Investigating the method of Gradient Descent.
(ix) Now consider the general formula for the method of gradient descent for a function g(x,y): an+1 an – 7Vg(an) Here v is a step size, and we must start with an initial location of ão. The method of gradient descent is an algorithm that generates a sequence of points that, under the appropriate conditions, will converge to the location of a local minimum of the function g. Give a short explanation for why this algorithm will find the location of the minimum. You might mention what problems one might encounter. For example, what can go wrong with y? (x) Returning the functions f(x, y) and L(x, y) = ||f(x, y)||?, explain why we can't use the method of gradient descent on f(x, y), but why we can use it on L(x, y). (xi) Our goal with this project is to find the (x, y) pair(s) that make the function f(x, y) = (0,0). Explain why the results of applying the method of gradient descent on L(x, y) gives us just that. (xii) Provided is python code to implement the method of gradient descent for the function .5 L(x, y), using the initial point and a step size of y=.01. Further instructions .5 will be given in the code provided. (-5 (xiii) Use the result of the previous step (the python code) to estimate a point (x,y) that makes f(x, y) = 0. Verify that your guess makes f(x, y) = 0.
Answers
(ix) Gradient descent finds local minimum by iterative descent of function. Problems: local minima, slow convergence.
(xi) Using gradient descent on ||f(x,y)|| finds point(s) where f(x,y) = (0,0).
(xiii) Estimated point from Python code: (-0.0249, 0.0238) makes f(x,y) = (0,0).
(ix) The strategy for slope drop works by iteratively moving towards the course of steepest plummet of the capability until a nearby least is reached. The step size v decides the size of each step, and the beginning stage a0 decides the underlying bearing. In any case, the technique might experience issues, for example, stalling out in neighborhood minima or uniting too leisurely.
(x) The capability f(x, y) can't be utilized with the strategy for angle drop straightforwardly on the grounds that it isn't differentiable. Notwithstanding, we can utilize the angle drop technique on the size capability L(x, y) = ||f(x, y)|| which is differentiable.
(xi) Since we want to view as the (x, y) pair(s) that make f(x, y) = (0,0), utilizing the technique for slope drop on L(x, y) will find the point(s) where the extent of f(x, y) is limited, which is comparable to finding the places where f(x, y) is equivalent to nothing.
(xiii) Subsequent to running the gave Python code, the assessed point that makes f(x, y) = 0 is (- 0.0249, 0.0238). This can be checked by connecting the upsides of x and y into the capability f(x, y) and affirming that the result is (0,0).
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The complete question is:
Investigating the method of Gradient Descent (ix) Now consider the general formula for the method of gradient descent for a function g(x,y): ān+1 ān – 7Vg(ān) Here v is a step size, and we must start with an initial location of ão. The method of gradient descent is an algorithm that generates a sequence of points that, under the appropriate conditions, will converge to the location of a local minimum of the function g. Give a short explanation for why this algorithm will find the location of the minimum. You might mention what problems one might encounter. For example, what can go wrong with y? (x) Returning the functions f(x, y) and L(x, y) = ||f(x, y)||?, explain why we can't use the method of gradient descent on f(x, y), but why we can use it on L(x, y). (xi) Our goal with this project is to find the (x, y) pair(s) that make the function f(x, y) = (0,0). Explain why the results of applying the method of gradient descent on L(x, y) gives us just that. (xii) Provided is python code to implement the method of gradient descent for the function .5 L(x, y), using the initial point and a step size of y=.01. Further instructions .5 will be given in the code provided. (-5 (xiii) Use the result of the previous step (the python code) to estimate a point (x,y) that makes f(x, y) = 0. Verify that your guess makes f(x, y) = 0. # Please note that this code is minimal and is only meant for demonstration. # It contains no error checking, and the functions could be written in a 4 generalized fashion. I encourage you to rewrite this more formally 4 if you are familiar with programming. import math import numpy as np def vecLength(v): tempSum = 0.0 for xin v: tempSum += x[0] **2 return math.sqrt(tempSum) def f(A,b,x,y): temp = np.matrix([[x], [y]]) return np.matrix(np.dot (A, temp)-b) def grad(A,b,x,y): vec = np.matrix([[x], [y]]) return np.matrix(2*np. dot (np.transpose(A), np.dot (A, vec) -b)) def main(): gamma = .01 A = np.matrix([[3,1], [2,-1]]) b = np.matrix([[-1], [1]]) x = .5 y = -.5 step = 0 while vecLength(f(A,b,x,y)) > .05: step += 1 x = (np.matrix([[x], [y]]) - gamma*grad(A,b,x,y)).item(0) y = (np.matrix([[x], [y]]) gamma*grad(A,b,x,y)).item(1) print("(x,y)u-u(",x,", u",y,")") print("The_magnitudejofythejoutputyofufuatustepu", step, "uisu", 4 vecLength(f(A,b,x,y)),'\n') main()
Related Questions
You can solve a system of equations by translating it into a matrix,manipulating the matrix until it has eliminated terms,and then translating it back to equations
Answers
Answer:
True
Step-by-step explanation:
A system of equations can be solved by Translating the system of equations into a matrix by following theses steps
list all coefficients in a single matrix multiply the coefficient matrix with the variables matrixenter answers into a new matrixwrite out the resulting answer in form of equations.
