The graph below plots a function f(x): 220 200 180 160 140 120 100 BO If x represents time, the average rate of charge of the function for in the first two seconds is___________.

The Graph Below Plots A Function F(x): 220 200 180 160 140 120 100 BO If X Represents Time, The Average

Answers

Answer 1

We have to calculate the average rate of change of the function f(x) in the first two seconds.

As the function is a line, the rate of change is constant and is equal to the slope, as the slope is defined as the quotient of the variation of y=f(x) and the variation of x.

Taking two point (x=0 and x=2), we will calculate the rate of change:

When x = 0, f(0) = 50.

When x = 2, f(2) = 100.

Then, we can calculate the slope (or rate of change) as:

\(m=\frac{f(x_2)-f(x_1)}{x_2-x_1}=\frac{100-50}{2-0}=\frac{50}{2}=25\)

The average rate of change between 0 and 2 is 25.


Related Questions

find the missing angle

find the missing angle

Answers

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Chase baked 4/5 dozen brownies in 3 hours ? What is her average of baking per hour ?

Chase baked 4/5 dozen brownies in 3 hours ? What is her average of baking per hour ?

Answers

Answer:

\(3\frac{1}{5}\)brownies per hour

Step-by-step explanation:

     Given parameters:

Number of brownies = \(\frac{4}{5}\) of a dozen

Time taken  = 3hrs

Unknown:

Average baking per hour = ?

Solution:

The average baking per hour;

    This is a rate problem;

     Average baking per hour = \(\frac{number of baking}{time}\)

Number of brownies = \(\frac{4}{5}\) x 12  = \(\frac{48}{5}\)

 Average baking per hour = \(\frac{48}{\frac{5}{3} }\)  

                                            = \(\frac{48}{5} x \frac{1}{3}\)

                                             = \(\frac{16}{5}\)

                                            = 3\(\frac{1}{5}\)brownies per hour

find the probability that a randomly selected point within the circle falls in the red shaded area 106

find the probability that a randomly selected point within the circle falls in the red shaded area 106

Answers

Answer:

0.29    

Step-by-step explanation:

Knowing that the shaded angle is 106 degrees, and a circle's angle total is 360 degrees, we will know what fraction of the circle is shaded by dividing the shaded region's angle by the angle of an entire circle:

106/360 = 0.29              

The fraction of the circle that is shaded is also the probability that a randomly selected point within the circle falls in the shaded region since we just divided the desired outcome by all of the possible outcomes.

A shark begins 172.5 meters below sea level and then swam up 137.1 meters,. Where is the sharks location now in relation to sea level

Answers

Answer:

35.4m below sea level

Step-by-step explanation:

172.5 - 137.1 = 35.4

The shark's location is now 35.4m below sea level.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 4 -2 = 2

Using the arithmetic operations of addition and subtraction, the shark's location is now in relation to sea level if the shark begins 172.5 meters below sea level and then swam up 137.1 meters.

Assume that distance below sea level is positive,

⇒ 172.5 - 137.1 = 35.4

Hence, the shark's location is now 35.4m below sea level.

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Which factored form of 10x + 120x + 320 reveals all the zeros of the function it defines?
A) 10(x + 6)^2 – 40
B) 10(x + 8) (x + 4)
C) 10x (x + 12) + 320
D) 10(x^2 + 12x +32)

Which factored form of 10x + 120x + 320 reveals all the zeros of the function it defines?A) 10(x + 6)^2

Answers

Answer:

b

Step-by-step explanation:

QUESTION 17. 1200 centimetres = metres.​

Answers

Answer:

12 Metres (Meters)

Step-by-step explanation:

5.607 is what percent of 89 step by step

Answers

Answer:

6.3%

Step-by-step explanation:

so 5.607 = x% * 89

to find the percent u need to divide : 5.607/89 which is : 0.063

to convert 0.063 to a percent multiply 0.063 by 100 = 6.3%

check :

6.3% *89 = 5.607

What’s the area? Please help :)

Whats the area? Please help :)

Answers

Answer:

252 sq. in.

Step-by-step explanation:

divide it into sections like this

12*15=180

3*6=18

6*9=54

then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.

