What is the average rate of change of y = 1/3 (x-6)(x-2) over the interval 0

Answers

Answer 1

Answer:

Step-by-step explanation:

The

average rate of change

of y over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

a

a

f

(

b

)

f

(

a

)

b

a

a

a

−−−−−−−−−−−−−−−

f

(

4

)

=

4

2

+

4

+

1

=

21

and

f

(

1

)

=

1

2

+

1

+

1

=

3

The average rate of change between (1 ,3) and (4 ,21) is

21

3

4

1

=

18

3

=

6

This means that the average of all the slopes of lines tangent to the graph of y between (1 ,3) and (4 ,21) is 6.

Answer 2

Answer:2

Step-by-step explanation:


Related Questions

I don’t know if it’s correct !!!!!!!!!! Please HELP !!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!!

I dont know if its correct !!!!!!!!!! Please HELP !!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!!

Answers

Answer:

wdym will mark brainliest

Step-by-step explanation:

oh the answer is

Can anyone help me out with this one?

Can anyone help me out with this one?

Answers

Answer:

HEy, dont every do tht

Step-by-step explanation:

Answer:

The value of X is 72

Step-by-step explanation:

corresponding angles

where in the world would you expect to have a relative humidity of close to 100%? what about close to 0%?

Answers

100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee

Answers

Answer:

Charyn's coffee is the dearest.

Difference per pound is $0.96.

Step-by-step explanation:

Price per pound = total price / pounds bought

For Danielle this

is  35 / 6 1/3

= 35 / 19/3

= 35 * 3 / 19

= $5.526.

For Charyn  this

is  60 / 9 1/4

= 60 / 37/4

= 60 * 4 / 37

= $6.486.

Difference = $0.96.

What do these (>, ≥, <, ≤) mean

Answers

Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.

Answers

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Smallest to biggest. 0.43,3/7,43.8%,7/16

Answers

Answer: 3/7 (Smallest), 0.43, 7/16, 43.8% (largest)

Step-by-step explanation:

0.43

3/7 = 0.4286

43.8% = 0.438

7/16 = 0.4375

A helicopter spots two landing pads in opposite directions below the angle of depression to pad A to pad B is 46 and 16 degrees respectively if the straight line distance from the helicopter to pad A is 5 miles , find the distance between the landing pads.

Answers

The distance between the landing pads is approximately 12.82 miles.

What is straight line?

A straight line is the shortest distance between two points in a two-dimensional space. It is a one-dimensional geometric object that extends infinitely in both directions.

Let's label the distance between the helicopter and Pad A as "x" and the distance between the helicopter and Pad B as "y". Also, let's label the distance between Pad A and Pad B as "d".

We can start by using the tangent function to find the height of the helicopter above Pad A:

tan(46) = h / x

h = x tan(46)

Similarly, we can find the height of the helicopter above Pad B:

tan(16) = h / (x + d)

h = (x + d) tan(16)

Since the helicopter is flying at a constant height, we can equate the two expressions for h and solve for d:

x tan(46) = (x + d) tan(16)

xtan(46) = xtan(16) + dtan(16)

d = x(tan(46) - tan(16)) / tan(16)

Substituting x = 5 miles and the values for the tangent functions, we get:

d = 5 (0.9851 - 0.2760) / 0.2760

d = 5 (0.7091) / 0.2760

d = 12.82 miles

Therefore, the distance between the landing pads is approximately 12.82 miles.

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HELP!
i picked the wrong answer and my reach won’t let me out the class until i get it right

HELP!i picked the wrong answer and my reach wont let me out the class until i get it right

Answers

Answer:

a

Step-by-step explanation:

A transversal interersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior angles (consecutive exterior) are 10w and 5v. What are the values of w and v?

Answers

Answer: \(v=6, w=15\)

Step-by-step explanation:

The pair of alternate interior angles are congruent, so \(5v=2w \implies 10w=25v\).

The consecutive exterior angles are supplementary, so

\(10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15\)

The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is
A. 119
B. 129
C. 135
D. 145

Answers

Answer:

C. 135

Step-by-step explanation:

2x^2/x + x(100-15x)

When x=5

2(5)^2/5 + 5{100-15(5)}

2(25)/5 + 5(100-75)

=50/5 + 5(25)

=10+125

=135

The number of tickets that an ice rink sold for the last three days were: 80 (day 1), 92 (day 2), 102 (day 3). Use the trend method to forecast for the sales (the number of tickets that can be sold) of the rink in day 4. Keep two decimals in all the intermediate steps and round your final answer to the closest integer. 80 102 288 113 None of the solutions is correct

Answers

The correct answer is 113. To forecast the sales of the ice rink on day 4 using the trend method, we need to determine the trend equation based on the given data points.