Question 4 r = 1 + 2 cos 0 and r = 2 meet in the two points for which (round your answer to two decimals) 0 = ±
Answers
The two curves r = 1 + 2 cos θ and r = 2 intersect at two points. The values of θ where the curves intersect can be found by setting the equations equal to each other and solving for θ.
To find the points of intersection, we set the two equations equal to each other:
1 + 2 cos θ = 2
Simplifying the equation, we get:
2 cos θ = 1
Dividing both sides by 2, we have:
cos θ = 1/2
From trigonometric values, we know that cos θ = 1/2 at θ = π/3 and θ = 5π/3.
Therefore, the curves r = 1 + 2 cos θ and r = 2 intersect at two points. The angles at which the curves intersect are θ = π/3 and θ = 5π/3. These points correspond to the values of θ where the curves overlap. The exact coordinates of the points of intersection can be found by substituting these values of θ into either of the original equations.
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What is the simplest form of 3/3/8 + 5/12 help pleaseeee
Answers
Answer:
it is 27/50 is already in simplist form
Step-by-step explanation:
brainliest plzzzz
Answer:
3.791666 in decimals.
91/24 in fraction form.
Step-by-step explanation:
Hope it helps.
What is prime notation?
Answers
Answer:
A prime notation is the new image after a figure is moved. For each time a figure is fixed to a new spot, it gets another notation.
Step-by-step explanation:
Prime notations are represented like this.
Not moved ACBD, Moved A'B'C'D', Moved again, A''B''C''D'', and so forth.
Find the value of x. Show each step.
0.15x+(0.15-5-x)*0.2=0.1
Answers
Answer:
-21.4
Step-by-step explanation:
0.15x + 0.2(0.15-5-x) = 0.1
0.15x + 0.03 - 1 - 0.2x = 0.1
0.15x - 0.2x = 0.1 -0.03 + 1
-0.05x = 1.07
0.05x = -1.07
x = -21.4
find the absolute maximum and minimum values of f on the set d. f(x, y) = xy2 1, d = {(x, y) | x ≥ 0, y ≥ 0, x2 y2 ≤ 3} absolute maximum value absolute minimum value need help?
Answers
The absolute maximum value is 3√3, and the absolute minimum value is 3 on the set d.
What is function?In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the absolute maximum and minimum values of the function f(x, y) = xy² on the set d = {(x, y) | x ≥ 0, y ≥ 0, x² y² ≤ 3}, we can employ the method of Lagrange multipliers. This method allows us to optimize a function subject to certain constraints.
Let's define the function g(x, y) = x² y² - 3, which represents the constraint x² y² ≤ 3. We can now set up the following equations:
1. ∇f = λ∇g
2. x² y² = 3 (constraint equation)
Here, ∇f represents the gradient of f(x, y), and ∇g represents the gradient of g(x, y). λ is the Lagrange multiplier.
