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

Help Asap 39 points pic below

Answers

The answer is B! Hopefully this helps a lot ......GOOD LUCK

I don’t understand help PLZZZ

Answers

OMGGGGG I CANT FIGURE UT OUT EITHER WE BOTH SHOUKD GET HELP

PLZ HELP U GET POINTS AND I WILL GIVE YOU BRAINLIEST

Answers

13/5 is the smaller number

Answer: A) 13/5

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.  13/5

13/5 = 2.6

write [tex]2\frac{2}{3}[/tex] as a fraction

[tex]2\frac{2}{3}[/tex] = 8/3

Convert the fraction to a decimal by dividing the numerator by the denominator. 8/3

2.66666666667

13/5 < [tex]2\frac{2}{3}[/tex]

The left side2.6  is less than the right side 2.66666666667, which means that the given statement is true.

5,000 people visited a bookfair in the first week. The numbers increased by 10% in the second week. how many people visited the book fair the second week?
please show your work and explain

Answers

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

!!Pleas help me!! ASAP!! I will give you BRAINLYEST!!

A 25 - cent coin has a circumference of about 76 milimeters. Which
statement about the coin is true?

A. The diameter is 2 times the cricumference
B. The ratio of the circumference to the diameter is about 3.14
C. The diameter is about 3.14(76) milimeters
D. The diameter divided by the circumference is about 3.14

Make sure to explain your reasoning.

!!pls help me!! :(

Answers

Answer:

Step-by-step explanation:

the circumference is

C=2*r*3.14=3.14*d

the below choices are the only ones that are valid

c/3.14=d

C/d=3.14

the answer B

Does anybody know the answer to this question?

Answers

Answer:

A.

Step-by-step explanation:

A. Because the slope must be positive and cross the y axis at y = 2

Ulio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race. What is the distance between the last water stop and the end of the race? Enter your answer in the box.

Answers

Answer:

2.1 miles

Step-by-step explanation:

Given that :

Total distance = 13.1 miles

Distance between each water stop = 2.75 miles

Distance between last water stop and end of the race

We need to find the maximum number of water stops :

Total miles / distance between water stops

13.1 / 2.75

= 4.763

Maximum number of water stops = 4

Distance to last water stop = 4 * 2.75 = 11 miles

Hence, distance between last water stop and end of Race :

Total miles - distance to last water stop

13.1 miles - 11 miles

= 2.1 miles

Points out of
9.00
The cost of manufactured goods is rising at the rate of inflation, or at about 2.3%. Suppose an item costs $12 today. How much will it cost five years
from now due to inflation? Round the answer to the hundredth

Answers

Ima go ask my dad ok wait here

Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.

Answers

Answer

Martin has 50 indie CDs and 70 dance CDs

Step-by-step explanation:

5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs

Two sides of a triangle can be represented by the expressions 3x+8 and 2x2-4x+5.If the perimeter of the triangle is 4x2+2x-10, what expression can be used to represent the third side?

Answers

Answer:

s = 2x²+3x-23

Step-by-step explanation:

Given that,

First side of a triangle = 3x+8

Second side of a triangle = 2x²-4x+5

The perimeter of the triangle = 4x²+2x-10

We need to find the expression for the third side. Let the third side b s.

Perimeter = Sum of all sides

4x²+2x-10 = 3x+8 + 2x²-4x+5 +s

4x²+2x-10 = 2x²-x+13+s

s = 4x²+2x-10- (2x²-x+13)

= 2x²+3x-23

So, the third side will be 2x²+3x-23.

Call the actor spam her she blocked me 3053035819 call her name lauren.

Answers

Answer:

so, its 2.34 to the square root of 163

Step-by-step explanation:

you need to find the angle congruent to side 'actor'

times that by your credit card and divide by lauren

hope i get brainliest!!

1.) At a restaurant, your bill has a food total of $33.50. Find the amount of a 16% tip on the food total.

I will give brainlist

Answers

$5.36 hope this helps

Alex constructs a scatter plot. He realizes that he needs to add one more point, which will be an outlier. Which of the ordered pairs does he still need to plot? (14,2) (2,12) (18,10) (10,6)

Answers

Answer:

(14,2)

Step-by-step explanation:

Have took the test

(14,2) is an outlier of the constructed scatter plot.

What is scatter plot?

A scatter plot is a set of points plotted on a horizontal and vertical axes. Scatter plots are important in statistics because they can show the extent of correlation, if any, between the values of observed quantities or phenomena (called variables).

Given that, Alex constructs a scatter plot. He realizes that he needs to add one more point,

As we know If one point of a scatter plot is farther from the regression line than some other point, then the scatter plot has at least one outlier. If a number of points are the same farthest distance from the regression line, then all these points are outliers.

Here, When we will plot each of the points, and we will find that (14, 2) is the furthest away from the scatter

Hence, (14,2) is an outlier of the constructed scatter plot.

Learn more about scatter plot, click;

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Help me out please an thank you

Answers

it should be 54 if u want me to explain how lmk :))

What is the surface area of the right cone below?

Answers

Answer:

54 is anwer.

please mark me brainliest and follow me my friend.

because 54 is correct answer.

