Julia 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 9 inches. Write an equation for L, L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit

Answers

Answer 1
Let's represent the length of the candle remaining unburned, in inches, t hours after the candle was lit as L. The rate at which the candle burns is 0.75 inches per hour, and its initial length was 9 inches.

We can write the equation for L in terms of t as follows:
L = 9 - 0.75 * t

This equation states that the length of the candle remaining unburned, in inches, t hours after it was lit is equal to the initial length minus the rate at which the candle burns, in inches per hour, multiplied by the number of hours that have passed.

For example, if t = 2, this equation becomes:
L = 9 - 0.75 * 2
= 9 - 1.5
= 7.5

This means that 2 hours after the candle was lit, it has 7.5 inches remaining unburned.

Related Questions

Explain three of seven phases of the impulse purchase cycle

Answers

Three of the seven phases of the impulse purchase cycle. The other phases include antecedent, search, and selection.

The impulse purchase cycle is a model that describes the process of making an impulsive purchase. It is typically divided into seven phases:

Antecedent: This phase is characterized by a need or desire for something. It can be triggered by a variety of factors, such as boredom, hunger, or a sudden craving for a particular product.

Search: In this phase, the consumer begins to actively search for a product that will satisfy their need or desire. They may search online or in physical stores, and they may consider various options before deciding on a product.

Selection: In this phase, the consumer narrows down their options and selects a specific product that they want to purchase. They may consider factors such as price, quality, and convenience when making their decision.

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John spread 45 minutes after school reviewing his notes before taking a 15 minute break for a snack. After that snack, he continues reading his notes for the other 30 minutes. What would you add to find the total time that John studied?

Answers

Answer:

its A

Step-by-step explanation:

Ben

Given that the measurement is in inches find the circumference of the circle to the nearest tenth use 3.14 for

Answers

The circumference of the circle is 25.12 inches

How to determine the circumference?

From the question, we have the following parameters that can be used in our computation:

Radius = 4 inches

The circumference of a circle can be calculated using

C = 2πr

Substitute the known values in the above equation, so, we have the following representation

C = 2 * 3.14 * 4

Evaluate

C = 25.12

Hence, the circumference is 25.12 inches

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what kind of sampling technique is this? a) random sampling. b) stratified random sampling. c) cluster random sampling. d) systemic random sampling. e) a combination of random, stratified and cluster sampling.

Answers

The resulting sampling technique is Stratified sampling.

As in the concept of statistical study, sampling methods refer to how we select members from the population to be in the study and if a sample isn't randomly selected, it will probably be biased in some way and the data may not be representative of the population.

Here we need to find the type of sampling method.

Here the Stratified random sampling involves classifying the units of the population into different strata.

And the give units in each stratum should possess similar characteristics which then allows the researcher to pick a sample from each.

Then the stratified sampling approach can be divided into proportionate stratified sampling and disproportionate stratified sampling

Therefore, these method is employed in cases where the population is heterogeneous.

So, option (b) is correct.

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Work out the base of a square with area,
A
= 64cm2.

Answers

Answer: 8cm

Step-by-step explanation:

Square root 64 to get 8

Answer:

8cm

Step-by-step explanation:

A base is either the length or the width of the square (doesn't matter because square has 4 equal lengthed sides). To find the area from the base, square it. To find the base from the area, square root it (inverse operations.)

[tex]\sqrt{64cm^2}[/tex]

8cm

Ticket to a baketball game can be ordered online for a et price per ticket plu a $5. 50 ervice fee. The total cot in dollar for ordering 5 ticket i $108. 0. Which linear function repreent c, the total cot, when x ticket are ordered? (A ervice fee i a ingle fee applied to the total, no matter the number of ticket purchaed). C(x) = 5. 50 20. 50x
c(x) = 5. 50x 20. 50
c(x) = 5. 50 21. 60x
c(x) = 5. 50x 21. 60

Answers

The function is: c(x) = 5.50 + 21.60x. This means that for each ticket purchased, an additional $21.60 will be added to the service fee of $5.50.

