if p is inversely proportional to the square of q, and p is 9 when q is 5, determine p when q is equal to 3

Answers

Answer 1

Answer: tell me if i am wrong

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^{2} }[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^{2} }[/tex] =[tex]\frac{k}{64}[/tex]  ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^{2} }[/tex] ← equation of proportion

When q = 2, then

p =  [tex]\frac{1216}{2^{2} }[/tex]=[tex]\frac{1216}{4}[/tex]=304


Related Questions

A quantity with an initial value of 650 grows exponentially at a rate of 20% every week. What is the value of the quantity after 70 days, to the nearest hundredth?

Answers

Answer:

4024.62

Step-by-step explanation:

the value in 70 days can be determined using his formula

FV = P (1 + r)^n

FV = Future value  

P = Present value = 650

R = growth rate = 20%

N = number of weeks = 70 / 7 = 10 weeks

650 x (1.2)^10 = 4024.62

Answer:

The Answer is 4024.62

A scientist was in a submarine, 27.4 feet below sea level, studying ocean life. Over the next ten minutes, she went down 23.8 feet. How many feet was she now below sea level?

Answers

Answer:

She was initially at a depth of 24.7 feet before she rose

Step-by-step explanation:

Convert the following fractions into mixed numbers: 15/7

Answers

Answer:

2 1

   7

Step-by-step explanation:

The number of pancakes y is proportional to the cups of pancake mix x that is used to make the pancake batter. The pancake batter will make 10 pancakes when 2 cups of pancake mix is used. Write an equation that represents the situation.

Answers

Answer:

y=5x

Step-by-step explanation:

10=m x 2

m=5

Brainliest?

Answer: For the first one, it’s y=5x and even though you didn’t put it, for the second question, it’s 30 dollars

Step-by-step explanation:

1. 10/2=5. Y=5x

2. 5*5 = $25.00

Hey! Can someone help me with this! Please thank u!

Answers

Step-by-step explanation:

1. vertical opposite angles

2. corresponding angles

3. alternate interior angles

4. alternate exterior angles

5. corresponding angles

6. vertical opposite angles

7. alternate exterior angles

8. vertical opposite angles

9. corresponding angles

10. alternate exterior angles

4) Haleakela is a 10,000 foot high dormant volcano on Maui, Hawaii. The peak is a horizontal distance of 30,000 feet from the ocean. At what angle would you have to look up to see the peak if you were standing at the edge of the ocean?​

Answers

ITS 67 dgrees Step-by-step explanation: NP BRAINLIEST OR NA :)?

The angle that you would have to look up to see the peak if you were standing at the edge of the ocean is 18.4°.

Angle:

Let x represent the angle

Tan x=Height/Horizontal distance

Tan x =10,000/30,000

x=Tan^-1 (1/3)

x=18.4°

Inconclusion the angle that you would have to look up to see the peak if you were standing at the edge of the ocean is 18.4°.

Learn more about angle here:https://brainly.com/question/25770607

Determine the numerical value of x ​

Answers

Answer:

x = 10

Step-by-step explanation:

OA = OD ( both radii of the circle )

OD = OB + BD = x + 16

OB is at right angles to OB ( line from centre to midpoint of chord is right )

Using Pythagoras' identity in right triangle ABO

OA² = OB² + AB² , that is

(x + 16)² = x² + 24²

x² + 32x + 256 = x² + 576 ( subtract x² from both sides )

32x + 256 = 576 ( subtract 256 from both sides )

32x = 320 ( divide both sides by 32 )

x = 10

what is 2 3/4 as an improper factor..? just asking

Answers

Answer:

11/4

Hope this helps

Answer:

11/4

Step-by-step explanation:

An improper factor is a fraction that has a higher numerator (number in top) than the denominator (number in the bottom). Some examples of improper factors are 9/8 or 5/3 bc the top number is higher than the bottom one.

You can get the answer by multiplying 2 × 4 bc we want to know how many fourths (1/4) are in 2. In this case there are 8

then we add 8/4 with 3/4 to get 11/4

What is the volume of a sphere with a radius of 24 units?

Answers

Answer:

V≈57905.84

Step-by-step explanation:

Divide and answer in simplest form 1/2 divider by 4

Answers

Answer:

A [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex]÷4=[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{4}[/tex]=[tex]\frac{1}{8}[/tex]

Dividing by four is also the same as multiplying by it's reciprocal which is [tex]\frac{1}{4}[/tex].

Answer:

1/8

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex]÷[tex]\frac{4}{1}[/tex]

The second fraction flips.

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex]

Multiply across.

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]

Please help will give brainliest!!!!!!!!

Answers

Answer:

1/ 8 ^2

Step-by-step explanation:

When we are dividing exponents with same base all we do is subtract the denominator by the numerator (the exponent)

In this scenario we have  8^3 / 8^5

We are saying 8 * 8 * 8 / 8 * 8 * 8 * 8 * 8   When we cancel out the 8's were left with 1 / 8^2

or we could just subtract if that method is too long

Michelle earns $250 a week as a waitperson plus tips. Her tips average 28% of her customers’ total bills. Last week, the total for all her customers’ bills was $4,275.00. Find her earnings for last week.
A)$1,447
B)$1,197
C)$1,267
D)$4,525

Answers

Answer:

1 Week = $250

Tips= $4275*28% = $1197

Total Earnings= $250+$1197 = $1447

Here is a rectangular prism. What is the volume of the prism, in cubic feet?