The trend equation represents the overall pattern or trend in the sales data and allows us to make predictions for future values.

First, we need to calculate the average increase in sales per day. The average increase is obtained by dividing the total increase in sales over the three days (102 - 80 = 22) by the number of days (3 - 1 = 2). Therefore, the average increase in sales per day is 22 / 2 = 11.

Next, we can use the average increase to forecast the sales for day 4. Starting from the last known sales value (102), we add the average increase to project the sales for the next day. Thus, the forecasted sales for day 4 would be 102 + 11 = 113.

Therefore, the correct answer is 113.

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The math club had 20 members. Now it has 30 members. Find the percent of change.

Answers

The membership increased from 20 to 30.

That's an increase of 10 members.

10 members is how much of the original 20 ?

10 members is HALF of the original 20.

The membership increased by HALF.

The membership increased by 50% .

2x+7+8x+12 simple thingg fy yeah-

Answers

Answer:

\(2x + 7 + 8x + 12 \\ collecting \: like \: terms \: \\ 2x + 8x + 7 + 12 \\ 10x + 19\)


3. When should points of intersection be included within the feasible region of a system of nonlinear inequalities
and why

Answers

Answer:

Points of intersection should be included within the feasible region (the solution set) of a system of nonlinear inequalities when the boundary lines that create the point are solid. A dashed line indicates that the points are not included in the solution set. Therefore, if one boundary line is dashed and one is solid, the point of intersection will not be included within the feasible region.

Step-by-step explanation:

Points of intersection should be included within the feasible region of nonlinear inequalities when the boundary lines that create the point are solid.

What is Inequality?

This is defined as an expression in which the sides are not equal to each other.

The presence of boundary lines which have dashed and solid ones, the point of intersection will not be included within the feasible region.

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5
Die
1 point
Which two expressions are equivalent?
15 : (4 + 1) and 15 : 4+1
5 - (x + 7) and 5 – (7 + x)
х
-
(12 – 8) – 4 and 12 – (8 – 4)
2: (3 - 11) and (3 – 11) - 2

5Die1 pointWhich two expressions are equivalent?15 : (4 + 1) and 15 : 4+15 - (x + 7) and 5 (7 + x)-(12

Answers

Answer: if you answers my question ill answer this

Step-by-step explanation:

pleade

Answer:

Option B is correct

Step-by-step explanation:

Both expressions are the same, but the x and the 7 in the parentheses are flipped. Since they are in closed parentheses, this does not affect the outcome of the expression at all.

w^{2} =49 solving equations using square roots

Answers

Answer: w = ±7

Step-by-step explanation:

To get rid of the square on w, we square root both sides of the equation.

The square root of w^2 is w, and the square root of 49 is ±7.

±7 is your answer.

Find the vertices of the hyperbola: 4(x−1) 2 − 1(y+2) 2 =1.

Answers

To find the vertices of the hyperbola given by the equation 4(x−1)^2 − (y+2)^2 = 1, we can compare it to the standard form equation of a hyperbola:

(x-h)^2/a^2 - (y-k)^2/b^2 = 1

From the given equation, we can see that h = 1, k = -2, a^2 = 1, and b^2 = 4.

The center of the hyperbola is at the point (h, k) = (1, -2).

The vertices of the hyperbola are located on the transverse axis, which is the line passing through the center and perpendicular to the conjugate axis.

The length of the transverse axis is 2a.

In this case, since a^2 = 1, we have a = 1.

So, the distance from the center to each vertex along the transverse axis is a = 1.

The vertex on the right side of the center is obtained by adding a to the x-coordinate of the center:

Vertex1: (1 + 1, -2) = (2, -2)

The vertex on the left side of the center is obtained by subtracting a from the x-coordinate of the center:

Vertex2: (1 - 1, -2) = (0, -2)

Therefore, the vertices of the hyperbola are (2, -2) and (0, -2).

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2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π

Answers

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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A bakery sold a total of 200 cupcakes in a day, and 86% of them were mocha flavored. How many of the cupcakes sold that day were mocha flavored?

Answers

Answer:

172

Step-by-step explanation:

200 x 0.86 = 172

172 cupcakes sold were of mocha flavoured.

