(Chapter 14) fy(a,b) = limit as y approches b f(a,y)- f(a, b)/(y-b)

Answer:

x=4

Step-by-step explanation:

Answer:

x= 4, C

Step-by-step explanation:

i just finsihed the unit test.

The computational thinking concept used in the process of solving the problem of finding the sum of all integers from 2 to 20 is pattern recognition. Pattern recognition is the ability to identify patterns in data. In this case, the pattern that needs to be identified is the sum of all pairs of integers that are 18 apart.

The first step in solving the problem is to identify the pattern. This can be done by looking at the first few pairs of integers that are 18 apart. For example, the sum of 2 and 20 is 22, the sum of 4 and 18 is 22, and the sum of 6 and 16 is 22. This suggests that the sum of all pairs of integers that are 18 apart is 22.

Once the pattern has been identified, it can be used to solve the problem. The sum of all integers from 2 to 20 can be calculated by dividing the integers into pairs that are 18 apart and then adding the sums of the pairs together. There are 10 pairs of integers that are 18 apart, so the sum of all integers from 2 to 20 is 10 * 22 = 220.

Learn more about integers here:

brainly.com/question/33503847

#SPJ11

The complete question is:

What is the category of the computational tifinking concept used in the process of solving the following problem: Find the sum of all integers from 2 to 20 . When the outemost numbers (2 and 20), then the next-outermost numbers (4 and 18), and so on are added, all sums (2 + 20, 4 + 18, 3 + have a sum of 110.

Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random.

The probability that maya's first guess is correct and her second guess is incorrect is 0.24.

From the question given above, the following data were obtained:

Correct answer (C) = 222

Total answer = 555

Incorrect answer (I) = 555 – 222 = 333

Next, we shall determine the probability that her 1st guess is correct.

Correct answer, nC = 222

Total answer, nS= 555

Probability of correct answer, P(C) =?

P(C) = nC / nS

P(C) = 222 / 555

Next, we shall determine the probability that her 2nd guess is incorrect

Incorrect answer, nI = 333

Total answer, nS = 554

Probability of incorrect answer, P(I) =?

P(I) = nI / nS

P(I) = 333 / 554

Finally, we shall determine the probability that her first guess is correct and her second guess is incorrect.

Probability of correct answer, P(C) = 222 / 555

Probability of incorrect answer, P(I) = 333 / 554

Probability of 1st correct and 2nd incorrect, P(C n I) =?

P(C n I) = P(C) × P(I)

P(C n I) = (222 / 555) × (333 / 554)

P(C n I) = 0.24

Hence the answer is, The probability that maya's first guess is correct and her second guess is incorrect is 0.24.

To learn more about probability click here https://brainly.com/question/24756209

#SPJ4

Answer:

0.3

Step-by-step explanation:

Khan Academy ;)

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

If we deal with 5 cards from a standard deck of 52 playing cards , then the number of ways to get a full house is 3744 .

There are 52 playing cards ,

So, to get a full house we need to chose 3 cards of one  kind (having the same number) and 2 cards of another kind.

Let "A" be the event for selecting "3 cards of same number" ;

let "B" be the event event "2 cards of same number" ;

The number of choices for the "event A" depends on : "number of ways  of  choosing one number from 13"  and "number of ways we can get 3 cards of the same number from 4"  .

So , the number of possibilities for event A :

⇒ ¹³C₁ × ⁴C₃ = 52  ;

The number of choices for event B depends on :  "number of ways we can choose one number from the remaining 12 cards" and "number of ways we can get 2 cards of same number from 4" .

So , the number of possibilities for event B is :

⇒ ¹²C₁ × ⁴C₂ = 72 ;

Since events "A and B" are independent, the number of ways we can get a full house is:  52 × 72 = 3744  .