Triangles DEF and D'E'F' are shown on the coordinate plane below: H F D D' 2 -8-7--5-4-3-2-1 1 2 3 4 5 6 7 8 T 20 F CO What rotation was applied to triangle DEF to create triangle D'E'F'?​

Answers

I’m ily Justin Bieber to get I
No

What is the probability a student scored less than 75%. The μ=75 and the σ=10
P (x < 75) = ____ + _____ = ______
PLEASE FILL IN THE BLANKS!

Answers

On solving the provided question we can say that As a result, the probability of a student P(x < 75) = 75 + (-75 ) =  0 .

What is probability?

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.

z = (x - μ) / σ

z = (75 - 75) / 10 = 0

That is, a raw score of 75 equates to a z-score of 0.

P(z < 0) = 0.5

As a result, the likelihood of a student scoring less than 75% is 0 or 0%.

So, P(x < 75) = 75 + (-75 ) = 0

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solve the question:-4x +5=13

Answers

Let's begin by identifying key information given to us:

\(\begin{gathered} -4x+5=13​ \\ \text{Add ''4x'' to both sides, we have:} \\ -4x+4x+5=13+4x \\ 5=13+4x \\ \text{Subtract ''13'' from both sides, we have:} \\ 5-13=13-13+4x \\ -8=4x\Rightarrow4x=-8 \\ 4x=-8 \\ x=-\frac{8}{4}=-2 \\ x=-2 \end{gathered}\)

i need the smallest value first

i need the smallest value first

Answers

Smallest value first  is -3

What is cubic equation ?

To plot the curve of a cubic equation, we need cubic equation formula. This formula helps to find the roots of a cubic equation. If the degree of the polynomial is n, then there will be n number of roots. The roots of cubic equation are also called zeros.

 \(x^3-x^2-9x+9\)

First factorize the polynomial to get;

\(\Rightarrow x^2(x-1)-9(x-1)\)

\(\Rightarrow (x-1)(x^2-9)\)

\(\Rightarrow (x-1)(x+3)(x-3)\)                           \(\because a^2-b^2=(a+b)(a-b)\)

So,  x = 1 ,x = 3  and x = -3

Hence, smallest value first  is -3

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Find the value of a and b in the following = a + b​

Answers

what is the question??

Evaluate:

3xy^2+7x-2y for X= -1 y= 3

Answers

Answer:

-94

Step-by-step explanation:

(3 (-1) (3))² + 7(-1) - 2(3)

-9² - 7 -6

-81 - 13

-94

hope this helps :)

CAN SOMEONE HELP WITH THIS QUESTION?✨

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

The marginal revenue is 909  dollars per unit.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

R(q) = -2q² + 1000q _____(1)

Where q is the unit sold.

Now,

Substitute q = 91 in (1).

R(q) = -2q² + 1000q

R(q) = -2 x 91² + 1000 x 91

R(q) = -8281 + 91000

R(q) = $82719

Now,

91 units = $82719

1 unit = 82719/91

1 unit = $909

Thus,

909 dollars per unit is the marginal revenue.

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yo yo buddy i got yo bro yo buddy i

yo yo buddy i got yo bro yo buddy i

Answers

Answer: \(=1\frac{111}{125}\)

Step-by-step explanation:

\(=1+0.888\)

\(=1+\frac{111}{125}\)

\(=1\frac{111}{125}\)

yuhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

PLEASE ANSWER FAST
How much power is required to lift a 240 N table up 3 m in 20 seconds?



A. 1600 W



B. 0 W



C. 36 W



D. 720 W

Answers

Answer:

I am not sure but the answer may be 36 w

Answer:

A.1600

Step-by-step explanation:

I hope its help keep safe

go to my page and answer my questions a lot of points pls and ty

Answers

I will do that thank you and have a good day

Answer:

ok will do

Step-by-step explanation:

a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()

= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =

relationship
(i.e., the diagonalization relationship) is a valid relationship.

a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing

Answers

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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(50 Points!) Choose ALL answers that describe the polygon.

A. Parallelogram

B. Quadrilateral

C. Rectangle

D. Rhombus

E. Square

F. Trapezoid

(50 Points!) Choose ALL answers that describe the polygon.A. ParallelogramB. QuadrilateralC. RectangleD.

Answers

The required shapes that describe the polygon;

Parallelogram, Quadrilateral, Rectangle, Rhombus.

What is polygon?

A polygon with four sides and four angles is called a quadrilateral. When two pairs of parallel sides are equal in length, it is a parallelogram. If all four sides are equal in length, it is a rhombus. If all four angles are equal and equal to 90 degrees, it is a rectangle. If both conditions of equal sides and equal angles are met, it is a square. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

According ot question:

In this case,

IJ || KL and JK || LI,

so it is a parallelogram.

Additionally,

since ZI≈ ZK and ZJ≈ ZL,

it can be concluded that the opposite sides are equal in length, making it either a rectangle or a rhombus.

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The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ​ft, the liquid boils at 199.42°F. At an altitude of 4700 ​ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2500 ​ft?
Write an equation.
b=nothing

Answers

Answer:

The boiling point of the liquid it 210.25°F

Step-by-step explanation:

Linear Modeling

Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)

Applying the formula:

\(\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)\)

Calculating:

\(\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)\)

\(\displaystyle B-199.42=-0.0019(A-8200)\)

\(\displaystyle B-199.42=-0.0019A+15.58\)

\(\displaystyle B=-0.0019A+15.58+199.42\)

The equation is:

\(\displaystyle B=-0.0019A+215\)

Finally, we calculate the boiling point at A=2500 ft:

\displaystyle B=-0.0019*2500+215

B = 210.25°F

The boiling point of the liquid it 210.25°F

Which number is less than it’s square?

9/10
12/11
15/16
13/13

Answers

The number which is lesser than its square is 12/11

What is a square number ?

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

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Which statement is true about the measure of angle R’??

Answers

Answer:

Angle R is an Angle

Step-by-step explanation:

This question has no photo or context

-2log (6x + 1) = -6.

Answers

the exact form is x = 333/2 the decimal form is x = 166.5

A line is perpendicular to y = 6x +3
and intersects the point (6, 1).
Find the equation for this line.
y-1=-(x-[?])

Answers

Answer:

1

Step-by-step explanation:

Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6

y=mx+b

y=-x/6 + b ==> plug in slope -1/6 into slope equation

1 = -6/6 + b ==> plug in x and y values into slope equation

1 = -1 + b

1 + 1 = -1 + 1 + b

b = 2 ==> solve for b

y = -x/6 + 2 ==> plug in the value of b into the equation

y - 1 = -x/6 + 2 - 1

y - 1 = -x/6 + 1

y - 1 = -(x/6-1) ==> answer: 1

Answer: 1 have a good day

Write an equation of the line with slope 2/3 and y-intercept -9

Answers

Answer:

y=2/3x - 9

Step-by-step explanation:

Zach is repainting his bedroom. The area of one wall is 96 square feet. The length of his wall is 12 feet. What is the height of Zach’s bedroom wall?

Answers

12.5 is your answer

Answer:

8 feet

Step-by-step explanation:

Let's start by remembering what we know about rectangles. The area of a rectangle is equal to the length multiplied by the height:

A = l x h

To find the height of the wall, we will divide the area by the length to isolate the unknown variable on one side of this equation:

h = 96/12 = 8 feet

Hope this helped!

A triangle has vertices of (-3,3),(-3,2), and (1,-2). What are the coordinates after dilating from the origin by a scale factor of 1/2?

Answers

Answer:

The coordinates after a dilating the triangle by a factor of 1/2 would be (-1.5, 1.5), (-1.5, 1) and (0.5, -1), respectively.

Step-by-step explanation:

Since we are dilating from the origin of the graph, (0, 0), all we need to do is multiply each vertex by the given scale factor.

find each angle measure to the nearest degree
Find m.
E
F
1.25 m
3 m
D
if correct will mark brainless :))

find each angle measure to the nearest degree Find m.EF1.25 m3 mD if correct will mark brainless :))

Answers

EF=2.73m;m<D

=65;m<F=25*

Hope this helps


HELP ME PLEASE I DONT KNOW WHAT TO DO!!!!!!!!

HELP ME PLEASE I DONT KNOW WHAT TO DO!!!!!!!!

Answers

Answer:

I would have to guess c because it show a decrease in the number line

Step-by-step explanation:

Step-by-step explanation:

ɪᴛs ᴛʜᴇ ʟᴀsᴛ ᴏᴘᴛɪᴏɴ D

ᴀs ᴛʜᴇ ᴅᴏᴛ ɪs ᴘᴏɪɴᴛᴇᴅ ʙᴇᴛᴡᴇᴇɴ -15 ᴀɴᴅ -20

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