A train travels at 100 milers per hour. An equation can be written that compares the time (t) with the distance (d). Define the domain and range​

Answers

Answer 1

Answer:

The domain is t ≥ 0

The range is D ≥ 0

Step-by-step explanation:

[tex]rate = \frac{distance}{time}[/tex]

D(t) = 100t + d₀

t is the time measured in hours.

d₀ is the initial position of the train.

We can assume the distance they go is not negative so...

The domain is t ≥ 0

The range is D ≥ 0


Related Questions

HELP ANSWER FOR 30 POINTS

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? ​

Answers

Answer: 72 cubic inches

Step-by-step explanation:

The formula for the volume of a cone: [tex]\dfrac{1}{3}\pi r^{2}h[/tex]

Formula for the volume of a cylinder: [tex]\pi r^{2}h[/tex]

We are given that a cylinder should fit exactly inside the cone

Upon comparing the two equations above, we get:

[tex]$$Volume of cone = \dfrac{1}{3}\text{Volume of cylinder}[/tex]

Since we are given the volume of cone is 24 cubic inches, we can write down the below:

[tex]24 = \dfrac{1}{3}\text{Volume of cylinder }\\ \text{Volume of cylinder = 72 cubic inches}[/tex]

Therefore, we can conclude that if the volume of the cylinder is 72 cubic inches, then the cone with volume of 24 cubic inches can fit exactly in.

Answer:

[tex]V_{cylinder}=72\:in^3[/tex]

Step-by-step explanation:

[tex]V_{cone}=24\: in^3[/tex] (Given)

It is given that: Cone fits exactly inside the cylinder.

[tex]\implies V_{cylinder}=3*V_{cone}[/tex]

[tex]\implies V_{cylinder}=3*24[/tex]

[tex]\implies V_{cylinder}=72\:in^3[/tex]

How do you find inverse functions?

will give brainliest to first helpful response

Answers

Answer:

swap x and y

Step-by-step explanation:

You can find an inverse function by replacing "x" and "y"

for example:

y = mx + b

becomes

x = my + b

if your equation is:

f(x) = 3(x²) - 3

{remember, f(x) means the same thing as y}

y = 3(x²) - 3

inverse:

x = 3(y²) - 3

this is it, hope this is helpful!!

Answer:

make every (x) a (y)

Which is true of dependent events?

a.) the probability of all dependent events can be calculated using the or formula

b.) you can use a two-way frequency table to calculate the conditional probability of events that are dependent.

c.) the outcome of one event has no effect on the outcome of a second event.

d.) you can find the and probability of dependent events using the formula

branliest to correct answer please no guessing

Answers

As per the attached picture Option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know the dependent events are dependent on what happened before.

Let A and B be dependent events:

Event B will be dependent on the Event A

P(A or B) = P(A) + P(B) - P(A and B)

Thus, option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

What is the size of the angle, below?​

Answers

Answer:

The size of the angle is between 180 and 360*. I cannot say the exact angle but my guess is correct and the correct answer is in between the 2 numbers.

Step-by-step explanation:

Find the area of the rectangle

Answers

Answer:

Option A = 1*3 = 3 unit²

[tex]area \: of \: rectangle \: = length \: \times breath[/tex]

[tex]length \: = distance \: between \: f \: and \: g \: or \: between \: e \: and \: h \: [/tex]

Distance between f and G = distance between E and H

F = (3,7)

G = (6,4)

H = (5,3)

E= (2,6)

= (3 units)

Distance between FE = GH

= 1 units

Area = 3* 1

= 3 units²

help please help me i beg you

Answers

I think it's C but also not completely sure good luck

What is the vertex of the function f(x)=|x-9|+2

Answers

Answer:

vertex = (9, 2 )

Step-by-step explanation:

given the absolute value function

f(x) = a |x - h | + k

with vertex = (h, k )

then

f(x) = | x - 9 | + 2

has vertex = (9, 2 )

5y + 3= 14

pleaseeeee help ​

Answers

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

Subtraction Property of EqualityDivision Property of Equality


First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

[tex]\frac{5y}{5} = \frac{11}{5}[/tex]

And we get 2.2

Please mark brainliest!

I hope this helps!

Have a great day!

Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT, Inc., which is not affiliated with, and does not endorse, this website. Copyright 2010-2022 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other partie. Which integer is the smallest ? A. -84 B. -4 OC . 34 OD . 24 Advanced Placement , AP AP Central " , College Board " , and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT , Inc. , which is not affiliated with , and does not endorse , this website . Copyright 2010-2022 edtell , LLC . All rights reserved . Portions of this software are copyrighted by other partie .​

Answers

Answer: B -4

Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.

The smallest integer among the options provided is option A, which is -84.

In the context of integers, smaller values are considered to be "less" than larger values.

In this case, we can compare the given integers to determine the smallest one.

Comparing the options:

A. -84

B. -4

C. 34

D. 24

Out of these options, -84 is the smallest integer because it has the lowest numerical value.

The negative sign indicates that it is a number less than zero, and the absolute value of 84 is greater than the absolute values of -4, 34, and 24.

Therefore, based on numerical value, -84 is the smallest integer among the options given.

Learn more about integer click;

https://brainly.com/question/490943

#SPJ7

Which expressions are equivalent to2 ( -6c+3) +4c

Answers

Answer:

-8c+6

Step-by-step explanation:

2(-6c+3)+4c = -12c+6+4c = -8c+6

Laboratory tests show that the lives of
light bulbs are normally distributed with
a mean of 750 hours and a standard
deviation of 75 hours. Find the
probability that a randomly selected
light bulb will last between 750 and 825
hours.

Answer in percentage!!!

Answers

Answer:  34%

This result is approximate.

=========================================================

Explanation:

mu = 750 = mean

sigma = 75 = standard deviation

The raw scores or x values are x = 750 and x = 825

Let's compute the z score for each x value

z = (x - mu)/sigma

z = (750 - 750)/75

z = 0

and

z = (x - mu)/sigma

z = (825 - 750)/75

z = 1

Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.

Use a z score table to determine that

P(z ≤ 0) = 0.5

P(z ≤ 1) = 0.84314 approximately

So,

P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)

P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)

P(0 ≤ z ≤ 1) = 0.84314 - 0.5

P(0 ≤ z ≤ 1) = 0.34314 approximately

The value 0.34314 then converts to 34.314% which rounds to 34%

Or you could use the empirical rule as shown below. The pink section on the right is marked 34% which is approximate. This pink section is between z = 0 and z = 1.

At Total Viewing, the
wholesale price of a 52-inch television is
$1.950. What does it cost to buy the
television if the store's markup is 15%?

Answers

Answer:

It would be 2242.5

Step-by-step explanation:

1950X0.15=292.5

292.5+1950=2242.5

Write an equation in slope intercept form with the given information.
Goes through points (-2,-5) and (3,5)

Answers

Answer:

infinity 2 is the slope for these point .

Step-by-step explanation:

given points are

(-2,-5) and (3,5)

comparison to

(x1,y1) and (x2,y2)

here ,

[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]

slope= 5-(-5)/3-(-2)

slope =10/5

slope=2

glad to help you this may help you :)

What is the common difference of the following arithmetic sequence?

{15,11,7,3,...}

Answers

Answer:

Solution : AP = 19 , 15 , 11 , 7 , 3.....

Common difference ( d ) = 15 - 19 = -4.

Answer:

The common difference is -4.

Step-by-step explanation:

Subtract a term from the next term.

11 - 15 = -4

The common difference is -4.

What is the length of side BC of the triangle?
Enter your answer in the box.

Answers

Answer:

28

Step-by-step explanation:

2x + 7 = 4x - 7

14 = 2x

x = 7

BC = 4x = 4(7) = 28

Find the perimeter of this figure.
22 in.
17 in.
12 in.
12 in.
30 in.
40 in.
? ] = inches

Answers

Answer:

133 inches

Step-by-step explanation:

First, you need to do 22 + 17 which is 39
Next, you need to do 39 + 12 which is 51.
Next, you need to do 51 + 12 which is 63.
Next, you need to do 63 + 30 which is 93.
Lastly, you need to do 93 + 40 which is 133.

Remember This:
Perimeter is adding up all the side lengths to get your answer.


