If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
when q is equal to 2.

Answers

Answer 1

Answer:

[tex]p\ =\ 92[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

[tex]p =23; q=4[/tex]

Required

Find p, when [tex]q = 2[/tex]

We have:

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

Express as equation

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

Make k the subject

[tex]k =pq^2[/tex]

When: [tex]p =23; q=4[/tex]

[tex]k =23 * 4^2[/tex]

[tex]k =368[/tex]

When [tex]q = 2[/tex], we have:

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

[tex]p\ =\ \frac{368}{2^2}[/tex]

[tex]p\ =\ \frac{368}{4}[/tex]

[tex]p\ =\ 92[/tex]


Related Questions

Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?

Answers

Answer:

24 minutes

Step-by-step explanation:

We use 1/a + 1/b = 1/c

where a and b are the individual times and c is the time together

1/40 + 1/60 = 1/c

Multiply each side by 120c

120c( 1/40 + 1/60 = 1/c)

3c + 2c = 120

5c = 120

Divide each side by 5

5c/5 = 120/5

c = 24

Answer: 24 minutes

Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.

Since Elam can wire a light in 40 minutes, we know that in 1 minute,

Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.

Therefore, in t hours, Elam can wire t/40 of the light.

The same applies for Michael, in t hours, he can wire t/60 of the light.

So to solve the problem, we use the following formula:

Part of job done by Elam + part of job done Michael = 1 job done

The part of the job done by Elam is t/40 and t/60 for Michael.

So we have t/40 + t/60 = 1.

Now multiply both sides by 120 to get 3t + 2t = 120

or 5t = 120 so t = 24.

So it takes 24 minutes if they work together.

In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.

Answers

Answer:

70.5º

Step-by-step explanation:

cosB = adj/hyp

cosB = 16/48

cosB = 1/3

B = arccos 1/3

Use calculator

∠B = 70.5º

what is the reciprocal of 9/7?

Answers

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

One winter, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students measured each month How much total snowfall did they receive at their school that winter?

month. snowfall
December 4.2
January. 8.9
February. 5.4​

Answers

Answer: 18.5 inches

Step-by-step explanation:

The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:

= December snowfall + January snowfall + February snowfall

= 4.2 + 8.9 + 5.4

= 18.5

The total snowfall is 18.9 inches.

help with find Find the value of x

Answers

Answer:

x = 6

Step-by-step explanation:

assume those two lines are the diameters of the circle:

2x + 12 = 15 + x + 3

=> x = 6

GIVING OUT BRAINLIEST !!! HELP ME PLSS

Answers

Answer:

Step-by-step explanation:

z=−12i+11
What are the real and imaginary parts of z ?

Answers

Answer:

it is easy simply you can answer-12 imaginary 11 is real

Can u help me with 1/2 plz

Answers

Answer:

1.) Yes, it is a function

2.) No, it is not a function.

Step-by-step explanation:

1.) It is a function because none of the numbers in the x-axis repeat.

2.) It is not a function because the numbers in the x-axis repeats 0 three times.

please help me with this last one

Answers

Q = 91°

Step-by-step explanation:

Note how the angles correspond to each of the shapes:

J ---> S

G ---> R

H ---> Q

I ----> P

Since J = 55°, we can see that S is also 55°. With H = 91°, this means that Q is also 91°

Which pair of launch angles below will travel
the same range given the same initial velocity?
A) 30° and 50°
B) 25° and 35°
c) 40° and 50°
D) 30° and 70°

Answers

To Find :

Which of the given pair of launch angles below will travel  the same range given the same initial velocity.

Solution :

We know, two projectile with same velocity and different angles a and b can have same initial velocity on when the following condition satisfies :

a + b = 90°

Now, putting all the given value in above condition, we get for value 40° and 50° the above condition is true.

Therefore, option c) is correct.

pls answer pls pls hurry

Answers

Answer: This can not be answered unless you choose a bigger photo.

Step-by-step explanation:

Sorry

Yo i need some math expert because im confused:

Is this true??:
9.06 = 9.6

Because if its true, does it mean that if you round it both to the nearest tenth, it would have the same answers.

If its false, i want to know why and what will be the answer if both numbers are rounded to the nearest tenth

MARKING BRANLIEST FOR A VALUABLE ANSWER! Anything off topic will be report.ed.

