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

You are given parallelogram ABCD and side AB is congruent to side DC.
Prove segment AM is congruent to segment CM.
*Upload a picture of your markings along with your proof

Given triangle RPQ is isosceles and C is the midpoint of line RQ.
Prove that angle RPC is congruent to angle QPC.
*Upload a picture of your markings along with your proof

Answers

ABM=CDM-DMC=BAM alternate interior angles

AMB=CMD verticle angles

triangle AMB=CMD by ASA

A=c CPTC

ABD=BDC, BAC=ACD, ADB=DBC by CPCTC

AM=CM def of a Parallelogram

2.

RPQ is an isosceles triangle. C is the midpoint of line RQ- Given

RPC=QPC- construction

PC=PC reflective property

RPC= QPC- SAS

Choose two numbers from this list: 3, 4, 6, 12. Explain the difference between finding the greatest common factor and the least common multiple of the two numbers.

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

Let us choose 4 and 6

When we talk of the greatest common factor, we mean the highest number that is a factor of both numbers

The factors of 4 are 1,2,2 and 4

Factors of 6 are 1,2,3 and 6

So as we can see the only common factors to both are 1,2 but the highest here is 2

The least common multiple refers to the smallest number which divides 4 and 6 at the same time without leaving a remainder

Multiples of 4 are 4,8,12 , 16,20 •••••

multiples of 6 are 6,12,18,24

As we can see, the lowest common number to both is 12

The slope of the line is -1 the y intercept is (0,-6)

Answers

Answer:

y=-1x-6

Step-by-step explanation:

you can also use y=-x-6 but its your choice

the sum of three consecutive integers is 261 , which equation could be used to find the integer .

Answers

Answer:

You got it wrong, its the first option

Step-by-step explanation:

Since its not asking for a consectuive EVEN or ODD integer its not

X + X+2 + X+4...

Instead its just the normal way

X + X+1 + X+2 + X+3....

SO thats the correct answer.

When solving 7.6 ÷ 10, how is the decimal point moved?

1 place to the right

1 place to the left

2 places to the right

2 places to the left

Answers

Answer:

1 place to the left

Step-by-step explanation:

im pretty sure

it is moved 1 place to the left

*BRAINIEST & 20 POINTS*

i only have 2 chances so please get it correct!!!

Answers

Answer:

(-4, 5)

Step-by-step explanation:

partitions 1 to 4 means that point will make part of the line where it is 1 part to the other 4 parts. This means there are a total of five parts.

For x, we go from -7 to 8 or 15 units, and we are 1/5 of that distance so 3 units, add that to -7 we get -4.

For y, we go from 8 to -7, or 15 units, and we are 1/5 of that distance so 3 units, subtract that from 8 we get 5.

please give thanks by clicking the heart button :)

The dot plot shows the number of raffle tickets bought by each person.

Number of Raffle Tickets Bought
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 0 dots, 2 has 4 dots, 3 has 6 dots, 4 has 3 dots, 5 has 5 dots.

Where is the peak of the dot plot?
1
3
5
6

Answers

Answer:it’s B aka 3

Step-by-step explanation:

Answer:

3 AKA B

Step-by-step explanation:

if you look at it 3 is the highest peak

Mimi and her friend went to the Burger Barn for lunch. Their bill
totaled $24.68. They left a 15% tip for their waitress. How much
tin did they leave

Answers

Answer:

they tipped = 15% of 24.68 = 15/100*24.68 = 3.702

Step-by-step explanation:

Answer:

  Tip: $3.70  

  Total: $28.38

Step-by-step explanation:

  bill:    $24.68

  tip:     0.15 * 24.68 = $3.70

  Total:   24.68 + 3.70 = $28.38

ANSWER PLEASE !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

62 degrees

Step-by-step explanation:

First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=

58+4=

62 degrees

7. Here is a polygon:
00
А A
a. Draw the dilation of ABCD using center A and scale factor Label the dilation
EFGH
b. Draw the dilation of ABCD with center D and scale factor , Label the dilation
IJKL
C. Show that EFGH and I JKL are similar


plz answer quick i need it now whoever has the Correct answers i will give a brainliest

Answers

Answer:

21

Step-by-step explanation:

3 multiplied by what gives you 0.375

Answers

Answer:

0.125

Step-by-step explanation:

3xp=0.375

p=0.125

What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5? x = negative 8 x = negative 7 x = 7 x = 8

Answers

The answer is x=-8. Hope this helps

Answer:

i think its -8

Step-by-step explanation:

:)Merry christmas eve may you guys please help me with this :)

Answers

the answer is to this is c

It’s 4 trust me
I just looked it up to make sure

Ziad tells his son Marc: " This year my age is triple yours, but in 10 years, it will be the double". Find their ages.​

Answers

Answer:

Ziad is 30 years old.

Marc is 10 years old.

Step-by-step explanation:

We will use m to represent Marc's age this year, and z to represent Ziad's age this year.

This year:

z = 3m

To show their relative ages in ten years time:

z + 10 = 2(m+10)

We can rearrange this to make m the subject.

z + 10 = 2m + 20

z = 2m + 10

We also know that m = 3z. We can substitute this value into our equation.

