Brayden just lit a new candle and then let it burn all the way down to nothing. The
candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches.
Write an equation for L, in terms of t, representing the length of the candle
remaining unburned, in inches, t hours after the candle was lit.

Answers

Answer 1

Answer:

L = -0.75t + 6

Step-by-step explanation:

L = length (this is what equation you are looking to solve for

-0.75t because the candle burns at 0.75 in per hour so the value decreases, hence the (-)

+6 because the candle has a positive value of 6 inches to begin with

The standard form of what you are writing is called slope intercept form y = mx + b, learn it because it is very important for future math.

Answer 2

The equation of the candle remaining unburned at any given time is       L(t) = 6 - 0.75t.

What is a function ?

A function is a set of values of the dependent variable for specified independent variable.

According to the given question Brayden just lit a new candle and then let it burn all the way down to nothing.

The candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches we have to write an equation for L in terms of t where t represents time in hours and L(t) represents length of the candle remain unburned.

∴ L(t) = 6 - 0.75t.

At t = 0 the length of the unburned candle L(t) will be 6 inches and at t = 8 L(t) will be 0,So the candle can burn for 8 hours.

learn more about function here :

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Related Questions

A truck can be rented from Company A for ​$100 a day plus ​$0.20 per mile. Company B charges ​$40 a day plus ​$0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

at mile 160, both will cost 300

Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.

Answers

Answer:

tn=9+3(n-1)

Step-by-step explanation:

Formula: tn=t1+d(n-1)

AKA: term n=term 1 plus common difference times n minus 1

For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1

Plug in the answer: tn=9+3(n-1)

Identify the slope and y-intercept of this graph.

slope = 2, y-intercept = 1
slope = 2, y-intercept = 1
slope = 2, y-intercept = -1
slope = -2, y-intercept = -1

Identify the slope and y-intercept of this graph.




Answers

Answer:

Step-by-step explanation:

Looking at the first graph, we see that if x increases from 0 to 1, y decreases from 2 to 0:

m = rise / run = -2/1 = -2

Arbitrarily choose the reference point (1, 0).  

Then y = mx + b becomes 0 = -2(1) + b, where b is the y-intercept.

Then b = 2, and the desired equation is

y = -2x + 2  

Answer:

15. slope=-2

y-intercept=2

16. slope=2

y-intercept=1

Step-by-step explanation:

ya kinda dub scalliwag, all you need to do is find the growth factor and starting point

Can you find the solution

Answers

Im gonna guess that it’s 12?

a box is 70 cm long. which of theses are the closest to the length of this box in feet?

A. 0.21 foot
B. 0.49 foot
C. 1.64 feet
D. 2.30 feet

Answers

Answer:

d. 2.30 feet

Step-by-step explanation:

there are around 30 cm per foot so 70 cm translates to around 2.3 feet

Answer:

2.29 fr

Step-by-step explanation:

Convert cm to ft.

I’ve cram shop sold 501 cones. They sold 501 cones. They sold 1/2 as many chocolate as vanilla. Write and equation & solve the problem.

Answers

Answer:

i want some kitty Kat

A
B
C С
1. How many blue rhombus blocks does it take to build a scaled copy of Figure A:
a. Where each side is twice as long?
b. Where each side is 3 times as long?
c. Where each side is 4 times as long?
Can some plz help me

Answers

Answer:

c

Step-by-step explanation:

place the following in order least to greatest

square root of 11
square root of 40
6
5​

Answers

Answer:

sqaure root of 11

5

6

square root of 40

Step-by-step explanation:

square root of 11- 3.31

sqaure root of 40- 6.32

6

5

hope this helps :)

HELP ME PLEASE!!!!!!!!!

Answers

Use Conects it got all the math questions n got the answer to questions ahead of the one u looking for

Answer plsssssssssssssss

Answers

Answer:

i can't see the full question

Step-by-step explanation:

Step-by-step explanation:

Okay, so we know that exponents mean a number times itself.