The total cost for ordering 5 tickets is $108.00. This means that each ticket costs $20.50 plus a service fee of $5.50.

Therefore, we can create a linear function that represents the total cost when x tickets are ordered. The function is: c(x) = 5.50 + 21.60x. This means that for each ticket purchased, an additional $21.60 will be added to the service fee of $5.50.

When x = 5, then c(x) = 5.50 + 21.60x = 5.50 + 21.60(5) = 108.00, which matches the given total cost.

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4
The volume of a spherical balloon (V=4/3pir^3) is increasing at a constant rate of 0.78 inches per minute. At the instant when the radius is 3.20 inches, the radius is
increasing at a rate of…

Answers

The rate at which the radius is increasing is; 0.006 in/min

How to find the rate of increase of radius?

We are given that the formula for the volume of  a spherical balloon is;

V = ⁴/₃πr³

where r is the radius

The volume is increasing at the constant rate of 0.78 inches per minute. Thus;

dV/dt = 0.78

Now, differentiating with respect to t gives;

dV/dt = ⁴/₃(3πr²)(dr/dt)

At radius of 3.2 inches, we have;

0.78 = 4π * 3.2² * dr/dt

dr/dt = 0.78/(4π * 3.2²)

dr/dt = 0.006 in/min

This is therefore the rate at which the radius is increasing.

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The Valdez family left at noon for a 4-hour trip to viit relative. They topped 1 hour for lunch and 2 hour to viit an amuement park. What time did they get to their relative' houe?

Answers

The Valdez family left at noon for a 4-hour trip to visit relative. They topped 1 hour time for lunch and 2 hour to visit an amusement park.The Valdez family would have arrived at their relative's house at 5 pm.

1. The Valdez family left at noon, so they had 12 hours to get to their relative's house.

2. They stopped for 1 hour for lunch, so they had 11 hours left.

3. They then stopped for 2 hours at the amusement park, so they had 9 hours left.

4. 9 hours later would be 9 pm.

5. However, since it is summer, the clocks are set to daylight savings time and it is currently one hour ahead, so the time is actually 5 pm.

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Hassan buys an apartment for $78 000.

After one year the value decreases by 5%.

Work out the new value of Hassan’s apartment.

Answers

Answer:

3900 is decreased.$74100 is new value

Step-by-step explanation:

5% of 78000 subtracted by 78000...

3x + 5 < 2x - 8 is:
all values more than -13.
all values less than -13. all values less than 3. all values less than -3.

Answers

Answer:

all values less than -13

Step-by-step explanation:

3x + 5 < 2x - 8

3x + 5 - 5 = 2x - 8 - 5  ==> isolate x by subtracting 5 on both sides

3x < 2x - 13  ==> simplify

3x - 2x < 2x - 2x - 13  ==> subtract 2x from both sides to move x to the left

                                         side of the inequality

x < -13  ==> simplify

Hence, the answer is all values less than -13.

Kayla works at a trampoline gym that hosts birthday parties. Parties are priced at $75 plus $12.50 per guest. Kayla rang up a customer who paid $200 for a party. How many guests were at the party?
Write and solve an equation to find the answer

Answers

Answer:

10 Guests

Step-by-step explanation:

200 - 75 = 125 (We need to find a number that will spend 125 dollars)

125 / 12.50 = 10

12.50 x 10 = 125

So the answer is 10

Jeremy's mother deposited $1,200 into a
savings account as a college fund when he
was born. How much will Jeremy have in
this account after 18 years at a yearly
simple interest rate of 4.25%?
A) $51.00
C) $918.00
B) $10,380.00
D) $2,118.00

Answers

Answer: D) $2,118.00

Step-by-step explanation:

1 year = 4.25% interest rate

18 years = 76.5% interest rate

76.5% = 0.765

Take 1200 times 0.765 = $918.00

$918.00 is the interest money he will receive after 18 years. We have to add both numbers to find the total.

