Which function has the least slope?
OA.
B.
y =
x +15
y = x - 12

C. y = 5x + 23

D. y =
=
7x6

The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Learn more about Expressions

brainly.com/question/28170201

#SPJ11

Answer:

I think it's five but I'm not sure

it could be -5 or 5  but I think it it is -5

Answer:

-5

Step-by-step explanation:

Slope is change in y/change in x. You are going down 5 units and to the right one unit so -5/1 =-5.

Answer:300 m

Step-by-step explanation:

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

To learn more about probability click on,

https://brainly.com/question/25905476

#SPJ4

Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

Answer:

its a or c

Step-by-step explanation:

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

The area of the quarter circle with radius 3ft is \(7.065 ft^2\)

Area of a quarter circle is given by the formula:

\(Area = \frac{\pi r^2}{4}\)

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula \(Area = \frac{\pi r^2}{4}\)

\(Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2\)

The area of the quarter circle with radius 3ft is \(7.065 ft^2\)

Learn more here: https://brainly.com/question/25843249

Answer:

check attached image

- sorry it took me so long, its a lot of calculating

- I wrote the answer for 20 but didnt show work since it similar to 19 just with group b data points (i can add the work for this question if you request to if really needed)

- I'm also sorry 3 brainly tutors and no one can answer it, hope this helps :)

- Let me know if you cant read my handwritting or its blurry or even any questions !!

- I applied to be a bainly tutor, hope to assist you in the future

have a nice rest of your day <3

By means of algebra properties for powers and roots, the radical expression \(\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}\) is equivalent to the expression \(4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }\).

In this question we need to simplify an expression by using algebra properties, that is, to transform an expression involving three variables (x, y, z), roots and power operators into an expression with only power operators, that is, where only we see power operators, no root operators of any kind. Now we proceed the entire procedure in detail:

In accordance to the algebra properties related to power and radical expressions, the radical expression \(\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}\) is equivalent to the power product \(4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }\).

To learn more on radical expressions: https://brainly.com/question/28336985

#SPJ1

a) The change-of-coordinates matrix from basis A to basis B is C = [4 -1 0; -1 1 1; 0 1 -2]. b)  The vector [x]g for x = 3a + 4a2 + az is [11; -2; -6] in the basis B.

a. To find the change-of-coordinates matrix from basis A to basis B, we need to express the vectors in A as linear combinations of the vectors in B. From the given information, we have a = 4b – b2, a = -b1 + b2 + b3, and az = b2 – 2b3. We can rewrite these equations as linear combinations: a = 4b – b2 + 0b3, a = -b1 + b2 + b3, and az = 0b1 + b2 – 2b3.

Using these expressions, we can construct a matrix where the columns correspond to the vectors in A expressed in terms of the vectors in B. The change-of-coordinates matrix C is given by:

C = [4 -1 0; -1 1 1; 0 1 -2].

b. To find [x]g for x = 3a + 4a2 + az, we can use the change-of-coordinates matrix C. First, we express the vector x in terms of the basis A: x = 3(aj) + 4(az) + (az). Then, we can rewrite x in terms of the basis B using the change-of-coordinates matrix: [x]g = C[x]A.

Calculating the matrix-vector multiplication, we have:

[x]g = C * [3; 4; 1] = [11; -2; -6].

Therefore, the vector [x]g in the basis B is [11; -2; -6].

Learn more about combinations here: https://brainly.com/question/28065038

#SPJ11

The cost of 100 donuts is $ 1 if a dozen of donuts cost 12 cents.

This question is solved using the unitary method. The unitary method is a method in which you find the value of a unit and then the value of the required number of units.

1 dozen refers to a group of 12.

Cost of 1 dozen donuts or 12 donuts = 12 cents

Cost of 1 donut = \(\frac{12}{12}\) = 1 cent

Cost of 100 donuts = 1 * 100 = 100 cents

100 cents = 1 dollar.

Thus, the cost of 100 donuts is 100 cents or 1 dollar.

Learn more about Unitary Method:

https://brainly.com/question/24587372

#SPJ4

Answer:

0.004.

Step-by-step explanation:

First, I'll change \(\frac{5}{4}\) to a decimal.

\(\frac{5}{4} = 1.25.\)

Then, we divide.

\(\frac{1.25}{10} = 0.004.\)

The answer is 0.004.

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

Given sequence;

1, 4, 11, 26, 57, 120, _

The missing term  =?

