A candle burned at a steady rate. After 33 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it was 10.75 inches tall. Use an equation in point-slope form to determine the height of the candle after 2 hours. Round the answer to the tenth place if necessary

Answers

Answer 1

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

[tex]L = mt+L_0[/tex]

Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]

[tex]m[/tex] is the rate at which the candle is burning.

And [tex]L_0[/tex] is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]

Subtracting (1) from (2):

[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]

Putting the value of [tex]m[/tex] in the equation (1):

[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]

Therefore, the equation becomes:

[tex]L = -0.025t + 12.025[/tex]

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]

Therefore, the height of candle is 9.025 inches.


Related Questions

5. Let's factorize the following numbers and express in exponential form
16

Answers

Answer:

2^4

Step-by-step explanation:

16 = 2x2x2x2 = 2 to the power of 4

Answer:

2^4

Step-by-step explanation:

Hope this helped have an amazing day!

g(x)=−4x+5, find g(5)g(5).

Answers

Answer:

— g(5)=18

Step-by-step explanation:

x=5 into g(x). g(5)=(4×5)−2=20−2=18.

Traduisez l’énoncé suivant en utilisant le symbole d’inégalité approprié.

1) x dépasse 8 ? : _____

Answers

Answer:

Je ne parle pas francais

Step-by-step explanation:

Pardon

pushing a car 15 m using a force of 500 N. How much work was done?

Answers

Answer:

Work = Force × distance = 500 × 15 = 7,500 J.

Hope this helps! Merry Christmas and Happy New Year!

Total work done by pushing the car for a distance of 15 m using a force of 500 N is 7500 Joule.

What is total work done?

The total work done can be derived in terms of the products of force applied and the total distance covered.

Therefore,

Total work done = force × distance = 500 × 15 N-m = 7500 Joule

Hence, 7500 Joule work is done.

Learn more about work done here: https://brainly.com/question/26622905

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Last year, 400 signed up to take a virtual kickboxing class. This year, there was a 5% increase in registrations. How many people will take virtual kickboxing this year

Answers

Answer:

420 people

Step-by-step explanation:

400*1.05=420

The measure of the vertex angle of an isosceles triangle is 20 less than twice the measure of each base angle. Find the measure of the vertex angle

Answers

Answer:

80

Step-by-step explanation:

Remark

Every triangle has a measure of 180 degrees.

Equation

Let the base angle = x

x + x + 2x-20 = 180

Solution

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 50

Conclusion

Base angle 1 = 50

Base angle 2 = 50

Vertex angle = 2*50 - 20

Vertex angle = 100 - 20

Vertex angle = 80

Tyler paid $16 for 4 raffle tickets.5.

What is the price per ticket?6.

How many tickets is that per dollar?

Answers

Answer:

$4/ticket; .25ticket per dollar

Step-by-step explanation:

Tyler paid $16 for 4 raffle tickets.

Part 1: What is the price per ticket?

Part 2: How many tickets per dollar?

For part 1, you will divide $16 by 4 tickets.

16/4=4

You can get 4 tickets for $16 so that's $4/ticket.

For part 2, you already know that it is $4 for one ticket. The question wants to know how many tickets you will get for $1. To find this answer you will divide 1 by 4.

4/1 = .25

So you can get .25 of a ticket per dollar.

Plz answer!! What is 120% of 75

Answers

Answer:

90

Step-by-step explanation:

2x + 28 = 40 and and 2(x + 14) = 40 have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.

Answers

Answer:

yes they are the same

Step-by-step explanation:

2x + 28 =40

you subtract 28 from both sides

2x + 28 - 28 = 40 - 28

2x=12

divide 12 by 2 and get 6

2(6)=12

2(x + 14)= 40

So, 2(x) + 2(14)

2x + 28 = 40

So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!

The solution for 2x + 28 = 40 is 6.

The solution for 2(x + 14) = 40 is 6.

Yes, they have the same solution.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2x + 28 = 40

Solve for x.

2x = 40 - 28

2x = 12

x = 6

2(x + 14) = 40

Solve for x.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6

Thus,

The solution for both equations is the same.

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A theater, the admission price for children is $4 and the admission price for adults is $8. The total amount the theater collects in admissions for the day is $1848. The total number of visitors is 283. Let be the number of children and let y be the number of adults. Which system represents the situation?

Answers

Answer:

[tex]4x+8y= 1848\\\\x+y= 283[/tex]

Step-by-step explanation:

Step one:

The admission price for children is $4

The admission price for adults is $8

Let be the number of children and

let y be the number of adults.

The total amount the theater collects in admissions for the day is $1848.

4x+8y= 1848-----------1

The total number of visitors is 283.

x+y= 283----------------2

Step two:

the system of equation for the situation is

4x+8y= 1848

x+y= 283

A candy machine makes 75 pieces of candy a minute. If a full box of candy holds 8 pieces, how many full boxes does the machine
make in a minute?

Answers

9 hvcitcutdutdutdutdut

Answer:

9

Step-by-step explanation:

75 divided by 8 equals 9 remainder 3

Have a good day! :)

solve the equation 13x+16y=11 for y

Answers

x − 3 = 6 − 2 x = − 8 √ x = 3

I'm literally begging someone to do this i'm so confuse

Answers

Answer:

D

Step-by-step explanation:

Answer:

i think its D! pls let me know if im wrong.

Step-by-step explanation:

In AABC, BC = 6, CA = 14, and AB = 19. Which statement about the angles of AABC must be true?​

Answers

Answer:

ca=14

Step-by-step explanation:

Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and the same height. The amount of sand Max used to build the Prism is how many times the amount used to build the Pyramid?