$1,200 + $918.00 = $2118.00

One week, 100 tudent purchaed item from the tudent tore and the tore made a profit of $500. The next week, when 80 tudent purchaed item, the profit wa $460. Write a linear equation relating profit, to the number of tudent,

Answers

A linear equation relating profit, to the number of student is shown below.

y = 2x + 500

Linear equation is used to present the elements in mathematic. A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

To write a linear equation relating profit to the number of students, we need to find the slope and the y-intercept of the line.

The slope of the line can be calculated using the formula:

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

where (x1, y1) and (x2, y2) are two points on the line.

In this case, we can use the two data points given to find the slope:

slope = (460 - 500) / (80 - 100) = -40/ -20 = 2

The y-intercept of the line is the point where the line crosses the y-axis, which is the profit when the number of students is 0. In this case, the y-intercept is 500, since that is the profit when 100 students purchase items.

Using these values, we can write the linear equation in slope-intercept form:

y = 2x + 500

This equation can be interpreted as follows: the profit (y) is equal to 2 times the number of students (x) plus 500.

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Anil completes the 72km journey between Bristol and Cardiff in 48 minutes. He then drives 69km from Cardiff to Swansea at an average speed of 60km/h
Work out Anil's average speed (in km/h) for his total journey from Bristol to Swansea.
(with working out pls)

Answers

Answer:

75 km/h

Step-by-step explanation:

48 minutes = 48/60

(48 : 12)/(60:12)

4/5

0.8 hours


average speed between Bristol and Cardiff = 72/0.8 = 90 km/h


average speed of the journey = (60 + 90)/2 = 150/2 = 75 km/h

please answer I have limited time!!!!

Answers

Answer:

First second and third

Step-by-step explanation:

A function can only have one output for every input

Answer:

2, 3, 4

Step-by-step explanation:

an input can only have 1 output

Caroline drinks 2 cups of milk per day. She buys 4 quarts of milk. How many days will her 4 quarts of milk last?

Answers

Answer:

4 quarts of milk will last her 8 days.

We can solve this by finding how many cups are in a quart.

1 quart=4 cups

4 quarts= 16 cups

Since Caroline drinks 2 cups a day, divide 16 by 2.

16/2=8

4 quarts will last her 8 days.

Hope this helps! :D

Step-by-step explanation:

Use the image below to answer the identify the following: One pair of vertical angles: One pair of adjacent angles: One pair of supplementary angles:

Answers

A pair of vertical angles is; Angle 1 and Angle 4

A pair of supplementary angles are; Angle 2 and angle 1

How to identify angle properties?

Vertical Angles are defined as the angles that are opposite each other when two lines cross each other.

Two angles are defined as adjacent angles when they share the common vertex and side.

Two angles are defined as supplementary angles if they sum up to 180 degrees.

By those definitions above, we can say that;

Angle 1 & 2 as well as angle 3 & 4 are pairs of supplementary angles.

We can also say that;

Angle 4 and 1 are vertical angles while angle 2 and 3 are vertical angles as well.

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Jordan and Raj each bake 7 batches of muffins. Jordan makes 18 muffins per batch, and Raj makes 15 muffins per batch. They combine their muffins and put all of them into boxes. They fill as many boxes as possible with 6 muffins each. They place the remaining muffins in the last box. How many full boxes do they make, and how many muffins will be in the last box?

Answers

Answer:

38 full batch with a remainder of 3

Step-by-step explanation:

18*7 + 15*7 = 231

231/6 = 38 r3

A line passes through the point (9,
- 4) and has a slope of 3/4
Write an equation in slope-intercept form for this line.

Answers

y = 3/4x - 10 3/4 or y = 0.75x - 10.75

The scale below is balancedwhch meas they are equal

The addentical ball and small box weigh the same amount as the big box

How much does each ball weigh?

