If p varies directly as
the cube of q, and p =
26 when q = 2, find p
when q = 5

Answers

Answer 1

Answer:

The value of p at q = 5 is 406.25

Step-by-step explanation:

p varies directly as the cube of q

→ That means p ∝ q³

The equation of variation is p = kq³, where k is the constant of variation

∵ p = 26 when q = 2

→ Use them to find the value of k

∵ 26 = k(2)³

∴ 26 = k(8)

∴ 26 = 8k

→ Divide both sides by 8

∴ [tex]\frac{26}{8}=\frac{k}{8}[/tex]

3.25 = k

→ Substitute it in the equation of variation

p = 3.25 q³ ⇒ equation of variation

q = 5

→ Substitute it in the equation of variation to find p

∴ p = 3.25 (5)³

p = 406.25

The value of p at q = 5 is 406.25


Related Questions

3(6+4y)
hurry uppp pleaseeeee

Answers

Answer:

=12y+18

Step-by-step explanation:

=(3)(6+4y)

=(3)(6)+(3)(4y)

=18+12y

=12y+18

Answer: its actully 18+12y

Step-by-step explanation:

I totally need help, (I just wanna see who will join)
It works :)
kte-diym-hvy

Answers

Answer:

I’m joining rn does it still work?

Step-by-step explanation:

A farmer has 180 bushels of wheat to sell at her roadside stand. She sells an average of
15. bushels each day. Represent the total change in the number of bushels she has for sale after
8
7 days.
The total change in the number of bushels she has for sale is
(Type an integer, proper fraction, or mixed number.)

Answers

After 7 days of sailing 15 bushels a day she will need to sell 75 more bushels which will take 5 more day

Answer:

Step-by-step explanation:

Elope

1. James wants to buy snacks for his friends for a movie. The cost of one box of popcorn
is $3 and the cost of one soda is $2 but James only has $15 to spend. Write and
equation to represent this situation. Remember to define the variables!
2. If James buys 3 boxes of popcorn how many sodas can he buy?

Answers

Answer:

1.) 15-3-2=x

2.) He can buy 3 sodas

Step-by-step explanation:

1.) 15 is how much he has, -3 is the price of the popcorn, -2is the price of the soda. =x is what needs to be solved in the equation (its 10 if you need the answer)

2.) He can buy 3 sodas because 3 boxes of popcorn is $9 since one box is $3,  he has $15 you take away $9 and you are left with $6 and 6 divided by 2 is 3.

I really need the answer to this plzzzzzz

Answers

Answer:

it may be c but im not usre

Step-by-step explanation:

Who was Monroe? was he one of our presidents?

Answers

Answer:

James Monroe (/mənˈroʊ/; April 28, 1758 – July 4, 1831) was an American statesman, lawyer, diplomat and Founding Father who served as the fifth president of the United States from 1817 to 1825. ... He is perhaps best known for issuing the Monroe Doctrine, a policy of opposing European colonialism in the Americas.

Step-by-step explanation:

Answer:

James Monroe was the 5th president of the United States. He was born April 28, 1758 in Westmoreland County, Virginia. He was chosen as a Virginia representative to the Congress of the Confederation in 1782. In 1808, he ran for president against Madison, but lost. He ran for president in 1816 as a Democratic-Republican and won. He was sworn into office on March 4, 1817. In 1825, Monroe left office and retired in Virginia. He died on July 4, 1831

Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
Email
The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.

Answers

Answer:

4+12+20=j

3+9+15=m

j(answer) + m(answer)

Step-by-step explanation:

Enter the mixed number as an improper fraction.

2
2
5
=

Answers

Answer:

12/5

Step-by-step explanation:

2 2/5 is equal to 12/5 because...

1 2/5 = 7/5

2 2/5 = 12/5

You add five to the numerator for each 1 you get in the mixed number.

Hope this helps! <3

Add the two numbers. Express your answer in scientific notation.

Answers

Answer:

theres nothing? :/

Step-by-step explanation:

Where is the problem?

