A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60|t − 1.25| shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
b. What is the average rate of change from 1.5 h to 2 h? What does the
average rate of change represent?

A Bus Is Traveling Between Two Cities Thatare In Neighboring States. The Graph Ofthe Function D(t) =

Answers

Answer 1

Answer:

(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b.

[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]

Answer 2

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)The average rate of change represent is 16.25 miles per hour.

What is a function rule? A functional rule is the relationship between an input or domain and an output or scope.A relation is a function only if it has a value within each domain value.Functions are written like where is the input value. The general form of the function is:A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)

s1 = d1/t1

15/1.5

s1 = 10 miles per hour

s2 = d2/t2

22.5 miles per hour

Average = 16.25 miles per hour.

To learn more about functions, refer

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Related Questions

Kaylee and her children went into a movie theater and will buy drinks and candies.
She must buy no less than 15 drinks and candies altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of candies purchased, c.

Answers

Answer:

c+d>15

Step-by-step explanation:

Usually there's more to the question.. the inequality doesn't look too right, but it could be.

Answer:

c+d>15

Step-by-step explanation:

Find f(2) if f(x) = (x + 1)^2

answer options:
a. 6
b. 9
c. 5
HURRY PLZZZ

Answers

Answer:

c

Step-by-step explanation:

Replacing x with 2, you get 5 as your answer

an estate valued at $75 000 is divided among three daughters Natasha, Natalie and Nadia in the ratio 5:8:2 respectively. Calculate the amount each receives ​

Answers

Answer:

Natasha: $25000

Natalie: $40000

Nadia: $10000

Step-by-step explanation:

5 : 8 : 2

5 + 8 + 2 = 15

$75000 ÷ 15

$5000

$5000 × 5 = $25000

$5000 × 8 = $40000

$5000 × 2 = $10000

what is the length of the missing leg?

Answers

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

Sam, a researcher, and his team conduct a study to examine the effect of WakeMe, an energy drink, on intelligence levels of people in a small town. The people from this town are randomly divided into two equal, representative groups. Members of one group, Group MW, are made to drink WakeMe and then take an intelligence test. Members of the other group, Group NoMW, are made to drink plain water packaged in WakeMe bottles and then take an intelligence test. In this scenario, ______ is the control group and the ______ is the experimental group.

Answers

Answer:

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

Step-by-step explanation:

The control group is the one which is not subjected to any testing situation or condition.

While the experimental group is the one which is subjected to testing condition.

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

(6 - i)(6 + i) multiplying complex numbers​

Answers

Answer:

[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]

10. A trapezold has a base of x and a helght of 3 units. If there is also a square with sides measuring x,
what formula would be used to calculate the total area of both figures (the ^sign represents the
exponent or power of the number): *
09x
Ox2
4x + x3
1x 2 + 3

Answers

Answer:

I Think 0x2 Or 4x + x3 I'm not 100% Sure

Step-by-step explanation:

I Tried..

The choices are
A. 2/13
B. 3/13
C. 5/13
D. 8/13

Answers

Step-by-step explanation:

The answer is A

Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?

Answers

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.

10) what is the area ratio
11) what is the area of RST
HELP ASAP EMERGENCY

Answers

9514 1404 393

Answer:

  10)  C 4/9

  11)  B 24

Step-by-step explanation:

10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...

  RS/LM = 6/9 = 2/3

Then the area ratio is ...

  (2/3)² = 4/9

__

11) Using the result of question 10, the area of ∆RST is ...

  (4/9)(54 in²) = 24 in²

Learning Task 2
Solve the following problems. (Show your complete solutions.)
1.) What is the sum of the interior angles of a polygon having 8 sides?
2.) Find the measure of the exterior angle of a regular decagon.
3.) Find the number of diagonals of a nonagon.
4.) What is the measure of each angle of a regular nonagon?
5.) if the sum of the measures of the angles of a regular polygon is 900, then
what is the number of sides?

Answers

Answer:

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

Step-by-step explanation:

1. The sum S of the interior angles of a polygon is given by;

S = (n-2) x 180°

Where;

n = number of sides of the polygon.

Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;

S = (8 - 2) x 180°

S = 6 x 180°

S = 1080°

Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°

2. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a regular decagon where the number of sides n = 10, the sum is;

S = (10 - 2) x 180°

S = 8 x 180°

S = 1440°

Since the decagon is regular, then each of its interior angles is given by;

1440° / 10

=> 144°

Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;

The exterior angle of a regular decagon is;

180° - 144° = 36°

Therefore, the exterior angle of a regular decagon is 36°

3. The number of diagonals N of a polygon with n sides is given by;

N = [tex]\frac{1}{2} n(n-3)[/tex]

So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;

N = [tex]\frac{1}{2}*9(9-3)[/tex]

N = [tex]\frac{1}{2}*9(6)[/tex]

N = 9(3)

N = 27

Therefore, a nonagon has 27 diagonals.

4. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a nonagon where the number of sides n = 9, the sum is;

S = (9 - 2) x 180°

S = 7 x 180°

S = 1260°

Since the nonagon is regular, then each of its interior angles is given by;

1260° / 9

=> 140°

Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°

5. The sum of the interior angles of a polygon is given by;

S = (n - 2) x 180°

So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;

900° = (n - 2) x 180°

Divide through by 180°

5 = (n - 2)

Solve for n;

n = 5 + 2

n = 7

Therefore, the regular polygon has 7 sides.

Amy is going on a 4 1 4 4 4 1 ​ mile hike. She has already hiked 2 3 4 2 4 3 ​ miles. How many more miles does she have left

Answers

Answer:

1 1/2 miles

Step-by-step explanation:

Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 ​ miles. How many more miles does she have left?

We solve the above question using the operation of Subtraction

The number of miles she has left is calculated by:

Total number of miles she must hike - Number of miles she has hiked

Total number of miles she must hike

= 4 1/4 miles

Number of miles she has hiked = 2 3/4 miles

Therefore:

The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles

Lowest Common Denominator = 4

4 - 2 + ( 1/4 - 3/4)

2 + (1 - 3/4)

2 + -2/4

1 2/4

= 1 1/2 miles

A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower​

Answers

Answer:

CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH

Step-by-step explanation:

sorry po

Chỗ hình chóp S.ABCD có đáy ABCD là hình vuông .SA=AB=2 SA vuông góc với đáy.Gọi T là điểm thoả mãn vector ST=1/2 vectơ AB tính thể tích khối đa diện ABCDST

Answers

Answer:

Step-by-step explanation:

Find the value of x and y. NEED HELP ASAP

Answers

Answer:

11) 2√3

12) 4√3

Step-by-step explanation:

11)

tg60 = 6/x

x= 6/tg60

x= 6/ √3

x= 2√3

12)

a2= (b)2 + (c)2

a2= (6)2 + (√3)2

a2= 36 + 12 = 48

a= √48

a= 4√3

I hope this helps you :)

Container A holds 5 bottles of water each with a capacity of 250ml. Container B
holds 7 bottles of water each with a capacity of 175ml. Which container holds
more water? Explain your answer.​

Answers

Answer:

Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Step-by-step explanation:

Since Container A holds 5 bottles of water each with a capacity of 250ml, while Container B holds 7 bottles of water each with a capacity of 175ml, to determine which container holds more water, the following calculation must be performed:

Container A:

250 ml x 5 bottles: Capacity

250 x 5 = X

1,250 = X

Container B:

175 ml x 7 bottles: Capacity

175 x 7 = X

1,225 = X

Therefore, Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

can someone pls finish this for me, ill give brainliest

What was the activity? Drawing Circles

How long did you spend doing your activity? 1 minute

How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute). Drew 29 circles

Which of these variables is your dependent variable?

Which one is the independent variable?

Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)


part 2

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time
(minutes)
0 0
1
2
3
4

Answers

Answer:

dependent variable: circles drawn

independent: time

the independent variable is what you control, which was the time spent. the amount of circles you were able to draw depended on the amount of time you had, so it was the dependent variable.

part 2:

if you drew circles at the same rate

0-0

1-29

2-58

3-87

4-116

hope that helped! lemme know if you need more

Anyone know how to skip a video on edge nuity???

Answers

Answer:

I dont think there is a way

Step-by-step explanation:

For the image below, state the line of reflection:

Answer choices:
y = -2

x-axis

y-axis

x = -1

Answers

Answer:20

Billions

Step-by-step explanation:

Answer:

Kjxiycdafgousdgkuafveligfasa

A=755y/t^2
Solve for y.

Answers

Answer:

y = At²/755

Step-by-step explanation:

A = 755y/t²

multiply both sides by t²

At² = 755y

Divide both sides by 755

At²/755 = y

Flip

y = At²/755

Please Help me. I get so confused doing these questions.

Answers

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)

Will rank the correct answer brainliest!

Answers

Answer:

Step-by-step explanation:

diameter=2*radius

=2*9

=18 in

given central angle=72 degree

arc length=central angle /360° *πd

=72/360 *3.14*18

=1/5 *56.52

=56.52/5

=11.304

Answer:

arc length=2πr×0.2

=2×3.14×9×0.2

=11.304 inch²

Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?

Answers

6250 is 5% of 125000

The angle of elevation to a nearby tree from a point on the ground is measured to be
44º. How tall is the tree if the point on the ground is 51 feet from the tree? Round
your answer to the nearest hundredth of a foot if necessary.

Answers

Answer: the tree is 49.25

Step-by-step explanation:

The height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.

What is angle of elevation?

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

For this case, referring to the attached figure below, we get:

Angle of elevation =∠ACB=44°

Distance of the base of the tree from the point of the ground = 51 feet

Height of the considered tree = h feet (assume).