I Hope This Helped :D

Answer:

133

Step-by-step explanation:

The zeros of a parabola are -4 and 2 and (6,10) is a point on the graph which equation can be solved to determine the value of a in the equation of the parabola

Answers

Answer:

Let consider the following linear equation systems by using the known points and second-grade polynomial:

(-1, 7)

a + b + c = 7a+b+c=7

(5, 7)

25\cdot a + 5\cdot b + c = 725⋅a+5⋅b+c=7

(6,10)

36\cdot a + 6 \cdot b + c = 1036⋅a+6⋅b+c=10

After some algebraic manipulation, the values for the polynomial coefficients are found:

a = \frac{3}{5}a= 53 , b = -\frac{18}{5}b=− 518

, c = 10c=10

The polynomial is:

y = \frac{3}{5}\cdot x^{2} - \frac{18}{5}\cdot x+10y= 53

Step-by-step explanation:

For complete solution see the above attachment!

In the diagram below, a sequence of rigid motions maps ABCD onto JKLM.
If m/ A = 76, m/ B = 110°, and m / L = 116, the m/ M ?

Answers

In the diagram, the value of the last angle will be 158°.

How to calculate the angle?

It should be noted that the total angle is a quadrilateral is 360°.

In this case, the value of the last angle will be:

= 360° - (76° + 110° + 116°)

= 360° - 302°

= 158°

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

A fishing gear shop from boulder, co bought $23,000 worth of fishing rods from a liquidator in pasadena, ca. the shop sold the fishing rods for $49,000, making a profit of $250 per fishing rod. there were __?__ fishing rods involved.

Answers

Subtraction is a mathematical operation that reflects the removal of things from a collection. The boulder.co bought 104 fishing rods.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the cost price of all the fishing rods is $23,000, also the selling price of all the fishing rod is $49,000. Therefore, the total profit from this transaction is,

Profit = $49,000 - $23,000 = $26,000

Since the profit on a single fishing rod is $250, while the total profit is $26,000. Therefore, the number of fishing rods can be written as,

Number of Fishing rod = Total profit/ Profit per rod

                                      = $26,000 / $250

                                      = 104

Hence, the boulder.co  bought 104 fishing rods.

Learn more about Subtraction:

https://brainly.com/question/1927340

#SPJ1

The gratuity on a restaurant bill was $18. If a 20% tip was left, what was the original amount of the bill?

Answers

The original amount of the bill is $90.

Given that, the gratuity on a restaurant bill = $18 and tip = 20%.

We need to find the original amount of the bill.

What is a gratuity?

A gratuity is a sum of money customarily given by a customer to certain service sector workers such as hospitality for the service they have performed, in addition to the basic price of the service.

The tip is directly proportional to the total cost

[tex]=\frac{18}{0.20} =x[/tex]

= $90

Therefore, the original amount of the bill is $90.

To learn more about the gratuity amount visit:

https://brainly.com/question/13326491.

#SPJ1

Help Me Uhm In 5th Grade I'm behind in school work and I have to finish by august when my school starts pls help I'm stuck on this question

Answers

B

To find the average you add them all up and divide by how many numbers there are. 2+3+6+13+16=40 There are 5 numbers so 40/5=8

A would be 7 and c would be 9, so the answer is b.

Are of quadrilateral

Answers

Answer:

Area of Quadrilateral = 289.57 sq.cm

Step-by-step explanation:

First of all, let us understand what is a Quadrilateral?

A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.

Given,

Length of sides :

AB = 7.5 cm

BC = 11.7 cm

CD = 15.6 cm

AD = 18 cm

and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.

It implies that the TRAINGLES BCD and BAD are Right angled triangles

So, the length of BD can be found using Pythagorean theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

From the Triangle of BCD,

a= BC

b=CD and

c= BD

Therefore, The length of BD =

c=[tex]\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }[/tex]

c = [tex]\sqrt{380.25}[/tex]

c = 19.5 cm

Hence, c= BD=19.5 cm

Now, Area of Quadrilateral =

1/2*(diagonal)*(sum of height of two triangles)

Here, Diagonal = Length of BD = 19.5 cm

Height (h1) = BC = 11.7 cm

Height ( h2) = AD = 18 cm

Therefore, Area = 1/2*19.5*(11.7+18)

                           = 289.57 sq.cm

Refer more about Area at below link:

https://brainly.in/question/2466686

#SPJ10

Determine the value of y, if x is 81.
Y=/x+6

Answers

The value of y for the given equation at x=81 is 87.

