If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

Answers

Answer 1

Answer:

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

Answer 2

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

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

The value of p is equal to 304 when q is equal to 2

Learn more :  brainly.com/question/16069814


Related Questions

What is the measure of angle SUT?
A) 35
B) 70
C) 110
D) 290

Answers

The answer is 110 degrees. The sum of all the angles need to equal 180

Answer:

C

Step-by-step explanation:

35+35+x=180

x=180-70

x=110

Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week

Answers

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation:

A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?

Answers

Answer:

9

Step-by-step explanation:

you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12

Sorry im in a hurry

a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

Answers

Answer:

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

[tex]V = a^3\\2197 = a^3[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?

Answers

Answer:

7 days

Step-by-step explanation:

Bamboo plant A = 1.2 + 0.45d

Bamboo plant B = 0.85 + 0.5d

Where,

d = number of days

Equate the two growth

Bamboo plant A = Bamboo plant B

1.2 + 0.45d = 0.85 + 0.5d

Collect like terms

1.2 - 0.85 = 0.5d - 0.45d

0.35 = 0.05d

Divide both sides by 0.05

d = 0.35 / 0.05

d = 7 days

Plant B be taller than Plant A after 7 days

Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS

Answers

Given:

Side length of square is x = 10 in.

To find:

Area of a square with side length x when x = 10 in.

Check whether the area of a square and the length of its side directly proportional.

Solution:

Area of square is

[tex]Area=(side)^2[/tex]

[tex]Area=x^2[/tex]

For x=10, we have

[tex]Area=(10)^2[/tex]

[tex]Area=100[/tex]

Therefore, the area of square is 100 sq. in. when x=10 in.

For x=1,

[tex]A_1=1^2=1[/tex]

[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]

For x=2,

[tex]A_2=1^2=4[/tex]

[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]

Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].

Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.

the table shows conversions of common units of length.


Unit of Length

Customary System Units

Metric System Units

1 inch

2.54 centimeters

1 foot

0.3048 meters

1 mile

1.61 kilometers


1 yard = 3 feet

1 yard = 36 inches


Which shows the best path to find the number of centimeters in 1 yard?

yards Right-arrow inches Right-arrow centimeters

yards Right-arrow feet Right-arrow centimeters

centimeters Right-arrow feet Right-arrow inches

centimeters Right-arrow feet Right-arrow yards

Answers

Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

2 ¿Cuál es la relación entre el área del dibujo a escala y el área de la cancha de baloncesto real? escala 4.2 pulgadas A. Muestra cómo puedes hallar el área de 1 pulgada : 20 pies D. ¿La razón entre el área real y el área del dibujo es la misma que la razón entre la cancha en el dibujo a escala B. Muestra cómo puedes hallar la longitud y el ancho de la cancha real. C. ¿Cuál es el área de la cancha de baloncesto real? Muestra tu trabajo. las longitudes reales y las longitudes del dibujo? Explica tu respuesta,​

Answers

Answer:

i don't have the answer but this is the translation guys

Step-by-step explanation:

What is the relationship between the area of ​​the scale drawing and the area of ​​the actual basketball court? 4.2 inch scale A. Show how you can find the area of ​​1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of ​​the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,

Given the table, explain how to find the slope of the linear function

Answers

Answer:

Slope is 3

Step-by-step explanation:

y2 - y1/x2 - x1 = m

6 - 12/0 - 2 = m

-6/-2 = m

3 = m

Pls brainliest

32 lbs of apples cost $160. How much would 25 lbs cost? *

Answers

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

Answer

125$

Step-by-step explanation:

5x32=160

5x25=125

Each pound of apples is equivalent to 5$

it's asking me to order them from least to greatest how do I do that with tables ​

Answers

Hi there! Hope this helps.

Answer:

Look below.

Step-by-step explanation:

I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.

Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.

I would really appreciate it if sombody helped me please i suck at me math :(

Answers

the exponent 2 outside the brackets is distributed on 3 as well. 3 exponent 2 gives 9, not 6. answer would be 9x^4y^8

What number is 9% of 118?

Answers

Answer:

10.62 is the correct answer ☺

The correct answer is 10.62 or 11 rounded:)

Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for each take. The second band charges S20 plus $25 for each take.

Answers

Answer:

The second band

Step-by-step explanation:

50+20=70

20+25=45

Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?

A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards

Answers

Answer:

it should be 12

i think :)

i hope im correct

Step-by-step explanation:

It should be 12
I think
Step-by-step-explanation
:D

HELLLLPPPP MEEE PLZZZ!!!!

Answers

What happened?
I think I can help :3

LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many

Answers

Answer: D

D-infinitely many

Step-by-step explanation:

Took the Analyzing Solutions quiz on Edge 2020

Answer: D

D-infinitely many

Step-by-step explanation:

Edge 2020

What is the image point of (-5,3) after a translation left 3 units and down 1 unit?

Answers

Answer:

(- 8, 2 )

Step-by-step explanation:

A shift of 3 left means subtract 3 from the x- coordinate

A shift of 1 down means subtract 1 from the y- coordinate

Translation rule is

(x, y ) → (x - 3, y - 1 ), thus

(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )

A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"

Answers

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

26=6k+8-6+2k

Need ASAP

Answers

Answer: k = 3

Step-by-step explanation:

Answer:

k=3

Step-by-step explanation:

26=6k+8-6+2k

combine all common integers from the same side, (8-6) and (6k+2k).

8-6=2

6k+2k=8

Which now translates the equation to 26=8k+2.

26=8k+2

continue by moving the (2) to the other side, do so by subtracting 26-2.

26-2=24

24=8k

Lastly, move the 8 to the other side of the equation by dividing 24/8.

24/8=3

Therefore, k=3

:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)

Answers

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Spectrum word problems Grade 8 HELP

Answers

Answer:

add all the numbers up in 1 2 3 4 and 5

Step-by-step explanation:

Answer:3 4 5 7

Step-by-step explanation:

What is 4/6 + 5/7

Please add the fractions

Answers

[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]

what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

Answers

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.​

Answers

Well.

Step-by-step explanation:

For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.

Step-by-step explanation:

You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah

'Solve 4x- c= k for x.

Answers

Answer:The answer would be x=c+k/4

Step-by-step explanation:

The required solution for the equation ax -c = k for x is x = (k + c)/4.

Given that,
To determine the solution of the equation  4x- c= k for x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x - c = k
Now, simplifying the above equation for x,
4x - c = k
4x = c + k
x = (c + k) / 4

Thus, the required solution for the equation ax -c = k for x is x = (k + c)/4.

Learn more about simplification here: https://brainly.com/question/12501526

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Nolan uses 3 yards of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?

Answers

Answer:

18

Step-by-step explanation:

6×3=18

Answer:

18

Step-by-step explanation:

please everyone mark me as brainlest

Answers

Answer:

for brainliest you have to give answers not to ask questions

Step-by-step explanation:

then the people choose you brainliest if you give good answers

Please hurry I need this fast

Answers

C. It’s C because those are vertical angles and not alternate Interior angles

Answer:

c

Step-by-step explanation:

£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day


I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out​

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

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