3m = 2m + 10

m = 10

Use z = 3m to find that z = 30.

What is the correct answer?

Answers

Answer:

pretty sure its B the degree is the biggest number of exonent and the leading coefficient is the number in front of the x that is the biggest. u can look up the graph for end behavior.

Step-by-step explanation:

help me with these questions

Answers

Answer:

for the graph all you do is graph the points

the slope is 2

y-intercept is 8

equation- y=2x+8

and 18 dollars for 5 pizzas

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+218x+75

Answers

Answer:

6.81s

Step-by-step explanation:

First you must know that the velocity of the body is zero at the maximum height.

v =dy/dx

v= -32x+218

Since v = 0

-32x+218 =0

32x =218

x= 218/32

x = 6.81s

Hence the rocket reaches its maximum height after 6.81s

Answer i got it wrong it was 5.94

Step-by-step explanation:

brainliest for correct answer A' is (4,-8). Rotate the point 180 Counter clockwise and translate it left 3 and up 9.

Answers

Answer:

(-7,17)

Step-by-step explanation:

(4,-8) turns into (-4,8)

go left by 3 (-7,8)

go up by 9 (-7,17)

The sum of three consecutive even numbers is 558. What is the 1st number

Answers

Answer:

The first number is 184

Step-by-step explanation:

Hope this helps u!! :D

I need help doing this equation​

Answers

Answer:

Candy = $ 0.5

Soda = $ 4.0

Step-by-step explanation:

x + 2y = 5

x + 4y = 6

2y = 1

y = 1/2

= two candies were added and the price increased by 1 dollar, meaning that the a single candy is 0.5 dollar

1 candy = 0.5

x + 2(0.5) = 5

x + 1 = 5

x = 4

Question: What is the number of the parking space covered by the car?

Answers

Answer:

93

Step-by-step explanation:

In the diagram below of rectangle RSTU, diagonals RT and SU intersect at 0.
RT = 6x + 4 and 50 = 7% -6, what is the length of US?
U
A) 8
x
B) 2
C) 16
R
D) 32

Answers

6x+4=2(7x-6)
6x+4=14x-12
16=8x
X=2

B) 2
I think it’s correct

Answer: 16

Step-by-step explanation:

I need help on this question and I don't really know where to start can somebody help me? ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

1:4, meaning 1/4 section is grey. 100/4 is 25.

H is correct

Step-by-step explanation:

Frank is having the car pets in his house cleaned. The cost of the cleaning is calculated from the area of the carpets. C= the cost of the cleaning a= the area of the carpets. Which of the variables is independent which is dependent?

Answers

Answer:

Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

Step-by-step explanation:

cost of the cleaning is calculated from the area of the carpets

C= the cost of the cleaning a= the area of the carpets.

Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

A dependent variable is a variable which depends on other factors to exist. They take their values based on other factors. Their value is changed as a result of a change in independent variable

An independent variable is a variable which does not change as a result of the change in other factors. They take their values irrespective of external factors around them.

Please answerrrrrr I I’m horrible at this

Answers

Answer:

Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test

Please answer this there is a link to the photo

Answers

Answer:

588

Step-by-step explanation:

In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.

So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².

We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.

Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a total of $49.10. What is the distance (in miles) between Tammy's home and the airport?

Answers

Answer:

21

Step-by-step explanation:

49.10 - 5= 44.10

44.10 divided by 2.10= 21

Find the value
[tex](2x)0[/tex]

Answers

[tex] \bf {(2x)}^{0} = 1[/tex]

The rule is that any number raised to the power of 0 equals to 1.

So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

But 0 to the power 0 is undefined!

0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.

PLSS HURRY!!!
The line f(x) = x is graphed in the xy-coordinate plane.
How does the graph of the function f(x) + 1 compare to the graph of f(x)?

Answers

Answer:

Please check the attached diagram.

Thus, we conclude that:

In the diagram,

The red line represents the parent function f(x) = xThe blue line represents the function f(x) = x+1

The blue line indicates that the parent function has been shifted 1 unit upward.

Step-by-step explanation:

Let us recall some transformation knowledge.

We know that

if y = f(x), then y = f(x) + b simply means a transformation of (0, b).

In other words, if we add some constant let say 'b' in the output or y-value, the graph simply shifts upward by b units.

Given that

f(x) = x

so

f(x+1) = x+1 means the parent function f(x) = x has been shifted 1 unit upward.

Please check the attached diagram.

Thus, we conclude that:

In the diagram,

The red line represents the parent function f(x) = xThe blue line represents the function f(x) = x+1

The blue line indicates that the parent function has been shifted 1 unit upward.


I really really need help if it is correct you will get brainlist

Answers

The experimental probability of the highest frequency is 9/30 because the highest frequency out of blue (7), red (9) , green (6), and yellow (8) is red, and if you add them all together you get 30. Therefore, the number of all of them would go on bottom and the number of the highest frequency would be on top.

Answer:

9 is the most highest frequency and the third one is the answer

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