What is the average rate if change over the domain -1

Answer:  RT=7.1 cm /   QR = 9cm  /QPR =  44 degrees / STR = 92degrees

have a good day this i got %100!!!!

Answer:

180=12x+35+3x+10 or 180=15x+45

Step-by-step explanation:

supplementary means that they will add up to equal 180.

The Excel function that would generate a single random X value for a binomial random variable with parameters n = 16 and p = 0.25 is option A, which is =BINOM.INV(16,0.25,RAND()).

The BINOM.INV function in Excel is used to generate a random value for a binomial distribution. It takes three arguments: the number of trials (n), the probability of success in each trial (p), and a random number between 0 and 1. The function returns the smallest value of X for which the cumulative binomial probability is greater than or equal to the random number.

In this case, the parameters are n = 16 and p = 0.25. Option A, =BINOM.INV(16,0.25,RAND()), correctly specifies the number of trials as 16, the probability of success as 0.25, and uses the RAND() function to generate a random number between 0 and 1. Therefore, option A is the correct choice for generating a single random X value for the given binomial random variable.

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To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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Answer:

Use mathpapa, it's a great calculator and it explains the steps

Can I have brainliest?

Step-by-step explanation:

The function f(x,y) = 6 + x ln(xy-7) is differentiable at the point (4,2).

We can find the partial derivative fx(x,y) by applying the chain rule of differentiation to the function f(x,y) = 6 + x ln(xy-7), as follows:

fx(x,y) = ln(xy-7) + x(1/(xy-7))(ydx/dx)

= ln(xy-7) + 1/(y-7)*x

where dx/dx = 1 is the derivative of x with respect to itself. Similarly, the partial derivative fy(x,y) can be obtained as:

fy(x,y) = x(1/(xy-7))(xdy/dy)

= x/(xy-7)

where dy/dy = 1 is the derivative of y with respect to itself.

To show that fx and fy are continuous at the point (4,2), we need to evaluate them at that point and show that the resulting values are finite. Substituting x = 4 and y = 2 into the equations for fx and fy, we get:

fx(4,2) = ln(1) + 1/(2-7)4 = -4/5

fy(4,2) = 4/(42-7) = -4/3

Since both fx(4,2) and fy(4,2) are finite, we can conclude that the partial derivatives of f exist and are continuous at (4,2).

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Complete Question:

Explain why the function is differentiable at the given point.

f(x, y) = 6 + x ln(xy − 7), (4, 2)

The partial derivatives are fx(x, y) =

and fy(x, y) =

Answer:

The product of 9.2 and 7.81 will be 71.852 so it has three decimal places.

Step-by-step explanation:

9.2 X 7.81 = 71.852 ( 3 decimal place figure)

Answer:The product of 9.2*7.81 is 71.852 but simplified is 71.85 so it would go 2 decimal places.Not simplified would be 3 decimal places.

Step-by-step explanation:It would be 2 decimal places because it is 71.85(simplified)you will go 2 decimal places.But not simplified would be 3 decimal places since its 71.852.

Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

Answer:

16.85

Step-by-step explanation:

This answer is if the question asks, "Use this model to predict the success rate of putts from 5 meters".  When you create your equation, 84.05-13.44(x), plug 5 into x and you get 16.85.

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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Answer:

A?

Step-by-step explanation:

A is the only one that makes sense, becaues 150% of 500 is 750.

150/100 = 150%

5/5, I believe, just represents the 5 in 500.

Answer:1.8

Step by step explanation:

Answer:

B. the area of a rectangle with side lengths 1.40 and x

Step-by-step explanation:

To find the area of a rectangle, multiply the length by the width.

If 1.40 is the length, x is the width.

1.40×x=1.40x

So B is the correct answer.

The distance between the point A and B is 15 units.

The distance between two points can be found using Pythagoras's principle.

