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

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.

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.  

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

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

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:

Angle ABD is 90 what is the measure of ABC

Answers

Answer:

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

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

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.

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

Answers

The anwser is -4c + 2d

Answer:

3c-5d

Step-by-step explanation:

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

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

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:

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

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

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]

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.

What expression is equivalent to: 100​

Answers

Answer:

10 x 10, 2 x 50

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:

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

Solve the equation using the Properties of Equality.

Answers

M = 11/24 (hope this helps)

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].

Write 3.19×10−2 in standard form.

Answers

Answer:

It is already in standard form

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

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:

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 :)

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

Answers

2 inches squared I think

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.

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

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

Answers

Step-by-step explanation:

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