Provide answer. THE ANSWER IS NOT 5 OR 16. If y varies inversely as x^2, and x = 4 while y = 1/4, find x when y = 1.

Answers

Answer 1

Step-by-step explanation:

if y varies inversely as x^2 then 1/y=x^2

note: there needs to be a constant

so let's just say that the constant is k

so we multiply k by x^2 to equal 1/y

1/y=(x^2)k

put in the values for x and y

x=4 and y=1/4

1/(1/4)=(4^2)k

4/16=k

1/4=k

now we insert k back into the first equation that we made

1/y=(x^2)(1/4)

put in the value for y

y=1

x=?

1/1=(x^2)(1/4)

4=x^2

±[tex]\sqrt{4}[/tex]=x

2=x and -2=x

Hope that helps :)

Answer 2

Answer:

x = 2

Step-by-step explanation:

y ∝ [tex]\frac{1}{x^{2} }[/tex] ⇒ y = [tex]\frac{k}{x^{2} }[/tex] (where k is the constant of proportionality)

k = x²y

When x = 4 and y = [tex]\frac{1}{4}[/tex],

k = (4)² × [tex]\frac{1}{4}[/tex]

  = [tex]16 * \frac{1}{4}[/tex]

  = 4

So, y = [tex]\frac{4}{x^{2} }[/tex]

When y = 1,

[tex]1 = \frac{4}{x^{2} }[/tex]

x² = 4

√x² = ±√4

∴ x = 2 or -2

Hope this helps

Pls mark as brainliest


Related Questions

Reynaldo likes that this method of payment allows him to transfer money from his account into his long-term savings account without having to leave his home.

cash

Credit Card

Debit Card

Online Banking

Answers

Answer:Online Banking

Step-by-step explanation:

Banking online means accessing your bank account and carrying out financial transactions through the internet on your smartphone, tablet or computer. It's quick, usually free and allows you to carry out a number of tasks such as paying bills and transferring money, without having to visit or call your bank.

That is online banking

Which set of data has the same mode and median?

Answers

The answer is the third set.

Mode is a number that shows up a lot in a date set. That being the 7 in the third data set. The median of the third set was also 7.

Hope this helped.

Which table shows a constant rate of change of –3?

A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries negative 8, negative 5, negative 2, 1.
A 2-column table with 4 rows. Column 1 is labeled x with entries 15, 16, 17, 18. Column 2 is labeled y with entries 12, 9, 7, 4.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1. Column 2 is labeled y with entries negative 9, negative 12, negative 16, negative 20.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.

Answers

i belive the answer is the 3rd one

Answer:

Its the last one

Step-by-step explanation

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.

There are 38 people on a volleyball team. Twelve of them are women, fourteen are men, and twelve are children. If the captain randomly chooses one person to serve the ball, what is the probability that the captain chooses a child?
A 1
B 6/7
C 7/19
D 6/19

Answers

Answer:

Not exactly sure the exact amount. but something that does help is that since there i less children there is less a chance

Step-by-step explanation:

So pick the smallest answer on there ig. Hope this helps and have a wonderful day! <3 :))

D because 12/38 simplifies to 6/19.

Identify each triangle with its most specific name and explain how you know:

Answers

1- scalene- the angles and sides aren’t equal
2- equilateral- all the sides and angles are the same
3- isosceles- 2 of the angles are the same and 2 of the sides are the same

i am failing but i techer is giving me 1 more chance PLZ HELP ME
A wooden rectangular prism and its dimensions are shown in the diagram. Muhammad wants to make a wooden rectangular prism that is similar to the one shown in the diagram.

Answers

going to solve right now!
I guess u gonna fail Oop

Solve the given equation.

g/5 = 10

Answers

Multiply 5 on both sides, you get

g=10x5

g=50

Answer:

[tex] \frac{g}{5} = 10 \\ g = 10 \times 5 \\ g = 50[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

SHOW YOUR WORK!!!!!!!!!!!!!!!
You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)

Answers

Step-by-step explanation:

I know that 44÷4=11. So that means P must be 11. But since it's subtracted by 7 we must solve 11+7. Which is 18. So P=18.

4(p-7)=44

4*p= 4p
4*-7=-28
4p—28=44
4p=44+28=72
4p=72
P=72/4
P=18

I need the answer rn ASAP!!!!!

Terence is 8x years old now. He is younger than Jill. Bonnie is 4x years older than Jill. Find the total age of the three people in 5 years' time.

Answers

Answer:

What is "x". You did not define it, whether it is a variable or just a multiplying symbol.