Point A is located at (7,4), and point B is located at (-8,4). Let's find the distance between point A and B as follows:

Therefore,

d = √(y₂ - y₁)² + (x₂ - x₁)²

Hence, using (7, 4) (-8, 4)

x₁ = 7

x₂ = -8

y₁ = 4

y₂ = 4

Hence,

d = √(4 - 4)² + (-8 - 7)²

d = √(0)² + (-15)²

d = √225

d = 15 units

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The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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The transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

A parabola is a symmetrical, U-shaped curve that can be formed by intersecting a plane with a cone. It is defined by the quadratic equation \(y = ax^2 + bx + c.\)

Solution:

To identify the transformations that have been applied to the graph of \(f(x) = x^2\)to produce the graph of \(g(x) = -5x^2 + 100x - 450\) we can start by looking at the standard form equation for a parabola:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola and "a" determines the shape and direction of the parabola.

For\(f(x) = x^2\), we have a = 1, h = 0, and k = 0, so the vertex is at (0, 0).

For \(g(x) = -5x^2 + 100x - 450\), we can rewrite it as:

\(g(x) = -5(x^2 - 20x + 90)\)

Completing the square inside the parentheses, we get:

\(g(x) = -5(x - 10)^2 + 400\)

So the vertex of the parabola is (10, 400), and the "a" value is -5, which means the parabola is upside-down compared to\(f(x) = x^2.\)

Therefore, the transformations that have been applied to f(x) to obtain g(x) are:

1. The graph is reflected vertically (flipped upside-down) due to the negative "a" value.

2. The graph is shifted 10 units to the right and 400 units up, which corresponds to a horizontal translation of 10 units and a vertical translation of 400 units.

In summary, the transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

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Answer:

0.324m^2 ; 18 ft

Step-by-step explanation:

Given the triangle :

Base (b) of triangle = 54cm

Height (h) of triangle = 1.2m

Area(A) of a triangle is given by:

0.5 * base * height

Base = 54cm = 54/100 = 0.54 m

Therefore,

A = 0.5 * 0.54m * 1.2m

A = 0.324m^2

2.) Average of the two bases in the trapezoid :

From the trapezium Given :

Base 1 = 15 feets

Base 2 = 7 yards

1 yard = 3 Feets

Therefore, base 2 in Feets = 7 * 3 = 21 Feets

Average of the two bases :

(21 Feets + 15 Feets) / 2

= 36 Feets / 2

= 18 Feets

To prove a closed rectangular box of maximum value with the surface area s is a cube we need to maximize volume V with respect to the surface area which is S.

To show that a closed rectangular box of maximum volume having a prescribed surface area (S) is a cube, we can use the following steps:
1. Let's denote the dimensions of the rectangular box as length (L), width (W), and height (H).

2. The surface area (S) of a closed rectangular box can be expressed as:
S = 2(LW + LH + WH)

3. The volume (V) of a closed rectangular box can be expressed as:
V = LWH

4. To find the maximum volume, we need to express one dimension in terms of the others using the surface area equation. For example, let's express H in terms of L and W:
H = (S - 2LW) / (2L + 2W)

5. Substitute H in the volume equation:
V = LW[(S - 2LW) / (2L + 2W)]

6. To find the maximum volume, we need to find the critical points of V by taking the partial derivatives with respect to L and W, and setting them to 0:
∂V/∂L = 0
∂V/∂W = 0

7. Solving these equations simultaneously, we obtain:
L = W
W = H

8. Since L = W = H, the dimensions are equal, and the rectangular box is a cube.

In conclusion, a cube is a closed rectangular box of maximum volume with a prescribed surface area (S).

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Answer:

Standard form → \(3x^{2} +10x-10\)

Degree → 2

Step-by-step explanation:

GIven polynomial is

⇒\(3x^{2} +4x-10+6x\)

Simplifying,

⇒\(3x^{2} +4x-10+6x\\\\3x^{2} +4x+6x-10\\\\3x^{2} +10x-10\)

The standard form of the given polynomial is:

→\(3x^{2} +10x-10\)

And the degree of this polynomial is 2 because the highest power of the terms is 2.

Answer:

\(y=-\frac{5}{9}x+6\)

Step-by-step explanation:

Do what the question says and use the two orange points to figure out the slope of the line. We see that the orange parts are \((x_1,y_1)\rightarrow(0,6)\) and \((x_2,y_2)\rightarrow(9,1)\).

