If p is inversely proportional to the square of q, and p is 18 when q is 2, determine p when q is equal to 3

Answers

Answer 1

Answer:

p = 8

Step-by-step explanation:

If p is inversely proportional to the square of q,

Mathematically

p ∝ 1/q²

p = k × 1/q²

p = k/q²

p is 18 when q is 2,

We find k

18 = k/2²

Cross Multiply

k = 18 × 2²

k = 72

Determine p when q is equal to 3

Hence,

p = k/q²

k = 72, q = 3

p = 72/3²

p = 72/9

p = 8


Related Questions

What is the answer please and thank you

Answers

Answer:126m2

Step-by-step explanation:

Since they are both rectangles, use the area of a rectangle equation to find it which is length times width. What I would do first is find the area of the big rectangle which is 10*15 which is 150. Then I would find the area of the white space which is 6*4 which is 24. Since the white space is not part of the question, subtract 24 from 150 which gets you 126m2. Hope this helps :)

Which of the following functions translates the graph of the parent function
f(x)=x2f(x)=x2
horizontally left 8 units?

Answers

Answer:

(x + 8)^2

Step-by-step explanation:

f(x) ----> f(x + 8)

An A grade will be given to students having at least 370 total test points. There is one more test to take before the semester is over. Lesha wants to know what she needs to score on the next test to finish with an A. Write and solve an equation to determine what score she needs to get. Explain your reasoning.

Answers

Answer:

95 points

Step-by-step explanation:

Given

[tex]n = 370[/tex] --- expected point

See attachment for points

Required

An inequality to determine the points needed

First, we calculate the points (p) Lesha has already accumulated.

[tex]p = Test\ 1 + Test\ 2 + Test\ 3[/tex]

[tex]p = 75 + 100 + 100[/tex]

[tex]p = 275[/tex]

Let the number of points needed be t.

So:

[tex]p + t = 370[/tex] ---- i.e. She must score a total of 370

Make t the subject

[tex]t = 370 -p[/tex]

Substitute 275 for p

[tex]t = 370 -275[/tex]

[tex]t = 95[/tex]

hey! please help i’ll give brainliest

Answers

Answer: A goverment by people

Step-by-step explanation:

*35 BRAINLY POINTS! BRAINLIEST TO THE FIRST CORRECT PERSON!*

The table below shows the cost of a pizza based on the number of toppings. (attached)
Which function represents the cost of a pizza with n toppings?

C(n) = 12 + n

C(n) = 1.5n + 12

C(n) = 12 + 1.5(n – 1)

C(n) = 12n

Answers

Answer:

C(n) = 12 + 1.5(n – 1)

Step-by-step explanation:

1. Which of the following represents the perimeter of a square whose diagonal measures 10 centimeters?

Answers

Answer:

20√2 cm

Step-by-step explanation:

The required perimeter of the square is 20√2 cm.

1 and 2 are complementary angles. The measure of 1 is 62 degrees. The measure of 2 is 2x degrees. Find the value of x. The figure is not drawn to scale. The value of x is ?

Answers

Complementary = 90 degrees
Measure 1 + measure 2 = 90
62 + 2x = 90
2x = 28, x = 14

Solution: x = 14

3. A picture costs $40 but Brian has a coupon
for 10% off. How much money will Brian have
to pay for the picture?

Answers

Answer: $36

Step-by-step explanation: 10% of 40 is 4 so 40- 4 is 36

Select all the true statements.

A. 2 + (−2) is equal to zero.

B. (−3) + (−4) is positive.

C. −2 − (− 2) is positive.

D. 5 + (−2) is positive .

E. 7 − (−10) is negative.

Answers

Answer:

A and D

Step-by-step explanation:

Answer:

A. 2 + (−2) = 2 - 2= 0, true.

B. (−3) + (−4) = - 3 - 4 = -7 is negative, False

C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.

D. 5 + (−2) = 5 - 2 = 3,is positive true.

E. 7 − (−10)= 7 + 10 = 17  is psoitive, false

options : A, D

how many solutions does 12x - 5 - 6x = -5 + 6x have​

Answers

This problem has “Infinitely Many Solutions.”

Hope this helps!!!!

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

5 N towards north I think

Step-by-step explanation:

I NEED YOUR HELP FAST!!!!

Answers

Answer:

[tex]c. \: {w}^{64} [/tex]

Sorry if i get it wrong

C. I believe, if I am wrong I’m sorry.

Whoever has the correct answer gets brainliest! What is the area of this trapezoid? This is Geometry by the way.

Answers

Answer:94.5

Step-by-step explanation:


A 300-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long

Answers

Answer:

60 inches

Step-by-step explanation:

The length of shorter piece is = 1/5 × 300 = 60 inches

Find the change in temperature from –11°F to 17°F.
Question for algebra ❤️

Answers

You could simply remove the negative sign and add those two values up.

17 + 11 = 28

The change in temperature is 28°F

Round 8.157 to the nearest hundredth.

Answers

Answer:

I believe the answer is 8.16 pardon me if it's wrong.

Answer:

8.18

Step-by-step explanation:

First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 8

Fractional Part: 175

To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 8.175 to the nearest hundredth:

A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:

8.18

Identify the inverse variation and graph in which y = 0.5 when x = 10.

Answers

Answer:

Step-by-step explanation:

I need help asappppppppp

Answers

Answer:

I'm not sure but I think is 31.4

Step-by-step explanation:

multiply 15.70 twice

What is the mean of the data set?

