A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of change?

Answers

Answer 1

Answer:

Average Rate of change = 2

Step-by-step explanation:

Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.

To find - What is the rabbit's average rate of change?

Formula used -

Average rate of change of a function f(x) in an interval [a, b] is [tex]\frac{f(b) - f(a)}{b - a}[/tex]

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change = [tex]\frac{20 - 8}{7 - 1}[/tex]

                                         = [tex]\frac{12}{6}[/tex]

                                         = 2

Average Rate of change = 2


Related Questions

what is the perimeter of the trapezoid

Answers

Answer:

P = a + b + c + d

Step-by-step explanation:

Remember that perimeter is the measure of the outer edge of a shape, or otherwise, the sum of the measures of the sides of the trapezoid. Representing the perimeter by P, and the sides as a, b, c and d, our formula is P = a + b + c + d.

I need the answer to this ASAP

Answers

Answer:

x = 37

Step-by-step explanation:

These 2 angles are equal to each other because they're vertical angles:

2x = 74

2/2x = 74/2

x = 37

Answer:

The answer is 53

Step-by-step explanation:

74+2x=180

2x=180-74

X=106/2

=53 answer

Plz Mark it as brainliest answer

If you don't know the answer please don't "act" smart and put random things like links...
But if you do please Help, I'll mark as brainliest

Answers

It's physics, right?

A. will have box 2.

B. will have box 1

C. will have box 3

Answer:

Part A will be the 2nd line

Part B will be the 1st line

Part C will be the 5th line

*note* I don't know if these lines move as you move them so I getting these answers as if they do not move.

Step-by-step explanation:

Let's start with part A.

It says he rides quickly. This means that as the distance increases, the time will increase slower.

So we are looking for a steep line. The steepest lines are line 2, 3 and 4

We know it can not be the 4th line because these line shows that time is no longer moving, just the distance.

Since it is impossible to freeze time, line 4 does not make any sense. So let's look at line 2 and 3

This can be confusing because it says down hill. So you may think it is line 3. When Cole goes down the hill, he is getting further from home. This means the line has to go up.

So that means part A has to be line 2.

Now let's start with part B

When graphing distance and time, if someone stops, their line stops moving in one direction too.

If you stop moving, you are not gaining any distance but time still moves.

This means we are looking for a line that moves in only 1 direction. These lines are lines 1 and 4.

On line 1, only time is moving

On line 4, only distance is moving

So like I said before, it is impossible to move while time is not moving. So line 4 makes no sense again. Leaving us with line 1.

So part B is line 1

Now we will do part C

It says that Cole rides slowly.

This means the line will not be steep. He is also still moving so it can not be line 1.

So we have line 5 and 6.

Since he is still moving away from the house, the line has to go up in distance and time. So this eliminates line 6

This leaves us with line 5

So the answer to part C is line 5

Hope this helps and have a great day!

Did u ever figure it out ?

Answers

Answer:

no....... sadly i nerver figured it out... but im pretty sure the ansewr to the univers is 42

Step-by-step explanation:

There are (2^4)^2⋅ 2^0 books in a cupboard. What is the total number of books in the cupboard?
2^2
2^6
2^8
2^16

Answers

The answer would be 2^8

which equivalent form of g(x)=2x^2-12x-54 is the best form to find the zeros of the function?
a) g(x)=2(x-3)^2-72
b) g(x)=2(x^2-6x-27)
c) g(x)=2(x-9)(x-3)
d) g(x)=2x^2-18x+6x-54

Answers

Answer:

g(x)=2(x-9)(x+3)

Step-by-step explanation:

The force newton(N),between two particles is inversely propotional to the square of the distance ,d m,between them.When particles are 2metere apart,the force between them is 10 newton.Find the force between the particles when the are 5 metere apart

Answers

Answer: [tex]1.6\ N[/tex]

Step-by-step explanation:

Given

The force between the two particles is inversely proportional to the distance between them

[tex]\Rightarrow F\propto \dfrac{1}{d^2}[/tex]

When the distance is 2 m, the force is 10 N. For 5 m distance, it is

[tex]\Rightarrow \dfrac{10}{F_o}=\dfrac{5^2}{2^2}\\\\\Rightarrow F_o=10\times \dfrac{2^2}{5^2}\\\\\Rightarrow F_o=1.6\ N[/tex]

Thus, the force between them is [tex]1.6\ N[/tex]

Factor 16x+40y I don't know how to do this

Answers

Answer:

8(2x + 5y)

Step-by-step explanation:

You cant fact (take out) 8 from both 16 and 40 since 8 is a factor for both.