5 points for 14 and brainlist no scams

Answers

The correct answer is 0.4

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 4 rows of the same length, he
has 7 chairs left over. If he arranges the chairs in 2 rows of that same length, he has 23 left over. How many
chairs does Liam have?
Liam has
chairs.

Answers

Liam has 75 chairs darling

Answer:

Liam has 39 chairs.

Step-by-step explanation:

First you have to set up the equation -

4x + 7 = 2x + 23

then isolate the variables

4x - 2x + 7 - 7 = 2x - 2x + 23 - 7

2x = 16

x = 8

then substitute the variable with 8

4(8) + 7 = 39

2(8) + 23 = 39

Liam has 39 chairs.

Find the least whole number N greater than 40 for which:
( I ) N divided by 4 leaves a remainder of I. and
(2) N divided by 5 leaves a remainder of 3.

PLS HELP

Answers

Answer:

*Below*

Step-by-step explanation:

Let the number be N.

N divided by 4 leaves 1 as the remainder. This means N - 1 is divisible by 4.

So, we can write N - 1 = 4k1, where k1 is an integer 10 or greater

N divided by 5 leaves 3 as the remainder. This means N - 3 is divisible by 5.

So, we can write N - 3 = 5k2, where k2 is an integer 8 or greater

From above, we get 4k1 - 2 = 5k2

4k1 - 5k2 = 2

k1 = 13, k2 = 10 and the number is XXXXX = 4k1 + 1 = 4(13) + 1 = 53

write an equation that you can use to find the value of x

Answers

Answer is
x+x+x=16
3x=16
x=16/3
Answer:

x+x+x=16
3x=16
x=16/3

✭ Hello!

I need help please...

Make a explanation to this... and do not copy on g.oogle, or other websites!

Make your own words...

And maybe you can show proof about how you got the answer?

Thanks~

Answers

Answer:

18yx

Step-by-step explanation:

4 will cancel 24yx to give 6yx

then 6yx times 3 is 18yx .

Please Help Need this ASAP!!! The First and correct answer will be marked Brainlest!! Solve all 3 problems!!!!

Answers

Answer:

4: y = 0.75x + 3.75

5: y = 0.75x + 23.25

6: y = 0.75x + 11

4: y=0.75x+3.75
5: y=0.75x+23.25
6: 0.75x+11

Look at the stem-and-leaf plot. What is the mode?

A) 0
B) 1
C) 20
D) 31

Answers

Answer:

1

Step-by-step explanation:

The mode is the number that shows up most in a set of numbers and 1 shows up the most therefore it's 1

1 is the answer to your question

A cone has a height of 9 meters and a diameter of 8 meters. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

150.72

Step-by-step explanation:

A shirt normally sells for $65. It was on sale for 45% off the regular price for 3 days. On the forth day it increased by 10% more than the sales price. What is the new price? *

Answers

Answer:

$39.33 (rounded to nearest cent)

Step-by-step explanation:

Cost of shirt normally = $65

Cost of shirt for 3 days = [tex]\frac{100-45}{100}[/tex] × $65

                                      = [tex]\frac{55}{100}[/tex] × $65

                                      = $35.75

Cost of shirt on 4th day = [tex]\frac{100+10}{100}[/tex] × $35.75

                                       = [tex]\frac{110}{100}[/tex] × $35.75

                                       = $39.33 (rounded to nearest cent)

$39.325

I hope this helps

almost so close to 80! we have a 77

please help anybody! shoutout to
brainly.com/app/profile/19154158/answers

Answers

Answer:

25%

Step-by-step explanation:

100 or more is only for 1 whisker

1 whisker = 1/4

1/4 = 25%

The sum of seven interior angle measurements in an octagon equal 835º. What is the angle measurement of the 8th angle? (Hint: An octagon has 8 sides.)

Answers

Answer:

The measurement of the eighth angle in the octagon is 245 degrees.

Step-by-step explanation:

The following formula calculates the total internal angles in an octagon:

Sum of the interior angle = (n - 2) * 180 degrees,

where n represents the polygon's number of sides. n = 8 for an octagon, so we have:

Interior angle sum = (8 - 2) * 180 = 1080 degrees.

Given that the sum of the seven inner angles is 835 degrees, we can construct the following equation:

835 + x = 1080

where x represents the eighth angle's degree measurement. After finding x, we obtain:

x= 1080 - 835

x = 245 degrees

The eighth angle of the octagon is therefore 245 degrees.

An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking. Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans the same?

Answers

Answer:

Roughly 5.25 days at 5 days Plan one is more expensive and at 6 days Plan two is more expensive.

Step-by-step explanation:

plz can i get brainliest

Answer: plan 1: 17 and plan 2: 22    

Step-by-step explanation: first you add 175.00 and 8.00 wich is 183.00  and 125.00 and 13.00 is 138.00 then you add 13.00 17 times = 359.00 then you add 183.00 to 8.00 22 times= 359.00.

