The graph below shows the distance in miles, m, hiked from a camp in h hours.

Which hourly interval had the greatest rate of change?

1) hour 0 to hour 1
3) hour 2 to hour 3
2) hour 1 to hour 2
4) hour 3 to hour 4

The Graph Below Shows The Distance In Miles, M, Hiked From A Camp In H Hours.Which Hourly Interval Had

Answers

Answer 1

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = [tex]\frac{2-0}{1-0}=2[/tex]

For hour 2 to hour 3:

rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]

For hour 1 to hour 2:

rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]

For hour 3 to hour 4:

rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]

So, rate of change is greatest in interval: hour 0 to hour 1

Answer 2

The greatest rate of change between the interval 0 to 1 hour.

Given that,

The graph below shows the distance in miles, m, hiked from a camp in h hours.

We have to determine,

Which hourly interval had the greatest rate of change?

According to the question,

The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.

1. The rate of change between 0 to 1 hours is,

[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]

The rate of change between 0 to 1 hour is 2.

2. The rate of change between 2 to 3 hours is,

[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]

The rate of change between 2 to 3 hours is 1.

3. The rate of change between 1 to 2 hours is,

[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]

The rate of change between 1 to 2 hours is 1.5.

4. The rate of change between 3 to 4 hours is,

[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]

The rate of change between 2 to 3 hours is 1.

Hence, The required greatest rate of change between the interval 0 to 1 hour.

For more details refer to the link given below.

https://brainly.com/question/2137763


Related Questions

Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.

Answers

Answer:

B, C, and D

Step-by-step explanation:

of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

The graph of the quadratic parent function is:

A. It is a parabola.

B. It is in quadrants I and II.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

To check the characteristics of the quadratic parent function,

let us take the basic quadratic function : y = x²

Below is a graph for this parent quadratic function:

Currently, as shown on the graph below:

Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.

The graph is located in quadrants I and II.

So. These can only be the features of the quadratic parent function's graph.

Learn more about Parabola here:

https://brainly.com/question/1497381

#SPJ7

What is the solution to the system of linear equations?

{2x + 4y = 20
{3x + 2y = 26

Enter your answer in the boxes.​

Answers

Answer:

x = 8, y = 1.

Step-by-step explanation:

2x + 4y = 20

3x + 2y = 26      Multiply this equation by -2:

-6x - 4y = -52    Add this to the first equation:

-4x = -32

x = -32/-4

x = 8.

Plug x = 8 into the first equation:

2(8) + 4y = 20

4y = 20 - 16 = 4

y = 1.

Solve the following systems of equations using the substitution method. What is the value of a? 3a-5b=10 a+7b=12 A) a=5 B) a=6 C) a=1 D) a=7

Answers

Answer:

a=5

Step-by-step explanation:

3a-5b=10

a+7b=12

multiply the second row with -3

-3a-21b=-36 now we gonna add this to the first row

3a-5b=10

_________+

-26b=-26 b=1 now we gonna put in one of the equations to find a

a+7b=12

a+7.1=12 a=5

Answer:

i hope its clear . the answer is a = 5

Hello All,


Please look at attached.


They are Maths Questions.


I will give Brainliest and also give 15 points.

Please remember to ask me questions if you do not understand


Cheers,


Jake

Answers

Answer: (going down the table)

1) 5, 8, 6, 1

2) 2, 6, 10, 2

Step-by-step explanation:

count how many are in that bracket.

EG:

1) the amount of numbers between 5 and 10, including 5

etc

Wyatt has 222 one dollar bills, 222 five dollar bills, and 222 ten dollar bills. How much money does he have in all?

Answers

Answer:

$3,552.00

Step-by-step explanation:

First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.

Here's the equation in what I call "Long Boi Form:"

222x5=1110 222x10=2220 1110+2220+222=3552

Here's the equation in what I call "Short Boi Form:" [Use this only if you

know PEMADAS!!!]

222+(222x5)+(222x10)=3552

Answer:

b

Step-by-step explanation:

Will give brainiest answer

Answers

Answer:

144 cm²

Step-by-step explanation:

for the triangle sides: 3 x 4 = 12 ((3 x 4/2)x 2)

for the front: 5 x 11 = 55

for the back: 3 x 11 = 33

for the base: 4 x 11 = 44

12 + 55 + 33 + 44 = 144

Answer:

144 units²

Step-by-step explanation:

We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.