Learn more about Playing Cards here

https://brainly.com/question/30599268

#SPJ4

Answer:

Step-by-step explanation:

if i help you with this can yu do this

1. Describe, in detail, the way Jews were treated by the Nazi Party between 1933 and 1944. Be sure to address the restrictions on the Jews and their movement as well as discussing the creation and impact of the Nuremberg Laws.

2.explain how literature can help us understand the past. How can reading literature sometimes be more effective than studying an informational/historical document or simply studying "facts" from the past.

120 or more for both questions!!!

The correct answer is option A: "The product xy is Constant, so the relationship is an inverse variation."

To determine whether the relationship between the values of x and y in the given table is an inverse variation or not, we need to examine the behavior of the product xy.

Let's calculate the product xy for each pair of values:

For x = 2, y = 630, xy = 2 * 630 = 1260.

For x = 3, y = 420, xy = 3 * 420 = 1260.

For x = 5, y = 252, xy = 5 * 252 = 1260.

From the calculations, we can observe that the product xy is constant and equal to 1260 for all the given values of x and y.

Based on this information, we can conclude that the relationship between x and y in the table is an inverse variation. In an inverse variation, the product of the variables remains constant. In this case, regardless of the specific values of x and y, their product xy consistently equals 1260.

Therefore, the correct answer is option A: "The product xy is constant, so the relationship is an inverse variation."

For more questions on Constant.

https://brainly.com/question/28581458

#SPJ8

The ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To determine the angle the ladder needs to make with the house, we can use the tangent function.

First, we'll need to determine the opposite side (the height that the ladder needs to reach) and the adjacent side (the distance from the base of the ladder to the house) of the triangle formed by the ladder and the house.

Opposite side = 18 feet

Adjacent side = 25 feet

We can then use the tangent function to find the angle:

tan(angle) = opposite / adjacent

Solving for the angle, we get:

angle = arctan(18/25) = approximately 54.7 degrees

Therefore, the ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To learn more about the triangle, visit:

brainly.com/question/2773823

#SPJ4

The mean of the deviation scores in any data distribution is also known by research scientists as the mean deviation or the average deviation. It is a measure of the average distance of each data point from the mean of the distribution.

The mean deviation is calculated by finding the absolute difference between each data point and the mean, adding up these differences, and dividing by the number of data points. Unlike the standard deviation, the mean deviation gives equal weight to each data point and is less affected by outliers.

However, it is not as commonly used as the standard deviation because it does not have the same statistical properties and is not as easily interpreted in terms of probability distributions.

To know more about mean of deviation:

https://brainly.com/question/10528201

#SPJ4

The area of the new square is 128 square feet larger than the area of the original square.

When the side lengths of a square are tripled, the new square will have side lengths of 12 feet (4 feet multiplied by 3). To find the area of the original square, we use the formula A = s^2, where A is the area and s is the side length. Thus, the area of the original square is 4^2 = 16 square feet.

Similarly, the area of the new square with side lengths of 12 feet is 12^2 = 144 square feet. To determine how much larger the area of the new square is than the area of the original square, we subtract the area of the original square from the area of the new square: 144 - 16 = 128 square feet.

Therefore, the area of the new square is 128 square feet larger than the area of the original square. This means that the new square is three times nine times six times larger in terms of area compared to the original square.

Know more about square here,
https://brainly.com/question/30556035

#SPJ11

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ1

To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

To know more about  probabilities click here:  brainly.com/question/31828911

#SPJ11

To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

To know more about state matrix click here:  brainly.com/question/30112898

#SPJ11

The curve starts at (1,1) and goes to the right, approaching the x-axis but never touching it. It also approaches the y-axis but never touches it. The curve is traced in the direction from (1,1) towards the positive x-axis as the parameter t increases.

To eliminate the parameter, we can solve for t in terms of x and substitute into the equation for y:

x = et  --> t = ln(x)
y = e⁽⁻⁴ᵗ⁾ = e⁽⁻⁴⁾ln(x)) = x⁽⁻⁴⁾
So the Cartesian equation of the curve is y = x⁽⁻⁴⁾.

