If p p and q q vary inversely and p is 17 when q is 4, determine q when p p is equal to 2.

Answers

Answer 1

Answer:

[tex]q = 34[/tex] when [tex]p = 2[/tex].

Step-by-step explanation:

Variables [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another if one variable- for example, [tex]p[/tex]- is proportional to the reciprocoal of the other variable- [tex](1/q)[/tex].

In other words, if [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another, there would exist a constant [tex]k[/tex] ([tex]k \ne 0[/tex]) such that:

[tex]\displaystyle p = k\times \left(\frac{1}{q}\right)[/tex].

The value of [tex]k[/tex] is constant and is independent of [tex]p[/tex] and [tex]q[/tex]. Given that [tex]p = 17[/tex] when [tex]q = 4[/tex], rearrange the equation above to find the value of [tex]k\![/tex]:

[tex]k = p\, q = 68[/tex].

Rewrite the equation again to find [tex]q[/tex] in terms of [tex]k[/tex] (which doesn't change) and [tex]p[/tex] (which might change):

[tex]\begin{aligned}q &= \frac{k}{p}\end{aligned}[/tex].

Since [tex]k = 68[/tex], given that [tex]p = 2[/tex], the value of [tex]q[/tex] would be:

[tex]\begin{aligned}q &= \frac{k}{p} \\ &= \frac{68}{2} = 34\end{aligned}[/tex].


Related Questions

help me please. need help fast.

Answers

Answer:

120

Step-by-step explanation:

because its parallel to 3 and if its a reflection or rotation of it it would be the same so it would be 120 degrees

Given h(x)=-x+2h(x)=−x+2, find h(4)h(4).

Answers

Answer:

(-4 + 2 • h(4))^2

Step-by-step explanation:

h(4)h(4)

h(4) • h(4) = (-4 +2 • h(4)) • (-4 +2 • h(4))


Calculate

(-4+2× h(4)) × (-4+2× h(4))

Simplify using exponent rule with same base

a^n • a^m = a^n+m

(-4+2× h(4))^2

I hope this helps out.

how to find area of triangle

Answers

Answer:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

❒ Question -:

How to find the area of a triangle?

❒ Explanation -:

Triangle :

A polygon which has three sides is called a triangle.

Formula :

Assume a rectangle ABCD and let the height be h and base be b.

If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.

The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.

[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]

This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.

(question in image)

i need the equation and it solved

Answers

Answer:

Option ASpeed of plane is 240 km/h, speed of wind is 50 km/h

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

(r + w)*6 = 1740

The second equation is

(r - w)*3 = 570

Simplify both equations and solve the system

r + w = 1740/6 ⇒ r + w = 290r - w = 570/3 ⇒ r - w = 190

Solve by elimination, add up the equations

r + w + r - w = 290 + 1902r = 480r = 240

Find the value of w

240 + w = 290w = 290 - 240w = 50

The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square centimeters. Find the length and width of the rectangle.

Answers

Answer:

Length: 8 cm

Width: 2 cm

Step-by-step explanation:

Check the attachment.

Which graph shows the effect of changing the slope of the line
y = 1/2x - 3 to 2?

Picture linked below if you want

Answers

Answer:

A

Step-by-step explanation:

Y intercept is -3

Rise 2 run 1

A valuable watch has an original price of $x. It is sold for $5304 after its original price has been increased by 2% and then by 4%. Find x.
SHOW YOUR WORKING. ​

Answers

Answer:

$5416.67

Step-by-step explanation:

If A valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part

let the original price be x.

The selling price of watch is $5304 .

2% of $5304  is 2/100×5304=0.02×5304

=106.08

Now let us remove the 2% from the selling price of the watch.

$5304 - 106.8 =5197.2

4% of $5197.2 is 4/100×5197.2=0.04×5197.2

=207.888

So Selling price of watch minus percentage in increase is the original price

5304-207.888=5096.1

Hence if a valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

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I need help problem in the picture below

Answers

Answer:

The answer is three

Step-by-step explanation:

The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.

∠1 and ∠2 are linear pair. If m∠1 = 3x + 4 and m∠2 = 2x – 9, find x.

Answers

Answer:

37

Step-by-step explanation:

Linear pairs are supplementary (adds up to 180)

m∠1 + m∠2 = 180

3x + 4 + 2x - 9 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps :)

Have a nice day!

In a different plan for area​ codes, the first digit could be any number from 4 through​ 8, the second digit was either 0, 1, or 2​, and the third digit could be any number 4 except With this​ plan, how many different area codes are​ possible?

Answers

Answer:

135 choices

Step-by-step explanation:

5 choices for 1st dig

3 choices for 2nd dig

9 choices for third digit

5 x 3 x 9 = 135

Answer:

135

Step-by-step explanation:

But, for the last digit that is go from 0-9 except the 4

So it also depends on the range for the last digit

Hope this helped! :)

(Will give brainliest help asap pls)

A membership at a classic film center cost $75 per year.tickets to film cost members $5.50 . Which of the following statements is true of the annual cost of membership at the film center? Let y= total cost and x= number of films seen.

A. The annual cost is shown by the linear function y=x+5.50. The rate of change is 1, and the initial value is 5.50

B. The annual cost is shown by the linear function y=75x+5.60. The rate of change is 75, and the initial value is 5.50.

C. The annual cost is shown by the linear function y=80.50x. The rate of change is 80.50, and the initial value is 0.

D. The annual cost is shown by the linear function y=5.50x+75. The rate of change is 5.59, and the initial value is 75

Answers

D because 5.50 is x and your y so boom D

Please help.
Solve for a

Answers

Answer:

a = [tex]\sqrt{68}[/tex] = 8.2

Step-by-step explanation:

Look at picture ↓

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]:)[/tex]

Answer:

60

Step-by-step explanation:

You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.

