Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 1 < x < 5.

Given The Function Defined In The Table Below, Find The Average Rate Of Change, Insimplest Form, Of The

Answers

Answer 1

Answer:

180

Step-by-step explanation:

Given The Function Defined In The Table Below, Find The Average Rate Of Change, Insimplest Form, Of The
Answer 2

The average rate of change, in simplest form, of the function over the interval 1 < x < 5 is 18.

Find the average rate of change?

The average rate of change is the change in the slope of the function, it is given by the formula,

[tex]\text{Average rate of change} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Given to us

y₂ = f(x₂) = 27

x₂ = 3

y₁ = f(x₁) = 9

x₁ = 2

Substitute the values in the formula,

[tex]\text{Average rate of change} = \dfrac{27-9}{3-2} = 18[/tex]

Hence, the average rate of change, in simplest form, of the function over the interval 1 < x < 5 is 18.

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Related Questions

Lines that are tangent to a circle are


Answers

Step-by-step explanation:

Lines that are tangent to a circle are perpendicular to the radius of the circle.

Lines that are tangent to a circle are congruent

is 2 = n – 3 an equation ?

Answers

Answer: yes

Step-by-step explanation:

An equation is any series of numbers properties such as addition and multiplication that includes an equal sign

Answer:

Yes

Step-by-step explanation:

It is because you can solve it

2=n-3

+3    +3

5=n

What is the value of s
9s + 29

Answers

Answer:

s = -3.222222222

Step-by-step explanation:

9s+29 = 0

9s = -29

s = -3.2222222222

1/2x-3=141 help me with this

Answers

Answer:

1/2x-3=141

so first add 3 from both sides:

1/2x=141+3

1/2x=144

next divide is 1/2 on both sides

x=144/(1/2)

x=288

Answer:

x= 288

Step-by-step explanation:

1/2x-3=141

-3+3 which cancels out and you do 141+3 which gives you 145

you are left with 1/2x=145

and you divide 145 by 1/2x and you get

x=288

i hope this is right

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why CDE OPQ?

Answers

Answer:

  A, B, C

Step-by-step explanation:

You are given one side congruent to its corresponding side, so eliminating postulates that require 2 sides: HL, SAS.

You are given all three angles congruent and one side (the hypotenuse), so any of these can be used:

  AAS, HA, ASA

What number must you add to complete the square?
x^2+12x=5

Answers

Answer:

36

Step-by-step explanation:

12/2 = 6

[tex]6^{2}[/tex] = 36

The smallest angle of a right triangle is 20 degree angle. What is the measure of the
medium angle?

Answers

Answer: 80

Step-by-step explanation:

Triangles equal 180 degree angle. 20 minus 180 is 160. 160 divides by 2 is 80. There are three sides to a triangle.

The answer would be 80

A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below.

Answers

Answer:

the answer is below

Step-by-step explanation:

We can conclude that both data set have the same interquartile range but different median because the median of Friday is greater than the median of Saturday.

What is a boxplot?

A boxplot is a type of chart that is used for the graphical representation of the five-number summary of any data set based on locality, skewness, and spread. Also, the five-number summary of a data include the following:

MinimumFirst quartileMedianThird quartileMaximum

From the given boxplot we can deduce the following points:

On Friday: Q₁ = 200, Q₂ = 215, Q₃ = 220 and IQR = 20.

On Saturday: Q₁ = 190, Q₂ = 205, Q₃ = 210 and IQR = 20.

Therefore, we can deduce that both data set have the same interquartile range (IQR) but different median because the median of Friday is greater than the median of Saturday.

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Find the area of the pyramid with a square base, but the area in square meters

Answers

Answer: 36

Step-by-step explanation:

What is the length of the Radius? Blank units

Answers

Answer:

12

Step-by-step explanation:

The measure of the radius of the circle C will be 12 units.

What is the arc length of the sector?

Let r be the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The central angle is 5π / 6 radian. And the arc length is 10π. Then the measure of the radius of the circle is given as,

10π = ((5π / 6)/2π) 2π r

Simplify the equation, then we have

5 = (5 / 12) r

r = 12 units

The measure of the radius of the circle C will be 12 units.

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A square prism has a base with a length of 23 centimeters. What is the area, in square centimeters, of the base of the prism?

Answers

Answer:

46 square centimeters

Step-by-step explanation:

A square's length and width is the same. So if you multiply 23 (the measurement of both the length and the width) by 2, you get 46, which is the answer.

35/1000 in simplest form

Answers

Answer:

7 over 200    i hope this helps!    :)

Step-by-step explanation:

7 over 200

35/1,000 = (35 ÷ 5)/(1,000 ÷ 5) = 7/200

Answer:

7/200

Step-by-step explanation:

1) Determine the GCF of 35 and 1000. In this case, the GCF is 5.

2) Divided 35 and 1000 by 5. This would be 7 and 200.

