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A candle burns down at the rate of 0.75 inches per hour. The original height of the candle was 9 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burned was 0.5 inches per hour instead of 0.75 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

Answer 1

Answer:

15

Step-by-step explanation:Welcome for the answer. This answer is for good intentions only dont flag me please.
Answer 2

Step-by-step explanation:

Ordered Pairs

9 inches after 0 hours

8.15 inches after an hour

7.40 inches after 2 hours

6.65 inches after 3 hours

5.90 inches after 4 hours

4.15 inches after 5 hours

3.40 inches after 6 hours

Function

I don't believe it is a function but I could be wrong


Related Questions

1.2675 * 10^37 =
help pls its like 3am and for some reason my brain doesn't work :)

Answers

Answer:

the answer of the given equation is 1.2675E+37

Step-by-step explanation:

The computation is shown below:

Given that

= 1.2675 × 10^37

The above equation we need to solve

So,

= 1.2675 × 1E+37

= 1.2675E+37

So the answer after solving the equation is  1.2675E+37

The same would be considered and relevant

Hence, the answer of the given equation is 1.2675E+37

. Write an equation in slope-intercept form that shows the cost y for flowers for x number
of arrangements.
ok

Answers

Answer:

He placed his most loyal subjects in government jobs. He developed civil service exams to reduce corruption. He enforced strict rules for workers to ensure job effectiveness.

Answer:

ahh

Step-by-step explanation:

Please help me I really need help

Answers

Answer:

im not sure but i think its 0.25

Step-by-step explanation:

Plz need help it’s due today

Answers

A-no
B-yes
C-yes
D- yes

PLEASEE HELP MEEE I DONT UNDERSTAND IT

Answers

Answer:The answer should be, "The Least Frequency is at 13 Years."-The range should be 4, so that can't be it, and from the graph the frequency does not increase, it just goes down then back up.  Just based off the graph, it should be the 2nd choice :)

Draw and label an example of
two parallel lines that are perpendicular to a
third line.

Answers

Answer: Pretty sure it would look like this

Step-by-step explanation:

Need help with this math problem.

Answers

I forget all my vocabulary so hopefully someone else can correct me if the words I use aren't correct. But the following is definitely a function. "Although two x values correspond to a singular y value, the function passes a vertical line test. Meaning that it is ok to have values of x that equal the same y values, however two values of y assigned to the same x value would make the function undefined."

Hope this helps! The only vocabulary in this that you would really need is "corresponding," and (if you learned about it, you may not have yet) "vertical line test"

someone please helppp

Answers

Answer:

7

Step-by-step explanation:

We know that alternate angles ( Z angles) are equal

So, the angle that is adjacent to (13x + 2) = (12x+3)

First, calculate the measure of the angle adjacent to (13x+2)

We know that the angles on a straight line add up to 180 degrees.

Therefore, the angle adjacent to (13x+2) = 180-(13x+2)

Simplify this to: 178-13x

So, now we have an equation

178 - 13x = 12x + 3

Rearrange to find the value of x

25x = 175

x = 7

Hope this helps.

A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?

A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5

Answers

Answer:

A. L=0.2w+5

Hope this helps!!! :)

The answer would be A

A rectangle has a width of (4g) and a length of (28 - 3). The perimeter of the rectangle is 54 units. What is the
value of g?

Answers

Answer:

Step-by-step explanation:

sorry do not .know

To find the value of g, we need to use the formula for the perimeter of a rectangle, which is:

P = 2(l + w)

where P is the perimeter, l is the length, and w is the width.

We are given that the width is 4g and the length is 28 - 3 = 25, so we can substitute these values into the formula:

54 = 2(25 + 4g)

Next, we can simplify the equation by first distributing the 2:

54 = 50 + 8g

Then, we can isolate g on one side of the equation by subtracting 50 from both sides:

4 = 8g

Finally, we can solve for g by dividing both sides by 8:

g = 4/8

Simplifying this expression gives us:

g = 1/2

Therefore, the value of g is 1/2.

Hope this helps <3

Please give me Brainliest :)

A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?

Answers

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST












7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.

b. In the equation, what does the 500 tell us about the situation?

c. In the equation, what does the tell us about the situation?

d. Graph the equation for values of t between 0 and 4.

Answers

Answer:

a. 281.25 grams

b. The 500 represent the original amount of aspirin.

c. 3/4 tells us what amount of the aspirin remains after every hour.

d's answer is in the picture. Just copy the line.