10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16


12.00

12.25

12.75

15.50
A town's yearly snowfall in inches over a 10-year period is recorded in this table.

What is the mean of the snowfall amounts?


16.4 in.

17.1 in.

17.4 in.

18.1 in.
Year Snowfall in inches
2001 11
2002 15
2003 19
2004 17
2005 23
2006 20
2007 17
2008 13
2009 18
2010 21
Jody's team scored 21, 25, 36, 16, and 32 points at the last five football games.

What is the mean number of points Jody's team scored?


20 points

21 points

25 points

26 points
What is the mean of the values in the stem-and-leaf plot?


Enter your answer in the box.
3|1
4|
5|5
6|8
7|0, 0, 2
Key: 2|5 means 25

Answers

Ok, im guessing that this is all about mean

First mean is just adding everything up for example:

5+5+10+10+5

so the answer is 35, but that isnt completely finished you need to divide 35 by 5, or how many numbers were added then you get the mean for my example the mean is 7

------------------------------------------------

ACTUAL PROBLEMS

1. 10+15+14+8+18+11+12+12+10+10+17+16 = 153

153/12= 12.75

2. 16.4+17.1+17.4+18.1= 69 B)

69/4=17.25

3.  11+15+19+17+23+20+17+13+18+21=174

174/11=15.8181818182

4. 21+25+36+16+32= 130

130/5=26

a

What is the mean of 53,13,34,41 26,61,34,13,69?

Answers

the mean is 38.2
the 2 is repeating

Can someone pleasee help

Answers

Answer:

0,8 because it's just the y intercept

Caculate the temperature change if 3456 J of thermal energy was transferred into 3.0 kg of lead? The specific heat of lead is 128 J/kgo C.

Answers

Answer:

9°C

Step-by-step explanation:

quantity of heat energy absorbed is expressed as;

Q = mcΔt

m is the mass

c is the specific heat capacity

Δt is the change in temperature

Substitute the given values

3456 = 3 * 128 Δt

3456 = 384Δt

Δt = 3456/384

Δt = 9°C

Hence the temperature change is 9°C

Aaron, Bonny and Connor are playing a game with cards.

Aaron has some cards.
Bonny has twice as many cards as Aaron.
Connor has 6 cards more than Bonny.

They have a total of 101 cards.

Work out how many cards Aaron has.

Answers

Let the number of cards Aaron has : A

Given :

⊕   Bonny has twice as many cards as Aaron

⊕   Connor has 6 cards more than Bonny

⊕   Total cards : 101

⇒  Number of cards Bonny has : 2A

⇒  Number of cards Connor has : 2A + 6

⇒   Aaron cards + Bonny cards + Connor cards = 101

⇒   A + 2A + 2A + 6 = 101

⇒   5A = 101 - 6

⇒   5A = 95

⇒   A = 19

Answer : Aaron has 19 Cards

Can somebody please help me

Answers

Answer:

39

Step-by-step explanation:

78/2 = 39

Last summer milo sold water bottles at the park to raise money for his baseball team he made the table below does the table shows a proportional relationship how do you know

Answers

Answer:

No

Step-by-step explanation:

For a proportional relationship :

y = kx

Where , k = constant of proportionality

Taking the first set of data:

x = 50 ; y = 10

10 = 50k

k = 10/ 50 = 1/5

Hence, the proportional equation or relation is :

y = 1/5x

Check if this is true for other data points on the data :

Taking the second data point :

x = 85 ; check if y will be 20

From :

y = 1/5x

y = 1/5*85

y = 85/5

y = 17

Since ;

y value from the equation isn't the same as that in the table, then the table does not show a proportional relationship.

19 ft 17ft 19 ft Volume =​

Answers

Answer:

1,022.83 ft³

Step-by-step explanation:

volume= ⅓×½××19×17×19 = 1,022.83 ft³

Find the surface area. Round the nearest hundredth.

Answers

Answer: 31.42 m

Step-by-step explanation:

[tex]A=2\pi rh+2\pi r^2[/tex]

[tex]A=2\pi (1)(4)+2\pi (1)^2[/tex]

[tex]A=31.42[/tex]

Hope this helped! ;)

I need to find both x’s

Answers

Answer:

[tex]x=6[/tex]

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-36[/tex]

[tex]x^2-36=0[/tex]

[tex]x=36[/tex]

x= ±√36

x= ±6

----------------------

hope it helps...

have a great day!!

Answer:

x=6

x=-6

Step-by-step explanation:

hope it helps..

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Area=

[tex]\pi \times r {}^{2} [/tex]

1)To find radius diameter/2

21.5÷2=10.75

[tex]10.75 {}^{2} \times \pi = 362.87[/tex]

area =362.87cm

2)

[tex]\pi \times 13.2 {}^{2} = 547.39[/tex]

area=547.39cm

a)

Area = pie × ( 21.5 / 2 )^2

Area = pie × ( 10.75 )^2

Area = pie × 115.5625

Area = 3.14 × 115.5625

Area = 362.86625 cm^2

___________________________

b)

Area = pie × ( 13.2 )^2

Area = pie × 174.24

Area = 3.14 × 174.24

Area = 547.1136 ft^2

A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216 cm3.
What is the area of the base of the pencil holder in square centimeters?

Answers

Answer:

18 square centimeters

Step-by-step explanation:

YW :)

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