The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?

Answers

Answer 1

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2


Related Questions

Multiplying in any order results in the same product is called
the
Property. *
Distributive
Associative
Commutative
O Additive Inverse

Answers

Answer:

C) commutative

Step-by-step explanation:

Example: a x b = b x a

find the ratio of 5m to 11m in simple ways

Answers

Answer:

5m to 11m simplified to a ratio would be 5:11.

Step-by-step explanation:

To calculate ratios, try to think of them as fractions instead.

When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!

As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].

Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].

Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!

Hence, 5m to 11m simplified to a ratio would be 5:11!

Hope this helped!

Please helppppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

BH = 16

Step-by-step explanation:

The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.

That means that BH is 2/3 of the length BF.

BH = (2/3)(BF)

BH = (2/3)(24)

BH = 16

Two trains have to travel 300 miles. Train A travels at 50 mph and train B travels at 60 mph. However, Train B leaves 1 hour later. When will the two trains meet?

Answers

Answer:

7 hours

Step-by-step explanation:

They won’t nessciarly pass each other while on the tracks becuase Train B is gonna be done with 300 miles so its at the station, it takes 6 hours for the A to reach that station but train B left an hour earlier so that adds another hour

So 7 hours until the two trains meet

Answer:

At the end of the travilling distance and they will take 6 hours

Step-by-step explanation:

After one hour train A is 50mph far but train B is 0 mph. In 2 hours train A is 100 mph and train B is 60 mph. In 3 hours the distance between them is 30 mph. In 4 hours the distance between them will decrease to 20 mph. In 5 hours will be 10 mph the distance between them. So you can see both trains will meet each other at the end of travilling distance so they will arrived at the same time

Write down the number of lines of symmetry of this hexagon

Answers

Answer:

a) 1

b) 5

c) isosceles

Step-by-step explanation:

a) 1

b) 5

c) isosceles

Thank you

Help me please I’d really appreciate it right now .

Answers

Answer:

sales tax is $0.6

total cost is $20.60

Step-by-step explanation:

20*0.03=0.6

20*1.03=20.6

Describe and correct the error made in finding BC in the diagram

Answers

Answer:

AC is not equal to BC

AB=BC

Hope this helps !! Merry Christmas btw

a reindeer leaves the north pole flying east at 20mph. Another reindeer leaves the north pole at the same time flying west at 15mph. How long will it take them to be 700miles apart?​

Answers

Answer: well if they leave at the same time and one leaves 5mph faster than the other then...

Step-by-step explanation: ... it will take 15 hours for them to be 700 miles apart

the math teacher gives each student a map of the amusement park that use a coordinate plane the meeting locates is at(0,0) on the map each unit is 100 ft the first ride that you want to try is located at the coordinates (0,4) the next one is located at (3,0) if you walk in a straight line from the first ride to the second ride how many feet would you travel​

A.300 feet
B.400feet
C.500feet
D.700feet

Answers

Given:

Starting point = (0,0)

First ride = (0,4)

Second ride = (3,0)

In map, each unit = 100 ft

To find:

The actual distance between first and second ride.

Solution:

Distance formula: Distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get the distance between first ride and second ride in the map is

[tex]d=\sqrt{(3-0)^2+(0-4)^2}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

So, the distance between first ride and second ride in the map is 5 units.

We have,

1 units  = 100 ft

5 units = 500 ft

The actual distance between first and second ride is 500 ft.

Therefore, the correct option is C.

find the missing side length ​

Answers

Answer:

The length of the missing side is

[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]

Step-by-step explanation:

You could do Pythagorean theorem which is:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]

A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).

Answers

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

Find the slope and the y-intercept of the graph of y=4x−5.

Answers

Hi!

The equation we're working with is in slope-intercept form:

[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]

Where:

[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]

[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]

Cheers!