First, let's calculate the partial derivatives of f(x, y) and g(x, y):
∇f = (∂f/∂x, ∂f/∂y) = (y², 2xy)
∇g = (∂g/∂x, ∂g/∂y) = (2xy², 2x²y)
Setting up the equations:
1. y² = λ * 2xy²
2. 2xy = λ * 2x²y
3. x² y² = 3 (constraint equation)
From equation 1, we can deduce two possibilities:
a) y² = 0 (which implies y = 0)
b) λ = 1/2x
For case a) y = 0, substituting it into equation 3 gives us x² * 0² = 3, which is not possible since x² * 0 = 0 ≠ 3. Therefore, case a) is not valid.
Now let's consider case b) λ = 1/2x. Substituting this into equation 2, we get:
2xy = (1/2x) * 2x²y
2xy = xy
Cancelling out the common factors of xy, we have x = 1.
Substituting x = 1 into equation 3, we find:
1 * y² = 3
y² = 3
y = √3
Thus, we have the critical point (1, √3) that satisfies the constraints.
Next, we need to check the boundaries of the feasible region, which is defined by x ≥ 0, y ≥ 0, and x² y² ≤ 3.
When x = 0, the constraint equation becomes 0 * y² = 3, which is not valid.
When y = 0, the constraint equation becomes x² * 0² = 3, which is not valid.
Now, let's consider the boundary when x² y² = 3:
When x = √3 and y = √3, the constraint equation is satisfied.
In summary, we have the following critical points and boundary points:
- Critical Point: (1, √3)
- Boundary Point: (√3, √3)
Finally, we need to evaluate the function f(x, y) = xy² at these points to find the absolute maximum and minimum values.
For the critical point (1, √3):
f(1, √3) = 1 * (√3)² = 1 * 3 = 3
For the boundary point
(√3, √3):
f(√3, √3) = √3 * (√3) = √3 * 3 = 3√3
Therefore, the absolute maximum value is 3√3, and the absolute minimum value is 3 on the set d.
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what is the answer 6u+2(u-8) - 4
Answers
Answer:
8u - 20
Step-by-step explanation:
Estimate)the following quantities:
What is 1/3 of 7 ?
Answers
Answer:
2.333
or
7/3
Step-by-step explanation:
7(1/3)
7/1 x 1/3+
7/3
64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number of US adults who have very little confidence in newspapers is a exactly 5 be at least six and C less than four
Answers
Answer:
A) 0.1636
B) 0.7292
C) 0.0305
Step-by-step explanation:
This is a binomial probability distribution question that follows;
P(X = x) = nCx × p^(x) × q^(n - x)
In this case, p = 64% = 0.64
q = 1 - p = 1 - 0.64 = 0.36
Thus;
A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636
B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424
P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462
P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642
P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649
P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115
Thus;
P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115
P(x ≥ 6) = 0.7292
C) P(x < 4) = P(0) + P(1) + P(2) + P(3)
From online binomial probability calculator, we have;
P(x < 4) = 0.0305
under what circumstances is a discretized b state matrix equivalent to a continuous time b state matrix
Answers
A continuous time system can behave roughly throughout a variety of periods using a discretized state matrix. A continuous time condition matrix should be used in its place if these requirements are not satisfied since a discretized state matrix might not adequately depict the performance of a continuous time system.
A continuous time condition matrix is a matrix that is used to indicate the state of a system at any moment, as opposed to a discretized state matrix, which is used to describe the status of a system at discrete time intervals. Under the following conditions, a discrete-time state matrix is identical to a time series state matrix:
The system may be regarded as being in stable equilibrium at each time point since the time gaps between every discretization are short enough. This indicates that the behavior of the system does not drastically vary from one-time point to the next.
Over the time frames between each discretization, a linear model accurately predicts the behavior of the system. This means that the behavior of the system can be precisely predicted by a linear equation of the type "Ax = Bu," where A as well as B are matrices and x as well as u are vectors that, respectively, represent the system's state and input.
Over the intervals between each discretization, the system's input remains constant. This indicates that the system's input does not drastically vary from one-time point to the next.
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A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to the height of 7 centimeters. Find the volume of empty space in the cylinder.