Step-by-step explanation:

=16x+40y

=8(2x+5y)

stay safe healthy and happy.

hey! please help i’ll give brainliest! if it lets me:)

Answers

Answer:

the answer is A

Step-by-step explanation: golf balls are lighter than bowling balls.

Answer:

first answer is correct answer

If 8 boxes of cereal cost $27.60, what is the price of one box?

Answers

Answer:

$3.45

Step-by-step explanation:

Let "x" repreesnt the cost of one box. If 8 = 27.60, 1 = "x". Set up a fraction, then solve;

[tex]\frac{8}{27.6}=\frac{1}{x}[/tex]

Step 1: Divide 27.6 by 8

[tex]27.60 \div 8 = 3.45[/tex]

Step 2: Multiply the result by 1

[tex]3.45 \times 1 = 3.45[/tex]

That means 1 cereal box costs 3.45 dollars.

hey! please help i’ll give brainliest

Answers

Answer:

occurred during the same period of time

Step-by-step explanation:

Answer:

Occurred in the same period of time

Step-by-step explanation:

"Studying" and "making" are both past tense, and the word "while" implies it was the same time period.

Hope this helps :)

Nate jumped 26 inches. Maria jumped 32 inches. How much farther did Maria jump than Nate?​

Answers

Answer:

6 Inches

Step-by-step explanation:

Subtract 26 from 32.

PLEASE HELP! ( no random links.)

Answers

Answer:

Maybe C.

Step-by-step explanation:

Answer:

The number of people that do not drive to work (Sorry if I'm wrong)

Step-by-step explanation:

The area of a rectangle is represented by the expression 2x2 + 10x + 12. Daniel is convinced that the dimensions of this rectangle could be (2x + 4) and (x + 3) or (x + 2) and (2x + 6). Do you agree or disagree with Daniel? Use words to justify your opinion.

Answers

Answer:

I agree with daniel

Step-by-step explanation:

Given the area of a rectangle expressed as;

A(x) = 2x²+10x+12

On factorizing;

A(x) = 2x²+6x+4x+12

A(x) = 2x(x+3)+4(x+3)

A(x) = (x+3)(2x+4)

since A(x) = l(x)w(x)

Hence the legnth and width of the rectangle are 2x+4 and x+3.

Also A(x) = 2x²+6x+4x+12 can be factorized as;

A(x) = 2x²+4x+6x+12

A(x) = 2x(x+2) + 6(x+2)

A(x) = 2x+6(x+2)

Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors

the mean of 4 8 9 x and 2x is 6 calculate the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

Mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

Thus;

( 4 + 8 + 9 + x + 2x)/5 = 6

(21 + 3x)/5 = 6

21 + 3x = 6(5)

21 + 3x = 30

3x = 30-21

3x = 9

x = 9/3

x = 3

Can someone please help me with math.

Answers

Answer:

29 is 6x^2+12+42

31 is 12x^5 -15x^3 = 30x^2

Step-by-step explanation:

cant do the rest sorry

Answer:

29.) 6x² + 12x + 42

30.) 4x - 4x²

30.) -x³ - 5x²

31.) [tex]12x^5-15x^3+30x^2[/tex]

32.) -3x³ + 6x² - 36x

Step-by-step explanation:

29. 6 ( x² + 2x + 7 )

* distribute the 6 to what's inside of the parenthesis *

6 * x² = 6x²

6 * 2x = 12x

6 * 7 = 42

6x² + 12x + 42

30. 4x ( 1 - x )

* distribute the 4x to what's inside of the parenthesis *

4x * 1 = 4x

4x * -x = -4x²

4x - 4x²

For some reason there is two number 30's

-x² ( x + 5 )