I hope that helped, have a wonderful rest of your day! :)

The slope of the line is 4 and the y-intercept of the line is -5.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,

y = mx + c

y = 4x - 5

Slope m = 4

Y-intercept = -5

Therefore, the slope of the line is 4 and the y-intercept of the line is -5.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Which of the following expressions are equivalent to 7.2 ÷ -8.1 ÷ -3.7?
Choose all answers that apply:

A. −7.2÷−8.1÷−3.7
B. −7.2÷8.1÷3.7
C. None of the above

Answers

Step-by-step explanation:

7.2 / (-8.1) / (-3.7) = Positive

A = (-7.2) / (-8.1) / (-3.7) = Negative

B = (-7.2) / (8.1) / (3.7) = Negative

Hence the answer is C, none of the above.

Answer: C

Step-by-step explanation: Khan

f(x)=5x−3 evaluate the function

Answers

if x=2. 5x2=10. 10-3=7. if input 2,output 7

what is 8:6 simplified

Answers

Answer:

4:3

Step-by-step explanation:

8/2=4

6/2=3

Answer:

its 43, or if your talking about fractions its 4/3

Plz help me plzzzz!!!!

Answers

Answer:

Definition of equilateral triangle

Step-by-step explanation:

All sides of equilateral triangles are equal.

Which statement about 272° is correct?

A. tan 272° < 0
B. sin 272° > 0
C. cos 272° < 0

Answers

Answer:

tan 272 < 0 is the correct answer

Step-by-step explanation:

Firstly, we need to understand the quadrant in which we have the angle

Mathematically, angle 272 is on the 4th quadrant

On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative

Hence, we have that tan 272 < 0

is the correct answer

Answer: A. tan 272° < 0

Step-by-step explanation:

Ap3x Approved


The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon

Answers

Answer:

the weight of that object on earth is 90N

then on moon it will be 90/6 = 15N

solve for x. x2-3[x-2]-4x=​

Answers

-5x+6
....................................

Convert 5,928 milliliters into liters.

Answers

Answer:

5.928 liters

Step-by-step explanation:

about 6 liters

Answer:

5.928

Step-by-step explanation:

1,000 Milliliters = 1 Liter

5,928/1,000 = 5.928

5.928 Liters

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8

Answers

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

[tex]y = \frac{1}{3}x[/tex]

Step-by-step explanation:

From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]

First, we calculate the slope of the above points

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

Where

[tex](x_1,y_1) = (2,4)[/tex]

[tex](x_2,y_2) = (3,1)[/tex]

[tex]m = \frac{1 - 4}{3 - 2}[/tex]

[tex]m = \frac{-3}{1}[/tex]

[tex]m = -3[/tex]

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute -3 for m

[tex]m_2 = -\frac{1}{-3}[/tex]

[tex]m_2 = \frac{1}{3}[/tex]

Lastly, we calculate the equation of the line using:

[tex]y - y_1 = m_2(x - x_1)[/tex]

The line segment has a midpoint at (3, 1)

So:

[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]

Open bracket

[tex]y - 1 = \frac{1}{3}x - 1[/tex]

Add 1 to both sides

[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]

[tex]y = \frac{1}{3}x[/tex]

Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]

Answer:

A. y = One-thirdx

Step-by-step explanation:

2020 Edge

write an equation of the line that passes through the given points. (3, 1), (0, 10)​

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

The image below shows proof that the equation y = -3x + 10 is the line that passes through the points (3, 1) and (0, 10).

Hope this helps! :)

Step-by-step explanation:

Make a graph and mark the points take the first number of each point and multiply them and your answer is three x.

Hey honey text me back please?

A triangle has three vertices located at A(-1, 2), B(-1, 5), and C(-4, 2). List the ordered pairs of the triangle after it has been translated four units to the right, reflected over the x-axis, and then rotated 90oclockwise about the origin.