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given equation;

       y = x + 6

     Put x = 81, we get

       y = 81 + 6

      y = 87

Thus, the value of y for the given equation at x=81 is 87.

Learn more about Equations from:

https://brainly.com/question/2263981

#SPJ1

Calculate the middle number in the middle of 12.7 and 21.2.

Answers

The middle number is 16.95

What is Number system?

The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers.

Given:

Numbers are 12.7 and 21.2

Difference between number

= 21.2-12.7

=8.5

middle number

= 12.7+ 8.5/2

= 12.7+ 4.25

= 16.95

Hence, the middle number is 16.95.

Learn more about this middle number here:

https://brainly.com/question/17721191

#SPJ1

help please ……………………

Answers

Answer:

y = 20 , x = 30

Step-by-step explanation:

they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).

So y = 20

And x = 30

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
1 0 -1 -3
0 1 5
00 1
a.
X=-3
y--9
z-1
b. x-2
y=-9
N
I
T
C. X=-2
y--9
2-1
d. x-3
y=-9
2-1

Answers

The question is incomplete. Below you will find the missing content.

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

The correct option will be Option C: x=5t-3

y=4t-5

z=t

where t is the real number.

A matrix is in row echelon form when the first non-zero number from the left i.e. leading coefficient is always to right of the first non-zero number in the row above and rows consisting of all zeros are at bottom of the matrix.

The row echelon form of the matrix is given in the question.

from row-echelon form of the matrix, we can write the equation as,

x-5z=-3

y-4z=-5

Let's assume z=t, where t is the real number

now we can find x and y by putting z=t in the equation

x-5t=-3

⇒x=-3+5t

y-4t=-5

y=-5+4t

Now we get the solution of x,y,z in terms of t

x=5t-3

y=4t-5

z=t

where t is the real number.

So the correct option will be Option C: x=5t-3

y=4t-5

z=t

where t is the real number.

Learn more about row-echelon form

here: https://brainly.com/question/24036095

#SPJ10

62 divided by 8,694

Answers

Answer:

50.007131355

Step-by-step explanation:

A calculator lol?

A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week 29 shirts were sold. The number of shirts sold each week represents an arithmetic sequence.

What is the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n?

Answers

The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as

Answers

A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

A symmetric distribution occurs when the mean, median, and mode all occur at the same location and the values of the variables occur at regular intervals.The few low scores in a negatively skewed distribution tend to push the mean to the left, thus the mean is typically lower than the median.The mode is consistently less than the mean and median in a positively skewed distribution.A continuous probability distribution having two distinct modes, that is, two separate values with the highest and equal frequencies is referred to as a bimodal distribution.

Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

The given question is incomplete. The complete question is:

"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:

A. Symmetric distribution

B. Negatively skewed distribution

C. Positively skewed distribution

D. Bimodal distribution."

Learn more about data sets at

https://brainly.com/question/14802806

#SPJ4

A pair of jeans costs $58. They are on sale for 15% off. What is the discount and final price?

Discount = $ _._ _
Selling Price = $ _ _ . _ _

Answers

Answer:

Discount=$8.7

Selling price=$49.3

Step-by-step explanation:

First you need to write that in an equation form-

a/58=15/100

Then you need to do cross multiplication-

100a=58(15)

100a=870

Now divide 100 from both sides-

100a/100=870/100

a=8.7

Thats the discount rate

Now subtract that from the original price

58-8.7=49.3

Thats the price after the discount

Hope this helped :)