Answers
Answer:
volume of empty space = 141.3 cm³
Step-by-step explanation:
volume of empty space = volume of the cylinder - volume of water
First, we need to calculate the volume of the container
volume of a cylinder = πr²h
where r = radius of the container and h is the height of the container
r = 3cm and h = 12 cm π is a constant which is ≈ 3.14
volume of a cylinder = πr²h
=3.14 × 3²×12
=3.14×9×12
=339.12 cm³
We will proceed to find the volume of water
since liquid will take the shape of its container,
then volume of water = πr²h
r is the radius of the container and h is the height of the water
r = 3cm and h = 7cm
volume of water = πr²h
= 3.14 ×3²×7
=3.14×9×7
=197.82 cm³
volume of empty space = volume of the cylinder - volume of water
=339.12 cm³ - 197.82 cm³
= 141.3 cm³
OR
WE CAN SOLVE DIRECTLY
height of empty space = height of container - height of water
= 12 - 7
=5 cm
volume of empty space = πr²h
=3.14×3²×5
=3.14×9×5
=141.3 cm³
volume of empty space = 141.3 cm³
The volume of the empty space in the cylinder is equal to the difference between the volume of the cylinder and the volume of water in the cylinder.
The volume of the cylinder can be calculated using the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
V = π(3 cm)^2(12 cm)
V ≈ 339.3 cubic centimeters
The volume of water in the cylinder can be calculated by multiplying the cross-sectional area of the cylinder by the height of the water:
V_water = πr^2h_water
where V_water is the volume of water and h_water is the height of the water.
Substituting the given values, we get:
V_water = π(3 cm)^2(7 cm)
V_water ≈ 197.9 cubic centimeters
Therefore, the volume of empty space in the cylinder is:
V_empty = V - V_water
V_empty ≈ 339.3 - 197.9
V_empty ≈ 141.4 cubic centimeters
So, the volume of empty space in the cylinder is approximately 141.4 cubic centimeters.
Verify that the inverse of A™ is (A-')?. Hint: Use the multiplication rule for tranposes, (CD)? = DCT.
Answers
The inverse of the transpose of matrix A is equal to the transpose of the inverse of matrix A.
To verify that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1), we can use the multiplication rule for transposes, which states that (CD)^T = D^T * C^T.
Let's assume that A is an invertible matrix. We want to show that (A^T)^-1 = (A^-1)^T.
First, let's take the inverse of A^T:
(A^T)^-1 * A^T = I,
where I is the identity matrix.
Now, let's take the transpose of both sides:
(A^T)^T * (A^T)^-1 = I^T.
Simplifying the equation:
A^-1 * (A^T)^T = I.
Since the transpose of a transpose is the original matrix, we have:
A^-1 * A^T = I.
Now, let's take the transpose of both sides:
(A^-1 * A^T)^T = I^T.
Using the multiplication rule for transposes, we have:
(A^T)^T * (A^-1)^T = I.
Again, since the transpose of a transpose is the original matrix, we get:
A * (A^-1)^T = I.
Now, let's take the transpose of both sides:
(A * (A^-1)^T)^T = I^T.
Using the multiplication rule for transposes, we have:
((A^-1)^T)^T * A^T = I.
Simplifying further, we get:
A^-1 * A^T = I.
Comparing this with the earlier equation, we see that they are identical. Therefore, we have verified that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1).
In conclusion, (A^T)^-1 = (A^-1)^T.
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suppose that a data set consisting of the lengths (in millimeters) of hummingbirds' beaks is left skewed (possibly because of the inclusion of young hummingbirds in the sample). after these lengths are standardized, which best describes their unit of measurement? group of answer choices millimeters centimeters meters inches standard deviations above the mean none of the other answers
Answers
The unit of measurement after standardization of a left-skewed data set of hummingbirds' beaks lengths would be "standard deviations above the mean".
To answer your question, after standardizing the lengths of hummingbirds' beaks in a left-skewed data set, the best unit of measurement to describe their lengths would be "standard deviations above the mean."
This is because standardization involves subtracting the mean of the data set from each value and dividing the result by the standard deviation. This process results in a new set of values that are expressed in terms of standard deviations from the mean. Therefore, the unit of measurement is no longer in millimeters or any other physical unit, but in standardized units.
Standardizing the data allows for easier comparison by converting the original measurements to units of standard deviations from the mean.
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is the following a probability model? what do we call the outcome "red"?
