The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.

Answers

Answer 1

The distance in given time t is determined by substituting the value of time and solving the equation.

At 2 hours, the traveler is 725 miles from home.

At 3 hours, the distance is constant, at 880 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Given that,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

We have to determine,

Which times and distances are represented by the function?

According to the question,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

1. The starting distance at 0 hours is ;

At [tex]0 \leq t < 2.5[/tex]

Then,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]

The starting distance, at 0 hours, is 125 miles.

2. The distance at 2 hours is,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]

At 2 hours, the traveler is 725 miles from home.

3. The distance at t = 2.5 hours is,

At 2.5 ≤ t ≤ 3.5

D(2.5) = 880 miles (Fixed)

At 2.5 hours, the traveler is 880 miles from home.

4. The distance at t = 3 hours is,

2.5 ≤ t ≤ 2.5

D(3) = 880 miles

At 3 hours, the distance is constant, at 880 miles.

5. The distance at t = 6 hours is,

3.5 < t ≤ 6

[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]

The total distance from home after 6 hours is 1,062.5 miles.

For more details about Average distance refer to the link given below.

https://brainly.com/question/25969947


Related Questions

Help please
Simplify the difference quotient (f(x + h) − f(x) )/h if h ≠ 0.
f(x) = x2 + 38

Answers

Answer:

2x + h

Step-by-step explanation:

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]

= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]

= [tex]\frac{2hx+h^2}{h}[/tex]

= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

= 2x + h

Help...(MATH).......

Answers

If f(x) = √x and g(x) = 7x + b, then

f(g(x)) = f(7x + b) = √(7x + b)

If the plot of f(g(x)) passes through (4, 6), then

f(g(4)) = √(7•4 + b) = √(28 + b) = 6

Solve for b :

√(28 + b) = 6

(√(28 + b))² = 6²

28 + b = 36

b = 36 - 28

b = 8

Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

which multipilcation expression is equal to 2 over 5 divided by 2 over 3

Answers

Answer:

2/5 × 3/2

Step-by-step explanation:

Factorise the expression:21x+3xy+6x²​

Answers

Answer:

3x(7+y+2x)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

A. What is the largest number that divides evenly into 21x, 3xy, and 6x²?

It is 3.

B. What is the highest degree of x that divides evenly into 21x, 3xy , and 6x²?

It is x.

C. hat is the highest degree of y that divides evenly into 21x, 3xy, and 6x²?

It is 1, since y is not in every term.

D. Multiplying the results above,

The GCF is 3x.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]3x(\frac{21x}{3x} +\frac{3xy}{3x} +\frac{6x^{2} }{3x} )[/tex]

3)  Simplify each term in parentheses.

[tex]3x(7+y+2x)[/tex]

[tex]21x+3xy+6x^{2} = 6x^{2}+3xy+21x=3x.2x +3xy+3x.7 =3x.(2x+y+7)[/tex]

ok done. Thank to me :>

if the lines that comprise a system of equations have two different y-intercepts, is it possible that the system has infinitely many solutions?

Answers

Answer:

No, it is not possible.

Step-by-step explanation:

A system of linear equations with infinitely many solutions must meet at every single point. That means they have both the same y-intercept and the same slope. If either one of those are different, there cannot be infinitely many solutions.

-5 5/6 - ( -2 1/3 ) + 5 1/6

Answers

the answer is 1 2/3!

there are 64 female performers in a dance recital. the ratio of men to woman is 5:8 how many men are in the dance recital

Answers

Answer:

40

Step-by-step explanation:

64 female

ratio of men to women is 5:8

5x:8x

where 8x = 64

so x = 8

5(8):8(8)

40:64

So there are 40 men.

40 …. 64 women 40 men are in the dance

Which graph represents the function?

Answers

Answer:

First one ( top left)

This has an open circle at y = 3 which means the 3 is not included.

Then the y value of the second line equals the x value.

I believe it’s the top left one.

The two on the right are not correct because they use a closed dot for a strict inequality (the one without the line under it has the empty dot)

The bottom left one can’t be correct in my eyes because the second equation says that y (f(x)) equals x if x is greater than or equal to one. But the range of the numbers don’t go beyond (0,1).

The top left is inclusive of numbers that are greater than 1.

Let me know how it goes I am not the best at math

Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?

Answers

Answer:

Step-by-step explanation:

let price of Orange=x

price of Apple=2x

x+2x=20

3x=20

x=20/3

cost of Apple=2x=2×20/3=40/3=$13 1/3

Let Apple be 2x and y
According to question,
x + 2x = 20
3x = 20
x = 20/3
x = 6.6667
2x = 2 x 6.667 = 13.33

How i can answer this question?

Answers

It isn’t asking you to answer the question, all you need to do is simplify it

This is something called collecting like terms, for example, we’d combined both of the r terms

4r - r = 3r

And combine both of the constant terms

14 - 6 = 8


The final expression will be 3r + 6

Answer: 3r+8

Step-by-step explanation:

4r-r=3r

and 14-6=8

therefore it would be 3r+8

Every month a salary of ₹25,500.50 is deposited in Kavya’s account. How much money will she earn in a year?

Answers

Answer: 306,006

Explanation : If you multiple 25,500.50 by 12 (amount of months in a year) you will get the yearly outcome which is £306,006

Answer:

It's 306006

Step-by-step explanation:

It is 306006 because their is 12 months in a year and if you get 25500.5 dollars every month you multiply 25500.5 by 12.

I hope this was helpful!

The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.

Answers

Answer: 40 cm

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.  