The value of surface area of the right cone is,

⇒ 54π units²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of cone = 3 units

Slant height = 15 units

Now, The formula for the total surface area of a right cone is,

T. S. A = πrl + πr²

Hence, We get;

The value of surface area of the right cone is,

⇒ π x 3 x 15 + π x 3²

⇒ 45π + 9π

⇒ 54π units²

Thus, The value of surface area of the right cone is,

⇒ 54π units²

Learn more about the multiplication visit:

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At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought. Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year?

Answers

Answer:

System of Equations is given as:

c = 2h - 1...... Equation 1

1.8c + 3h = 288.60....Equation 2

Step-by-step explanation:

Let us represent

The number of Cold lunch = c

The number of Hot lunch = h

The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.

Hence:

c = 2h - 1

At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.

Hence:

$1.80 × c + $3.00 × h = $288.60

1.8c + 3h = 288.60....Equation 2

The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:

c = 2h - 1...... Equation 1

1.8c + 3h = 288.60....Equation 2

The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]

Let h represents hot lunch, and c represents cold lunch.

So, we have:

[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]

[tex]\mathbf{c = 2h - 1}[/tex]

Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]

[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]

Expand

[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]

Collect like terms

[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]

[tex]\mathbf{6.60h = 290.4}[/tex]

Divide both sides by 6.60

[tex]\mathbf{h = 44}[/tex]

Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]

[tex]\mathbf{c = 2(44) - 1}[/tex]

[tex]\mathbf{c = 83}[/tex]

Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]

Read more about simultaneous equations at:

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When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.

Answers

Answer:

force of gravity on the ball

Step-by-step explanation:

when you throw something up it will come down

5x - Зу = -7
— 2x – 3y = 19
WHICH method would be best to solve these ? Elimination, Graphing, Substitution, or none of these

Answers

Answer:

I think elimination method will the the beat and easiest method we can use in that question,

Find y
Round to the nearest tenth:
х
27°
350 ft

Answers

Answer:

178.3ft

Step-by-step explanation:

still using the same formula

can somelne help me ​

Answers

Answer:

2

Step-by-step explanation:

Answer:

9×(10-5)-31)÷7

9×5-31÷7

45-31÷7

14÷7

2

Which expression is equivalent to
(5^-2)(5^-1)?

Answers

Answer:

5^-2.5^-1

5^-2-1

5^-3

1/125

x-13<-5 solve the inequality and graph the solution

Answers

Answer: x<8

Step-by-step explanation: x−13+13<−5+13

PLS HELP!

Match each division expression to its quotient.

Answers

D equals to 2
B equals to 3
A equals to -2
C equals to -3

Answer:

3 3/7 divided by 1 1/7 = 3

16/(-8) =  -2

2 2/5 divided by 4/5 = -3

-12.2/(-6.1) = 2

Step-by-step explanation:

Turn the mixed numbers into improper fractions and work from there. Then, make sure to find the reciprocal of the second fraction/number. For example,

3 3/7 = 24/7

1 1/7 = 8/7

24/7 (7/8) = 3

Hope this helped, but if you need more help then make sure to communicate with your teacher. This will help you out in the future.

A seahorse can swim at a rate of 48 feet per hour. Convert this speed to inches
per minute.

Answers

Answer:

The Seahorse moves at 576 inches per minute

Step-by-step explanation:

if the seahorse moves at 48 feet per hour, all you would do is multiple the 48 feet with 12 inches to convert from feet to inches. So the answer is 576 inches per minute.

Answer:

2.43

Step-by-step explanation:

because thats the rogbt answer ofr me

write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1) ​

Answers

Answer:

Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias

Answer:

[tex]-2x+y=-3[/tex]

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation [tex]2y+x=4[/tex] has a slope of [tex]-\frac{1}{2}[/tex] ([tex]y=-\frac{1}{2}x+2[/tex]), any line perpendicular to it will have a slope of [tex]-\frac{1}{-\frac{1}{2}}=2[/tex].

Therefore, we have the line:

[tex]y=2x+b[/tex] where [tex]b[/tex] is the y-intercept.

We can plug in the point it passes through to find the final equation:

[tex]1=2(2)+b,\\b=1-4,\\b=-3[/tex].

Therefore, the equation of the line perpendicular to  [tex]2y+x=4[/tex] that passes through the point [tex](2, 1)[/tex] is:

[tex]y=2x-3[/tex] (slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

[tex]y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}[/tex].

You have five red blocks, three yellow blocks and 2 green blocks in a paper bag. What is the probability that you reach in the bag and pick out a yellow block, put it aside and then reach in a pick out a green block?

Answers

Answer:

1/15

Step-by-step explanation:

10 blocks altogether

P(Y,G) = 3/10 x 2/9

Answer:1/15

Step-by-step explanation:

can you help stuck on this question for a while ​

Answers

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

what does mujer culona

mean

Answers

That meant that a woman has a very big behind.

What is 0^-4? What is 0^0? Please help me.

Answers

Answer:

A. Infity and B. is 1

Step-by-step explanation:

m + 7 ≥ 20, if m = 11

Answers

Answer:

False;18 ≥ 20

Step-by-step explanation:

Add  11  and 7

The left side  18  is less than the right side  20 , which means that the given statement is false.

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