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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)

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.

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"

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:

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

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

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.

Answer:

im not sure but i think its 0.25

Step-by-step explanation:

Answer:

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

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:

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!

Answer:

1

Step-by-step explanation:

Because of probability

Answer:

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

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 :)

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.

Answer:

it is 3 in

Step-by-step explanation:

because 11 times 3 is 33 time 3 is 99

Answer: Pretty sure it would look like this

Step-by-step explanation:

Answer:

Divide

Step-by-step explanation:

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.

Answer:

Just use the first one and you divide.

Step-by-step explanation:

Answer:

A. L=0.2w+5

Hope this helps!!! :)

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

Answer:

1/4

Step-by-step explanation:

comparing with y=mx+c

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

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.