So,

1/2 * (18*d2)= 360

18*d2= 360*2

d2= 720/18

d2= 40

A restaurant chain would like to measure the proportion of customers who are generally satisfied with the service provided by its staff. At the end of the meal, as the check is delivered to the table, the server asks those at the table to rate their satisfaction with the service provided as "Very Satisfied,” "Satisfied,” or "Not Satisfied.” During a one-week period, 147 customers were surveyed and 135 (93%) reported they were either Satisfied or Very Satisfied. How might the results be biased in obtaining an estimate of all customers who are satisfied with service?

Because of response bias, the survey results may overestimate the true proportion of satisfied customers.
Because of response bias, the survey results may underestimate the true proportion of satisfied customers.
Because of voluntary response bias, the survey results may overestimate the true proportion of satisfied customers.
Because customers were surveyed over a one-week period, the results should provide an accurate estimate of satisfied customers.


PLEASE HELP

Answers

Based on the information given regarding the bias, the correct option is A. Because of response bias, the survey results may overestimate the true proportion of satisfied customers.

From the information given, it can be depicted that the type of bias that's present is the response bias because the customers may not respond truthfully to the server.

Therefore, because of response bias, the survey results may overestimate the true proportion of satisfied customers. In this case, the survey will show a higher number of satisfied customers which isn't a true reflection.

Learn more about bias on:

https://brainly.com/question/24491228

Answer:

a

Step-by-step explanation:

I need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.


(a) How many calories is Pablo burning per minute?

(b) what is the slope of the graph?

Answers

5 calories per minute
1/2 is your slope.

Answer:

1. 5 calories per minute

2.1/2 is your slope.

Step-by-step explanation:

Find a degree 3 polynomial with real coefficients having zeros 4 and 4i and a lead coefficient of 1. Write P
in expanded form. Be sure to write the full equation, including P(x) = .

Answers

Answer:

P(x)= x^3 - 4x^2 + 16x - 64

Step-by-step explanation:

First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.

(x-4)(x+4i)(x-4i)

If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.

Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.

Answers

£45

300 x 0.05 = 15

15 x 3 = 45

A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.

Answers

Answer:

42inches

Step-by-step explanation:

Perimeter = 4s

where s is length of each side

when s is 10.5

Perimeter = 4 × 10.5

= 42

How to you get 28 from the numbers 3, 6, 2, and 8, while only using each number once?

Answers

Answer:

3x6+2+8=28

Step-by-step explanation:

3x6=18

18 + 2 = 20

20 + 8 = 28

Answer:

9 1/3 or 9.33, 28/6 or 4 4/6, 14 and 28/8 or 3 4/8

Step-by-step explanation:

( 1 ) The number 28 divided by 3 gives 9 1/3 or 9.33.

( 2 ) Using a calculator, if you typed in 28 divided by 6, you'd get 4.6667. You could also express 28/6 as a mixed fraction: 4 4/6.

( 3 ) 28 divided by 2 is 14.

( 4 ) Using a calculator, if you typed in 28 divided by 8, you'd get 3.5. You could also express 28/8 as a mixed fraction: 3 4/8.

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.

Answers

The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include

Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.

The operations performed on the triangle are the following

A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.

So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.

So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Learn more about transformations here:

https://brainly.com/question/17311824

What is the average rate of change for this quadratic function for the interval
from x= -5 to x= -3?
A. 16
ОО
B. -8
C. 8
D. -16

Answers

Answer:

hi the answer should be C or 8

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

The average rate of change is given by

f(x2) -f(x1)

---------------

x2-x1

x2 = -3  and x1 = -5

Looking at the graph

f(x2) = f(-3) = 1

f(x1)= f(-5) =-15

Substituting these values into the equation

1 - (-15)

---------------

-3 - (-5)

1+15

----------

-3 +5

16

----

2

8

The radius of a circle is 6 inches. What is the length of a 135-degree arc?

Answers

14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

Another viable method is to do 2pi*6*135/360=14.14

help help help help help

Answers

Answer:

i think the center (-7,6) and r = 7

What number is needed to complete the square?

x^2 + 3x + ?

Answers

The number needed to complete the square is 9/4

Given the expression x^2 + 3x + ?

Using the completing the square;

Step 2: Get the coefficient of x

The coefficient of x is 3

Step 3: Get the half of coefficient of x

Hale of the coefficient  = 3/2

Step 4: Take the square of the result

Square of the result  = ()3/2)^2 = 9/4

Hence the number needed to complete the square is 9/4

Learn more on completing the square here: https://brainly.com/question/1596209

what regular polygon has an interior angle of 156 degrees

Answers

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

Help Plssss it is due tommorrow!!!!!

Answers

Answer:

none of the other answera are correct

how do you solve 9r=3r+6

Answers

9r=3r+6
Subtract 3r from both sides
6r=6
Divide both sides by 6
r=1

Answer:

r=1

Step-by-step explanation:

9r=3r+6  

-3r -3r

6r=6

/6  /6

r=1

Check your answer:

9(1)=3(1)+6

9=9 ✔️

Please help I don't understand i'm in the lowest class.

Answers

Answer:

Step-by-step explanation:

the answer is
11
13
15
17
23

Does anyone know how to solve this? Please helppp, I’m so confused

Answers

Answer:

y = 65 degree

x = 50 degree

Step-by-step explanation:

I believe that’s right

The two angles in the isosceles triangle are 50 and 65 degrees .

An isosceles triangle has two equal sides and two equal angles.

Consider that the one angles in the triangle is x degrees and the bottom angle is 65 degrees.

Then we have:

65  = y

(The sum of all angles in a triangle is 180 degrees.)

Then Simplifying the equation:

65 + 65 + x = 1802

x = 180 - 65 - 65

x = 50 degrees

Therefore, the two angles in the isosceles triangle are 50 and 65 degrees .

Learn more about angles here;

https://brainly.com/question/13954458

#SPJ2

Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?

Answers

She can jump 4 times in 8 minutes
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