Answers

Answer:

A’ is (-2,-3)

B’ is (-5,-3)

C’ is (2,0)

Step-by-step explanation:

We have three operations to perform;

a) translate 4 units right

means that we add 4 to the x-coordinate

b) Reflect over x-axis

If we reflect over x-axis;

(x,y) becomes (x,-y)

c) Rotate 90 degrees clockwise

(x,y) becomes (y,-x)

We have the following as the solution;

A( - 1,2)

Add 4 to x-coordinate

(3,2)

Reflect over x-axis

(3,-2)

Rotate 90 degrees clockwise

(-2,-3)

for B (-1,5)

Add 4 to x-coordinate

(3,5)

Reflect over x-axis

(3,-5)

Rotate

(-5,-3)

C; (-4,2)

Add 4 units to x-axis

(0,2)

Reflect

(0,-2)

Rotate

(2.0)

*BRAINIEST & 20 POINTS*

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 21

y = 114

Step-by-step explanation:

Here, we are to find the values of x and y

Mathematically;

3x - 15 + 6x + 6 = 180

reason for this is that opposite interior angles are supplementary, they add up to 180

9x-9 = 180

9x = 180 + 9

9x = 189

x = 189/9

x = 21

Also;

3x-15 + y + 18 = 180

Reason for this is that angles on a straight line are supplementary

Recall, x = 21

3(21)-15 + y + 18 = 180

63-15 + y + 18 = 180

y = 180-66

y = 114 degrees

Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making deposits to that account, when would the automatic payments make the value of the account zero? Write the equation using m for months that represents this scenario

Answers

Answer:

8 months

Step-by-step explanation:

Given that:

Amount of money present in the bank account = $2,571.68

Automatic monthly rental payments for car loan = $321.46

Any deposits in the bank account are stopped.

To find:

The number of months taken so that the automatic payments make the value of the account as zero?

Solution:

Let the number of months taken to make the value of the account zero = [tex]m[/tex] months

To find the value of [tex]m[/tex], we need to divide the total amount initially present in bank account with the monthly rental payment amount.

Therefore, the equation to find the value of [tex]m[/tex], can be written as:

[tex]m = \dfrac{2571.68}{321.46}[/tex]

On solving the above equation, we get the value as following:

[tex]\bold{m=8}[/tex] months

PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)

Answers

Answer:

The answer is y=8/3x-1

Step-by-step explanation:

7-(-1)/3-0

=8/3

y-y=m(x-x¹)

y-7=8/3(x-3)

y-7=8/3x-8

+7 +7

y=8/3x-1

please help!
Find x so that a || b

Answers

For number 2 do the same thing as number 1

96 + (6x -30) = 180 degrees

for number 3:  (6x - 30) = 84  

for number 4: (7x + 5) = 33 degrees

What is a equation of a line perpendicular to -x+2=y that intersects the line at (-1.5,3.5)

Answers

Answer:

y= x + 5

Step-by-step explanation:

i took the test

A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off. What is the price of the computer on
Black Friday? Please show your work and don’t forget the unit! Please round your answer to the nearest cent.
PLSSSS HELPPPP

Answers

Answer:

249.99-15%=212.49

Step-by-step explanation:

I did this yesterday

Brainliest me pls

Have a nice Day! <3

Answer:

$212.49

Step-by-step explanation:

You would divide 249.99 by 100 then multiply that by 85 becuase that is 15 less than 100 and makes it 15% less

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100 subscribers. This month, 303030 new members joined the website, and 101010 members cancelled their subscription.
How much money will Kiersten’s online business earn this month?
\$

Answers

Answer:

$1200

Step-by-step explanation:

Given that:

Monthly subscription fee = $10

Last month's subscribers = 100

THIS MONTH:

New subscribers = 30

canceled subscriptions = 10

Hence,

Total number of subscribers this month :

(Last month subscription + new subscriptions - canceled subscriptions)

(100 + 30 - 10) = 120 subscriptions this month

Hence, amount earned this month will be :

(Total subscriptions this month * monthly subscription fee)

120 * $10 = $1200

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