m = 13.5?
(I already know C. is wrong)
A. 18
B. 2
C. 9 XXXX
D. 4

Answers

Answer 1

Answer:

B.]2

Step-by-step explanation:

Answer 2

The required positive value of n is 2. Hence, option B is correct.

Important information:

m varies inversely as the square of n.Whem n = 3, then m = 6.Inverse proportion:

It is given that m is inversely proportional to the square of n. So,

[tex]m\propto \dfrac{1}{n^2}[/tex]

[tex]m=\dfrac{k}{n^2}[/tex]           ...(i)

Where, k is the constant of proportionality.

Substitute m = 6 and n = 3 in the above equation.

[tex]6=\dfrac{k}{3^2}[/tex]

[tex]6=\dfrac{k}{9}[/tex]

[tex]6\times 9=k[/tex]

[tex]54=k[/tex]

Substitute this value in (i).

[tex]m=\dfrac{54}{n^2}[/tex]

Substitute m = 13.5 in the above equation.

[tex]13.5=\dfrac{54}{n^2}[/tex]

[tex]n^2=\dfrac{54}{13.5}[/tex]

[tex]n=\pm \sqrt{4}[/tex]

[tex]n=\pm 2[/tex]

Therefore, the required positive value of n is 2. Hence, option B is correct.

Find out more about 'Inverse proportion' here:

https://brainly.com/question/15179946


Related Questions

Please help if you know how to do this, thanks

Answers

9514 1404 393

Answer:

  1.  see the first attachment for a graph; quadrants I, II, III; vertex (-3, -4); x-intercepts -5, -1; graph is dashed line, shaded inside the parabola, which opens up

  2.  see the second attachment for a graph; all quadrants; vertex (1, 2); x-intercepts 1±√2; graph is a solid line, shaded outside the parabola, which opens down; (-7, 0) is a solution

Step-by-step explanation:

1. The boundary expression is in vertex form, so the vertex can be read directly.

  y = (x -h)^2 +k . . . . . . parabola with vertex (h, k)

  y > (x +3)^2 -4 . . . . .  (h, k) = (-3, -4)

The leading coefficient is +1, a positive number, so the parabola opens up. The relation is y > ( ), so values of y above the dashed line will be shaded. Those values are inside the parabola. The points (0, 0) and (-7, 0) are not in the shaded area, so are not solutions.

__

2. Again, the boundary expression is in vertex form, so the vertex can be read directly.

  y ≥ -(x -1)^2 +2 . . . . . (h, k) = (1, 2)

The x-intercepts are found by solving for x when y=0:

  0 = -(x -1)^2 +2

  x -1 = ±√2

  x = 1±√2

The leading coefficient is -1, so the parabola opens downward. The relation is y ≥ ( ), so y-values above the solid line will be shaded. Those values are outside the parabola. Point (0, 0) is not a solution. Point (-7, 0) is a solution.

_____

Additional comment

As with the graph of any inequality, the boundary line is solid when the "or equal to" case is part of the relation. If the relation is strictly "greater than" or "less than", then the boundary line is dashed.

An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. The lab makes 3 repeated analyses of the specimen. The sample mean result is 0.8708. The true concentration is the mean m of the population of all analyses of the specimen. The standard deviation of the analysis process is known to be LaTeX: \sigmaσ = 0.0068. Is there significant evidence at the 1% level that LaTeX: \muμ is different than 0.86? (assume normality)

Answers

Answer:

Decision rule

   Reject null hypothesis

Conclusion

There is significance evidence that the true mean is different from 0.86

Step-by-step explanation:

From the question we are told that

  The population mean   [tex]\mu  = 0.86[/tex]

   The  sample is  mean is [tex]\=  x  =  0.8708[/tex]

  The standard deviation is  [tex]\sigma =  0.0068[/tex]

The  level of significance is  [tex]\alpha  =  0.01[/tex]

  The  sample size n =  3

The null hypothesis is  [tex]\mu =  0.86[/tex]

