The height of a burning candle can be modeled by a linear function.
Candle A has an initial height of 201 millimeters, and its height
decreases to 177 millimeters after 4 hours of burning. The height, h,
in millimeters, of Candle B can be modeled by the function
h = 290-5t, where t is the time in hours. Which of the following
statements are true? Select all that apply.
the initial

The Height Of A Burning Candle Can Be Modeled By A Linear Function.Candle A Has An Initial Height Of

Answers

Answer 1

Answer:

below

Step-by-step explanation:

• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.

• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.

24 / 4 = 6

       As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.

• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.

290 / 5 = 58

       Candle B will burn out after 58 hours. This statement is true.

• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.

10 x 6 = 60

201 - 60 = 141

After 10 hours the height of Candle a will be 141 millimeters. This statement is true.

• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that

       Candle A will burn out before Candle B. This statement is true.


Related Questions

The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.

Answers

Original value =£120000
Increased value=192000-120000=72000
%increased = (72000/120000)*100%=60%
Answer is 60% increase

question 6. evaluate the expression

Answers

[tex]|-24 \div 2^2|\\\\\\=\left|-24 \times \dfrac 1{2^2} \right|\\\\\\=\left|-\dfrac{24}4\right|\\ \\\\=|-6|\\\\\\=6[/tex]

-24 divided by 2 will be a negative answer which is -6 cause if you do -21 divided by 2 powered by 2. -6 is your answer I hope that’s right and hope this helps.

2 x{15 plus[24-(1.5 x2)]}

Answers

Answer:

72.

Step-by-step explanation:

2 x{15 plus[24-(1.5 x2)]}

Using PEDMAS:

= 2 x {15 + [24-(3)]}

= 2 x (15 + 21)

= 2 x 36

= 72.

I need help what is (4÷5×x) what I x​

Answers

Answer:

0.8x

Step-by-step explanation:

According to BODMAS,

Step 1 :

4 ÷ 5

= 4 / 5

= 0.8

Step 2 : Multiply x.

0.8 * x = 0.8x

Answer:

Step one

4 ÷ 5

= 4/5

= 0.8

Step two = 0.8 * x

= 0.8x

Need help please answer ASAP!

Answers

Answer:

(2) B

Step-by-step explanation:

According to the graph

p(2, 3) so (-b, a) is (-3, 2)

So B is right

Answer:

[tex]B = ( - b,\: a)[/tex]

Step-by-step explanation:

Since P has the coordinates (a, b), then (a,b) would be (2, 3). Therefore:

[tex]a = 2\: and \: b = 3[/tex]

We are trying to find what point has the coordinates (-b, a). Recall:

[tex]a = 2 \: \: \: \: \: \: \: \: b = 3 \\ ( - b, \: a) = \\ ( - 3, \: 2)[/tex]

The point that is at (-3, 2) is point B.

.......................................................

Answers

Answer:

What are we suppose to answer...

Helpppp
I'll give 50 pts

Answers

Answer:

Step-by-step explanation:

Answer:

i agree with the other anwser!!

Step-by-step explanation:

What’s the next sequence

Answers

the formula for this sequence is an=2.6+(n-1)*1
recursive formula= an=a(n-1)+1.2

therefore the answer being 6.2

Is 3/10 equivalent to 12/20 or 5/20?

Answers

Answer:

Neither?

Step-by-step explanation:

3/10 = 0.3

12/20 = 0.6

5/20 = 0.25

I would say that its up to you what you want to put.

Sorry if it doesn't help.

help its urgent!!!!!!!

Answers

It should be the last one

A goat race is 325 meters long. An ant race is 75 centimeters long.

How much longer is the goat race than the ant race in meters?

Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.


Question 2
Step 2: Determine how much longer the goat race is than the ant race in meters.

Answers

The goat race is 324.25 meters longer than the ant race .

How to find the distance differences?

The goat race is 325 meters long. The ant race is 75 centimetres long.

The goat race is in meters while the ant race is in centimetres.

Let's convert the ant race to meters.

Hence,

1 cm  = 0.01 m

75 = ?

cross multiply

Ant race = 0.75 meters

Therefore, let's find the difference between the goat race and the ant race.

325 - 0.75 = 324.25 meters.

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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.

So=75 cm ÷ 100 = 0.75 m

Step-by-step explanation:

Step 2: Determine how much longer the goat race is than the ant race in meters.  

o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.

Remember to line up the decimal points and add zeros as plac

eholders. The difference of 325 and 0.75 is 324.25.

The goat race is 324.25 meters longer than the ant race.