To sketch the curve, we can notice that as x increases, y decreases rapidly (since it is raised to the negative fourth power). The curve approaches the y-axis but never touches it. It also approaches the x-axis but is never quite horizontal. To indicate the direction in which the curve is traced as the parameter increases, we can use an arrow pointing to the right (since t = ln(x) increases as x increases).

Learn more about graphs here: brainly.com/question/17267403

#SPJ11

The rate of change in temperature the duck might feel is -10cos(t)sin(t)e^sin(t) + 7sin4(t) + 5cos3(t)e^sin(t) - 21cos(t)sin2(t).

Given, x= cos(t), y= sin(t),T = 5x^2e^y - 7xy^3

Differentiating T w.r.t. t using chain rule, we get

d(T)/d(t) = (∂T/∂x) (dx/dt) + (∂T/∂y) (dy/dt)

Now, ∂T/∂x = 10xe^y - 7y^3∂T/∂y

= 5x^2e^y - 21xy^2dx/dt

= - sin(t) anddy/dt = cos(t)

On substituting the values, we get

d(T)/d(t) = [10cos(t)e^sin(t) - 7sin^3(t)] (-sin(t)) + [5cos^2(t)e^sin(t) - 21cos(t)sin^2(t)] (cos(t))

= -10cos(t)sin(t)e^sin(t) + 7sin^4(t) + 5cos^3(t)e^sin(t) - 21cos(t)sin^2(t)

Therefore, the rate of change in temperature the duck might feel is

-10cos(t)sin(t)e^sin(t) + 7sin^4(t) + 5cos^3(t)e^sin(t) - 21cos(t)sin^2(t).

Therefore, the rate of change in temperature the duck might feel is -10cos(t)sin(t)e^sin(t) + 7sin4(t) + 5cos3(t)e^sin(t) - 21cos(t)sin2(t).

This can be obtained by two methods, namely the chain rule and by expressing T in terms of t and differentiating.

Learn more about chain rule visit:

brainly.com/question/31585086

#SPJ11

The estimated probability is 0.0294

To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.

The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.

q is the probability of failure (1 - p), and nCk represents the number of combinations.

In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.

Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.

Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.

By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.

This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.

Learn more about binomial distributions

brainly.com/question/29163389

#SPJ11

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

x= 129°

Step-by-step explanation:

Angle x is suplenment of 51° (their sum = 180°)

So x+51° = 180°

x = 180° - 51°

x= 129°

The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

Learn more about kites at: https://brainly.com/question/20597161

#SPJ1

The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

learn more about kite from

https://brainly.com/question/26870235

#SPJ1

The absolute maximum value of f on d is 4, and it occurs when x = 2, y = 0. The absolute minimum value of f on d is -37, and it occurs when x = 1, y = 3.

To find the absolute maximum and minimum values of f on the set d, use the following steps:Step 1: Calculate the partial derivatives of f with respect to x and y. f(x, y) = x2 4y2 − 2x − 8y 1∂f/∂x = 2x - 2∂f/∂y = -8y - 8Step 2: Set the partial derivatives to zero and solve for x and y.∂f/∂x = 0 ⇒ 2x - 2 = 0 ⇒ x = 1∂f/∂y = 0 ⇒ -8y - 8 = 0 ⇒ y = -1Step 3: Check the critical point(s) in the given domain d. 0 ≤ x ≤ 2, 0 ≤ y ≤ 3Since y cannot be negative, (-1) is not in the domain d. Therefore, there is no critical point in d.Step 4: Check the boundary of the domain d. When x = 0, f(x, y) = -8y - 1When x = 2, f(x, y) = 4 - 8y - 2When y = 0, f(x, y) = x2 - 2x - 1When y = 3, f(x, y) = x2 - 2x - 37Therefore, the absolute maximum value of f on d is 4, and it occurs when x = 2, y = 0.The absolute minimum value of f on d is -37, and it occurs when x = 1, y = 3.