The alternative hypothesis  is [tex]\mu \ne  0.86[/tex]

Generally the test statistics is mathematically represented as  

    [tex]z =  \frac{\=  x  - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=> [tex]z =  \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }[/tex]

=>  [tex]z =  2.751  [/tex]  

Generally  p- value is mathematically represented as

       [tex]p-value =  2 P(z >2.751   )[/tex]

From the z-table  

        [tex]P(z >2.751 ) =  0.0029707[/tex]

So

     [tex]p-value =  2 *  0.0029707[/tex]

=>   [tex]p-value =  0.00594 [/tex]

From the obtained question we see that  [tex]p-value  <  \alpha[/tex]

Hence we reject the null hypothesis

 

If Sue can sew 3 dresses in 8 hours, how many hours will it take sue to sew 9 dresses?

Answers

24 hours

brainliest pls

Answer:

Step-by-step explanation:

24 hours because 3 x3 is 9 making it possible for you to multiply 8 by 3. So 8 x 3 is 24 hours.

Find the surface area

2 mi
7 mi
2 mi

Answers

Answer:

total surface area Stot = 100 m2

lateral surface area Slat = 72 m2

top surface area Stop = 14 m2

bottom surface area Sbot = 14 m2

Step-by-step explanation:

write an equation to solve for x 3x + 21 6x-60 will mark brainiest ​

Answers

Answer:

3x + 21 = 6x - 60

Step-by-step explanation:

parallel angles are equal

3x + 21 = 6x - 60

combine similar terms:

3x - 6x = -60 - 21

-3x = -81

x = 81/3

x = 27

now, plugin the value of x=27 back into the equation to get the angle:

= 3x + 21

= 3(27) + 21

= 102

= 6x - 60

= 6(27) - 60

= 102

as you noticed, both values are equal 102 = 102 because its a parallel angles

so the equation is 3x + 21 = 6x - 60

================================

The concept of determining which reactant is limiting and which is in excess is akin to determining the number of sandwiches that can be made from a set number of ingredients. Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandwiches that can be prepared from 44 slices of bread and 69 slices of cheese. number of sandwiches: 22 Which of the two ingredients limits the number of sandwiches that can be made

Answers

Answer:

SLICE OF BREAD

Step-by-step explanation:

If a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, in order to determine the number of whole cheese sandwiches that can be prepared from 44 slices of bread and 69 slices of cheese, we will use the equality postulate as shown;

1 cheese sandwich = 2 slices of bread

x cheese sandwiches = 44 slices of bread

cross multiply

2 * x = 1 * 44

2x = 44

divide both sides by 2

2x/2 = 44/2

x = 22

Similarly;

1 cheese sandwich = 3 slices of cheese

y cheese sandwiches =  69 slices of cheese

cross multiply

3 * y = 1 * 69

3y = 69

divide both sides by 3

3y/3 = 69/3

3y = 23

Since both values of x and y are greater than or equal to 22 hence 22 sandwiches can be prepared from 44 slices of bread and 69 slices of cheese.

Since the amount of cheese sandwiches made from slices of bread (22) is not up to that made from slices of cheese (i.e 23), hence the ingredient that limits the number of sandwiches that can be made is the slice of bread

what's 2 + 1 ? this thing is making me type 20 words

Answers

Answer:

3

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 3

Step-by-step explanation:

I typed it into my calculator and it came back as 3 so...

What is A−1?
Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.

Answers

Answer:

(-1/2     -1/8

  1/4    3/16)

Step-by-step explanation:

(-3  -2

 4    8 )  ^ -1

First find the determinant

-3 * 8  - (-2 *4) = -24 - (-8) = -24 +8 = -16

Multiply 1 over the determinant by The matrix with the -3 and 8 switched

and negate the -2 and the 4

1/-16(8  2

        -4    -3 )

(-1/2     -1/8

  1/4    3/16)

Answer:

-1/2     -1/8

1/4    3/16

Step-by-step explanation:

Solve the equation.
NEED HELLPPPPPPP!!!