The total cost, C, to attend a swim meet for a swimmer competing in x events can be modeled using a linear function. Each swimmer will pay a $3.00 entry fee for each event and $8.00 for lunch. Each swimmer may sign up for a maximum of 5 events. What is the range of the function for this situation?

Answers

Answer:

The range is between $11 to $23

Step-by-step explanation:

let the total cost be c

let the number of events be x

the linear model is

c=3x+8

therefore for 1 event

c=3(1)+8

c=3+8

c=11

=$11

therefore for 5 events

c=3(5)+8

c=15+8

c=23

=$23

The range is between $11 to $23


Joshua plans to buy x pencils and one notebook at the schoolstore. A pencil costs $0.10 and a notebook costs $1.25. Joshua
has $7.00
Iln

Answers

X=57
Hope this helps :)

Jason had one hundred fifty-nine dollars to spend six books.After buying them he had fifteen dollars.How much did each book cost.

Answers

Answer:

11.5

Step-by-step explanation:

Divide: 159:6-15

Calculate: 26.5-15

\\11.5//

Answer:

24.8333 with 3 repeating.

Step-by-step explanation:

Lets make an equation for this.

159 - x = 15

X is what we are loooking for so lets isolate it.

Subtract 159 on both sides.

-x = -149

Since both are negative we need to simply cross it out.

x = 149

Now he bought six books, so divide 149 by 6.

You would get 24.8333 with the 3 repeating.

choose 3 decimals that are greater than 1⁄2, but less than 1

Answers

Answer:

0.6 ; 0.7 ; 0.8

Step-by-step explanation:

Change all numbers given to decimals:

1/2 = 0.5

1 = 1.0

Any number that fits x in 0.5 < x < 1.0 is your answer.

Answer choices:

0.6

0.7

0.8

etc.

~

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

1/2 is 0.5 in decimal form. So, decimals that are greater than 0.5 but less than 1 are:

0.6, 0.7, 0.8, and 0.9 etc.

Which shows one way to use
breaking apart to find 6 x 47?
A (1 x 47) - (1 X 6)
B (6 X 4) + (6 X 7)
C (6 X 40) - (1 x 7)
D (6 X 40) + (6 X 7)

Answers

The answer is D
6*40=240
6*7=42
240+42= 292

WILL GIVE YOU BRAINLIST
Rafe's kiddie pool is shaped like a square with an area of 220ft^2 . What is the approximate side length of the pool? (Between which two whole numbers does it fall?)

Answers

Answer:

a≈14.83ft

Step-by-step explanation:

Rafe’s kiddie pool has a square with an area of 220ft to the power of two. With this equation, all we need to do is find the square root. After finding the square root, we get a≈ 14.83ft

Solve the inequality.−8≤2/5(k−2)

The / is not a division sign.

Answers

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

Solve for h in the proportion.

Answers

Answer:

68

Step-by-step explanation:

Step 1:

h/85 = 64/80      Equation

Step 2:

80h = 5440     Multiply

Step 3:

h = 5440 ÷ 80      Divide

Answer:

h = 68

Hope Ths Helps :)

What value of p makes the equation true?
-3p + 1/8 = -1/4

Answers

Answer:

p = 1/8

Step-by-step explanation:

Hi there !

⁸⁾-3p + 1/8 = ²⁾- 1/4

- 24p + 1 = - 2

- 24p = - 2 - 1

- 24p = - 3 | (-)

24p = 3

p = 3⁽³/24

p = 1/8

Good luck !

What is the midpoint of coordinates (-3,5 and 2,-7)

Answers

Answer:

-8.5

Step-by-step explanation:

Write the equation of the line fully simplified slope-intercept form.I need help with this so someone please answer this .

Answers

Answer:

y= -x+6

Step-by-step explanation:

The equation format for slope-intercept form is y=mx+c, where m is the slope of the line and c is the y-intercept.

To find the slope, we need to pick two definite points and find the slope from that. The formula to find the slope is 'rise/run'. Rise is the difference between the y-values of the two points, and the run is the difference between the x-values of the two points.

Let's use the points (0,6) and (1,5).