Step-by-step explanation:

A is the only part that needs any explanation.

Since the t represent hours, I'll subsititute t for 2.

500 * (3/4)²

3/4 squared is 9/16.

500 * 9/16

Multiply 500 by 9 to get 4500.

4500/16

Simplify 4500/16 to 1125/4 (4 is canceled out.)

1125/4

Divide 1125 by 4 to get 281.25

281.25

281.25 grams of aspirin will be in the patient body after two hours.

If f(x)=x2, which equation represents function g?

A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)

Answers

I think it’s a because look at your graph if you look closely you can see that the red line is a v and u calculate your dots

help BRAINLES tysmm

Answers

Answer:

64 units^2

Step-by-step explanation:

A = 1/2*b*h

A = 1/2 * 16 * 8

A = 64

Answer:

64 units

Step-by-step explanation:

In figure find the value of x triangle PQR

20 POINTSSSS

Answers

Answer:

Divide

Step-by-step explanation:

HELP ASAP PLEASE its due today !!

Answers

Answer:

it is 3 in

Step-by-step explanation:

because 11 times 3 is 33 time 3 is 99

The answer would be 3

You have read 25 pages of a book. You plan to read an additional 10 pages each night. Write the explicit formula to represent the number of pages you will read after n nights.

Answers

Answer:

p=10n+25

Step-by-step explanation:

Let's have p represent the number of pages you will read. If you read 10 pages per night, then you are multiplying 10 by the number of nights, which gives you 10n. Because you have already read 25 pages, you want to add to the 10n to give you the equation of p=10n+25

Answer:

Pages= 25 + 10n

Step-by-step explanation:

Since the starting point is 25, that remains constant. 10n represents 10 pages per night.

which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),

Answers

Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

Group like terms.. I was confused and need help asap!

Answers

I think what you have to do is group the numbers such as x^2 and -3x^2 and let’s just say since you have 5x^2y thrown in there it wouldn’t be a like term with x^2 and -3x^2 I’m sorry if this didn’t make sense I tried

Please answer and show work thank you:)

Answers

Answer:

Just use the first one and you divide.

Step-by-step explanation:

use the first one then divide!

1/2x+45 what is the answer to the problem

Answers

the answer would be 45.5

Rewrite the expression in the form a^n (a^2/3)^-1

Answers

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

Find the y-intercept of the line on the graph

Answers

2 it’s literally just where the line crosses on the y axis

An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.

Answers

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

[tex]65+90+x+180[/tex]

[tex]x=180-90-65[/tex]

[tex]x=25[/tex]

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]

[tex]b=16sin(25)[/tex]

Make sure to be in degrees when putting this in a calculator.

[tex]b=6.8[/tex]

Hope this helps!

what is the area of the quadrilateral?

Answers

Answer:

          A = 16 m²

Step-by-step explanation:

The area of the quadrilateral is a sum of areas of two triangles with base of 8 m and hight of 2 m.

A = 2×0.5×8×2 = 16 m²

Can you guys help me........plz

Answers

Answer:

1

Step-by-step explanation:

Because of probability

The answer is 1. I hope this helps!!!!!

if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?

Answers

Answer:

45 minutes

Step-by-step explanation:

you can disregard the 1:15 pm time

Answer:

45 minutes.

Step-by-step explanation:

You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.

11:45am to 12:30pm

Adding 15 minutes turns 11:45 am to 12:00 pm

Add another 30 minutes, it becomes 12:30 pm.

Calculate the sum of the minutes:

15+30 = 45 minutes.

help?!
???????????LK

Answers

Answer:

Equation: 65+1.50m=78.50

Solution to the equation= 9 minutes

Step-by-step explanation:

The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :

65+1.50m=78.50

(btw, m stands for minutes)

So to solve the equation:

1.50m=13.50

m= 9

Each day Gianna practices penalty kicks with her older brother as the goalie. Yesterday she made 18/24 of her penalty kicks. Today she plans on shooting 36 penalty kicks. How many penalty kicks would Gianna have to make to successfully shoot an equivalent fraction as yesterday?

Answers

Answer: 27

Step-by-step explanation:

Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:

= 18/24 = 3/4 .

If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:

= 3/4 × 36

= 3 × 9

= 27 penalty kicks.

Find the gradient for y= 1/4x-2​

Answers

Answer:

1/4

Step-by-step explanation:

comparing with y=mx+c

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