Answers

B^3 = 1000

Take the cubic root of both sides:

b = ∛1,000

∛1000 = 10 x 10 x 10

b = 10

in desperate need of help

Answers

Answer:

QR and TM never intersect

Step-by-step explanation:

this is the only answer that is ALWAYS true

At the local salon, you can get a haircut for $25.50. You want to leave the hairdresser a 18% tip. How much of a tip will you leave? *

Answers

Answer:

$4.59

Step-by-step explanation:

what is on left side of equation if f=11

Answers

Answer: f

Step-by-step explanation:

11 is on RHS or the right hand side

therefore the variable in LHS or left hand side is f

hope it helped u,

pls put thanks

Write an expression that is equivalent to 2(-3x2+6x+1)-2(4x2-3x+1)

Answers

Answer(-14x power2+18x)

Step-by-step explanation

Write a decimal equivalent to 9/20 (15 points)

Answers

0.45 divide 9 by 20 hope it helps

Help me ASAP!!!pls i don’t get it:(

Answers

Answer:

it is 17

Step-by-step explanation:

hope this helps :)

Answer:

21

Step-by-step explanation:

4x-12=72

   +12 +12

4x=84

/4   /4

x=21

Please help 100 points and will give Brainliest

Answers

This is a higher grade than mine i dont know sorry :(

Answer:

I think I know what the answers are but I can't be sure.

Step-by-step explanation:

X= 4y + 2
3x - 12y = 6

Answers

1] x - 4y = 2
[2] 3x - 12y = 6

Solve by Substitution :

// Solve equation [1] for the variable x


[1] x = 4y + 2

// Plug this in for variable x in equation [2]

[2] 3•(4y+2) - 12y = 6
[2] 0 = 0 => Infinitely many solutions

Every year, the population of a small town doubles. It starts off with 150 people. How many people are in the town in 7 years?

Answers

Answer:

1050

Step-by-step explanation:

Multiply 150 by 7

Find the y intercept of the line 4y=-6x+8

Answers

Answer:

8

Step-by-step explanation:

The Y intercept is 8.

Y=3x/2 +2
Slope -3/2
Intercept (0,2)

​what is
9(x​6)=207
answer it step by step

Answers

Answer: x=1.686377,−1.686377

Step-by-step explanation:

9x6=207

Step 1: Divide both sides by 9.

9x6/9=207/9

x6=23

Step 2: Take root.

x=±(23)(16)

x=1.686377,−1.686377

In a chemistry lab, each of the 49 students need 80ml of acid. How many 1 l bottles of acid need to be ordered?

Answers

Answer:

49x0.08= 3.92 l

Step-by-step explanation:

so, you must order 4 bottles

Answer:

4 bottles

Step-by-step explanation:

49×0.08=3921

What are the two question that you want to ask to clarify the process of translating real life situation to rational function​

Answers

Answer and Step-by-step explanation:

The rational function is the function that can be written in terms of ratio that contains two polynomial functions in which the denominator is not equivalent to zero

Now the two questions that should be asked which are as follows:

1. Translate real life to rational functions.

2. Process for translate to real life to rational functions

These two questions should be asked

The two question that I want to ask to clarify the process of translating real life situation to rational function are

How can I tell if a function is rational or not?How do rational functions apply in real life situation

For better understanding, lets explain what rational function means.

Rational function is simply known to be the function of the form f(x)= p(x)/q(x) where p(x) and q(x) are polynomial and q(x) cannot equal zero or simply say it is a function gotten when we divides one polynomial by another. in real life, rational functions are often used in modeling more complex equations in science and engineering.

From the above we can therefore say that the answer The two question that I want to ask to clarify the process of translating real life situation to rational function are

How can I tell if a function is rational or not?How do rational functions apply in real life situation, is correct

Learn more about rational functions from:

https://brainly.com/question/19044037

During one waiter's shift, he delivered 13 appetizers, 17 entrees, and 10 desserts. What percentage of the dishes he delivered were:
A. desserts?



