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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:

11=x

Step-by-step explanation:

Answer:

what is your question

Step-by-step explanation:

Answer:

1157.91 or rounded 1157.9 or 1158

Step-by-step explanation:

π • r^2 • (h/3)

π • 10^2 • 11/3

Answer:

if Y=-3 and 4y is the equation then the answer is -27

Answer:

4y=-12

4+y=1

Step-by-step explanation:

when y=-3

then you substitute the value of y into the questions

4(-3)=

4×-3

=-12

4+y

4+(-3)

we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)

so therefore,

4-3

=1

Answer:

V=πr^2h=π·8^2·6≈1206.37158

Step-by-step explanation:

Given:

Yamir is twice as old as Pato.

In three years, the sum of their ages will be 30.

Pato's current age is represented by [tex]a[/tex].

To find:

The equation that could be used to correctly solve for [tex]a[/tex].

Solution:

We know that, Pato's current age is represented by a, then

Yamir's age = [tex]2a[/tex]

After three years,

Pato's age = [tex]a+3[/tex]

Yamir's age = [tex]2a+3[/tex]

In three years, the sum of their ages will be 30.

[tex](a+3)+(2a+3)=30[/tex]

[tex](a+2a)+(3+3)=30[/tex]

[tex]a+2a+6=30[/tex]

Therefore, the correct option is 2.

Answer:

-4,-4

Step-by-step explanation:

let the numbers be x and y.

x+y=-8

y=-x-8

xy=16

x(-x-8)=16

-x²-8x=16

x²+8x+16=0

x²+4x+4x+16=0

x(x+4)+4(x+4)=0

(x+4)(x+4)=0

x=-4,-4

Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

x = 0+6.

x = 6

Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Answer:

[tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]

Answer:

see explanation

Step-by-step explanation:

The zeros of the graph are x = - 4 and x = 2 , then the factors are

(x + 4)(x - 2) and

y = a(x + 4)(x - 2) ← a is a multiplier

To find a use any other point on the graph and substitute into the equation

Using (0, - 8 ) , then

- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )

1 = a

y = (x + 4)(x - 2) = x² + 2x - 8

with b = 2 and c = - 8

The graph is increasing from the turning point ( vertex) to the right

vertex = (- 1, - 9 )

Increasing in the interval [- 1, ∞ )

Answer:

x ≤ -27

Step-by-step explanation:

multiply each side by -9

when multiplying or dividing an inequality by a negative value you must reverse the inequality symbol

Answer:

12

Step-by-step explanation:

if only EC is a diameter and DO is a radius

Answer: y= -3(x+4)

Step-by-step explanation:

Answer:

https //ryan group.topper.school/ login

Answer:

enlarge by scale factor -1/2, centre 6,5

Answer:

2.389 × 10^5

Step-by-step explanation:

the coefficient must be between 1 to 10

Answer:

In bold below.

Step-by-step explanation:

Find derivative which gives the velocity:

V = h' = -32t + 28

At maxm height V = 0 so

-32t + 28 = 0

Time to reach maxm height t = -28/-32 = 0.875 seconds.

So maxm height

= -16(0.875)^2 + 28*0.875 + 8

= 20.25 ft.

Answer:

2(9.2+x)=12.5

Step-by-step explanation:

Henry is adding 9.2 to your number, x, and after he adds it, he doubles it. This will then allow him to get the answer 12.5

The answer is 384 mangoes I hope it is helpful.

Answer:

It should be "there ARE 254 counties in texas..."

Step-by-step explanation:

is the wrong one it should be are

Step-by-step explanation:

Answer:

-400

Step-by-step explanation:

The area of triangle IJK is 999.8 square centimeters

The given parameters are:

[tex]\angle I = 120^o[/tex]

[tex]\angle J = 59^o[/tex]

[tex]i = 340cm[/tex]

Start by calculating the length of side j using the following sine ratio

[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]

Make j the subject of the formula

[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]

Substitute known values

[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]

Evaluate the expression

[tex]j = 337[/tex]

Next, calculate angle K using the following sum of angles formula

[tex]\angle I + \angle J + \angle K =180[/tex]

Substitute known values

[tex]120 + 59 + \angle K =180[/tex]

[tex]179 + \angle K =180[/tex]

Subtract 179 from both sides

[tex]\angle K =1[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]

So, we have:

[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]

Evaluate

[tex]Area = 999.8[/tex]

Hence, the area of triangle IJK is 999.8 square centimeters

Read more about areas at:

https://brainly.com/question/2391510