Answers

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V1) and it is calculated using;

[tex]V_1 = l * w * h[/tex]

[tex]V_1 = lw h[/tex]

Since the pyramid has the same base area and height as the prism, the its dimension would be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V2) and it is calculated using;

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

So, we have:

[tex]V_1 = lw h[/tex]

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

Substitute lwh for V1 in the second equation

[tex]V_2 = \frac{1}{3}V_1[/tex]

Multiply both sides by 3

[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]

[tex]3 * V_2 = V_1[/tex]

Reorder

[tex]V_1 = 3 * V_2[/tex]

[tex]V_1 = 3 V_2[/tex]

Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid

A number divided by –4 is –13.

Answers

Answer:

52

Step-by-step explanation:

52/-4 = -13

khdsylye

Answer:

I got 52!

Step-by-step explanation:

I searched it up to confirm it! C:

I still can't afford to fail this semester. The question is in the picture

Answers

Answer:

y=1/3x+7/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

m=(y2-y1)/(x2-x1)

m=(3-1)/(2-(-4))

m=2/(2+4)

m=2/6

simplify

m=1/3

y=1/3x+b

y-y1=m(x-x1)

y-1=1/3(x-(-4))

y-1=1/3(x+4)

y-1=1/3x+4/3

y=1/3x+4/3+1

y=1/3x+4/3+3/3

y=1/3x+7/3

the general equation of the line is x-3y+7=0

Would the weight of a gold ring most likely be measured in ounces, tons, or pounds?

Answers

Answer:

ounces

Step-by-step explanation:

moat likely ounces because of the size of the ring

The correct answer from the choices listed above is the first option, ounces.

What is weight?

Weight is the measure of the force of gravity acting on a body.

The weight of a gold ring most likely is expressed in ounces. The weight of gold is measured in troy ounces (1 troy ounce = 31.1034768 grams), but its purity, or "fineness" has been measured in a few different ways: "parts fine," "% gold", and carats.

Hence, the answer is ounces.

For more references on weight, click;

https://brainly.com/question/10069252

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Solve for f.
2f =
-38-22
4
Pls help doing a test?

Answers

Answer:

f=2

Step-by-step explanation:

hope this helps you

Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.

Use x to represent paper, write an inequality to model the situation

Answers

Answer:

150[tex]\geq[/tex] 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

Could someone please help ;(

Answers

Answer:

a. 25/33

b. 36

c. 1/15

d. 35/12

e. 19/12

Pls I need to answer someone I need to ask this question

Compute the sales commission:
Amount $4,500.00
Rate 5%

Answers

900 hope this helped

2) What is the equation of the line parallel to y=2x-2 passing through the
point (1,3)
y=2x-3
Oy=2x+1
Oy=-1/2x-2
Oy=1/2 x-2

Answers

Answer:

I believe the answer is c hope this helps

brainliest for correct answer A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.

Answers

Answer:

120

Step-by-step explanation:

All the angles should add up to equal 180 so,

28 + 32 + ? = 180

60 + ? = 180

180 - 60 = 120

This year, Farah's car is worth $22,000. If the value of Farah's car decreases by 8%, what will her car be worth next year?

Answers

Answer:

$20,240

Step-by-step explanation:

Multiply 22,000 by 0.92% since if you subtract 0.08 which is equivalent to 8% from 1, you would need that percentage to get to your final answer which is $20,240.

Another option is to do the same thing except multiply 22,000 by 0.08% in which $1,760 is being cut off as it decreases.  Subtract that number from $22,000 to get the same answer mentioned earlier.

Answer:

$20,240

Step-by-step explanation:

This is a simple interest formula.

$22,000*(8%/100%) = $1760

$22,000-$1760 = $20,240

Which expressions are equivalent to 2r + (t + r)2r+(t+r)2, r, plus, left parenthesis, t, plus, r, right parenthesis ?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
2rt + 4r

(Choice B)
B
r+tr

(Choice C)
C
None of the above

Answers

9514 1404 393

Answer:

  C  none of the above

Step-by-step explanation:

We can simply drop the parentheses and collect terms.

  2r +(t +r) = 2r + t + r = (2r +r) +t

  = 3r +t

PLZ HELPI DON'T UNDERSTAND THIS ONE.

Sylvia runs a company that produces clothing accessories—hats, patches, scarves, etc.—for events such as a Presidential inauguration. To produce each item costs her $1. She also pays an initial startup cost for production of $100, regardless of the number of products that she produces. She plans to sell each product for $5. How much money would the cost be to produce fifty products? What is Sylvia’s income if she sells fifty products?

Answers

Answer:

250 dollars

Step-by-step explanation:

5x50

Answer:

$50 to produce each and $150 would be her income

Step-by-step explanation:

4. Is there a variable factor common to 24a and 6?​

Answers

Answer:

There is no variable factor common to 24a and 6

Step-by-step explanation:

First number = 24a

Other number = 6

Pime factorisation of 24a = 2×2×3×2×a

Pime factorisation of 6= 3×2

Common factors = 6

Hence, there is no variable factor common to 24a and 6, Other common factor is 6.

Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.

Answers

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

anyone? If you know please comment!

Answers

Answer:

135

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define expression

3³ · (12 - 2) ÷ 2

Step 2: Evaluate

Exponents:                    27 · (12 - 2) ÷ 2Subtract:                        27 · 10 ÷ 2Multiply:                         270 ÷ 2Divide:                           135
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