\(Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-6}{9-0}=\frac{-5}{9}=-\frac{5}{9}\)

Since \((0,6)\) is a point on the line of best fit, this means our y-intercept is b=6, making the final equation \(y=-\frac{5}{9}x+6\)

Answer:

Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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Step-by-step explanation:

when you do an arithmetic operation to functions, you do it for the defining expressions.

so,

(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7

(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12

= 4(x² + 4x + 3)

(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13

Part I: Converting the terms into fraction form

Given equation:

First, let's convert the terms (that are in decimals) into fractions.

Replace the fraction forms in the equation:

Part II: Simplifying the division being performed

Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.

Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).

Part III: Isolating "k" to determine it's value

Combine like terms as needed:

Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.

Cancel the denominators (as a/b = c/b ⇔ a = c)

Divide both sides by 25 to isolate "k"

Answer:

B. (4x+5)(16x2−20x+25)

Step-by-step explanation:

64x3+125

=(4x+5)(16x2−20x+25)

The area of the partial circle with a radius of 8 cm = 150.72 \(cm^{2}\), then the we can use  \(\pi =3.14\) value.

The circle is missing 1/4, so the area of it is just 3/4 of the whole area of the circle.

Area of a circle is the region occupied by the circle in a two-dimensional plane.

It can be determined easily using a formula, A = \(\pi r^{2}\) , (Pi r-squared) where r is the radius of the circle.

The unit of area is the square unit, such as \(m^{2}\), \(cm^{2}\), etc.

Area of Circle = \(\pi r^{2}\) or \(\frac{\pi d^{2} }{4}\), square units. where π = 22/7 or 3.14.

Area of a circle,

A = \(\pi r^{2}\)      (Equation-1)

Where,

r = radius

Given that,

r = 8cm

We can substitute equation-1,

A = \(\pi 8^{2}\) cm * cm

A = \(64\pi\) \(cm^{2}\)

So,

We can write,

Whole one quarter,

\(\frac{4}{4} -\frac{1}{4}\) \(=\frac{3}{4}\)

We can get,

= \(\frac{3}{4} *64\pi\)

= 48\(\pi\)

We can substitute \(\pi =3.14\) value,

Then,

= 48 * 3.14

= 150.72 \(cm^{2}\)

Therefore,

The area of the partial circle with a radius of 8 cm = 150.72 \(cm^{2}\), then the we can use  \(\pi =3.14\) value.

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

m

Step-by-step explanation:

the slope or growth rate of the function is the coefficient of the variable x, which is m in this case

Answer:

34

Step-by-step explanation:

Distribute

2x+14-2x+20

Combine like terms

34

Answer:

34

Step-by-step explanation:

Remember to do PEMDAS, multiply the number out side of the parentheses with what 9s inside of them.

a) , 36 : '22 in its simplest form is 18 : 11., d) the mean is 301.25.

a) To express 36 : '22 in its simplest form, we need to find the greatest common divisor (GCD) of 36 and 22. The GCD of 36 and 22 is 2. Divide both numbers by the GCD to simplify the fraction. 36 ÷ 2 = 18 and 22 ÷ 2 = 11. So, 36 : '22 in its simplest form is 18 : 11.

b) To express the fractions x 3 2 and I in equivalent fractions with a denominator of 20, we need to multiply the numerator and denominator by the same number. For x 3 2, multiply both the numerator and denominator by 10. This gives us x 3 2 = 10 x 3 2 ÷ 2 10 ÷ 2 = 15 1. For I, multiply both the numerator and denominator by 20. This gives us I = 1 x 20 2 x 20 = 20 40.

c) To evaluate Workout;+;—§, substitute the values into the expression: 2 + 5 - 4 ÷ 2. Start by performing the division: 4 ÷ 2 = 2. Then, perform the addition: 2 + 5 = 7. Finally, perform the subtraction: 7 - 2 = 5.

d) To find the mean of the dataset: 301, 285, 21, 351, 35, 2135, 311, 25, 45, 310, 301, 305, add up all the numbers and divide by the total number of values. Adding all the numbers together gives us 3615. Since there are 12 numbers in the dataset, the mean is 3615 ÷ 12 = 301.25. Rounded to two decimal places, the mean is 301.25.

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