→ Area of triangle =  0.5 × Base × Height

→ Area of rectangle = Length × Width

First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's

Area of triangle =  0.5 × Base × Height

→ Substitute in the values

Area of triangle =  0.5 × 4 × 3

→ Simplify

Area of triangle =  6

Then double this value to find the combined value of the 2 triangle's

6 × 2 = 12

Now the area of the large rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 5

→ Simplify

Area of rectangle =  55

Now the area of the medium rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 4

→ Simplify

Area of rectangle =  44

Now the area of the small rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 3

→ Simplify

Area of rectangle =  33

Now we add all the area's together,

33 + 44 + 55 + 12 = 144

Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how

Answers

Answer:

y=46.445

x=24.04

Step-by-step explanation:

rule for first triangle which is  right isosceles triangle with angles 30-60-90

sin 30 = opp/hypt.

0.5= opp/34

opp=17 which is the height

the part of y in the first triangle = a^2+b^2=c^2

a^2= 17^2 , b^2=y , c^2 =34

y ( first triangle )= √867=29.445

second triangle is right angle triangle 45-90-45

x= 24.04

sin 45= opp/hypt.

1/√2 =17/x

x= 17*√2 = 24.04

solving for other part of y in the right triangle

h= y = 17

the whole base y= 29.445+17 = 46.445

What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles

Answers

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

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

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

Eric and Simon each go for a morning jog before work. Eric's jogging
pace is represented by the equation y=6x, where y is the number of
miles he jogs and x is the number of hours he jogs. Simon's pace is
given by the graph. Choose the statement that correctly compares their
unit rates.

Answers

Answer:

Simons pace is 2 more miles per hour more than eric's.

Step-by-step explanation:

Answer:

Simon's unit rate is 2 more miles per hour than Eric's unit rate

Step-by-step explanation:      D

A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?

Answers

Answer:

It will be in the 3rd quadrant.

Step-by-step explanation:

Hope that helps!

Answer:

The rotated figure appears in the 3rd quadrant

Step-by-step explanation:

To visualize a problem can sometimes be challenging.

It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.

Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.

Corner coordinates are therefore:

A =( 1, 0)

B =( 2, 0)

C =( 2, 1)

D =( 1, 1)

Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).

The new coordinates are:

A' =(-1, 0)

B' =(-2, 0)

C' =(-2 -1)

D' =(-1, -1)

These are all in third quadrant.

Therefore, the rotated figure appears in the 3rd quadrant

A marker was placed at an altitude that is 15 feet below sea level.
Enter the integer that represents this altitude.

Answers

Answer:

-15 below sea level

-Hope this helps! :)

Answer:

-15 below 0 :)

Step-by-step explanation:no u

which graph represents the function? NEED ANSWER ASAP 20 POINTS!!

Answers

Answer:

oof i have no clue

Step-by-step explanation:

sorry never learned this type of graphs good luck tho

how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10ft, what is the radius of the cylinder to the nearest tenth?

Answers

Answer:

=1.8

Step-by-step explanation:

R= Square root of volume/pie*height

R= 100/3.142*10

=100/31.42

=3.18


the square root of 3.18 is 1.78


1.78 rounded to the nearest tenth is 1.8

Which best describes how to solve the equation below ?

Answers

Answer:

C. Divide both sides by 26

Step-by-step explanation:

A doesn't make sense, B doesn't make very much sense, and D doesn't really make any sense. so the only answer that makes sense is C.

The answer: is C (mark brainliest )

Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made? The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0. The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.

Answers

Answer:

It’s actually C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Which function has a domain and range that includes all real values?

Answers

You're supposed to post all the photos in a single question.  Anyway, this is the one that has a domain and range of all real values.

We can see a domain of all real values -- there's no x that's not included.

We can see the range of all real values -- there's no y that's not included.

Answer:

I think its c...

Step-by-step explanation:

ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages

Answers

x   -  Ram's age now

Ram is half his father's age now, so his father's age is two times Ram's age:

2x  - Ram's father age now

x - 10   -  Ram's age ten years ago

2x - 10    - Ram's father age ten years ago

ten years ago he was one third his father's age so his father's age was three times Ram's age:

2x - 10 = 3•(x - 10)

2x - 10 = 3x - 30

-10 + 30 = 3x - 2x

20 = x

2x = 2•20 = 40

Answer:

Ram is 20 years old now, Ram's father is 40 years old now.

Which point best approximates √3?

A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Square root of 3 is between 1 and 2

1^2 =1

(sqrt(3)) ^2 =3

2^2 = 4

So it must be point B

Answer:

B

Step-by-step explanation:

pls help asap!! I dont get it

Answers

Answer:

All of the angles are 60°, because 180÷3 is 60. so the measure of angle b plus the measure of angle a and angle c is equal to 180°. The measure of angle a + 120° is 180

Answer:

See below

Step-by-step explanation:

a and 120 form a straight line so they add to 180

a + 120 = 180

Subtract 120 from each side

a = 180-120

a = 60

The sum of the angles of a triangle add to 180

b+ a + 60 =180

b + 60 + 60 = 180

b+120 = 180

Subtract 120 from each side

b = 180-120

b = 60

Are these rates equivalent?
25 minutes for 3$
1 hour for 6$

Answers

Answer:

no

Step-by-step explanation:

25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.

