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

Figure B is a scaled copy of Figure A. Select all of the statements that must be true:

Figure B is larger than Figure A.

Figure B has the same number of edges as Figure A.

Figure B has the same perimeter as Figure A.

Figure B has the same number of angles as Figure A.

Figure B has angles with the same measures as Figure A.

Item at position 2
ANSWER QUICKLY PLEASE

Answers

Answer:

Same number of edges

Same number of angles

Angles woth same measures

Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32

Answers

x2+12x+32

Factor out 2 from the expression

2(x+6x+16)

Collect like terms

2(7x+16)

Now we do the same thing only different way ok

x+6x

If a term doesn't have a coefficient , it is considered that the coefficient is 1

1x+6x

Collect like terms by adding their coefficients

(1+6)x

Add the numbers

7x

1+6=7

To add the numbers using a number line, start from zero.

Since 1 is positive, move the point 1 unit to the right.

Since 6 is positive, move the point 6 units to the right

The result is 7

Answer : 2(7x+16)

That's it . Hope it  wasn't too hard to understand?

Please give me as brainliest

what is the slope of the line that goes through the points (2,-1) and (6,1)

Answers

Answer: The slope is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].

2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].

3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].

4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].

what is negative 1 and 4/5 as a decimal ​

Answers

Answer:

1.08

Step-by-step explanation:

Answer:

9/5 or -1.8 or  -1 4/5

Step-by-step explanation:

Question
Identify the correct graph and solution for the inequality.
10 a <25
(Look at pic)

Answers

i think it is C
explanation:

Answer:

First option

Step-by-step explanation:

First, Solve the inequality:

Divide each side by 10 to cancel out the 10 next to a. It should now look like this: a < 2.5

Find the inequality that matches the solution:

The first option (which literally writes the simplified version of the inequality) is correct, because it matches our simplified inequality above.  

what is the constant of proportionality of p=5a

Answers

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase

Answers

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

what is 1/2- 1 and 1/5​

Answers

Answer:

-0.7 is the answer to your question

Answer:

Answer:

-0.7 is the answer to your question

Step-by-step explanation:

One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)

Answers

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let X = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

[tex]E(X)=\sum X\cdot P(X)[/tex]

        [tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]

Thus, the player's expectation is a loss of 20 cents.

What is an equation of the line that passes through the points (-2,-5) and (4,7)

Answers

-2+5=4+7 FINALLY ANSWER

Answer:

y=2x-1

Step-by-step explanation:

the other person is wrong

The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.

Answers

whats the question you only stated the problem

Answer:Not exactly sure what the question is but...

Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.

Hope this helps

17.546 rounded to the nearest hundred

Answers

Answer:

17.55

Step-by-step explanation:

tenths are 1 to the right of the decimal hundredths are 2 places right of the decimal and thousands are 3 times right of the decimal

17.546 rounded to the hundredths is 2 times to the right and there is a 5 that rounds it up to 17.55

Answer:

17.55

Step-by-step explanation:

Hundredth .05-0.09 is 0.1 but 0.04 and lower is 0

w over 5 = 3
w = ?
needs sum help​

Answers

Answer:

w=15

Step-by-step explanation:

Solve for  w  by simplifying both sides of the equation, then isolating the variable.

-c + 5d + 7c - 11d + d - 3c

Answers

The anwser is -4c + 2d

Answer:

3c-5d

Step-by-step explanation:

Amanda owns 9 T-shirts, 4 of which are white. If Amanda randomly selects a T-shirt to wear, what is the probability it will be white? Write your answer as a fraction or whole number.

P(white) =

Answers

Step-by-step explanation:

P(white)=4/9 is the probability

Solve the equation using the Properties of Equality.

Answers

M = 11/24 (hope this helps)

find the exact values of the following, giving your answers as fractions.

Giving brainliest to the first person to get all right :)

Answers

Answer:

Step-by-step explanation:

The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.

[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

Do that for the next 2:

[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]

and

[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]

Angle ABD is 90 what is the measure of ABC

Answers

Answer:

90 I am guessing. if it's like a square or rectangle

An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?​

Answers

Answer:

Mass of bread crumb is 20 times the mass of the ant..

Step-by-step explanation:

Mass of an ant = [tex]4\times 10^{-6}[/tex] kg

Ant carries a weight of bread crumb to its anthill.

Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg

Ratio of their masses,

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]

Mass of the bread crumb = 20×(Mass of the ant)

Therefore, mass of the bread crumb is 20 times the mass of the ant.

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.

What expression is equivalent to: 100​

Answers

Answer:

10 x 10, 2 x 50

Step-by-step explanation:

Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number

Answers

Question:

Which description could be written as a linear function?

Answer:

Option a)

Explanation:

Let 2 numbers be x1 and x2.

For the first option:

Eight more than twice a number.

The graph would be y = 8 + 2x1 which is a linear function.

For the second option:

Three more than the product of two numbers.

The graph would be y = 3 + x1x2 which is a graph function.

For the third option:

Ten more than the square of a number.

The graph would be y = 9 + (x1)² which is a graph function.

For the fourth option:

Nine more than one divided by a number.

The graph would be y = 9 + 1/x1 which is a double-parabole function.

Hopefully this answer will help you.

Answer: option a

Step-by-step explanation:

Just took the test

Can someone help with this?

Answers

Answer:

B

Step-by-step explanation:

Because it has to be less than or no more than $100

Answer:

8=D

Step-by-step explanation:

HELPP ASAP!! PLS BE SURE THAT THE ANSWER IS CORRECT

Answers

2 inches squared I think

Find the y-intercept of the equation y = -0.5x - 3

Answers

Answer: -3

Step-by-step explanation: When you graph this that’s what you get

Answer:

-3

Step-by-step explanation:

the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:

y = -0.5x0 -3

Now you can ignore that first part of the equation because it equates to 0, and so you get:

y= 0 - 3

which equals:

y=-3

a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement

Answers

Answer:

True

Step-by-step explanation:

Given the expression

y = 19.75x

let us see the solution from this angle

we know that

speed=distance/time

distance=speed*time

i.e quantity=rate*time

y = 19.75x

y=the quantity =number of gallons

19.5= the rate of flow

therefore

x= the time in  minutes

What is the sales tax on a chair with a price tag of $180, if the tax rate is 5.75%?

Answers

Answer:

$190.35

Step-by-step explanation:

180 ⋅ 0.0575 = 10.35

Add 180 to 10.35

$190.35

(I could be wrong. Sorry if I am)

Hope I helped :)

Please consider Brainliest :)

Write 3.19×10−2 in standard form.

Answers

Answer:

It is already in standard form

x+7<13.
^^^^^ answer please & show work .

Answers

Step-by-step explanation:

5. Ameris rolls a standard number cube with the numbers 1-6. What is the probability of
rolling a 6 or a 2?
a. 16
b. 13
C.
d. 5%

Answers

Answer: its 2/6 is the answer the choices don't make cense

Step-by-step explanation:

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