Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2. (2 points)
-4
-2
2
4

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

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1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.

2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Question 1.

In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;

Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6

Mean number of text for Jada = 30/6

Mean number of text for Jada = 5.

Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6

Mean number of text for Diego = 36/6

Mean number of text for Diego = 6.

Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6

Mean number of text for Lin = 24/6

Mean number of text for Lin = 4.

Question 2.

In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;

Standard deviation = √(1/n × ∑(xi - u₁)²)

Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]

Standard deviation for Jada = √(6/6) = 1

Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]

Standard deviation for Diego = √(14/6) = 1.53

Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]

Standard deviation for Lin = √(76/6) = 3.6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

30

Step-by-step explanation:

just divide 720 by 24 (Hours in a day)

mark as brainliest please.

Answer: follow this you'll be able to solve it

Step-by-step explanation: mean = 98.11F

standard deviation = 0.56F

99.79 – 98.11 = 1.68 = 3 standard deviations

96.43 – 98.11 = –1.68 = –3 standard deviations

96.43F and ​99.79F are 3 standard deviations from the mean 98.11F.

By the empirical rule we know that 99.7% of the data lies within 3 standard deviation of the mean.

Approximately 68% of healthy adults in this group have body temperatures within 1 standard of the​ mean, or between 97.55F and 98.67F.

Answer: What grade work this is? Ima help you.

.Step-by-step explanation:

Answer:

thanswer to this is...................

Step-by-step explanation:

unknown

or 148 degrees

Answer:

148 degrees... if it's so easy then why u couldn't u answer it

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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Answer:

Y = 4

Step-by-step explanation:

5x-y=54

50-y=54

circle y and subtract 50 from itself then subtract 50 from 54.

after subtracting you should have y=4

The equation of the function model representing the price of a gallon of milk is: C. \(y = ab^x\)

A function model is an equation that defines the relationship between two variables.

Given the table, we have the following:

Initial cost (a) = 3

Annual increase in cost (b) = 1.04 at 4%

number of years = x

Therefore, the function model is expressed as: y = 3(1.04)^x

The equation used to model the price is: C. \(y = ab^x\)

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Answer:

34.50$

Step-by-step explanation:

30 * 0.15 = 4.50Then we add this surcharge (4.50$) to the base price of the ticket (30$) to get the total value of (34.50$).

Answer:

$34.50

Step-by-step explanation:

Handling surcharge = 15% of  30

                                  \(=\dfrac{15}{100}*30\)

                                  = $ 4.50

Total price  = base price + handling surcharge

                  = 30 + 4.50

                    = $ 34.50

The equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten is:

x*110 + y*29 = 333

We know that he consumed a total of 333 calories.

There are x chicken strips and y carrots, so we must have that:

x*110 + y*29 = 333

That is the equation in standard form that we must solve to find how many carrots and how many chicken strips he ate.

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66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.

67) The distance around a rectangle is called a perimeter.

The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.

When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.

For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.

As you return to school after the summer breaks, you decide how much savings you must spend. It is maths.  Any time calculations are involved, it requires maths.

Length of the yard = 24.75 feet

Width of the yard = 12.75 feet

Perimeter of the yard = 75 feet (24.75 + 12.75)2

Charges for a yard of iron fencing = $50 per yard

3 feet = 1 yard

75 feet = 25 yards (75/3)

The cost of 25 yards = $1,250

Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.

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Answer:

0.25

Step-by-step explanation:

0.52 is like 2 quarters

0.25 is 1 quarter

So, 1 < 2

Have a nice day! :)

Answer:

Hope you can understand my handwriting though

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

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The values of u and v in the table are directly proportional to each other with a constant k is 3.

When x increases, y increases; when x decreases, y decreases.

The opposite of direct is indirect. When x rises, y falls; when x falls, y rises.

If you said y is directly proportional to x,

it would be y/x=k or y=kx.

