It is given that y is inversely proportional to the square of x and that y=48 when x=[tex]\frac{1}{2}[/tex].
Find;
(a), the formula for y in terms of x,
(b), the values of x when y=3.

Answers

Answer 1

Answer:

[tex]a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3[/tex]

Step-by-step explanation:

[tex]y \ is\ inversely \ proportional \ to \ square \ of \ x \ means , y \ \alpha \ \frac{1}{x^2}[/tex]

[tex]Therefore, y = k \times \frac{1}{x^2}[/tex]

Given y = 48, x = 1/2. We will find k.

                 [tex]y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12[/tex]

Find x.

[tex]y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} = \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2[/tex]


Related Questions

PLEASE, I NEED HELP WITH THIS QUESTION!!!!

given three consecutive odd integers, their sum is two times the third number plus 11. what are the three numbers

Answers

Answer:

7 , 5 , 9

Step-by-step explanation:

Answer to question first

Answers

Answer:

C. But be careful. It depends if you have been told what I was having trouble with.

Step-by-step explanation:

The question is a little unclear. If the actual interest is constant for all situations, the answer is C. The more times you compound, the more interest you will accumulate. Banks don't do it that way. It they compound every three months, then they cut the interest rate by a quarter.

So the interest would look like (1 + 0.022/4)*principle. Whoever made the question has to make clear what is going on. My guess is the intended answer is C.

How do I solve these problems?

Answers

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

1.)

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

2.)

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Dilation result in what types of polygons

Answers

Answer:

Step-by-step explanation:

Similar polygons.  Only side lengths change; the angles remain the same through dilation.

Use the Distributive Property to simplify the expression 9(2n+1)

Answers

Answer:

18n+9

Step-by-step explanation:

9 times 2n is 18n.

9 times 1 is 9.

There's your answer.

Answer:

[tex]\huge\boxed{\bold{18n+9}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression!

All we should do is "distribute" 9:

[tex]\bold{9(2n+1)}[/tex]

[tex]\bold{18n+9}[/tex]

Hope it helps!

[tex]\rm{Have~A~nice~day![/tex]

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever}[/tex]

**Help**

*will give brainliest*

What is the percent that the temperature of a ufo that hits in the middle of the Arctic and is eaten by a giraffe is 72 degrees?

Answers

Answer:

67°

Step-by-step explanation:

TYAJSJSHSSNDNDBSBSBSBBSD

Hey smarties✌‍♀️
Pls help me solve this question. It would be very helpful if u help me a) By what number should [tex]\frac{-4}{17}[/tex] be multiplied so that the product becomes [tex]\frac{-7}{23}[/tex] ?
Tnx in advance❤

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Answer:

-3/6

Step-by-step explanation:

PLEASE PLEASE HELP ME WILL MARK BRAINLISTS!!!!!!
PLEASE HELP

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Answer:

All of them approach 9 when x=0

Step-by-step explanation:

1,0032.43+7,543323,4252,34= ?

Answers

Answer:

7.5433234e+12 is your answer

Step-by-step explanation:

Answer:

7.5433234e+12

Step-by-step explanation:

What’s the equation y= what ? pls help me!

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Answer:

Y=mx+b

Step-by-step explanation:

That's the slope equation, though y could mean anything from a point on a graph to the question.

is this the right answer??

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Answer:

yes

Step-by-step explanation:

If there are no horizontal points on the graph that are even with other horizontal points on the graph, then the graph is a function.

help me please anyone

Answers

9514 1404 393

Answer:

  (2x -1) by (x +5)

Step-by-step explanation:

We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...

  2x^2 +9x -5

  = 2x^2 +10x -x -5

  = 2x(x +5) -1(x +5)

  = (2x -1)(x +5)

Possible dimensions of the parking lot are (2x-1) and (x+5).

What is 37/6 - 5.25 I really need this answer ASAP

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Answer:

11/12

Step-by-step explanation:

look at the screenshot.....

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Answer:

the total surface area is 360 cm

Step-by-step explanation:

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Can y’all help me and tell me the answer?

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100!

100 is your answer because there is exactly 100 percentages in the number 100. So 65% of that would be equal to 65.

guys please help i'm stup!d

Answers

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

The mean is:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case we have the set of 20 points described above, then the mean is:

[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]

Rounding to the first place after the decimal point, we get:

M = 0.4

Then the correct option is option B.

i need help i will mark you brainliest​

Answers

Answer:

Step-by-step explanation:

you need to draw a leaf plot

Part 1
Hi I really need help with some of these questions please I'm on a tight schedule with getting the rest of my work done so please if anyone can please help me I'm giving 45 points away please help me.

Also on the ones where you need to show the work please do if you can

I will post another part or these question and it will be worth 30 points

Answers

Answer:

1) c. AD || CE

2) solve them both first:

3y + 1 = 6x + 4                2y + 1 = x - 9

3y = 6x + 3                     2y = x - 10

y = 2x + 1 .                      y = 1/2x - 5

Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated

Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.

The answer is D, neither parallel nor perpendicular.

3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.

[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]

The answer is D.

4) d. GB || HC

5) d. 345.6

[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]

A ≈ 345.58 ≈ 345.6

6) first change the other equation (4x + 2y = 10) to slope-intercept form:

2y = -4x + 10

y = -2x + 5

because the line must be parallel, it has to have a slope = -2

That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.