Other Questions
Now that you've started to think more about your topic, it's time to write your essay. Use the Process section to help you write a well-structuredresponse to the question you've picked.ProcessFollow the steps below to complete your essay, and use the links provided to assist with your research and writing. When you have finished youressay, use the drop box to submit it to your teacher.1. Gather sources. Begin by gathering additional sources C-either online or otherwise-to support the views you preeach source, consider these questions:Who authored the document?What is the purpose of the document?When was the document written?What significant historical event or movement does the document represent?2. Read and evaluate sources. Examine each source C and think about how you will use to support a thesis. Be an active researcher byasking the following questions about each source you reference:What is the credibility of the source? Is there any noticeable bias?How does the author form his or her argument?What important themes, main ideas, and arguments are presented in the document?3. Write your essay. Refer to your notes and the provided documents to write a short essay 2. Be careful to keep the following ideas inmind:To avoid plagiarism, make sure to cite your sources properly with in text citations E and a works cited page C.When you finish, reread the essay to check for all of the points above, and then proofread it to be sure your work doesn't containerrors in grammar or spelling.BY x % 15pxAVL'EEEFEEDSEB Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest? 3.14(a2 + ab) when a = 4 and b = 3 9. What happens to the food in the mouth? To follow recommendations for weight loss, one must expend 500-750 calories more than the amount taken in through the diet. This can be accomplished by increasing energy expenditure 200-300 calories a day through physical activity, and reducing dietary fat intake by ____________ calories. Susan is initially offered a new SUV for $24,000 and agrees to buy it. But when the sales manager comes back after getting some paperwork, he informs Susan that the SUV is actually $26,000, not $24,000 as she was told. The increase in price is due to several upgrades that the car company has installed, including tinted windows, navigation system, and satellite radio. This is an example of the _________ technique. Tobias notices that a particular kind of flower comes in many slightly different shades of pink. In other places, the same flower may be many shades of purple or even blue. He knows that some flowers' colors depend on where they are planted, while others' are determined by their breed. He hypothesizes that the different colors of these flowers are genetically different. Which of the following experimental setups is best for testing this hypothesis? Read the following excerpt and pay close attention to the words the author uses: Those who came before us made certain that this country rode the first waves of the industrial revolution, the first waves of modern invention, and the first wave of nuclear power, and this generation does not intend to founder in the backwash of the coming age of space. We mean to be a part of it--we mean to lead it. For the eyes of the world now look into space, to the moon and to the planets beyond. We have vowed that we shall not see it governed by a hostile flag of conquest, but by a banner of freedom and peace. We have vowed that we shall not see space filled with weapons of mass destruction, but with instruments of knowledge and understanding. In a paragraph of four to six sentences, identify three words or phrases with positive connotations and explain how these words influence the paragraph. Be sure to specifically answer the following questions in your response: What images or ideas are associated with each word? How do these words influence the meaning and tone of this passage? Use proper spelling and grammar in your response. The democratic partyWrite a speech about this partys solutions for the problems that confront the U.S. today.Your speech must include the following:a. A brief historical background on the partyb. A general description of your partys philosophy is regarding the role of government in American lifec. Choose two major issues (except immigration and military spending) and describe your partys positiond. An explanation of how your party justifies its position define the income elasticity of demand Every Sunday he hangs ____ with his friends The educational requirements for the majority local and state level law enforcements agencies across the country continues to be a ________________________________________. What is your objective when you are writing to inform?A. To show why the audience should agree with your opinionB. To share information without expressing your opinionC. To provide your opinion about new informationD. To learn new information about a specific subject Example of gender based violence in South Africa? Distinguish between the three patterns of alignment of states How effective is the author's response to the counterclaim that the job market for wind power is very limited?Effective; the author cites various fields of employment that are available in the wind power industry and supports the claim with a reputable source.Effective; the author presents a great deal of information regarding who benefits from wind power, including those seeking employment opportunities in the field.Ineffective; the author cites a source that is not reputable and facts that are unrelated to the counterclaim that the job market for wind power is limited.Ineffective; the author ignores the claim and provides unsupported evidence about the job market for wind power. Find the equation of a line that is perpendicular to Y= 4X +5 that passes through (2,-5) Write the relation as a set of ordered pairs. a. ordered pairs: {(3, 3), (0, 0), (2, 2)} b. ordered pairs: {(3, 3), (0, 0), (2, 2)} c. ordered pairs: {(3, 3), (0, 0), (2, d. ordered pairs: {(2, 2), (0, 0), (3, 3)} What is 60 percent of 92?1.535.5215.3O 55.249:03 mins pls help me with this The Pacific Garbage Patch is an area of ocean pollution mostly made up of _______.