Find the distance between $\frac{13}{3}$ and $\sqrt{\frac{16}{9}}$ on a number line. The distance is unit.

Answers

[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]

So, I'm trying to solve this question but I can't quite jog my mind, A little help here maybe > Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees.

Answers

By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.

Can the trees be planted in 6, 8, or 9 parts?

We know that each of these parts needs to have the same number of each type of trees.

So we need to see if 6, 8, or 9, are common factors between 36 and 54.

First:

6*6 = 36

9*4 = 36

So 9 and 6 are factors of 36.

And 9*6 = 54

So 9 and 6 are factors of 54.

(8 is not a factor of neither)

So 9 and 6 are common factors between 36 and 54.

Then we can divide the trees in 6 or in 9 parts, but not in 8.

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y=-2x+8
y=x-7
solved by graphing

Answers

Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph

is -8x a binomial or trinomial or monomial or polynomial​

Answers

Answer:

monomial

Step-by-step explanation:

On the same coordinate plane, mark all points (x, y) that satisfy each rule.

y = -3 -X

Show Graph!!!
100 Points!!!!!

Answers

Answer:

y=3x-2

For plotting graph we have to put some x values in above equation then we get y Ans

when x=0,y=-2

when x=1,y=1

when x=2,y=4

when x=-1, y=-5

when x=-2, y=-8

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

come up with a scenario that models an inverse variation situation provide at least four data pairs for the situation

Answers

Best examples

Boyles law

P is inversely proportional to VP1V1=P2V

Current with resistance

I1R1=I2R2

Resistance with length of wire

R1l1=R2l2

Pressure with area

P1A1=P2A2

Can someone please explain this to me very detailed I don’t understand it. Please

Answers

Answer:

a140 b10

Step-by-step explanation:

a x(all the pupil)×25%=35

x=140

b. 16:y=40:25

y=16×25/40=20

y=x^4-x^3-5x^2-x-6
Show steps

Answers

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2

Step-by-step explanation:

Answer:

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.

1 - Factor the following.

[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]

2 - First, find all factors of the constant term 6.

[tex]1, 2, 3, 6[/tex]

3 - Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]

Substitute -2 into x. Since the result is 0, x+2 is a factor..

[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]

⇒ [tex]x+2[/tex]

4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]

                                        [tex]x^3[/tex]                [tex]-3x^2[/tex]              [tex]x[/tex]           [tex]-3[/tex]

                                            --------------------------------------------------------------

[tex]x+2[/tex]                                    |   [tex]x^4[/tex]        [tex]-x^3[/tex]               [tex]-5x^2[/tex]     [tex]-x[/tex]           [tex]-6[/tex]

                                                  [tex]x^4[/tex]         [tex]2x^3[/tex]

                                                 ------------------------------------------------------------

                                               [tex]-3x^3[/tex]         [tex]-5x^2[/tex]          [tex]-x[/tex]              [tex]-6[/tex]

                                                 [tex]-3x^3[/tex]       [tex]-6x^2[/tex]

                                                   ---------------------------------------

                                                    [tex]-3x[/tex]         [tex]-6[/tex]

                                                       [tex]-3x[/tex]      [tex]-6[/tex]

                                                       ---------------

5 - Rewrite the expression using the above.

[tex]{x}^{3}-3{x}^{2}+x-3[/tex]

2) Factor out common terms in the first two terms, then in the last two terms.

[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]

3) Factor out the common term [tex]x-3[/tex].

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

A certain pond has a minnow population of 20,000, and the population of minnows is increasing at a rate of 5% per year. The algae that the minnows eat is diminishing due to an excess amount of UV light, and the number of minnows it can support is shrinking by 750 each year. How is the population of minnows growing, and how is the supply of algae declining

Answers

Answer:

20000(.05)^x-750

Step-by-step explanation:

That's the equation for figuring out the population

please help me!! what would x be?? solve for X

Answers

Answer:

x = 14

Step-by-step explanation:

The different types of angle relationships:

Supplementary Angles : Supplementary angles are two angles that form a line, the sum of the two angles is 180 degreesComplementary Angles : Complementary angles are two angles that form a right angle , the sum of the two angles is 90 degreesVertical Angles : Vertical angles are angles opposite of each other formed on intersecting lines, the two angles are congruent ( equal to each other )

Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.

Creating an equation:

We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.

In other words 9x - 14 + 5x - 2 = 180

Solving for x

Know that we have created an equation we can solve for x algebraically.

9x - 14 + 5x - 2 = 180

==> combine like terms

14x - 16 = 180

==> add 16 to both sides

14x = 196

==> divide both sides by 14

x = 14

And we are done!