Angle ACB denotes internal angle made by AC and CB line segments). It is the angle of elevation here, taking BC as horizontal line, and AC as elevated line.

Then, using the tangent ratio from the perspective of angle ACB, we get:

tan44°= h/51

h= 0.9657×51

h= 49.2507 feet

Therefore, the height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.

Learn more about tangent ratio here:

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Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.

Answers

Answer:

1/4 of the cost

Step-by-step explanation:

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?

Discounted price = 3/4 the original price

Each girl agreed = 1/3 of the cost

Amount each girl paid = 3/4 * 1/3

= (3 * 1) / (4 * 3)

= 3 / 12

= 1/4 of the cost

Amount each girl paid = 1/4 of the cost

Please help I put 100 points

Answers

Answers:

26 math problems

16 science problems

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

Work Shown:

m = number of math problems

s = number of science problems

Since "you have 10 more math problems than science problems", we can say m = s+10

Also, we can say m+s = 42 because there are 42 problems total.

Replace m with s+10, which is the substitution rule, and solve for s like so

m+s = 42

s+10+s = 42

2s+10 = 42

2s = 42-10

2s = 32

s = 32/2

s = 16

You have 16 science problems

m = s+10

m = 16+10

m = 26

and you have 26 math problems

To check this, we would say m+s = 26+16 = 42 which confirms the answer.

I cant see ur image.........

Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?​

Answers

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm


Gerald wants to buy a sweater that is $41.60 because it is on sale for 20% off

Answers

Answer: $33.28

Step-by-step explanation: 41.60x .20 = 8.32

41.60 - 8.32 = 33.28

Please help I really need it for a grade boost.

Answers

Answer:

I hope This will Help u.. Plz mark me as Brilliant please

Step-by-step explanation:

Before you get started, take this readiness quiz.

Simplify: 

If you missed this problem, review (Figure).

Solve Equations with Constants on Both Sides

In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.

Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.

By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.

Solve: 

Solution

In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.

Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.

Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.

The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .

Solve: 

Solve: 

Solve: 

Solution

Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.

Answer:

Division property of equality

Step-by-step explanation:

[tex] - 2m = 40[/tex]

[tex]m = \frac{40}{ - 2} [/tex]

[tex]m = - 20[/tex]

Hope it is helpful...

Simplify the following by collecting like terms.
c + c +c+c​

Answers

Answer:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

4c is c + c + c + c. You add all the like terms and make it a variable.
Other Questions
Write equation for the line that is perpendicular to the y axis and passing through (5,1) If you. This problem, show how to do itAUnderstood BUnderstandingCUnderstandsDUnderstand Question ProgressHomework Progress31/ 127 MarksThere are between 24 and 40 students in aclass.The ratio of boys to girls is 4:7How many students are in the class? Marian asked 25 students the following questions in a survey.1. Are you male or female?2. Do you wear glasses?Marian's results are shown below.There were a total of 15 female students who were surveyed. There were 17 students who wear glasses. Match each expression with its equivalent expression. a. 4x^2y^4b. 8x^2yc. 4x^2yc. 16xy^2 d. 8xy^21. 2xy2. 2y2x3. 2xy^24. 2x2y5. 4yx Helppp plzzzzz pointttttts DUE TODAY!!! PLS HELP IF YOU KNOW!!! In which of the following types of sentences is the simple subjectusually left out? Please help asap!!! Will give brainleist for the right answer Cars are obliged to stop when the traffic lights are red. 9. Mi familia y yo _______la msica.O escuchoO escuchaO escuchasO escuchamosO Other: What are the solutions of the equation x2 + 5x + 6 = 0? A. 3, 2 B. 6, 1 C. 6, 1 D. 3, 2 Is this correct!! Can someone verify!! This diagram represents chlorine monofluoride.The arrow shows that the bond between the chlorine atom and the fluorine atom is . The electrons in the bond are pulled , and the chlorine atom is . Discuss FIVE possible reasons why some people in your community do notparticipate in your campaign Using Venn diagrams, determine whether the arguments below are valid or invalid. (a) All professional athletes are rich. All rock stars are rich. Therefore, some rock stars are professional athletes. valid? invalid? (b) All bunnies are skittish. Some skittish animals have fur. All cows have fur. Therefore, cows are skittish animals. O valid O invalid (C) All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. O valid o O invalid d) All rectangles are quadrilaterals. All quadrilaterals are polygons. Therefore, all rectangles are polygons. O valid O invalid Which story premise contains the most conflict? Which part of the neuron below is indicated by the arrow, and what is its function?The long section of a neuron that includes structures that wrap around the neuron are indicated by the arrow.- The myelin sheath releases neurotransmitters so that electrical impulses can be transferred.- The myelin sheath protects and transmits electrical impulses faster.- The node of Ranvier transmits electrical impulses faster.- The node of Ranvier transfers information across a gap. The romantic movement in literature began as a reaction to Which statement best describes how people traveled within cities in the early eighteen hundreds people were able to move from place to place quickly even though their transportation options