Answers

Answer:

x weigh of ball

2x+40=160

2x=120

x=60g

The solution is 60 grams

The size of each of the balls is given by the equation x = 60 grams

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the size of the balls be represented as = x

The number of balls = 2

So , the total size of the balls = 2x

Now , the equation will be

The weight of all the elements = 160 grams   equation (1)

The weight is balanced by = 40 grams + 2x   equation (2)

Now , equation (1) = equation (2)

Substituting the values in the equation , we get

160 = 2x + 40

On simplifying the equation , we get

Subtracting 40 on both sides of the equation , we get

2x = 120

Divide by 2 on both sides of the equation , we get

x = 60 grams

Therefore , the value of x is 60 grams

Hence , the size of the ball is 60 grams

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Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for 7, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Area :153.86 m

Circumference: 43.96 m

Step-by-step explanation:

Area: 3.14 x r^2

or, A= 3.14 x 7^2

Therefore, A= 153.86m

Circumference: 2 x 3.14 x r

or, C= 2 x 3.14 x 7

Therefore, C= 43.96 m

Hope this helps:)

(btw I put so much time and effort in this answer as it is hard to type mathematical problems in mobile, so I hope I can get marked as brainliest, I have written all the answer that needs to be written in an exam. Anyone can copy it and their work is done.)

Need help with this question

Answers

The figure S is translatation and then followed by rotation to map it into

figure T.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The figure S is translated (moved a fixed amount from the preimage)

and then followed by rotation(the preimage is rotated to create the final image) to map it into figure T.

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A parabola is the set of all points in the plane that are equidistant from a fixed point called the ____ and a fixed line called the ____ of the parabola.

Answers

Parabola is a set of all points in a plane that are equidistant from a fixed line (called directrix) and form a fixed point called focus.

7(3x+5)-11x simply the expression ​

Answers

Answer:

10x + 35

Step-by-step explanation:

7(3x+5)-11x

21x + 35 - 11x

10x + 35

5. The first five terms of a sequence are -7.7, -7.4, -7.1, -6.8, -6.5.
a. Find an expression for the nth term.

Answers

The expression of the nth term of the given sequence is

-7.7 + (n - 1)0.3

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

-7.7, -7.4, -7.1, -6.8, -6.5

This is an arithmetic sequence.

Now,

a = -7.7

d = -7.4 + 7.7 = 0.3

The nth term of an arithmetic sequence.

= a + (n - a)d

Now,

a + (n - a)d

= -7.7 + (n - 1)0.3

Thus,

The nth term is -7.7 + (n - 1)0.3.

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Write a system of equations and then solve by the method of your choice: substitution or elimination

Answers

There are 30 questions for 2 points and 10 questions for 4 point.

What is elimination method?

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.

Given that, the total number of equations is 40. Total point on the paper is 100 points.

There are two types questions, one type question contains 2 points and other type question contains 4 points.

Assume that, there are x questions for 2 points and y questions for 4 points.

The total number of questions is x + y.

The total point is 2x + 4y.

Therefore,

x + y = 40  ......(i)

2x + 4y = 100  .....(ii)

Multiply 2 with equation (i)

2x + 2y = 80

2x + 4y = 100

___________

       -2y = -20

Divide both sides by -2:

y = 10

Putting y = 10 in equation (i)

x + 10 = 40

x = 30

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helloo pls help me!!

Answers

Answer:

l = 2.55 meters

Step-by-step explanation:

Tunnels are usually in cylinder shape

Surface Area of Cylinder:

l = s/(2πr)

l = 48/(2π(3))  ==> plug in known values

l = 48/(6π)

l = 8/π  

l = 2.546 meters

l = 2.546 meters

l = 2.55 meters

when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same

Answers

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Write the following as an algebraic expression. Then
simplify.

The perimeter of a triangle whose sides are of
lengths 6x, 6x + 6, and x.

Answers

Answer:

[tex]6x + 6x + 6 + x = 13x + 6[/tex]

PLSSS HELPP ASAPPP
On the diagram below, a boat, represented by point A, is 450 feet away from a buoy, represented by point B. Another buoy is located at point C. The three points form a right triangle with the measure of <
A equal to 21.3°

Answers

The distance between two buoys by the trigonometric function will be 175.48 feet.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given situation is making a right angle triangle.

By tan trigonometric function,

tan21.3° = BC/450

BC = 175.48 feet

Hence "According to the trigonometric function, there will be 175.48 feet between two buoys.".

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