Numerator: 4x4x4x4x4x4x4= 16,384

Denominator: 4x4x4x4x4= 1,024

Now, since it is a fraction, we divide the two.

16,384/1,024= 16

Thus, your answer is 16 ;)

What is the exact value of Cosine (StartFraction 11 pi Over 21 EndFraction) cosine (StartFraction pi Over 7 EndFraction) minus sine (StartFraction 11 pi Over 21 EndFraction) sine (StartFraction pi over 7 EndFraction)?

Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Answers

Answer:

Option (2)

Step-by-step explanation:

Given trigonometric expression is,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]

This expression is in the form of an identity,

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]

                                                  = cos[tex](\frac{11\pi+3\pi}{21})[/tex]

                                                  = cos[tex](\frac{14\pi}{21})[/tex]

                                                  = cos[tex](\frac{2\pi}{3})[/tex]

                                                  = -[tex]\frac{1}{2}[/tex]

Therefore, Option (2) will be the answer.

Answer:

B. -1/2

Step-by-step explanation:

on edge

the value of f(2) for the function f(x)=2x+1

Answers

-1/2, subtract 1 from each side then divide by 2

If I have $100 dollars and spend $99.99 dollars, how much money do I have left?

Answers

Answer:

You have $00.01

Step-by-step explanation:

100-99.99=0.01

Answer:

A cent.

Step-by-step explanation:

100 - 99.99 = 0.01

You would have $0.01, or a cent, left.

Hope this helps.

What is 17% written as a decimal? Will give brainiest for fastest and correct answer!!!

What is 17% written as a decimal?
a.
0.0017
b.
0.017
c.
0.17
d.
1.7

Answers

Answer:

0.17

Step-by-step explanation:

Answer:

C) 0.17

Step-by-step explanation:

There is an invisible decimal behind the 17 in 17% and you have to move that decimal to the right twice. Which makes 17% become 0.17

In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 270 degree counterclockwise rotation?

Answers

Answer:

Square

Step-by-step explanation:

Help!!!! I don’t really understand sloped so any help would be helpful.

Answers

Answer: The slope is -2.

Step-by-step explanation:

Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.

The equation of a proportional line says that  y = kx  where k is the slope.

And to find k, you will divide y by x.

One point that is located on the line is  (-1,2)  The y coordinate is 2 and the x coordinate is -1.

Divide 2 by -1 to find the slope.

2/-1= -2  

This means the slope is -2.

El radio de la rueda de una bicicleta mide 30cm ¿cuanto avanza la bicicleta en cada vuelta?

Answers

Respuesta certificada por un experto
Si sabemos que la rueda de la bicicleta tiene 30 cm de radio, entonces... 10.000 m ÷ 1,885 m = 5.305,03 vueltas aproximadamente.

Solve for the solution: 2m+1≥7

Answers

Answer:

m≥3

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

-5 ( x + 7) = -5x + 35

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+7)=−5x+35

Step 1: Simplify both sides of the equation.

−5(x+7)=−5x+35

(−5)(x)+(−5)(7)=−5x+35(Distribute)

−5x+−35=−5x+35

−5x−35=−5x+35

Step 2: Add 5x to both sides.

−5x−35+5x=−5x+35+5x

−35=35

Step 3: Add 35 to both sides.

−35+35=35+35

0=70

Answer:

There are no solutions.

Answer:

x= no solution

Step-by-step explanation:

-5(x+7)=-5x+35

-5x-35=-5x+35

+5x       +5x

-35= 35

+35 +35

0=70

x=no solution

When x doesn't equal anything, and 0 doesn't equal 0, there is no solution to make the equation true. When 0=0, x can equal any value.

factor 2x^2 - 7x = 0

Answers

Answer: x=3.500

Step-by-step explanation:  product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

   2x-7 = 0  

Add  7  to both sides of the equation :  

                     2x = 7

Divide both sides of the equation by 2:

                    x = 7/2 = 3.500

10 multiplied by 1/2

Answers

5
Because 10 times 1/2 is 5

Can you find the equation of a line parallel to the green
line through the point (-5,-3). Write you equation in
point-slope form.