Answer:

no

Step-by-step explanation:

We can use ratios to see if they are equivalent

25 minutes        60 minutes

---------------- = -------------------

3 dollars           6 dollars

Using cross products

25*6 = 3 * 60

150 = 180

This is not true so they are not equivalent

Help please!!!! It geometry and i have no clue wht im doing

Answers

Step-by-step explanation:

21. supplementary angles (add up to 180°)

22. vertical angles (congruent)

23. vertical angles (congruent)

24. supplementary angles (add up to 180°)

25. supplementary angles (add up to 180°)

26. supplementary angles (add up to 180°)

27. supplementary angles (add up to 180°)

28. supplementary angles (add up to 180°)

29.

(complementary angles)

[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]

30.

(supplementary angles)

[tex]9x-4+4x-11=180[/tex]  

[tex]13x-15=180\\13x=195\\x=15[/tex]

31.

(vertical angles)

[tex]x-15=60\\x=75[/tex]

32.

(supplementary angles)

[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]

33.

(complementary angles)

[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]

Hope this helps!

Do masks increase or decrease the sales of breath mints?

Answers

increase, because people hate mask breath and having mints has helped them not having to smell horrible breath whilest wearing a mask
Increase because many people have bad breaths regardless. However with the masks you’re able to smell it more.

Points A B C and D lie on a line consecutively so that AB = BC = CD = 6in. Find the distance between the midpoints of segments AB and CD.

Answers

Answer:

Distance of segments AB and CD = 12

Step-by-step explanation:

AB+BC + CD = 6+6+6 = 18inch

midpoint AB = 6/2 = 3

midpoint CD =6/2 = 3

Midpoint AB+Midpoint CD = 3+3 = 6

To solve we just 18-6 = 12

Distance of segments AB and CD = 12

Answer:

its 12

Step-by-step explanation:

Distance of segments AB and CD = 12

Which statements are true regarding the quadratic statement?

Answers

Answer:

E

Step-by-step explanation:

I hope am right coz it seems most appropriate

A cylindrical tin of height 15 cm and radius 4 cm is filled with sand from a rectangular box. How many times can the tin be filled if the dimensions of the box are 50 cm by 40 cm by 20 cm?

Answers

Answer:

Volume of Box / volume of tin = number of tins required

Volume of box =50*40*20= 40000 cu.cm

Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm

4000/754= 53 tins (rounded off)

Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.

What happens when the supply of a nonperishable good is greater than the consumer wants to buy?

A. either the good remains unsold or the price drops

B. the good becomes a luxury and the price rise

C. either the good is saved for later sale or the price is raised

D. the good is discarded

Answers

Answer:

A. either the good remains unsold or the price drops

A. Rut r the good Ramains unsold or the price drops

Solve |4x +2|= 6
a.1 or -2
b.-1 or 2
c.1
s.2

Answers

Answer:

A

Step-by-step explanation:

When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2

Answer:

x =1   x=-2

Step-by-step explanation:

|4x +2|= 6

There are two solutions a positive and a negative

4x+2 = 6      and 4x+2 = -6

Subtract 2 from each side

4x+2-2 = 6-2      4x+2-2 = -6-2

4x = 4                     4x = -8

Divide by 4

4x/4 = 4/4            4x/4   =-8/4

x =1                            x = -2

Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
cash advances. What would the bank charge Esteban monthly in finance charges for a $700 cash
advance?

Answers

Answer: $14

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):

700 x (24/100) = $168 (a year)

To obtain the monthly charges, we have to divide the result by the number of months in a year (12):

168 /12 = $14

Feel free to ask for more if needed or if you did not understand something.

koperasi sekolah membeli 5 lusin buku tulis dengan harga 30.000 tiap lusin. dari hasil penjualan itu koperasi memperoleh untung sebesar 30.000, maka harga jual satu buah buku tulis adalah

Answers

Answer:

c

Step-by-step explanation:

Answer:

letter C

Step-by-step explanation:

sorry if it's copy

What is the vertex of the parabola given by y = x2 − 10x + 17? A. (5, -8) B. (-5, 8) C. (5, 8) D. (-5, -8)

Answers

Answer:

A

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 ), then

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 10x + 17 ← is in standard form

with a = 1 and b = - 10, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5

Substitute x = 5 into the equation for corresponding value of y

y = 5² - 10(5) + 17 = 25 - 50 + 17 = - 8

vertex = (5, - 8 ) → A

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