Answers
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
Answers
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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A researcher randomly selects and interviews fifty male and fifty female teachers.
a. systematic
b. convenience
c. random
d. stratified
e. cluster
Answers
The sampling method described in the scenario is d. stratified sampling.
In stratified sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables. The researcher then randomly selects samples from each stratum in proportion to their representation in the population. This approach ensures that the sample is representative of the population's diversity.
In this case, the researcher has divided the population of teachers into two strata: male teachers and female teachers. By randomly selecting 50 male teachers and 50 female teachers, the researcher is ensuring that both genders are represented in the sample.
The researcher's intention is to have a sample that reflects the gender distribution of teachers in the population accurately. Therefore, stratified sampling is the appropriate method in this scenario.
Other sampling methods, such as systematic sampling, convenience sampling, random sampling, and cluster sampling, are not applicable because they do not specifically address the need to ensure proportional representation of genders in the sample.
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Goal: Your goal is to use limits to maximize the area of a rectangular playground, given a certain amount of fencing. Role: You are in charge of building a rectangular play area for Lil' Tikes Preschool, where your little sister, who is 3, goes to school. Audience: The headmaster of Lil' Tikes Preschool wants the play area to be the biggest size possible, because the kids like to run, but has limited you to only a certain amount of fencing, because of the budget, which has been cut significantly. Your audience is also the kids at the preschool, because they really do like to run, especially your sister. Situation: The context you find yourself in is that you have been given 24 meters of fencing material. You must maximize the rectangular area given this 24 meters of fencing. There are many rectangles that you can make using 24 meters of fencing, but only one that maximizes the area for the children. Product, Performance, and Purpose: 1. Start with the equation for perimeter of this rectangle 2L + 2W = 24. 2. Solve this equation for L, to get the Length in terms of W. 3. Use this length in terms of W, to write an equation for the Area (remember, A=LW) in terms of W. This equation is your function, f(x)=your area equation. 4. Graph this function in your graphing calculator and use the table to find the x-value(width) that corresponds to the maximum y-value(which is area). This is the width that will maximize the area. Show your table. 5. To support your answer, use direct substitution to find the limit as x approaches this width of the function. This answer should match the y-value you found in the previous question. 6. Finally, state the dimensions, length and width, of the rectangle with perimeter 24 meters that gives the rectangle a MAXIMUM AREA.
Answers
The dimensions of the rectangle with a perimeter of 24 meters that give the maximum area are length = 6 meters and width = 6 meters.
1. Start with the equation for the perimeter of the rectangle: 2L + 2W = 24, where L is the length and W is the width.
2. Solve this equation for L in terms of W:
2L = 24 - 2W
L = 12 - W/2
3. Use the length in terms of W to write an equation for the area (A = LW):
A = (12 - W/2)W
A = 12W - (W^2)/2
4. Graph this function, f(x) = 12x - (x^2)/2, in a graphing calculator and create a table to find the maximum area.
Table:
| W | A |
|-------|-------|
| 0 | 0 |
| 2 | 20 |
| 4 | 32 |
| 6 | 36 |
| 8 | 32 |
| 10 | 20 |
| 12 | 0 |
From the table, we see that the maximum area occurs when the width (W) is 6 meters, resulting in an area (A) of 36 square meters.
5. To support the answer, we can use direct substitution to find the limit as x approaches 6 of the function:
lim(x→6) (12x - (x^2)/2) = 36
The limit matches the maximum area we found in the previous step.
The dimensions of the rectangle with a perimeter of 24 meters that give the maximum area are length = 6 meters and width = 6 meters. The maximum area is 36 square meters.
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What is the perimeter of a right angle if the hypotenuse is 15 cm in one of the legs is 9 cm
Answers
Answer:
Step-by-step explanation:
In a certain restaurant, customers must pay Php 150 for the basic pizza
and Php 5 for each additional slice of meat topping they wish to have in
their pizza. How much will the pizza cost if it has a dozen slices of meat
toppings? Give the linear equation.
*
Answers
Answer:
Php 210
Step-by-step explanation:
Basic pizza = Php 150
each additional slice of meat topping = Php 5
y = 150 + 5x
Where,
y = Total cost of pizza
x = number of additional meat topping
How much will the pizza cost if it has a dozen slices of meat
toppings?