1. The side we're solving for can either be called a or b. Let's call it A.

2. Now, switch around the theorem to solve for a: [tex]C^2-B^2=A^2\\[/tex]

3. Plug in what we know: [tex]8^2-2^2=a^2[/tex]

4. It simplifies down to [tex]60=a^2[/tex]

5. The  "[tex]a^2[/tex] " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root

6. This leaves us to take the square root of both sides, which isolates a.

7. [tex]\sqrt{60}[/tex] is the answer. It's asking for it in the square root so we don't need to simplify it.

Please help! Will mark brainlyest.

Answers

Answer:

D

Step-by-step explanation:

there is a curve

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

the answer to your question is 9 miles

the answer in its simplest from is 9 miles

i really need some help on this question

Answers

Answer:

What is the car's rate in kilometers per minute?

[tex]0.9\frac{km}{min}[/tex]

How many kilometers will the car travel in 5 minutes?

[tex]4.5\ km[/tex]

Step-by-step explanation:

If we know:

[tex]\frac{54\ km}{1\ hour}[/tex]

And there are 60 minutes in an hour:

[tex]\frac{1\ hour}{60\ minutes}[/tex]

We can do:

[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]

From here, we figure out the distance from minutes:

[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]

Geometry math work help pls

Answers

Answer:

Step-by-step explanation:

Remark

If you sweep all the way around the circle starting at 13,0, you go through 360 degrees.  

The formula for that event: Circumference = 2*pi * r

If you stop after sweeping out 135 degrees, then you need to multiply by a fraction.

Formula and givens

Arc RST = (135/360) * 2 * pi * r

pi = 3.14

r = 13

Solution

Arc RST = .375 * 2 * 3.14 * 13

Answer = 30.615

Answer the question below

Answers

Answer:

v=k+5

Kora is 13 yrs old when Venla is 18 yrs old

HELP ME PLEASEEEEEEEEEEEEEEEEEEEE

Answers

Ooo substitution! I love this!

To solve this, we will substitute for y:

4/9x - 3 = -7/5x - 3

Jk. I’ll give you the answer to save time. The answer is x = 0.

which question is a statistical question

1. who is your teacher?
2. what is your favorite movie?
3. What is the age of each child currently at the zoo?
4. How many pages are in the book you are reading?
5.How many pairs of shoes do students in your school have?

please answer asap

Answers

Answer:

5

Step-by-step explanation:

Cause you can actually get multiple different answeres which you can make a statistical question on

If Joanne can swim 4 km in 45 min, what is her rate of change?

Answers

Answer:

45:4 or 4:45

Step-by-step explanation:

Depends on which

a sphere has a volume of 179.6 cubic cm which value is closest to the radius of this sphere in cm​

Answers

The volume of the sphere is the amount of space in it, and the value closest to the radius is 3.5 cm

How to determine the radius of the sphere?

The volume is given as:

V = 179.6

The volume is calculated using:

V = 4/3πr³

So, we have:

4/3πr³ = 179.6

Multiply both sides by 3/4

πr³ = 134/7

Divide both sides by π

r³ = 42.88

Take the cube root of both sides

r = 3.5

Hence, the value closest to the radius is 3.5 cm

Read more about sphere at:

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Look at this diagram:
a)
What fraction is shaded?
b)
What percentage is shaded?

Answers

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A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results:

Answers

The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors

How to determine the appropriate null hypothesis?

The distribution of the gum flavors is given as:

Peppermint = 25Cinnamon = 19Wintergreen = 22Spearmint = 14

The sample size is given as:

Sample = 80

From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven

This means that we can use the following statement as the null hypothesis:

Flavor preferences are evenly distributed across all flavors

Hence, the appropriate null hypothesis is (b)

Read more about test of hypothesis at:

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Which word describes 5 in the number sentence shown?

5x−2=18
Term
Coefficient
Variable
Equation

Answers

Answer:

Coefficient

Step-by-step explanation:

5 is the Coefficient for x

Describe how to translate the graph of y=√x to obtain the graph of y=√x+2
A.shift right 2 units

B.shift left 2 units

C.shift up 2 units

D.shift down 2 units

Answers

Answer:

D

Step-by-step explanation:

Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form 125,25,5

Answers

series: 125, 25, 5, ...

We can identify geometric series by:

√first term x third term = second term

√125 x 5 = 25

Hence this is a geometric series.

Common difference:

25 ÷ 5      or     125 ÷ 25

5                            5

The common difference is equal to 5.

A factory makes circular rugs with a radius of 3.5 feet. How much braid do they need to go all the way around the outside of the rug? Use 3.14 for pi

Answers

I believe that the answer is 21.48

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

We have,

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:

C = 2 × 3.14 × 3.5 = 21.98 feet

Therefore,

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

Learn more about circumference of a circle here:

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A tree of 14 m height is broken by the wind so that its top
touches the ground and makes an angle 60° with the ground. Find
the length of the broken part of the tree.

Answers

Answer:

The answer is:

[tex](56 - 28 \sqrt{3} )m[/tex]

Step-by-step explanation:

Let the broken part is (x) m

so other part is (14-x) m

[tex] \sin(60) = \frac{14 - x}{x} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex] = x = (56 - 28 \sqrt{3} )m[/tex]

TEN POINTS
Select the correct answer.
Solve the following quadratic equation.
(x+4)^2=25

A. x=9 and x=-1

B. x=-9 and x=-1

C. x=-9 and x=1

D. x=9 and x=1

Answers

Answer:

hi I need actually a lot of help with Matt since I'm not the best?

Can anyone help me? me please

Answers

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

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