Please help. I WILL REPORT LINKS!!! So, basically it's asking to write an equation of the line that passes through the given points in any form. Also, no, it's not -1x + 2.5 or 1x + 2.5. Don't give me those answers! I tried them and they were wrong. Please help!!​

Answers

Answer:

Y = [tex]\frac{1}{1}x[/tex] + 2.5

Step-by-step explanation:

This is the only valid answer for the slope.

Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Some people were asked how long it takes them to commute to work.



Find the range number of minutes.

Answers

Answer:

Range: 55

Step-by-step explanation:

Range = subtraction of the smallest number in the data set to the greatest number in the data set.

Greatest number: 1 hr (60 minutes)

Smallest number: 5 minutes

Range = 60 - 5

           = 55

Hope this helps!

The answer is 55 darling

The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!

Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that
apply.)
4, 7, 9, 9, 10
O mode
O median
O mean
Orange

Answers

Answer:

The mean will change. The range will change.

Step-by-step explanation:

The outlier is 4, it's the one number in the data that isn't close to the other numbers.

The data without the outlier will be 7, 9, 9, 10.

Mode: The mode will still be 9. It is still the number that appears the most in the data.

Median: The median WON'T change. The data is now one value shorter, but the median will still be 9. Before it was 9, and now it's still 9 ((9+9)/2).

Mean: The mean will change because we're excluding one value. Before, the mean was 7.8 (4+7+9+9+10=39, 39/5 = 7.8). NOW it is 8.75 (7+9+9+10=35, 35 / 4 = 8.75).

Range: The range will change. Before it was 10-4, now it is 10-7. The range was originally 6 and now it's 3.

It would be mode the data given 7-90038–737/777388(77738&

Is this True or False?

Answers

Answer:

9

Step-by-step explanation:

hi
i need some help thanks

Answers

A is the correct answer

Answer:

b

Step-by-step explanation:

PLS HELPpslapskodkdosnsplspslpsl

Answers

it is c! you had it right !!
i believe it is c all the others don’t sound right lemme know if i was right :)

WILL MARK BRAINLIEST

The net represents a pyramid. The area of the square base and each face are shown. Which statements are correct?

A) The length of each side of the square base is 2 "dividing symbol thing"10
units.
B) The base of the pyramid is a triangle.
C) The length of each side of the square base is 10 units.
Eliminate
D) The total surface area of the pyramid is 56 square units.
E) The total surface area of the pyramid is 104 square units.

Answers

E total surface area is 104
the answer is definitely E

please help will mark brainlest if EXPLAINED!
no unnecessary comments
no links or i will take my points back

thank you.

Answers

Answer:

42 minuite

Step-by-step explanation:

18/3 so 6 min of rest per hour. 6 x 7 shows 42 min for 7 hours, with 6 min for each hour.

Help Please! I forgot

Answers

Answer:

Exponential, quadratic, Linear

Step-by-step explanation:

So ok, let me give you a reminder on what these functions are.

So, a linear function is quite literally a strait line. Basically, the values of x and y are being added and subtracted by a ever-constant value.

Next is a quadratic function, which basically a u or upside-down u. The numbers increase, and then decrease, or vise versa. You can think of it like a bird flying up to the clouds, and then gliding back down.

Finally we have exponential functions. Which is a function that gets very, very high. This is because the number is squared over and over again. The bigger the x or y value gets, the bigger it will be next time its squared.

Just for a visual, I took some photos of the different types of functions.

Now, lets get into the problem.

For the first problem:

X is increasing by 1.

Y is increasing by....Lets see.

So it seems y is getting diving by 2 each time the x increases by 1.

It seems sort of like a linear function, right?

Well yes, but if you recall what I said above, the values are being added to or subtracted to. This is division, and is never a exact number. So it cant be that. The values dont go up and then back down, or vise versa like in a quadratic function. Well, could the value of y in this graph be squared by 1/2 to get our answer? Yes! So the answer must be exponential!

Now, lets try to speed through to the next ones.

We can see that the x is changing by 1, while the y changes by a odd and not always the same amount. This istantly means that it cannot be linear. It could be exponential, but if you look closly, you can see that at the end, the values start to decrease. Remember what I said about quadratic function? Then this must be a quadratic function!

That sums up our second function, lets look at our third.

The x is increasing by 1, and the y values are increasing by 6.

Hmm, it seems like each time x increases by 1, y increases by 6. This means it must be a linear function! After all, linear functions increase by a constant amount.

I hope this helps you with your problem and any you have in the future!

Good luck! ; )

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