What is Percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a bakery sold a total of 200 cupcakes in a day, and 86% of them were mocha flavoured.

Let the number of mocha cupcakes sold are x,

Therefore, 86% of 200 = x

x = 200*86/100

x = 2*86

x = 172

Hence, the number of mocha cupcakes sold were 172.

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Understanding the Concept of a Limit

Understanding the Concept of a Limit

Answers

Answer:

D) DNE

Step-by-step explanation:

Because of the jump discontinuity located at (2,3) when x=2, h(2) is defined, but lim x->2 h(x) isn't defined. If it were a continuous function, then we can define the limit. In this case, we can't, so the answer is D as the limit does not exist (DNE).

what 52,437 rounded to the nearest hundred

Answers

Answer: 52,400

Step-by-step explanation:

Please show clear solutions to these additional questions involving gas laws. A complete solution shows
all steps, including necessary unit conversions. Final answers must be rounded to correct significant
figures.

1. If placing a balloon of gas into a freezer at –80.0 °C causes its volume to change to 76.4 % its
initial volume, then what was the balloon’s initial temperature in °C?

2. Suppose instead of volume, we built a thermometer that measures temperature by pressure
changes. A sample of gas is placed into a rigid glass vial along with a pressure sensor. At room
temperature (25.0 °C), the pressure of the gas is 1.01 atm. The gas thermometer is then placed
into a bath of hot oil. The pressure of the apparatus changes to 1.38 atm. What is the temperature
of the oil in °C?

Answers

1. The balloon's initial temperature was ____ °C.

2. The temperature of the oil is ____ °C.

1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.

2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.

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hiii pls help i’ll give brainliest if you give a correct answer

hiii pls help ill give brainliest if you give a correct answer

Answers

Answer:

الجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةvالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةv

gkgkhhkStep-by-step explanation:

Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen

Answers

$21.75

4x3=12

7.25x3=$21.75

1. Find the midpoint for each segment with the given endpoints.
a. C(-2, 5) and D(8, -12) b. E(2.5, -7) and F(-6.2, -3.8)

1. Find the midpoint for each segment with the given endpoints.a. C(-2, 5) and D(8, -12) b. E(2.5, -7)

Answers

Answer:

a.(3,-7/2) b.(-1.85,-5.4) will the midpoints

Step-by-step explanation:

let mid point be x,y

apply mid point formula

x=(x1+x2)/2 y=(y1+y2)/2

plz mark as brainliest

The midpoint of the given line is (3,-3.5)

What is midpoint of a line ?

The midpoint of a line is a point which divides the line segment into two equal parts.We can also say that a midpoint bisects a line segment.

We know when two end points of a line segment are given we can find midpoint by

M(x) = (x₁ + x₂)/2 and M(y) = (y₁ + y₂)/2.

Given points  C(-2, 5) and D(8, -12)

M(x) = ( - 2 + 8 )/2

M(x) = 6/2

M(x) = 3.

M(y) = ( 5 - 12 )/2

M(y) = -7/2

M(y) = -3.5.

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A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time

Answers

For spinning the spinner one time A could be {1, 2, 3} or, A = {1, 2, 3, 4} is possible.

What is a set?

The set is mathematical model for a collectionof different things;a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables or even other sets.

The given spinner is divided into 8 equal sized sections, so the possible set can be written as-

S = {1, 2, 3, 4, 5, 6, 7, 8}

Now the possible subsets can be-

Even numbers = {1,3,5,7}

Odd numbers = {2,4,6,8}

Any number or group from 1 to 8, inclusive

Hence for spinner the spinner for one time, suppose A be the possible set. Then,

    A could be {1, 2, 3}.

or, A = {1, 2, 3, 4}.

where A is the subset of S.

Hence, For spinning the spinner one time A could be {1, 2, 3} or, A = {1, 2, 3, 4} is possible.

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T/F a correlation simply means that two or more variables are present together.

Answers

A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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What is the range for the possible ratios of adjacent leg hypotenuse ratios?​

Answers

Answer:

3 triangles have adjacent leg to hypotenuse ratios of approximately 0.91.

Step-by-step explanation:

a car travels 180 miles in 4 hours find the car's speed in feet per minute ​

Answers

1,760 ft. I can't guaruntee that's correct though...

Answer:

180 dived by 4 = 45, 45 divided by 60 = 0.75 per minute

Step-by-step explanation:

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