Which expressions will help you find the surface area of this net? Select all that apply.

a) A nonzero element X in W is:

X = [ -10  -4 ]
       [   8    6 ]

b) The matrix Y is in V because it's a symmetric 2x2 matrix, but it's not in W since it can't be formed by any linear combination of matrix A.

a. To find a nonzero element X in W, we need to find a linear combination of the given matrix in the span of W. Let's denote the given matrix as A:

A = [ -5  -2 ]
       [  4    3 ]

Since W = span{A}, a linear combination of A would be:

X = k * A

where k is any scalar value. Let's choose k = 2:

X = 2 * A = [ -10  -4 ]
                [   8    6 ]

So, a nonzero element X in W is:

X = [ -10  -4 ]
       [   8    6 ]

b. To find an element Y in V (the vector space of symmetric 2x2 matrices) that is not in W, we need a matrix that cannot be formed by any linear combination of the given matrix A.

A symmetric 2x2 matrix has the form:

Y = [ a  b ]
       [ b  c ]

Let's choose a symmetric matrix that doesn't have the same pattern as A. For example:

Y = [ 1  2 ]
       [ 2  1 ]

This matrix Y is in V because it's a symmetric 2x2 matrix, but it's not in W since it can't be formed by any linear combination of matrix A.

Learn more about "matrix": https://brainly.com/question/11989522

#SPJ11

Answer:

no because it put your neighbors at risk and you might get sued

Step-by-step explanation:

this has been on the news before

The required expression is v = √2ay.

Let acceleration is given by: a

and initial velocity is given by: v

So, The maximum height(y) is

y= v² sinθ / 2a

As, θ=90 then

y = v² /2a

v² = 2ay

v = √2ay

Thus, the required expression is v = √2ay.

Learn more about Expression here:

https://brainly.com/question/9584905

#SPJ1

Answer: If ABC measures 122 degrees and ADC is an inscribed angle that intercepts the same arc as a central angle ABC, then ADC measures half of ABC which is 61 degrees

Step-by-step explanation:

Answer:

61 degrees

Step-by-step explanation

Angle extended to the circumference is half the angle at the centre

ADC = ½ ABC = ½ × 122 = 61

Note that the coordinates of V after it has been reflected over the x-axis will be: V' (3, -5)

The coordinates given are

V (3, 5)

W(5,8)

X (9, 6)

y (3, 3)

When point is reflected over the x- ais, it's y - coordinate takes on a polarized sign that is it goes from positive to negative of vice versa while the x-cordinte remains the same

So after the image on point v hs been reflected, the new coordinates for V = V' = (3, -5)

Learn more about reflection:
https://brainly.com/question/29093485
#SPJ1

Bruce Lovegren paid a monthly annual premium of $125 for his $15,000 10-year term life insurance policy.

The monthly premium can be calculated by dividing the total cost of the policy by the number of months in the policy term:

monthly premium = total cost of policy / number of months in policy term

The total cost of the policy can be calculated by multiplying the annual premium by the number of years in the policy term:

total cost of policy = annual premium * number of years in policy term

The number of months in a year is 12.

Bruce Lovegren purchased the policy on April 14, 1977, so the policy was in effect for 10 years and 8 months, or 128 months.

The annual premium as follows:

total cost of policy = $15,000

number of years in policy term = 10

annual premium = total cost of policy / number of years in policy term

annual premium = $15,000 / 10

annual premium = $1,500

monthly premium = annual premium / 12

monthly premium = $1,500 / 12

monthly premium = $125

Learn more about annual premium visit: brainly.com/question/25280754

#SPJ4

The PMT or monthly contribution is pegged at $764.57

Individuals employ a financial tactic known as a retirement plan to accumulate and invest funds, which will enable them to have access to revenue during their retirement period.

The aim of this approach is to certitude that these individuals possess ample income to maintain their standard of living and fulfil any additional monetary requirements once they terminate employment.

Read more about retirement here:

https://brainly.com/question/28128413

#SPJ1

Answer:

Step-by-step explanation:

Answer

Equation of a straight line

y = -0.33x + 4.995

Answer:

Step-by-step explanation:

Find the midpoint of the segment by using the formula [(x1 + x2)/2, (y1 + y2)/2]. The midpoint is [(2 + 6)/2, (1 + 3)/2] = (4, 2).