Here given that,

u = 0.25, 0.3, 0.1

v = 0.75, 0.9, 0.3

So here v = 3u

That is v = 3 x 0.25

v = 0.75

Hence u and v are directly proportional with a constant k = 3

When v = 2/5

To find u,

v = 3u

2/5 = 3u

u = 2/15

When u = 3/7

Then v = 3 x 3/7

v = 9/7

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The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

Step-by-step explanation:

heyy, what math do u need help with I can probably help

Answer:

bestie whats the question

Answer:

Here is the desmos graph

Step-by-step explanation:

The inequality expression in interval notation have a value of (-oo, -6) u (4, oo)

The inequality expression is given as

t + 1 < -5 or t + 1 > 5

To start with, we collect the like terms in the above expressions

This is represented as

t < -5 - 1 or t > 5 - 1

Evaluate; So, we have

t < -6 or t > 4

The above inequality expression cannot be solved further

So, we stop solving at this point

This means that the value of the inequality expression given as t + 1 < -5 or t + 1 > 5 is (-oo, -6) u (4, oo)

Next, we express it in interval notation

This is represented as follows

(-oo, -6) u (4, oo)

The number line representation is added as an attachment

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The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Answer:

0 . 4  =  2 / 5

Step-by-step explanation:

Answer:

-5 9/40

Step-by-step explanation:

Answer:

\(x = 5\)

Step-by-step explanation:

\(7x+16x-56=59\)

\(23x -56 = 5 9\)

\(2 3 x - 5 6 + 5 6 = 5 9 + 5 6\)

\(23x=115\)

\(\frac{23x}{23} = \frac{115}{23}\)

\(x = 5\)

the solutions of the following expressions are:

a) π/6

b) - π/6

c) - π/4

Trigonometry is the field of mathematics that deals with certain angles' functions and how to use such functions in computations. A common angle in trigonometry has six different functions. Sine, cosine, tangent, cotangent, secant, and cosecant are their names, respectively, as well as their acronyms.

The lengths, heights, and angles of various triangles are studied in relation to one another in mathematics. The field was created around the third century BC as a result of the use of geometry in astronomical research.

a)

tan ⁻¹ (√3/3)

= tan ⁻¹ (1/√3)

= tan ⁻¹ (tan π/6)

= π/6

b)

tan ⁻¹ (-√3/3)

= tan ⁻¹ (-1/√3)

= tan ⁻¹ (tan - π/6)

= - π/6

c)

tan ⁻¹ (-1)

= tan ⁻¹ (tan - π/4)

= - π/4

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The given transformation is

We have to apply this translation to each vertex.

Answer: Spotless soap < Bright wash < Lemon bright < lot of suds

Step-by-step explanation:

Given that 8 oz of Lots of suds cost = $0.98

Then unit price of 1 lot of suds = 0.98/8 = $0.1225

Given that 12 oz of Bright wash cost = $1.29

Then unit price of 1 Bright wash = 1.29/12 = $0.1075

Given that 30 oz of Spotless soap cost = $3.14

Then unit price of 1 Spotless soap = 3.14/30 = $0.104666666667

Given that 32 oz of Lemon bright cost = $3.50Then unit price of 1 Lemon bright = 3.50/32 = $0.109375

We also need to round the values to the nearest thousandth means three digits after decimal

Then unit price of 1 lot of suds = $0.123

unit price of 1 Bright wash = $0.108

unit price of 1 Spotless soap = $0.105

unit price of 1 Lemon bright = $0.109

Now we can easily sort them

0.105 < 0.108 < 0.109 < 0.123

respective names in sorted order are:

Spotless soap < Bright wash < Lemon bright < lot of suds

For the point-slope equation, we need the y-intercept and the slope of the line

From the graph, we can see that the y-intercept of the given line is '3'

To find the slope, we will take the line of the graph from (-2,0) to (0,3)

in between these points, we can see that the rise = 3 and the run = 2

Slope  = rise / run

Slope  = 3/2

Now making the point-slope equation

the general form of these equations is :

y = mx + b (where m is the slope and b is the y-intercept)

Therefore the equation is

y = (3x/2) + 3

The sketch of the front elevation and the side elevation of the prism are added as an attachment

From the question, we have the following parameters that can be used in our computation:

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Answer:

Graph B

Step-by-step explanation:

Graph B is not a function, because it fails the "vertical line test". Which means the plots that would be placed on the line intersecting the X axis would have the same X value, and X values CANNOT repeat when it comes to functions. So the Answer is B because the X Values would repeat if you were to write the coordinates of the points down.