Answers

Answer:

[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.

We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can clearly identify the following points in the green line: (0,4) (5,0):

[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]

Now we have the slope and the point, the equation of the line is:

[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]

[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]

Which of these values could be the slope of the line? Select two options.

–2

0

3

Answers

Answer:

3

Step-by-step explanation:

The slope is positive since it goes from the bottom left to top right so 3 is the only choice

Answer: 3

Step-by-step explanation:

The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).

1. 1) Simplify the following expression: 5b - 5 - 12b - 7​

Answers

Step-by-step explanation:

Here is your answer in the screen shot please check there

Uva vez. Cuando esto sucede y se tiene un número intermina
ble o infinite de cifras en la parte decimal del numero, a este se le conoce como numero
decimal periódico; es decir, son números decimales que corresponden a las tracciones
que no son equivalentes a una fracción decimal
preguntas y desous
Lata de explicarle to
que entendiste.
s para obte-
Ejemplo: El número decimal 01, donde la Unea sobre la cifra indica que el número se
repite En la conversion
Residuo
-010-010 5 - 01m, et simbolo – significa "apro-
ximadamente iguala", pues 01,010 on son aproximaciones de
3
e residuo?
4. Escriban las fracciones como número decimal y determinen si se trata de un núme-
ro decimal finito o periódico.
.
.
= 0.2
.
12 = 1.75
sel divi-
0.0>
13
2 름
a) ¿Las fracciones cuya expresión en número decimal es periódica tienen una
fracción decimal equivalente? Justifiquen su respuesta. S.
durerador
b) Expliquen cuándo una fracción se puede representar como número decimal fini-
to y cuándo como número decimal infinito periódico y viceversa.
lenominadores
bo?
SANTANA
Expresas fracciones no decimales mediante aproximaciones con numeros
decimales finitos y mediante números decimales periodicos.

Answers

Answer:

can you translate please and i well answer your question!

Step-by-step explanation:

Determine the next 4 terms in the sequence.
8, 11, 14, 17, ...

Answers

Answer:

20, 23, 26, 29

Step-by-step explanation:

If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =

Answers

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

Substitute

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

Substitute

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

Substitute

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

Substitute

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

Substitute

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

Substitute

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

Substitute

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

Substitute

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

Substitute

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

Substitute

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

Substitute

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

Substitute

m<14 = 138°

Learn more here:

https://brainly.com/question/24607467

Solve the equation, justify
each step with an algebraic
property.
-2x = x – 5

Answers

Answer:

x= 1.66 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x=x−5

Step 1: Subtract x from both sides.

−2x − x = x − 5− x

−3x=−5

Step 2: Divide both sides by -3.

-3x/-3=-5/-3

Answer:

x=1.66 repeating

Can you guys please help me with this math problem

Answers

Answer: I believe that its the second one, the third one, and the fifth one. Have a great day and good luck!

Step-by-step explanation:

Answer:

the first isnt true, the second is true, the third fourth and fifth are correct and the sixth is false

Step-by-step explanation:

−24 − (18 ÷ 6) × (−12)

Answers

Answer:

12

Step-by-step explanation:

Answer:

The expression is equal to 12.

Step-by-step explanation:

[tex]-24-(18 / 6)*(-12)[/tex]

First of all, compute the parenthesis.

18 / 6 = 3

Now, replace 18/6 with 3 in our expression.

[tex]-24-(18 / 6)*(-12)[/tex]

[tex]-24-(3)*(-12)[/tex]

Next, compute the multiplication.

-12 * 3 = -36

Again, we'll replace that multiplication with negative 36:

[tex]-24-(3)*(-12)[/tex]

[tex]-24-(-36)[/tex]

Since subtracting a negative number is the same as adding a positive number:

[tex]-24-(-36) = -24+36[/tex]

Compute the addition:

[tex]-24+36=12[/tex]

[tex]-24-(18 / 6)*(-12) = 12[/tex]

Answer: The expression is equal to 12.

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