Solution;

We need to find the relationship between each term and then we can find the missing term;

      1, 4, 11, 26, 57, 120, _ ;

 let us start with the first two;

       3 x 2 + 1  = 7 + 4  = 11

       7 x 2 + 1  =  15 + 11 = 26

       15 x 2 + 1 = 31 + 26 = 57

       31 x 2 + 1 = 63 + 57 = 120

       63 x 2 + 1 = 127  + 120 = 247

        We see this pattern and can conclude that the missing term is 247

Given f(x) = -1/3(1200x - x³) Find the domain The domain of the function is the set of all real numbers since there are no values of x for which the function is not defined. Exploit the symmetry of the function. The function is an odd function, hence symmetric with respect to the origin.

Therefore, if (a, b) is a point on the graph of f(x), then (-a, -b) is also on the graph of f(x). Find all intercepts To find the x-intercepts, we need to set f(x) = 0.0 = -1/3(1200x - x³)0 = x(1200 - x²)x = 0, 34.64, -34.64f(0) = -1/3(0) = 0Therefore, the x-intercepts are (0, 0), (34.64, 0), and (-34.64, 0)To find the y-intercept, we need to set x = 0.f(0) = -1/3(0) = 0Therefore, the y-intercept is (0, 0). Locate all asymptotes and determine end behavior. The function does not have vertical asymptotes. The function has a horizontal asymptote: y = -200The end behavior of the function is: as x → -∞, f(x) → ∞as x → ∞, f(x) → -∞e. Find the first derivative f(x) = -1/3(1200x - x³)f '(x) = -1/3(1200 - 3x²) = 400 - x²f '(x) = 0 when x = ±20√3f '(-∞) = -∞, f '(-20√3) = 0, f '(20√3) = 0, f '(∞) = -∞f) Find the second derivative: f '(x) = 400 - x²f ''(x) = -2x. Create the sign chart: From the sign chart, determines the intervals on which f is increasing or decreasing and the local extrema, the intervals on which the function is concave up or concave down and inflection points. From the sign chart, determines the intervals on which f is increasing or decreasing and the local extrema, the intervals on which the function is concave up or concave down and inflection points. F(x) is increasing on intervals (-∞, -20√3) and (20√3, ∞).f(x) is decreasing on intervals (-20√3, 20√3).The local maximum is f(-20√3) = 5333.333 and the local minimum is f(20√3) = -5333.333.F(x) is concave up on intervals (-∞, -20) ∪ (20, ∞)F(x) is concave down on intervals (-20, 20).The inflection points are (-20√3, 0) and (20√3, 0).j) Graph f(x)

The domain of the function is the set of all real numbers since there are no values of x for which the function is not defined. The function is an odd function, hence symmetric with respect to the origin. Therefore, if (a, b) is a point on the graph of f(x), then (-a, -b) is also on the graph of f(x).To find the x-intercepts, we need to set f(x) = 0. Therefore, the x-intercepts are (0, 0), (34.64, 0), and (-34.64, 0). The y-intercept is (0, 0).

To learn more about domain of the function visit:

brainly.com/question/28599653

#SPJ11

Answer:

q + q + 4

Step-by-step explanation:

q + q +4

Answer:

2.73

Step-by-step explanation:

2.72(6)03

use 6= 2.73

The probability that the two friends will meet is 1/14 or approximately 0.0714, which can be expressed as a decimal or a fractionTo calculate the probability that the two friends will meet, we need to consider the range of arrival times for both friends and the waiting time they agree upon.

Let's break down the problem step by step:

The total time range within which each friend can arrive is one hour, which is equivalent to 60 minutes.

Each friend independently and randomly selects an arrival time within this one-hour period. This means that the arrival time for each friend can be any minute from 0 to 60.

The maximum waiting time agreed upon by both friends is ten minutes. This means that if the time difference between their arrival times is less than or equal to ten minutes, they will meet.

To calculate the probability of meeting, we need to determine the favorable outcomes (meeting) and the total possible outcomes (all possible arrival time combinations within the one-hour period).

For the favorable outcomes, we need to consider the possible arrival time combinations where the time difference is less than or equal to ten minutes. This can be visualized as a triangular region within the one-hour period, starting from the beginning and extending ten minutes diagonally.

The total possible outcomes can be calculated by considering all possible combinations of arrival times for both friends within the one-hour period, which is 60 * 60 = 3600.

To determine the favorable outcomes, we can calculate the area of the triangular region and divide it by the total possible outcomes.

The triangular region has a base of ten minutes and a height of fifty minutes (60 - 10 = 50). Therefore, the area of the triangular region is (1/2) * 10 * 50 = 250.

