PLEEEASE HELP!!! EXPLAIN ALL PARTS!!!
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 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, 8) would represent a height of 8 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 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answer: 5/8

Step-by-step explanation:

Answer:

k = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The standard form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{5}{8}[/tex] x ← is in this form

with k = [tex]\frac{5}{8}[/tex]

Answer:

when both bottom numbers on a fraction are the same at the lowest form

Step-by-step explanation:

example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8

Answer:

x=29

Step-by-step explanation:

isolate x, and multiply the 29 by -1

Answer: B

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

Answer:

B

Step-by-step explanation:

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

Answer:

I guess the answer is c.... I guess it must be c

Answer:

The correct answer is the last one.

Step-by-step explanation:

Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.

The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).

The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.

Hope this helps!

the answer is D.

here is proof

Answer:

D. 71.61 ft

Step-by-step explanation:

A=pi*r^2

408.3=pi*r^2

solve for r

r=11.4 ft

C=2*pi*r

C=2*pi*11.4=71.61 ft

Answer:

8 miles OR 8.0 miles

Answer:

False

Step-by-step explanation:

Let us check using Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

Where c is the hypotenuse (14), a is the base (13) and b is the perpendicular (5)

Putting in the above formula

[tex]14^2 = 13^2 + 5^2[/tex]

196 = 169+25

196 ≠ 194

So, It is not a right angled triangle

Answer:

[tex]\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}[/tex]

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.

The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

Answer: negative infinity to infinity and 3 to infinity

Step-by-step explanation:

edge 2023

Answer:

Maximum: 756

Minimum: 600

Step-by-step explanation:

A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:

(1+3+5+8+10)(2+4+6+7+9)

For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:

(1+2+3+4+5)(6+7+8+9+10)=600

Hope this helps!

Answer:D

Step-by-step explanation:

Step-by-step explanation:

4/9x-10>x/3-12

3 4/9x-3 10>x/3-12

4/3x-10>x-12

3 4/3x-3(10>x)-3(12)

4x-30x<-36

26x<-36

Answer:

" Expected Payoff " ⇒ $ 0.830

Step-by-step explanation:

Consider the probability of entering 1 ticket out of the 1000 entered;

[tex]Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83[/tex]

Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )

Answer:

90

Step-by-step explanation:

140-50

this is because the band took 50 and got 140 to remove 50 from 140

Answer:

no

Step-by-step explanation:

It does.

5x-2=0

5x=2

x=2/5

(2/5, 0)

is an x-intercept

Answer:

m<-25/

Step-by-step explanation:

Answer:

(a). Range is 6 (b). Mode is 5.75

Step-by-step explanation:

Finding range: Subtract the smallest value (2) from the largest value (8).

Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.

_______________________________

Hey!!!

Solution,

2x+2x+3x=77

or,7x=77

or,X=77/7

X=11

Replacing value,

2x=2*11

=22

3x=3*11

=33

So, Brian gets £ 22.

Kritika gets £ 22

Peter gets £ 33

Hope it helps...

Good luck on your assignment

_____________________________

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

Answer:

z, y and x

Step-by-step explanation:

Now, to answer this question, what we must know is that the side facing the largest angle is the largest while the side facing the smallest is the smallest.

What i’m saying in essence is that the bigger the angle faced, the larger the side.

Now since we have 3 angles in a triangle that adds up to 180

we have 27 and 48 already, the third side would be 180-27-48 = 105

So which side faces which angle?

Let’s have a diagrammatic representation of the said triangle.

Check this in the attachment please

The longest side is thus z, followed by y and lastly x

The measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

m∠X = 27°

m∠Y = 48°

The sum of the angle of the triangle is 180°

m∠X+m∠Y+m∠Z = 180°

27° +48° + m∠Z  =  180°

m∠Z = 105°

The order of the angle measurement;

m∠Z > m∠Y > m∠X

Hence, the measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ5

Answer:

c. 2.2%

Step-by-step explanation:

The total number of all students in all fields, male and female is 4663.

There are 103 female research scientists.

p(female scientist) = 103/4663 = 0.022 = 2.2%

Answer:

  a) 50π cm^2

  b) π/8

Step-by-step explanation:

a) The formula for the area of a semicircle is ...

  A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2

For a diameter of 20 cm, the area is ...

  A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle

__

The formula for the area of a quarter circle is ...

  A = (1/4)πr^2

For a radius of 20 cm, the area is ...

  A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle

__

The shaded area is the difference of the areas of the quarter circle and semicircle:

  shaded area = (100π cm^2) -(50π cm^2)

  shaded area = 50π cm^2

__

b) The ratio of the shaded area to the square area is ...

  shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8

Answer:

1/2

Step-by-step explanation:

Out of a total 12 donuts, 6 of them are maple. Assuming this ratio stays constant, the experimental probability that the next one sold is a maple donut is 6/12=1/2. Hope this helps!

Answer:

P(maple donut) = 0.5

Step-by-step explanation:

If they sold 12 donuts, of which 6 of them were Maple Donuts.

The experimental probability of donuts sold that were maple donuts is:

[tex]\frac{6}{12}=\frac{1}{2}=0.5[/tex]

Therefore donuts sold in the future, would follow this probability, so our answer is 0.5.

Answer:

Step-by-step explanation:

[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]

hope this helps

Answer:

[tex]x=log_{1.5}(\frac{y}{20})[/tex]

Step-by-step explanation:

Considering the function:

[tex]f(x) = 20\, (1.5)^x[/tex]

The independent variable is "x" and we are asked to model it in terms of the variable "y":

[tex]f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x[/tex]

Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.

Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":

[tex]y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})[/tex]

Answer: A circle divided into 10 equal parts with 8 parts shaded

Step-by-step explanation:

Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.

A circle divided into 5 parts with 1 part shaded = 1/5

A circle divided into 10 parts with 5 parts shaded = 5/10

A circle divided into 6 parts with 2 parts shaded = 1/3

A circle divided into 10 parts with 8 parts shaded = 8/10

Okay so looking at this we can see that they don't have a common denominator so lets fix that

1/5 = 6/30

5/10 = 15/30

1/3 = 10/30

8/10 = 24/30

3/5 = 18/30

Now lets find which one is greater than 3/5

Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.

Answer: B for short

Step-by-step explanation:

All credit to the person above me! <3

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

Answer:

x= -1

Step-by-step explanation:

Solving through linear equation,

-0.1x + 3/10= 4/10

Bring 3/10 to the other side making it minus

-0.1x = 4/10 - 3/10

-0.1x = (4-3)/10

-0.1x= 1/10

Bring -0.1 to the other side n divide

x= 1/10 ÷ -0.1

( Note that -0.1 is the same as -1/10)

x = 1/10 ÷ -1/10

= 1/10*-10/1

= -10/10

= -1