7) best bet is a. EH and BC are coplanar, but I'm really not sure

8) d. DB and HF

9) first change the other equation (4x - 6y = 15) to slope-intercept form:

-6y = -4x + 15

y = 2/3x - 5/2

slope of the perpendicular line should be -3/2

y = -3/2x + a

9 = -3/2(6) + a

9 = -9 + a

a = 18

y = -3/2x + 18

which is the same as y - 9 = -3/2(x - 6), which is A


Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking a blue
and then a green with NO replacement

Answers

[tex]b = 5, \: g = 3, \: r = 8[/tex]

[tex]total = 5 + 3 + 8 = 16[/tex]

[tex]p(b) = \frac{5}{16} [/tex]

[tex]p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5} \\ [/tex]

[tex]p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16} [/tex]

WILL MARK BRAINLIEST !!
Please look at the attached photo.

which expression represents the image below?
5/6 x 3/2
5/6 x 3/4
1/4 x 3/4

No links please !!
please respond fast with a good answer.​

Answers

Answer:

5/6 x 3/2

Step-by-step explanation:

I think that would be correct out of all of those. I hope this helped!

(Please don't be mean if it's wrong, it's what I learned)

What is the radius and diameter of the following circle?

Answers

Answer:

Diamter is 14 and radius is 7

Step-by-step explanation:

May I have barinliest answer please?

What is the mode? 22, 7, 22, 1, 7, 18, 18, 16, 6, 6, 7

Answers

Answer:

7

Step-by-step explanation:

Put them in L to G

1 6 6 7 7 7 16 18 18 22 22

and u see how many times 7 repeated den all numbers.

The mode is the [tex]MOST[/tex] [tex]FREQUENTLY[/tex]occurring value in a distribution, Hence, the mode of the data is [tex]7[/tex]

[tex]VALUES - - FREQUENCY\\22 - - - - - - - - - - - 2\\7 - - - - - - - - - - - - 3\\1 - - - - - - - - - - - - 1\\18 - - - - - - - - - - - 2\\16 - - - - - - - - - - - 1\\6 - - - - - - - - - - - - 2\\\\HENCE,[/tex]

The value 22 has a frequency of 2

The value 7 has a frequency of 3

The value 1 has a frequency of 1

18 has a frequency of 2

16 has a frequency of 1

6 has a frequency of 2

The [tex]MODE[/tex] of the distribution is [tex]7[/tex]

Learn more : https://brainly.com/question/15974141

What is the product of 2 and 2 √80 in simplest radical form?
show work

Answers

[tex]2 \times 2 \times 4 \sqrt{5} [/tex]

[tex]16 \sqrt{5} [/tex]

final answer is this

plz mark as brainliest

Answer:

..........

Step-by-step explanation:

A cylinder has a height of 14 millimeters. Its volume is 17,584 cubic millimeters. What is the radius of the cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.
help me

Answers

Answer:

V = πr2h (Volume of a cylinder is the area of a circle times its height). V = 8167.14. π = 3.14. h = 9.

Step-by-step explanation:

When the recycling committee first formed, they conducted a survey to determine whether paper recycling was already common at their school. Out of 36 classrooms, 9 were using paper recycling bins.
What percent of the classrooms had paper recycling bins?

Answers

Answer:

25%

Step-by-step explanation:

9x4=9

1/4=25%

hope this helps

f(x) = 2x^2 – 3x – 9
g(x) = 4x^2 - 9
Find ( f/g)(x).

Answers

Answer:

(f/g)x = (x - 3)/(2x - 3)

Step-by-step explanation:

Try and see if f(x) can be factored.

g(x) = (2x - 3) (2x + 3)

That means that perhaps f(x) has one of these two factors.

(2x   3)(x   3)

You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.

(2x + 3)(x - 3) should be the way f(x) factors, and it is.

f(x) / g(x) = (2x + 3) (x - 3)

                 (2x + 3)(2x - 3)

2x + 3 cancels. The answer is

(f/g)x = (x - 3)/(2x - 3)

Are the two triangles similar? Why or why not?

Answers

Answer:

yes

Step-by-step explanation:

cause they are both triangles duhhhh

Answer:

yes bc they both make a 90* TURN

plz help will mark brainliest!!!!

Answers

Answer: a

Step-by-step explanation:

If X-1 = 2
Work out the value of 2x2

Answers

Answer:

2x

2

−x−2=2(−1)

2

−(−1)−2 [Putting x=−1]

=2×1+1−2=2+1−2

=3−2

=1.

The following are the ages (years) of 5 people in a room:
13, 13, 19, 23,19
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?

Answers

Answer:Answer:

the added person age is 26

Step-by-step explanation:

let the added person age is A

the six person mean is (23+19+12+21+13+A)/6=19

=> 88+A/6=19

=>A=(19×6)-88

there fore A=26

Answer:

39

Step-by-step explanation:

13 + 13 + 19 + 23 + 19 + x = 21

                       6

Combine like terms

(87 + x) / 6 = 21                  Multiply both sides by 6

(87 + x )  = 21 * 6

87 + x = 126                       Subtract 87 from both sides

x = 126 - 87

x = 39

The 6th person entering the room was 39

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