* distribute the -x² to what's inside of the parenthesis *

-x² * x = -x³

-x² * 5 = -5x²

-x³ - 5x²

31.) 3x² ( 4x³ - 5x + 10 )

* distribute the 3x² to what's inside of the parenthesis *

[tex]3x^2*4x^3=12x^5\\3x^2*-5x=-15x^3\\3x^2*10=30x^2\\12x^5-15x^3+30x^2[/tex]

32.) 3x ( -x² +2x - 12 )

* distribute the 3x to what's inside of the parenthesis *

3x * -x² = -3x³

3x * 2x = 6x²

3x * -12 = -36x

-3x³ + 6x² - 36x

Note: When multiplying variables with constants and exponents you add the exponents and multiply the constants

Ex. 3x² * 4x²

Multiply the constants ( 3 and 4 )

3 * 4 = 12

Add the exponents [tex]^2^+^2^=^4[/tex]

[tex]3x^2*4x^2=12x^4[/tex]

1) I am a 5 digit number 2) The digit in the hundreds place is a 3 3) The largest place value place is the ten thousands place 4) The digit in the tens place is one less than the digit in the hundreds place 5) The largest one-digit odd number is in the thousands place 6) The digit in the ten thousands place is greater than 0 but less than 2 7) When you add the digit in the tens place and the digit in the hundreds place, it equals the digit in the ones place

Answers

Answer:

19325

Step-by-step explanation:

not one hundred percent sure about the thousands place, but everything else is correct.

1) 5 digit number - 19325 is a 5 digit number

2) 19325 - 3 is in the hundreds place

3) Largest place value is 10000

4) 3 - 1 = 2  -  tens place equals 2

5) LARGEST one-digit odd number in the thousands place - 19325

6) 0<x<2 - 19325 is less than 2, greater than 0

7) 3 + 2 = 5  -  ones place equals 5

Please mark brainliest!

Question 12 (2 points)
✓ Saved
Which statement correctly describes an internet security issue?
Phishing is an illicit software program which unwittingly sends private account
information from a user's computer.
Spyware are individuals who attempt to get access to another person's computer
to harm it somehow.
phy
A virus is a harmful program that gets loaded onto a user's computer after
visiting an infected website.
O Hackers are attempts to deceive people into revealing personal information with
fraudulent emails and social media requests.

Answers

Answer:

Option D

Step-by-step explanation:

Hackers send fraudulent emails and social media requests to people and once a person clicks on any such link, the hacker gets the access to the device and in most of the cases, apart form leaking of personal details there has been problem of unethical money transfers/frauds.

Hence, option D is an internet security issue

As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor should she multiply both sides of the other equation so that she can add the equations and eliminate a variable?

5x + 6y = 18
2x – 3y = 12

Answers

Answer:

3

Step-by-step explanation:

First, we can start by multiplying the equation 2x - 3y = 12 by six to see where that gets us,

2x - 3y = 12 --> 12x - 18y = 72

12x - 18y = 72

5x + 6y = 18 (other equation)

We can notice that eliminating the y term would be the easiest to go about, so we want to find the number that we can multiply 6 by to get 18. That number is 3, so the factor is 3.

You can use the fact that non of 2 times 6 doesn't include 5 as factor.

There are two possible values of the factor by which if Yumiko multiplies the first equation and add the equations, a variable is eliminated.

Those values of the factor are [tex]3[/tex]   (for elimination of y) or [tex]-\dfrac{12}{5}[/tex] (for elimination of x)

How to find by what factor should we multiply the equations to eliminate a variable in a system of linear equations of two or more variables?

Our aim in doing so is to make the coefficients of same variable equal and with opposite signs so that when we add the equations, that variable gets eliminated because of coefficient becoming zero.

For example, take the given equations and the factor by which Yumiko multiplied the second equation.