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's solve for x } [/tex]~

[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]

[tex] \texttt{[ by linear pair property ]} [/tex]

[tex]\qquad \sf  \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x - 16 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 180 + 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 196[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 196 \div 14[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 14[/tex]

[tex] \texttt{Therefore, the value of x is 14} [/tex]

I Hope you understood the whole procedure ~

I NEED THE ANSWER TO THIS QUESTION ASAP

Answers

Answer:

B

Step-by-step explanation:

Add 15,181 and 137 then for part b subtract 15,181 and 4,893 and that's a way higher number than 4,893 and 137

Answer:

Step-by-step explanation:

+ 15,181 ft.

- 137 ft.

d = | 15,181 - ( - 137 ) | = 15,318 ft.

15,318 ÷ 2 = 7,659 ft. > ( 4,893 + 137 ) ft.

⇒ the answer is (B).

there are 58 total views for the month.
Bookface averaged 24.3 views more than Snapgram. Giggle averaged 14.6 less views than Bookface.
Find how many views each site got during the month.

PLEASE ASAP THIS IS DUE TODAY! Thank you!

Answers

The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.

How to solve equation

Total views = 58

let

snapgram views = xBookface views = x + 24.3Giggle views = (x + 24.3) - 14.6

= x + 24.3 - 14.6

= x + 9.7

Total = snapgram + bookface + giggle

58 = x + (x + 24.3) + (x + 9.7)

58 = x + x + 24.3 + x + 9.7

58 = 3x + 33

3x = 58 - 34

3x = 24

x = 24/3

x = 8 views

Therefore,

snapgram views = x

= 8 views

Bookface views = x + 24.3

= 8 + 24.3

= 32.3 views

Giggle views = x + 9.7

= 8 + 9.7

= 17.7 views

Learn more about equation:

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Find the measure of the missing angles.

Answers

h = 68
g = 112
k = 82
m = 98

find the zeros f(x)=x^2+4x-12

Answers

Answer:

Step-by-step explanation:

f(x)=x2−4x−

12Set x2−4x−

12 equal to 0.x2−4x−

12

=

0

Solve for

x

.

x

=

6

,

2

what are the zeros of the function below?
*EXPLANATION NEEDED*
f(x) = (x^2 - 9) (x +1)

A. -1, -3, 3
B. -1, -3, 1
C. -1, 3, 1
D. 1, -3, 3

Answers

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given below.

[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]

The function can be written as

[tex]\rm f(x) = (x^2 - 3^2) (x +1)\\\\\rm f(x) = (x - 3)(x+ 3) (x +1)[/tex]

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.

More about the factorization link is given below.

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Help meee pleaseeeeeeee

Answers

Answer:

The answer to this question is letter choice E. 25%.

Step-by-step explanation:

Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.

A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .

What is the length of a line segment joining these points?

Enter your answer as a simplified mixed number in the box.

Answers

Answer:

8 7/20

Step-by-step explanation:

Converting both numbers to improper fractions :

4 3/5

⇒ (4 x 5/5) + 3/5

⇒ 20/5 + 3/5

23/5

-3 3/4

⇒ - (3 x 4/4 + 3/4)

⇒ - (12/4 + 3/4)

⇒  -15/4

Take the LCM as 20 and convert :

23/5

⇒ 23/5 x 4/4

92/20

-15/4

⇒ -15/4 x 5/5

-75/20

Now find the difference :

⇒ 92/20 - (-75/20)

⇒ 92/20 + 75/20

⇒ 92 + 75 / 20

167/20

Now convert into a mixed number :

⇒ 167/20

8 7/20

Find the difference

4-3/5-(-3-3/4)23/5+15/44(23)+5(15)/2092+75/20167/208-7/20

My friend recently proved 0=1 and i know something is wrong but i dont know what

Answers

√a × √b = √ab

only if at atleast one among a,b is positive

here both a,b is non negative so not possible

Step-by-step explanation:

Remember when expanding radicals,

[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]

When expanding radicals into two radicals, we don't let our radicand have two negative answers.

[tex]i = \sqrt{ - 1} [/tex]

[tex] {i}^{2} = - 1[/tex]

We don't do this

[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

[tex] - 1 = 1[/tex]

The length of a field measures 3.5 miles.

what does the length of the field measure in feet?

note: 1 mile = 5,280 feet


13,200 ft

15,840 ft

18,480 ft

21,120 ft

Answers

Answer:

18480 feet

Step-by-step explanation:

5280 feet are in a mile 3.5 ×5280=18480

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