To know more about domain visit:

https://brainly.com/question/26098895

#SPJ11

function: $f(x,y) = \(x^2 - 4y^2 - 2x - 8y +1$\) , The given domain is \(x^2 - 4y^2 - 2x - 8y +1$\)

Now we have to find the absolute maximum and minimum values of the function on the given domain d.To find absolute maximum and minimum values of the function on the given domain d, we will follow these steps:

Step 1: First, we have to find the critical points of the given function f(x,y) within the given domain d.

Step 2: Next, we have to evaluate the function f(x,y) at each of these critical points, and at the endpoints of the boundary of the domain d.

Step 3: Finally, we have to compare all of these values to determine the absolute maximum and minimum values of f(x,y) on the domain d.

Now, let's find critical points of the given function f(x,y) within the given domain d.To find the critical points of the function \($f(x,y) =\(x^2 - 4y^2 - 2x - 8y + 1$\)\), we will find its partial derivatives with respect to x and y, and set them equal to zero, i.e.\(\($f(x,y) = x^2 - 4y^2 - 2x - 8y + 1$\)\)

Solving these equations, we get:\($x = 1$\) and \($y = -1$\)So, the critical point is \($(1,-1)$.\)

Now, we need to find the function value at the critical point and the endpoints of the boundary of the domain d. We will use these five points:\($(0,0),(0,3),(2,0),(2,3),(1,-1)$\).

Now, let's evaluate the function f(x,y) at each of these five points:\(\($f(x,y) = x^2 - 4y^2 - 2x - 8y + 1$\)\)

Therefore, the absolute maximum value of f(x,y) is 1, and the absolute minimum value of f(x,y) is -67 on the domain d.

To know more about domain , visit

https://brainly.com/question/28135761

#SPJ11

Answer:

35.5

Step-by-step explanation:

31+29+33+37+43+38+33+40

=284

284 ÷8 ( how many numbers there are)

=35.5

Answer:

Step-by-step explanation:

\(V=\frac{4\pi r^3}{3}\)

Answer:

1. 3

2. 4

3. 2

4. 1

5. 1

7. 3

8. 10?

thats all i know because thats my answers hope it helps

Answer:

Step-by-step explanation:

6. how is twice a number decrease by three is negative seven written as a question A. 2+×_3=7 B. 2×_3=7 C. ×2-3=7 D. (×-3)2=-7​

Answer:

A

Step-by-step explanation:

Answer:

1. nth term is 8 but it may continue to decrease depending on the 4th number. Therefore it is impossible to find the nth expression.

2, 2(n+9)

Step-by-step explanation:

2, 18 -20+38 -40.5+75.5 -81.12535+151.2517 -151.535 +303.754 -307.54...

nth term is n/2(t1-1)

Answer:

15

Step-by-step explanation:

5 X 10 = 50

170 / 50 = 3 sets  = 15

Answer:

x = 19

z = 113

Step-by-step explanation:

5x-28 = 7x-66

add 66 to both sides

5x+38 = 7x

subtract 5x from both sides

38 = 2x

divide by 2

19 = x

z + 5x -28 = 180

z + (5 * 19) - 28 = 180

z + 95 -28 = 180

z + 67 = 180

subtract 67 from both sides

z = 113

Check:

113 + (7*19) - 66 = 180

113 + 133 - 66 = 180

246 - 66 = 180

180 = 180

Answer:

3, -3, -1/2

Step-by-step explanation:

There is no need to distribute, just set each parenthesis to equal to zero.

p(x)= (x-3)(x+3)(2x+1)

         X-3=0                     x+3=0                      2X+1=0

           +3  +3                     -3  -3                           -1  -1

             X=3                        X=-3                          2x=-1

                                                                                x=-1/2

So your answers are 3, -3, -1/2