Thus the answer is 7/200.

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Why Mathematics Is a Language

Answers

Because mathematics is the same all over the world, math can act as a universal language. A phrase or formula has the same meaning, regardless of another language that accompanies it. In this way, math helps people learn and communicate, even if other communication barriers exist.

Change -25,49 to degrees, minutes and seconds

Answers

Final answer:

To convert -25.49 decimal degrees to degrees, minutes, and seconds, the answer is -25° 29' 24". This conversion involves separating the degree, multiplying the decimal part by 60 for minutes, and doing the process again for seconds.

Explanation:

To change the decimal degree -25.49 to degrees, minutes, and seconds (DMS):

Use the absolute value of the decimal degree since the minutes and seconds are always positive. The integer part is the degree. So, here we have 25 degrees.Subtract the integer part from the absolute value of the decimal degree and multiply the result by 60. The integer part of this new number is the minutes. For -25.49, it's 0.49 x 60 = 29.4 minutes. So the minutes are 29.Again, subtract the integer part from the product obtained in the previous step and multiply by 60 to get the seconds. We take the 0.4 part from 29.4 and multiply by 60, which equals 24 seconds.

The negative sign indicates the direction (west or south, depending on the context).

The answer is -25° 29' 24" (which might be west or south, depending on context).

a kitchen is shaped like a rectangle with dimensions of 4ft by 7ft. The floor of the rooms is made up of square tiles with a side length of 1/4ft what is the number of tiles that it will take to cover the floor

Answers

Answer:

112 tiles

Step-by-step explanation:

Area = 28ft sq

Tiles are 1/4 each sqft

We are working cube square inside cube ft square = 1 sq /4 (for multiplier).

= 4 x 28 = 112

112 x 0.25 = 28 to check.

112 x 0.25 x 4 = 112 is the multiplier to check again.

You have prizes to reveall
)) Does the point (8, 9) satisfy the equation y = x?

Answers

Answer:

no

Step-by-step explanation:

if y=x, then the for the x value of 8, the y value should be 8. but in this case it is 9, so it is not.

Please help me with #2.

Answers

Answer:

D

Step-by-step explanation:

please give me the brainliest answer if you can bc im trying to lvl up

Maria is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 ft and 8 ft in length. Which inequality describes the possible length.
A. 14> x > 8
B. 22>x> 6
C. 8< x < 14
D. 6 < x < 22

Answers

Answer:

D. 6 < x < 22

Step-by-step explanation:

For a triangle, the third side must be less than the sum of the other two sides and it must greater than the difference between the other two sides.

Final answer:

The possible length of the third side of the triangular pen, given the Triangle Inequality Theorem and two given side measures, is best described by the inequality D. 6 < x < 22.

Explanation:

To find the possible length of the third side of a triangle, we use the Triangle Inequality Theorem. The theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides. Here, we have the lengths of two sides as 14 ft and 8 ft.

So the sum of these two sides is 14 + 8 = 22 ft. The difference is |14 - 8| = 6 ft. Therefore, the length of the third side 'x' can range between the sum and the difference of the other two sides. Hence, the correct answer is D. 6 < x < 22.

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Which choice represents a non-linear function?
Pls help

Answers

Answer:

The answer is C.

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

A and B are incorrect because they are already in a slope-intercept form or can be converted to slope-intercept form, meaning they cannot be non-linear.

C is correct because the equation for it is y=x(-x) which results in a curved line when graphed.

D is correct because when graphed, it results in a "bent" line.

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the radius of the base of a cylinder is 39 in and it’s height is 33 in. find the surface area of the cylinder in terms of pi

Answers

Final answer:

The surface area of the cylinder, with a radius of 39 inches and a height of 33 inches, is calculated using the formula for the surface area of a cylinder. It amounts to a total of 7386pi square inches, separating the calculation into the lateral surface area and the area of the bases for clarity.

Explanation:

The question is about finding the surface area of a cylinder where the radius of the base is 39 inches and its height is 33 inches, all in terms of pi. To find the surface area of a cylinder, we use the formula: 2(pi)(r)(height) + 2(pi)(r)^2. Substituting the given values, we have 2(pi)(39)(33) for the surface area of the sides, and 2(pi)(39)^2 for the two circular ends.

Therefore, the total surface area in terms of pi is: 2(pi)(39)(33) + 2(pi)(39)^2. This simplifies to: 2562pi + 4824pi, resulting in a total surface area of 7386pi square inches.

This approach easily demonstrates the process of calculating the surface area of a cylinder by focusing on its geometrical components: the lateral surface area and the area of the two circular bases.

whats the answer?

a True, False, True
b True, True, True
c False, False, False
d False, True, False

Answers

Answer:

D

Step-by-step explanation:

Option d is correct because the first statement is false and the the remaining two statements are true.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane. They can also be stretched, or a combination of these transformations.

ABC is the original image.