B. appetizers?



C. entrees?

Answers

Answer:

deserts are 32.5%

appetizers are 42.5%

deserts are 25%

Step-by-step explanation:

let me know if i helped

My wifi is acting up so I’m just gonna comment so I remember to answer this bc I’m trying to solve it but I have something to do


A car travels 26.35 miles with one gallon of gas. The tank
can hold 21.5 gallons of gas. How many miles can the car
travel on a full tank of gas.
Explain the error in the problem and then solve correctly.

Answers

Answer:

566.525

Step-by-step explanation:

26.35 × 21.5

100 is 10 times much as

Answers

Answer:

?? If you answer is how does 10 become 100, you multiply 10 by 10?? Sorry

Step-by-step explanation:

Answer:

100 is 10 times as much as 10

Step-by-step explanation:

10 times 10 is 100.

please help on that excercise

Answers

Step-by-step explanation:

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

17. c-34 = 20

or, c = 20+34

or, c = 54

therefore, c = 54

18. a-4 = -18

or, a = -18 + 4

or, a = -14

therefore, a = -14

19. r-3 = 8

or, r = 8+3

or, r = 11

therefore, r = 11

20. z-100 = 100

or, z = 100+100

or, z = 200

therefore, z = 100

21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6


90 men and 60 women were asked if they had watched the latest 'Expendables' movie.
Altogether 3/5 of the people said Yes.

3/10 of the women said Yes.
What percentage of the men said No?

Show your work

PLEASE HELP DUE TODAY THANK YOU SO MUCH.


.

Answers

Answer:

63 men said no.

Step-by-step explanation

3/5 * 2/2 = 6/10, 6/10 - 3/10 (women) = 3/10 meaning 7/10 men said no. 90*1.7 = 153, 153-90=63

Answer:

30%. Remember the question is what percentage?

Step-by-step explanation:

Given Informations:

Men = 90

Women = 60

Total number (men + women) = 150.   ...... (1)

For Yes Members,

3/5 of the people said YES.

3/5 of 150 = 90 .......                                        (2)

This means that out of 150, 90 people said YES.

However, we dont know what ratio are men or women all we can deduce is that 90 said YES.

From the question, 3/10 are women that said YES.

Meaning 3/10 of 90 are women = 27. ..                  (3)

27  women said YES therefore

90 -27 = 63  Men said YES.

FOR NO Members,

If 90 out of 150 said yes, then 60 said NO.

However, we dont know the ratio of Men and Women that said NO. What we can do is to solve it from the known to the unknown.

For Men,

The total number is 90.

63 said YES, therefore (90 - 63 ) definitely said NO.

= 27 Men said NO                         (4)

For Women,

The total number of women is 60

27 said YES, Therefore (60 - 27) said NO

= 33 women said NO.      ( 5)

The question is what percentage of Men said NO?

Percentage =

number of men that said NO / The total number of Men  * 100

= 27/90 * 100

=30%

To Prove the Answer

If you agree with Eq 2, which says 90 people said yes. Therefore, (150 -90) = 60 said NO.

Remeber the 60 is inclusive of Men and Women.

Let's see, if we will get 60 when we add the number of men and women we got that said NO.

Add the value in Eq 4 + Eq 5.

27 + 33 = 60.

A tree is standing next to a 80 foot high building. At the same time of day, the tree has a 36 foot shadow, while the building has a 32 foot shadow. How tall is the tree rounded to the nearest foot?
A: 80 feet
B: 72 feet
C: 90 feet
D: 25 feet ​

Answers

Answer:

A, 80

Step-by-step explanation:

Find the slope of the line
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The slope of the line is (Type an integer or a simplified fraction)
OB. The slope of the line is undefined

Answers

Answer:

The slope of the line is zero because there is no change in y or x

6th grade math I mark as brainliest

Answers

I think it’s 1 unit ................
1 unit:
-8-(-8)=-8+8, the negatives make a plus
-3-(-4)=-3+4, the negatives make a plus
-1/-1
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