5x + 6y = 18

2x – 3y = 12 => 12x - 18y = 72   (since she multiplied this with 6)

Let she multiply the first equation with factor "p"

Then we will have the system as;

[tex]p \times 5x + p \times 6y = p \times 18\\12x - 18y = 72[/tex]

Adding both the equations, we get:

[tex](5p + 12)x + (6p - 18)y = 18p + 72[/tex]

Since there are two variables and since any one of them can be eliminated depending on the value of p, thus we have two cases:

Case 1: Eliminated variable is x

Then we have coefficient of x = 0

or

[tex]5p + 12 = 0\\5p = -12\\p = -\dfrac{12}{5}\\[/tex]

Case 2: Eliminated variable is y

Then we have coefficient of y = 0

or

[tex]6p - 18 = 0\\6p = 18\\p = \dfrac{18}{6} = 3[/tex]

Thus, there are two possible values of the factor by which if Yumiko multiplies the first equation and add the equations, a variable is eliminated.

Those values of the factor are [tex]3[/tex]  or [tex]-\dfrac{12}{5}[/tex]

Learn more about system of linear equations here:

https://brainly.com/question/13722693

What is an equation of the form a b = c d b a ​ = d c ​ stating that two ratios are equivalent?

Answers

Answer:

true proportion

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

hope it helps ya.

Can you give me brainliest? please?.ت︎

Help 20 points helpppppppp math helps 20 points no linos or imma report you.
How can you use your results to decide if a triangle with side lengths 16​, 18​, and 34 is a right​ triangle?

Answers

Answer:

Not a right triangle

Step-by-step explanation:

We can figure out if it is a right triangle or not by using the pythagorean theorem.

a^2 + b^2 = c^2

In this case a and b are 16 and 18

In order for it to be a right triangle, c has to equal 34, in this problem.

16^2 + 18^2 = c^2

= 580^2

= [tex]\sqrt{580}[/tex] = 24.0832

Since 24.0832 does not equal 34, this is not a right triangle

money is invested in a saving account at 12% simple interest.after one year there is $1680 in the account. how much was originally invested?

Answers

Step-by-step explanation:

check the pic. I just sent

the answer is $1500

The originally invested price will be;

⇒ $1,500

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Money is invested in a saving account at 12% simple interest.

And, After  one year there is $1680 in the account.

Now,

Let the original invested amount = x

So, We can formulate;

⇒ x + 12% of x = 1680

⇒ x + 12x/100 = 1680

⇒ 112x = 1680 × 100

⇒ 112x = 1,68,000

⇒ x = 1,68,000/112

⇒ x = $1,500

Thus, The original invested amount = $1,500

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Confused on both any help for either?

Answers

Answer:

y = 5/4 x + 9

y = -5x+4

Step-by-step explanation:

a)The equation of the line in slope intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Given

Slope m = 5/4

y-intercpet = 9

Substitute

y = mx+b

y = 5/4 x + 9

b) Given the coordinates (0,4) and (2, -6)

Slope m = -6-4/2-0

m = -10/2

m = -5

Since the y intercept of the line is (0, 4), hence b = 4

Get the equation

Recall

y = mx+b

y = -5x +4

This gives the required equation

hii! please help asap. i’ll give brainliest

Answers

3 miles is the answer

Find the LCM of 2,10,and 6

Answers

Answer : LCM of 2,10,6 is 30 .

Answer:

Step-by-step explanation:

This reduction was drawn at a scale of 1 inch scaled to 4 feet actual. What is the actual height of the giraffe?

Answers

Answer:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Please help me!! Please!

Answers

Answer:

Step-by-step explanation:

The first answer choice is correct i ma 100% sure

Answer:

(-1.2,0.3)

Step-by-step explanation:

does this help you

Please help !!! Number 11

Answers

Answer:

C) 153.9 in²

Step-by-step explanation:

14 ÷ 2 = 7

π = 3.14

3.14×7×7 = 153.9 in²

hope this helps!

Answer:

answer should be 154 but 153.9 in sq is the closest.

we have to find the area right?

Round-Off 12579,18375 To The Nearest 10

Answers

Answer:

12579 nearest ten = 12580

18375 nearest ten =  18370

A car used
1/64
of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles
can the car travel using 1 gallon of gas?

Answers

Answer:

16 miles

Step-by-step explanation:

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