The rise is -1 (5-6=-1) and the run is also 1 (1-0=1). This means that the slope is -1 (-1/1=-1). The slope is negative because the line is 'going downwards'.

So our equation so far is:

y=-x+c

The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.

So our final equation for the line is y= -x+6.

Hope this helped!

You buy a 36-ounce can of tomatoes. How many pints is that?

Answers

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

Factorise x^2-10
I need help

Answers

Answer:

This expression is not factorable with rational numbers.

Which set of values is a function?

a.
(6,-5) (7, -3) (8, -1) (9, 1)

b.
(9,5) (10,5) (9,-5) (10,-5)

c.
(3,4) (4,-3) (7,4) (3, 8)

d.
(2, -2) (5, 9) (5, -7) (1, 4)

Answers

I am pretty sure it’s A

Answer:

Its A

Step-by-step explanation:

Had it on quizziz

I NEED HELP NOW 50 POINTS

Answers

Answer:

x1:0 , x2 : 1

Step-by-step explanation:

Answer:

A c is 1 and equation B d is  1

A line that is used to represent the linear trend in the data is called the line of best fit. When finding the error of the line of best fit, which statement holds true? a. If the error is less than one, the line of best fit is the linear equation of the data. b. The smaller the error, the better the fit. c. If the error is greater than one, there is no correlation to the line of best fit. d. The larger the error, the better the fit. Please select the best answer from the choices provided A B C D

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i just took the quiz

Can someone please help me this question. It’s due today I will appreciate it .

Answers

49
You have a line on the right crossed by two other lines the line means 180 degree up degree is 131 which means the other line has same degree
So now u need outer angle so 180-131=49

Can someone please help me .

Answers

Answer:

Distance = speed x time.

Step-by-step explanation:

Hope I helped

17 × 45 how to solve it

Answers

Answer:

765

Step-by-step explanation:

   3

   17    Multiply 7x5 and 1x5 first. 7x5=35, so we move the 3 above 1 and

x 45    add it to the product of 1x5. 1x5=5+3=8

  85   Before we multiply 7x4 and 1x4, put a zero in the ones place.  

+680  7x4=28, so we move the 2 above 1 and add it to the product of 1x4.  

 765   1x4=4+2=6 Add the products, and 765 is the answer!!

Hope this helps...have a great day C:

What causes deflation?


A. People have less income.


B. There's more money around, but it's worth less and the prices rise.


C. There's less money in circulation; there are plenty of goods but no demand and prices drop.


D. The value of a dollar does not change.



PLEASE HELP!!!! ASAP!

Answers

Answer:

The answere is C. There's less money in circulation; there are plenty of goods but no demand and prices drop.

Step-by-step explanation:

Answer: There's less money in circulation; there are plenty of goods but no demand and prices drop.

Step-by-step explanation: took the quiz

2.
Kristen invests $5,000 in a bank. The bank pays 6% interest
compounded quarterly. Find, to the nearest cent, the balance
in the account after 5 years. To the nearest year, how long
must she leave the money in the bank for it to double?

Answers

Answer:

1. ) $6,734.30

2) 12 years

Step-by-step explanation:

1. we use the compound interest formula for this

Mathematically;

A = P( 1 + r/n)^nt

where P is the principal which is the amount deposited = $5,000

r = rate = 6% = 6/100 = 0.06

n = number of time per year we compound = 4 since it is quarterly

t = number of years = 5

Substituting all of these, we have;

A = 5,000( 1 + 0.06/4)^(4)(5)

A = 5,000( 1 + 0.015)^20

A = 5,000(1.015)^20

A = $6,734.28 which to the nearest cent = $6,734.30

2) For the money to double means that A becomes 2P

Thus;

2P = P( 1 + 0.015)^4t

divide both sides by P

2 = (1.015)^4t

Fine the ln of both sides

ln 2 = 4t ln 1.015

divide both sides by ln 1.015

4t = ln 2/ ln 1.015

4t = 46.56

t = 46.56/4

t = 11.63 which is approximately 12 years

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