Dividing the area of the triangular region (favorable outcomes) by the total possible outcomes, we get 250/3600 = 25/360 = 1/14.

Therefore, the probability that the two friends will meet is 1/14 or approximately 0.0714, which can be expressed as a decimal or a fraction.

learn more about probability here: brainly.com/question/30034780

#SPJ11

Answer:

Her average speed is 45 mph

Step-by-step explanation:

Let the average speed be x mph

Time taken complete the journey = distance/ average speed

Time = 300/x

Now , at 9 mph less, she could have only traveled 240 miles in same time

At 9 mph less, the average speed is x-9

so the time would be 240/x-9

since the time is same as before;

300/x = 240/x-9

Divide both sides by 60

5/x = 4/x-9

Cross multiply

5(x-9) = 4(x)

5x - 45 = 4x

5x -4x = 45

x = 45 mph

The probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.

To find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles:

Given:

To find:

The probability of picking 5 vowels:

The probability of picking 1 consonant:

The probability of picking 5 vowels and 1 consonants:

Therefore, the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.

Know more about probability here:

https://brainly.com/question/25870256

#SPJ4

Answer:

6.24

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

2.5=1.3+4t

4t=2.5-1.3

4t=1.2

t= 1.2/4

t=0.3

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

Read more about Range

brainly.com/question/14209611

#SPJ1

Answer:

20

Step-by-step explanation:

I did it on khan academy

The multiple standard error of estimate is a measure of the variability of the residuals in a regression model. It is used to estimate the amount of error that is likely to occur when predicting a response variable based on the predictor variables.

The multiple standard error of estimate is calculated as the square root of the mean squared error in the ANOVA table divided by the degrees of freedom for error. This measure is useful in assessing the accuracy of the regression model and in comparing the fit of different models. A smaller multiple standard error of estimate indicates a better fit between the model and the data, meaning that the model is better at explaining the variability in the response variable based on the predictor variables.

The multiple standard error of estimate measures the variability of the residuals. In other words, it gauges the dispersion of observed values around the predicted values in a multiple regression model. A smaller value indicates that the model has a better fit, while a larger value signifies that the model's predictions deviate more from the actual observed values. The multiple standard error of estimate helps assess the accuracy of the model's predictions and can be used to improve the model when necessary.

Visit here to learn more about  regression model : https://brainly.com/question/14983410
#SPJ11

Step-by-step explanation:

f(2) = -3 means when x is 2, the f(x) is equal to -3. To solve b, we plugin in 2 into x, and plugin -3 for f(x), we get

f(x) = 3x + b

- 3 = 3(2) + b

- 3 = 6 + b

  b = -9

Answer:

1. x = -6

2. x = -10

3. x = 12

4. x = 13/2 (can be rewritten as 6 1/2 or 6.5)

5. x = 8

6. x = -3

7. x = -5

8. x = 12

9. x = -13

About 95.45% of the area is between z = -2 and z = 2, which is also within 2 standard deviations of the mean.

The mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the numbers in the set and dividing the sum by the total number of values.

The formula for calculating the mean of a set of n numbers x1, x2, x3, ..., xn is:

mean = (x1 + x2 + x3 + ... + xn) / n

For example, suppose we have a set of numbers {5, 7, 3, 2, 8}. To find the mean of this set, we add up all the numbers and divide by the total number of values:

mean = (5 + 7 + 3 + 2 + 8) / 5 = 25 / 5 = 5

Therefore, the mean of the set {5, 7, 3, 2, 8} is 5.

In the given question,

Assuming that we have a normal distribution, about 95% of the data falls within 2 standard deviations of the mean. Therefore, the area between z = -2 and z = 2 represents about 95% of the total area under the curve.

We can use a standard normal distribution table or a calculator to find the area under the curve between z = -2 and z = 2. From the table or calculator, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.

Therefore, about 95.45% of the area is between z = -2 and z = 2, which is also within 2 standard deviations of the mean.

To know more about standard deviations, visit:

https://brainly.com/question/23907081

#SPJ1

Answer:

t=dq

Step-by-step explanation:

If blueberries cost d dollars a pound, then it means the total price for q pounds is dq (price per pound * number of pounds). Therefore the formula in terms of the amount paid (or total price), t = dq

This formula can be used for any questions regarding these variables.

Hope this helped!

hope it will be helpful.......

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

Learn more about volume -

https://brainly.com/question/463363

#SPJ4