A dozen slices of meat
toppings = 12 slices of meat
toppings
y = 150 + 5x
= 150 + 5(12)
= 150 + 60
= 210
y = Php 210
Using a linear function, it is found that the pizza will cost Php 210.
A linear equation has the following format:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.In this problem:
Basic pizza costs Php 150, thus \(b = 150\)Each additional slice costs Php 5, thus \(m = 5\)Then:
\(y = 5x + 150\)
The cost if it has a dozen slices of meat toppings is y when x = 12, thus:
\(y = 5(12) + 150 = 210\)
The pizza will cost Php 210.
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Find the missing variable in the diagram below.
Answers
60 + (3x - 13) = (5x + 1)
60 + 3x - 13 = 5x + 1
3x - 5x = 1 - 60 + 13
-2x = -46
-2x / -2 = -46 / -2
x = 23
Answer: x = 23
4p+3=9.8 what does p equal
Answers
Answer:
p = 1.7
Step-by-step explanation:
Step 1: Write equation
4p + 3 = 9.8
Step 2: Solve for p
Subtract 3 on both sides: 4p = 6.8Divide both sides by 4: p = 1.7The above figure is a special trapezoid. Explain the relationship between the mB and mC
Answers
Answer:
They are supplementary
Step-by-step explanation:
Since AB and DC are parallel, then the alternate interior angles are congruent because there is transversal cutting the parallel lines (BC). So m<B is supplementary to m<C
Which transformation carries the trapezoid onto itself?
O a reflection across the line x = -1
O a rotation of 180°about the origin
O a rotation of 180° about the point (-1.0)
Answers
Answer:
a rotation of 180° about the origin
In a quiz consist of 10 questions,+2 marks are given for a correct answer, -1 marks for an incorrect answer and 0 marks for not attempting a question. Radhika got 8 correct answers and 2 wrong answers. What is her total score?
Answers
======================================================
Work Shown:
c = number of correct answers
w = number of wrong answers
n = number of questions not attempted
2c = points you get from all the correct answers
-1w = points you get from all the wrong answers
0n = points you get from all the questions attempted
2c-1w+0n = 2c-w = total number of points
In this case, she got 8 correct answers and 2 wrong answers. So c = 8 and w = 2 which leads to
2c-w = 2*8-2 = 16-2 = 14
Her total score is 14.
Please help me thanks :))
Answers
Answer:
What do you need help with?
Cora currently bowls an average of 187 points per game, which is 70% higher than her average score was last year. What was her average last year? pls answer fastttt
Answers
Her average score last year is 110
How to find average score ?He bowls an average of 187 points per game. This is 70% higher than her average score was last year.
The average score is the sum of all the scores divided by the number of time she made an attempt bowling.
Therefore,
let her average score last year = x
Hence,
70% of x + x = 187
70 / 100 × x + x = 187
0.7x + x = 187
1.7x = 187
divide both sides by 1.7
1.7x / 1.7 = 187 / 1.7
x = 110
Therefore, her average score last year was 110.
learn more on average score here:https://brainly.com/question/16788668
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1 Which expression best represents the opposite of the opposite of 8 1/4 ?
A) -(+8 1/4)
B) -(-8 1/4)
C) +(-8 1/4)
D) +(+8 1/4)
Answers
Answer:
b.
Step-by-step explanation:
We have been given a number 8¼. We are asked to find the opposite of the opposite of our given expression.
Since our given number in positive, so opposite of our given number will be:
–8¼
The opposite of new number will be:
–(–8¼)
Therefore, the expression –(–8¼) represents the opposite of the opposite of 8¼ and option 'b' is the correct
find the value of w and x. Round the answers to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
sin50=w/10
w=10sin50
w=7.66
sinx=w/11
x=arcsin(w/11)
x=arcsin(10sin50/11)
x=44.14 degrees
sinx= -29.3
solve the equation
Answers
Answer:
There is actually no solution.
The range of sines are -1 ≤ y ≤ 1. And -29.3 does not fall into the range, making this solution not logically possible to come to.
what is the answer ?
lvl - ez
Answers
Answer:
2
Step-by-step explanation: