What is the rate of change

What Is The Rate Of Change

Answers

Answer 1

Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

[tex]\frac{0 - 0}{-2 - 2}[/tex]

Solve.

0 - 0 = 0

-2 - 2 = -4

[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0


Related Questions

John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at a speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?

Answers

The answer is 48 mph. You take the two numbers and add them. Then divide by two since there are two numbers. Then you should get the overall average.

Which of the following is the graph of y = sin(0.5x)?
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 24 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 1 cycle at 8 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Answers

Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Step-by-step explanation:

The function is y = sin(0.5*x)

We know that sin(0) = 0, so this graph must pass trough the point (0,0)

We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi

but in our case the function is valuated in 0.5*x

then the maximum is when:

0.5*x = pi/2

x = pi/(2*0.5) = pi

and the minimum is when

0.5*x = (3/2)*pi

x = 3*pi

Now, knowing that sin(2*pi) = 0

The other 0 of the sin is when we have 0.5*x = 2*pi

x = 2*pi/0.5 = 4*pi

this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."

Answer:

d

Step-by-step explanation:

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?

Answers

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44

Answers

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

Consider this right triangle with the given measures.

A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.

What is the length of the hypotenuse?

1.  52 + 122 =c2

2.  25 + 144 =c2

3.  169=c2


c=

Answers

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%

Answers

C would be the correct answer

Answer: B

Step-by-step explanation:

3 POINSSSSSS
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?

Experimental Probability. Theoretical Probability

P(odd) = % P(odd) = %

Answers

Answer:

see below

Step-by-step explanation:

Experimental means what actually happened

P(odd) = (number of 1 + number of 3 + number of 5) / total

           = (10+8+8) / 50

           = 26/50

           = 13/25 = 52%

Theoretical means  what we expect to happen

P (odd) = (number of 1 + number of 3 + number of 5) / total

             =(1+1+1)/6

             =1/2 = 50%

We rolled an odd just a little more than the expected amount of times

Answer:

yes

Step-by-step explanation:

it costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic costs $3 each. How many buckets can you buy at the clinic if you have $30 to spend?

Answers

Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.

Step-by-step explanation:

6 Buckets

If have $30.00-$12.00=18.00 just to attend the golf clinic.
$18.00 left divide that by $$3.00 =6 buckets

Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need

Answers

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.

A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft

Answers

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

The answer to 7/12 divided by 2

Answers

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?

Answers

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

please please help me ​

Answers

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters

Answers

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)

Answers

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

Measure of angle r is 22. Find the measure of angle 0

Answers

Is there a picture to this question

Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.

Answers

Answer:

0.80x dolllars

Step-by-step explanation:

20% discount of the total amount is

0.20 * x dolllars

So if you start with x dollars you need to subtract the discount to get the new (lower ) price.

x - (0.20 * x) dolllars

1* x - 0.20 * x

x * 1 - 0.20 * x

x * ( 1 - 0.20 )

x * ( 0.80 )

0.80x dolllars

one person has corona virus then ten more people catch it how many people have corona virus

Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1 - Person already infected

10 - People who got the virus

1 + 10 = 11

Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?

(Use 3.14 for Pi)

Answers

Answer:

3847

Step-by-step explanation:

To get your radius

diameter/2= 70/2=35.

Radius=35

Area=πr^2 =3.14x 35x35= 3846.5

approximately=3847

what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form

Answers

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

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

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. Why are the events are not independent?

Answers

Answer:

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question, we have that:

[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]

However

[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Answer:

C

Step-by-step explanation:

edg 2020

Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmate HAS snowboarded and let B be the event that a classmate HAS surfed.
If Alex picked a classmate at random, what is P(B/A) ?

A. 4/21
B. 3/4
C. 4/25
D. 25/28

Answers

Answer:

surburu

Step-by-step explanation:

Answer:

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I got this question correct. :)

A: SnowboardedB: SurfedP(B|A) = P(A and B) / P(A)

P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)

Amount surfed and snowboarded: 36Total amount snowboarded: 48

P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]

Apologies for lack of explanation, but I think this will do it.

Chloe purchased 4 apps online. She paid 6% in sales tax. Her total cost was $4.24. What was the price of each app, not including the sales tax?

Answers

The total price before tax is 4.24/1.06=$4

The price of each app was $1.

hi I need some help...
-6y + 17 = 3y -10

Answers

Answer:

y=3

Step-by-step explanation:

Solve by subtracting

[tex]-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\[/tex]

Divide.

[tex]-9y=-27\\y=-27/-9\\y=3[/tex]

Answer:

3

Step-by-step explanation:

Students measure objects in their desks and the data are shown in the line plot below. If the objects are to be connected end to end,what would be the total length?

Answers

This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.

Answer:

35/8 inches or 4 3/8 inches.

Step-by-step explanation:

Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.

The total length is calculated as: summation of the (Number of objects × Length of the objects)

= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches

=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches

= 35/8 inches or 4 3/8 inches.

Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.

* Approximate the value of V5 to the nearest hundredth.

Answers

Answer:

2.24

Step-by-step explanation:

If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24

I'm going to assume you mean √5.

√5 is not a perfect square but it can evaluated into a non-terminating decimal.

√5 = 2.23606797...

Round to the nearest hundredth.

2.23606797... → 2.24

Therefore, the answer is 2.24

Best of Luck!


The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.​

Answers

Amount of food in feeder at end is (16 - a) fl oz

Given that;

Amount of food in feeder in starting = 16 fl oz

Find:

Amount of food in feeder at end

Computation:

Assume;

a fl oz eats by animals

So,

Amount of food in feeder at end = 16 - a

Amount of food in feeder at end = (16 - a) fl oz

Learn more:

https://brainly.com/question/2567987?referrer=searchResults

Determine the slope and y-intercept. 4x + y = -10

Answers

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$93,996

Step-by-step explanation:

i = prt

i = ($53,712)(.15)(5)

i = $40, 284

$40, 284 + $53,712

$93,996

Answer:

$92996

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 53712 × 15/100 × 5

I = $40284

He has = 40284 + 53712 = $93996

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