Answers

Yeah it is true abd it is correct
that’s not correct, 9.06 nearest tenth is 9.1

Find the median and mean of the data set below:
5, 7, 3, 36, 7, 23
Ed

Answers

Answer: mean is 13.5 and median is 7

Step-by-step explanation:

to get median you do (7+7)/2 and get 7 and for the mean you just add all of the numbers and divide by how many numbers there are. Basically it is 81/6 to get 13.5

Answer:

Median = 7

Mean = 13.5

Step-by-step explanation:

To find the median, put them in increasing order:

3, 5, 7, 7, 23, 36

cross out the values on the ends until you meet in the middle:

/, 5, 7, 7, 23, /

/, /, 7, 7, /, /

Find the average of the two middle numbers: (7+7)/2 = 7

Median = 7

For the mean, add all numbers and divide by the amount of numbers you have:

3 + 5 + 7 + 7 + 23 + 36 / 6

=81/6

= 13.5

For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exercise at a gym regularly. The college tudent believes that on average men spend more time at the gym each week. The college student records the number of minutes each person exercises in a given week. The college student conducts a hypothesis test at the 5% significance level.
Use the summary statistics to conduct a hypothesis test in StatCrunch. (Open an empty StatCrunch spreadsheet. Choose Stat, T Stats, two sample, with Summary. Adjust the alternative hypothesis as necessary Two Sample T-Test
Sample n Mean Std. Dev.
Men 75 65.7 13.9
Women 68 64.8 9.6
What conclusion can you draw from the output?
i. The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean amount of exercise (minutes) is greater for men than for women at this gym.
ii. The data provide sufficient evidence to conclude that there is no difference in the mean number of minutes exercised per week for men and women.
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Answers

Answer:

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Step-by-step explanation:

1) The hypotheses are

H0: u1 ≤ u2 against the claim Ha: u1 > u2

The men spend less or equal time than the women  at the gym each week

vs

the men  spend greater time  than the women at the gym each week

2) The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 65.7- 64.8/√(13.9)²/75 + (9.6)²/68

t= 0.9/√2.57613 +1.35529

t=0.4539

and the degrees of freedom is

3) υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

=[(13.9)²/75 + (9.6)²/68]²/ [(13.9)²/75 ]² /74 + [ (9.6)²/68]²/67

= 139

The degrees of freedom is always rounded in this calculation

4) The Critical region is [1.656, ∞]

5) t-score is outside of the critical region, so there is not enough evidence to reject H₀.

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

I need help asap thank you

Answers

the answer is H to your question

Answer:

H

Step-by-step explanation:

Choose the three rectangular prisms that have a volume of 24 cm3.
= 1 cm
A.
D.
E.

Answers

Answer: I think is A, D, E

Step-by-step explanation:

Which of the following measures can have more than one value for a set of data?
© Median
- Mode
© Mean
© None of these

Answers

Answer:

mode

Step-by-step explanation:

Need help I really do pls my going to get a f and I don’t want to repeat

Answers

1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100

Aaron, Glenn, James, Matt and Trevor stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into eight equal pieces and costs seventy cents a slice. Aaron says he will eat one-half of a pizza. Glenn says he will eat one-fourth of a pizza. James says he will eat three-eighths of a pizza. Matt says he will eat four-eighths of a pizza and Trevor says he will eat three-eighths of a pizza. How many whole pizzas do the boys order and what does each boy pay for his pizza slices? Show all your mathematical thinking.

Answers

Answer:

The correct answer is -

1. 2 whole pizza

2. each boy pay for his pizza slices are -

Aaron - $2.80

Glenn - $1.40

James - $2.10,

Matt - $2.80 and

Trevor - $2.10

Step-by-step explanation:

According to the question, Aaron, Glenn, James, Matt, and Trevor are boys who ordered pizza as per their requirements.

Total slices ordered are -1/2 of pizza or 4 for Aaron, 2 for Glenn, 3 slices for James, 4 slices for Matt and 3 for Trevor,

= 4+2+3+4+3 = 16 slices

2 pizza means = 16 slices

total price = 70 cents*16

= $11.20

each boy pay for his pizza slices are -

Aaron - $2.80 - 4 slice

Glenn - $1.40 - 2

James - $2.10, -3

Matt - $2.80 - 4

Trevor - $2.10 -3

Ani was told to write the number four and eight hundredths. She wrote
4.8. Explain whether or not you think Ani is correct. If you think she is not correct, write the number correctly.

Answers

Answer:

It would be 4.08, so Ani is wrong writing it as 4.8.

Step-by-step explanation:

So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:

0.1 --> 1 Tenth

0.01 --> 1 Hundredth

0.001 ---> 1 Thousandth

With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.

Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.

Plz help me I mark you brainlylist and give point

Answers

Answer:

Step-by-step explanation:

part a ) Triangular prism

part b) 6

what is the value of b?

Answers

Answer:

24

Step-by-step explanation:

2b = b+24

2b-b = 24

b = 24

A TV has a listed price of $864.98 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Step-by-step explanation:

you would do 864.98 times 109.75% it would be estimated to 949 dollars

Find the equation of the line that passes through the points (-2, - 5) and (3. – 8).​

Answers

Answer:

Equation of line that passes through the points is; y= -13x - 31

Step-by-step explanation:

Given coordinates;

(- 2, - 5) and (3. - 8)

Find:

Equation of the line

Computation:

Equation of line that passes through the points is;

y = mx + c

So,

in (- 2, - 5)

-5 = m(-2) + c

-5 = -2m + c ...................Eq1

in (3, - 8)

- 8 = m(3) + c

-8 = 3m + c .....................Eq2

From eq2 + eq1

m = -13

-5 = -2m + c

-5 = -2(-13) + c

-5 = 26 + c

c = -31

So,

y = mx + c

y = (-13)x + (-31)

Equation of line that passes through the points is; y= -13x - 31

find the solution for x if |6x+8|=32

Answers

Answer:

X = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

the solution is X = 4.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

hence, the solution is x=4.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

If x varies inversely as y and x = 24 when y = 4, find x when y = 12.

Answers

what that makes no sense

What are the repeating digits in the smallest group of repeating digits in the decimal equivalent of the fraction shown below?



1111/999

Answers

Answer:

1.112

Step-by-step explanation:

First, divide 1111 by 999 to find the decimal equivalent. 1111 divided by 999 equals 1.112112112

Second, look at the digits to see the smallest sequence of digits that repeat. The digits that repeat are 1 1 and 2

can I have brainlyest

What is the radius of an arc length of 8 m that measures 45°?

Answers

The radius is 28.......

If the measure of angle A=55 degrees, b=12, and c = 7 then find the measure of angle B.

Answers

Answer:

use the sine rule

Step-by-step explanation:

Can someone help me please?

Answers

9514 1404 393

Answer:

  [tex]\textsf{B.}\ \ 6x-1+\dfrac{-11x+8}{x^2+3}[/tex]

Step-by-step explanation:

See the attachment for the working out of the long division.

Other Questions
What is the miss angle in F? Sorry, I didn't put page 5. Here's 5 and 6. what is the difference between mechanical advantage and distance advantage? Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR Find the area of this circle. Use 3.14 for . A circle has diameter 62 feet. 62 ftPLS HELP A 0.50-m long solenoid consists of 500 turns of copper wire wound with a 4.0 cm radius. When the current in the solenoid is 22 A, the magnetic field at a point 1.0 cm from the central axis of the solenoid is what is file management?can please help me Simplify for ez fast points! At the beach, 49% of people have red towels and 11% have blue towels. If therest have white, what percentage of the people at the beach have whitetowels? State the signs and symptoms seen in graves disease which are not usually associated with other causes of thyrotoxicosis A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented byh(t) = -16t + 20x + 24How many seconds will it take for the to reach the ground? Identify the grammatically correct sentence.The University offers many majors in engineering. Such as chemical, industrial, and electrical engineering.The university offers many majors in engineering, such as chemical, industrial, and electrical engineering.The university offers many majors in engineering: such as chemical, industrial, and electrical engineering.The university offers many majors in engineering - such as chemical, industrial, and electrical engineering. What is the answer for this question above Some resources of the southern states are peanut butter, cotton, tobacco, and petroleum.TrueFalse The partial pressure of N2 in a mixture of gases, where the total pressure is 1.50 atm, is 300. torr. What is the mole fraction of N2 se lanza un cuerpo desde el origen con velocidad horizontal de 40 m/s, y con un ngulo de 60. calcular la mxima altura y el alcance horizontal. A sealed container contains a sample of air. The average speed of a hydrogen gas molecule in this container is 2222 meters per second. What is the average speed of a nitrogen gas molecule, in meters per second , in the container What is most likely to happen if an individual restricts consumption of dietary fat to very low levels?A. development of scurvyB. development of atherosclerosisC. loss of insulation around vital organsD. loss of hemoglobin from red blood cells I usually go to school. change to present simple. What is mass incarceration and how does mass incarceration stem from racism?