H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

Answers

Answer 1

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.


Related Questions

Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?

Answers

Answer:

298

Step-by-step explanation:

given data

total friend = 4

total profit in the first month = 438

two months each friend profit = 184

solution

we consider here total profit second month is = x

so

profit second month = 184 × 4 - 438

x = 736 - 438

x = 298

so that here profit that car wash making the second month is 298

Does anyone know how to work this out

Answers

let x represent yellow cubes

blue cubes = 3x

green cubes = 15x

to make this simpler let's just say x = 1

so 1 yellow cube 3 blue cubes and 15 green cubes

so there are 19 cubes in total

1 of them are yellow

so she has a 1/19 chance of picking a yellow cube

Answer:

1/19

Step-by-step explanation:

y = number of yellow cubes

3y = number of blue cubes

5(3y) = number of green cubes

total number of cubes = 19

P(yellow) = 1/19

It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?

Answers

Answer:

The correct answer is 11/2.

Answer:2 hours and 30 minutes

Step-by-step explanation:

they drive 60 miles in a hour.

HELP ASAP

1.Which number or symbol is a variable in the following algebraic expression?



5 + 4y x 32



a 5

b 4

c y

d 2

2.Convert the following word phrase to an algebraic expression:

9 less than a number.



a x - 9

b 9 -x

c 9 ÷ x


d x ÷ 9

Answers

Answer: 1.C 2.B

Step-by-step explanation:

Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?

Answers

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles

what is the formula to calculate velocity?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

here is a picture.

I hope this helps.

The answer above should be correct , I believe it is . But can you please mark me BRAINLEST?

WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN

Answers

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

Question 2
5x + 2y = 4
9x + 2y = 12

Answers

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

solve the inequality -2z-3<5. what is the value of z?

Answers

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

Which expression is equivalent?

Answers

The equivalent expression is b)
The second one

CAN SOMEONE PLEASE HELP ME???!!!

Answers

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

Help please!!!!!!!!!

Answers

Answer:

440 square inches

Step-by-step explanation:

5 x 8 x 11 = 440

440 Square inches I’m positive

Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water

Answers

Is the question to figure out how many boxes of juice and water he’ll get?

Does anyone know the answer to these?? Please answer quickly and please don’t joke around .

Answers

they are already simplified what is the question

Use exponents to write each expression.
6 x 6 x 6 =

Answers

Answer:

6×6×6 = 6³

Step-by-step explanation:

Answer:

6 x 6 x 6 = 216 I believe that's right

How many groups of 1/4 are in 3?”

Answers

Answer: 12

Step-by-step explanation:

there are 12 because

1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00

If you do this three times, It will have an end result of twelve

hope this helps!!

1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT

Answers

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

Work needs to be shown please someone help and don’t answer for your benefit with no intention to help

Answers

Answer:

[tex]\frac{x+3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex]           Factor the expressions that are not already factored.

=

[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex]           Cancel out x+7 in both numerator and denominator.

=

[tex]\frac{x+3}{x+2}[/tex]

Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6

Answers

Answer:y=12

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

i hope it was helpful

what is the answer to −9p − 6 = −141

Answers

Answer:

p = 15  

Hope this helps

Step-by-step explanation:

p=15 is what i got, good luck!!

Factor the quadratic expression completely.

Answers

i got -(3x - 5)(x - 4)

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2

Write a parallel lines and perpendicular lines in the given figure .​

Answers

Answer:

parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b

Step-by-step explanation:

Parallel lines are lines that can go on and on forever, and never meet !

Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !

ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC

Answers

Answer:

BEC°

Step-by-step explanation:

complementary means "to add up to 90°"

90° - 34° = 56°

the Z confused me for a bit, then figured out you tried to type in the angle sign.


Select the correct answer.
In which table does y vary directly with x?

Answers

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive

Answers

Answer:

U didn't say how many miles Rita drove.

Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?

Answers

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4

a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

The probability that it will land on 1 at any time is 1/6

So for the first time we have 1/6

For the second time, we have 1/6

For the both times, we have

1/6 * 1/6 = 1/36

Write the equation of a line parallel to the line y = 2x that passes through 0,4

Answers

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

pls helppppppppppp



Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?

Answers

Answer:

okkk

Step-by-step explanation:

Answer:

I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!

Step-by-step explanation:

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