Answers

Answer:

It's 14 multiply by 8 multiply by 3

So it's 336

17 is 12.5% of what number?

Answers

212.5

17/12.5=212.5

:)

Find the m Angle J if m Angle K = 29° and they are complementary angles.

Answers

Answer:

∠J = 61º

Complimentary angles are angles that add up to 90º

∠J = 90º - ∠Kº

= 90º - 29º

=61º

Find the value of x in the triangle shown below.
27
2
98

Answers

Answer:

Step-by-step explanation:

The red line and the blue line buses both stop at the football stadium. A red line bus and a blue line bus both left the stadium at 6:00 p.m. red line buses are scheduled to leave the stadium every 6 minutes. blue line buses are scheduled to leave the stadium every 8 minutes. If the buses run on schedule, when is the next time a red line and a blue line bus will leave together?

A.6:24 pm
B6:36 pm
C.6:48 pm
D. 7:00

Answers

Answer:

A - 6:24

Step-by-step explanation:

QUICK whoever gives the correct answer gets Brainliest

Answers

Answer:

72.3%

Step-by-step explanation: multiply .723x100 to get 72.3 because your looking for the percent(multiply by 100 when your trying to find what something is as a percent)

I really couldn't give a cra p if you don't answer because I already know nobody's going to answer that in case somebody answer please answer correctly

Answers

Answer:

D, A, A, 130, 10

Step-by-step explanation:

99% sure these are correct pls mark brainliest

Answer:

I think the first is B and the second would be A

Step-by-step explanation:

.......

I NEED HELP ASAPPP! PLEASEEE

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,

Step-by-step explanation:

l

the answer would be 111

The volume of this figure is

Answers

Answer:

8 x 10 = 80

80 divided by 2 = 40

40 x 9 1/2 = 380

380 is the answer because what the person did above was correct. :)

I'm not 100% sure on how to figure out this equation, can can anyone help out?

Answers

Answer:

Aonnalin, great name  :)  answer as below

Step-by-step explanation:

They tell us to use slope-intercept form.   This is something you will just have to remember  y = mx+b    

It is confusing b/c there is the other one, the point-slope formula too.  but just remember both and know that the point-slope one is to get to the slope-intercept one.    y-y1 = m(x-x1)  

m= slope

m = (y2-y1) / (x2-x1)

P1= (0,7)  in the form (x1,y1)

P2 =(8,-2) in the form (x2,y2)

m = -2-7 / 8-0

m = -9 / 8

now that we have the slope, just use either point with the point-slope

y-7 = (-9/8)(x-0)

y-7 = -9x/8

y = -9x/8 + 7

y = [tex]\frac{-9}{8}[/tex] X + 7

slope-intercept form  :)

Please help me 20 points for whoever can answer this correctly
If GH = 7x + 18 and JK = 81, find x.

38.64
55
14.14
9

Answers

ANSWER:
X=9

STEPS:
81=7x+18

Subtract 18 from both sides

63=7x

Divide both sides by 7

X=9


PLEASE MARK ME BRAINLIEST

What is the equation of the circle with center (2,-5) that passes through the point (-2,10).

(x-2) ^2 + (y+5)^2=25
(x+2) ^2 +(y-5)^2=241
(x-2)^2 +(y-5)^2=241
(x+2)^2 + (y-5)^2=25

Answers

Answer:

b is the answer

Step-by-step explanation:

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Exact Form:

x= -9±[tex]\sqrt{17}[/tex] / 16 (over 16)

I am not sure how to solve this. I have tried many times.

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,

Please see attachment below, 40 points!!!

Answers

Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.

Step-by-step explanation: Sorry if im wrong.

Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive

Which factors most influence whether a person will develop Alzheimer's disease?

O

o

O

O

the person's environment and social interaction

the person's genetics and environment

the person's gender and age

the person's salt intake and stress level

Mark this and return

Save and Exit

Submit

Answers

Answer:

Genetics and Age

Step-by-step explanation:

The disease is hereditary meaning it gets passed down from past generations.

Answer:   The correct answer is the genetics and environment

Step-by-step explanation:   According to the NHS, all of these options could contribute to Alzheimer's disease, though hereditary genetics and the environment are more significant factors. Confirmed correct.

What angles are congruent to angle 1

Answers

Answer:

<6 and <3 are congruent to <1.

Answer:

angle 7

Step-by-step explanation:

angle 1 + angle 5 =180

and angle 5 = angle 7

angle 1 is congruent to angle 7

it's incorrect

If a 50 kg car accelerates at a speed of 10 miles per second squared, what will the force of the car be? (Remember: Force = mass x acceleration) *

Answers

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N

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