A'B'C' is the new triangle formed by applying transformation to triangle ABC.

Triangle ABC is reflected across the x axis, followed by a translation 5 units left is true.

Triangle ABC is reflected across the y axis, followed by a translation 2 units is down.

Hence, option d is correct because the first statement is false and the the remaining two statements are true.

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HELP ME PLEASEEEEEEEEEE

Answers

Answer:

12/5

Step-by-step explanation:

Tangent = opposite/ adjacent

HELP!!
The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for x and round to the nearest tenth.)
O 314m2
O 62.8m2
78.5m? NA
O 125.6m2

Answers

Answer:

78.5 m

Step-by-step explanation:

Area of a circle: πr²

If the diameter of the circle is 10 inches, the radius is 5 inches.

5² = 25

3.14 x 25 = 78.5 m

What is the mode of the following numbers? 9,10,6,5,6.Please help me

Answers

Answer:

Mode is the most repeated value here we can see the most repeated value is 6, So it's mode is 6.

Answer:  The mode would be 6.  The mode is the number that occurs the most in a given data set.  When solving for mode, I arrange the numbers in ascending order so the most frequent number is easier to spot.

Step-by-step explanation:

9, 10, 6, 5, 6

5, 6, 6, 9, 10

In the second order of the numerals, the mode is much more obvious than in the first.  I also recommend highlighting or bolding the mode so transferring your work is easier.  There can be multiple modes if there are a few numbers in the set that occur the same amount.  There can also be no mode if all the numbers occur the same amount

A face of a solid is

Answers

Answer:

A flat (planar) surface

Step-by-step explanation:

Answer:

solid shapes have attributes like face,vertices,edges.

Step-by-step explanation:

flat surfaces enclosed by edges are called faces

Find the area of a rectangle whose length is 15ft and width is 8ft

Answers

Answer:

120 ft. sq

Step-by-step explanation:

You use the equation length times width to find the area. 15 x 8 = 120. This equation works for any rectangle

A restaraunt calls for 3 cups of flour for every 5 eggs how many cups of flour do you need for one egg?

Answers

Answer: 0.6 or 3/5 cups of flour for 1 Egg

Step-by-step explanation:

If you need 3 cups of flour for 5 eggs, one egg would mean that it would be 3/5 cups of flour. If you convert it into fractions, the answer would be 0.6 cups of flour for one egg.

Answer:

0.6 cups

Step-by-step explanation:

Create a proportion

[tex]\frac{3}{5}=\frac{x}{1}[/tex]

Cross multiply

3*1=3

5*x=5x

Divide coefficient on both sides

5x÷5

3÷5

Solve for x

x=0.6

students need to paint 500 pumpkins for the fair. They already painted 193. How many pumpkins are left to paint?

Answers

You would subtract the the amount painted from 500.
500-193=307
They have to paint 307 more.

Answer:

307

Step-by-step explanation:

total pumpkins = painted pumpkins + pumpkins to paint

500= 193+ pumpkins to paint

Subtract 193 from each side

500-193 = 193-193 +pumpkins to paint

307 = pumpkins to paint

Please help its due today :)))



The graph below plots the values of y for different values of x:

What does a correlation coefficient of −0.2 say about this graph?

x and y have a strong, positive correlation
x and y have a weak, positive correlation
x and y have a strong, negative correlation
x and y have a weak, negative correlation

Answers

Answer:

x and y have a weak, negative correlation

Step-by-step explanation:

the reason that is, is because since the points aren't in a approximate line it is considered weak. Since the line is going from left to right it is considered negative. (hope this helped :)

Answer:

d is correct

Step-by-step explanation:

I took the the test ;)

Which of the following is a logarithmic function?
y = log Subscript 3 Baseline x
y = 3 Superscript x
y = x + 3
y = x cubed

Answers

From the given options, the only logarithmic function is the first one:

y = log₃(x).

What is a logarithmic function?

We define the general logarithmic function, the natural logarithm, as the inverse of the exponential function, such that:

Ln(e^x) = x

And we can also have logarithms in other bases written as:

logₐ(x) = Ln(x)/Ln(a)

With that in mind, is easy to see that the only logarithmic function of the given ones is the first option:

y = log₃(x).

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The correct answer to the question is 'Option a: log3x', which is the only logarithmic function among the given choices.

The question is asking which of the following options is a logarithmic function. Let's analyze the given options:

Option a: [tex]log_3x[/tex] - This is a logarithmic function because it represents the log to the base 3 of x.Option b: [tex]y = 3^x[/tex] - This is an exponential function, not a logarithmic function.Option c: y = x + 3 - This is a linear function.Option d: [tex]y = x^3[/tex] - This is a power function.

Complete question :

Which of the following is a logarithmic function?

a. [tex]log_3x\\[/tex]

b. [tex]y = 3^ x[/tex]

c. y = x + 3

d. [tex]y = x ^3[/tex]

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