Find the slope of the segment by using the formula (y2 - y1)/(x2 - x1). The slope is (3 - 1)/(6 - 2) = 1/2.

Find the negative reciprocal of the slope by flipping the fraction and changing the sign. The negative reciprocal is -2/1 or -2.

Find the equation of the perpendicular bisector by using the point-slope form y - y1 = m(x - x1), where m is the negative reciprocal and (x1, y1) is the midpoint. The equation is y - 2 = -2(x - 4).

Simplify the equation by distributing and rearranging. The equation is y = -2x + 10. This is the equation of the perpendicular bisector in slope-intercept form.

a) The coordinates of K' after the translation are given as follows: K'(-2,3).

b) The coordinates of M' after the translation are given as follows: M'(-4, 1).

The four translation rules are defined as follows:

From the vector, the composite translation rule in this problem is given as follows:

(x,y) -> (x - 6, y + 2).

The coordinates of K and M are given as follows:

K(4,1), M(2,-1).

Hence the coordinates of the translated vertices are obtained applying the operation as follows:

K'(-2, 3) and M'(-4, 1).

More can be learned about translation at brainly.com/question/29209050

#SPJ1

D'Angelo is reviewing potential sources for his research writing assignment and is considering an article with a different point of view. In this situation, he is using the Relevance aspect of the CRAAP method to determine if the article is appropriate for his paper.

The CRAAP method stands for Currency, Relevance, Authority, Accuracy, and Purpose, and helps evaluate the credibility and reliability of sources.

In this scenario, D'Angelo is reviewing an article that covers his topic, but from a different point of view that he is not considering in his thesis. While the article may be interesting, it may not be directly relevant to his research paper if it does not contribute to his thesis statement. D'Angelo is using the relevance aspect of the CRAAP method to evaluate whether or not to include this article in his research writing assignment. By doing so, he is ensuring that he uses sources that are directly relevant to his thesis and will help support his arguments.

To learn more about thesis visit : https://brainly.com/question/2094985

#SPJ11

Answer:

3

Step-by-step explanation:

The general solution to the differential equation is:

y(t) = y_h(t) + y_p(t) = e^(-2t)(c1 cos(3t) + c2 sin(3t)) - (1/170) e^(2t)cos(t) + (3/170) e^(2t)sin(t)

We have the differential equation:

d^2y/dt^2 + 4 dy/dt + 13y = e^(2t)cos(t)

The characteristic equation is:

r^2 + 4r + 13 = 0

Using the quadratic formula, we get:

r = (-4 ± sqrt(4^2 - 4(13)))/(2) = -2 ± 3i

So the general solution to the homogeneous equation is:

y_h(t) = e^(-2t)(c1 cos(3t) + c2 sin(3t))

To find a particular solution to the non-homogeneous equation, we can use the method of undetermined coefficients. Since e^(2t)cos(t) is of the form:

e^(at)cos(bt)

We guess a particular solution of the form:

y_p(t) = A e^(2t)cos(t) + B e^(2t)sin(t)

Taking the first and second derivatives, we get:

y'_p(t) = 2A e^(2t)cos(t) - A e^(2t)sin(t) + 2B e^(2t)sin(t) + B e^(2t)cos(t)

y''_p(t) = 4A e^(2t)cos(t) - 4A e^(2t)sin(t) + 4B e^(2t)sin(t) + 4B e^(2t)cos(t) + 2A e^(2t)sin(t) + 2B e^(2t)cos(t)

Substituting these back into the original equation, we get:

(4A + 2B) e^(2t)cos(t) + (4B - 2A) e^(2t)sin(t) + 13(A e^(2t)cos(t) + B e^(2t)sin(t)) = e^(2t)cos(t)

We can equate coefficients of like terms on both sides to get a system of equations:

4A + 2B + 13A = 1

4B - 2A + 13B = 0

Solving for A and B, we get:

A = -1/170

B = 3/170

So a particular solution to the non-homogeneous equation is:

y_p(t) = (-1/170) e^(2t)cos(t) + (3/170) e^(2t)sin(t)

Therefore, the general solution to the differential equation is:

y(t) = y_h(t) + y_p(t) = e^(-2t)(c1 cos(3t) + c2 sin(3t)) - (1/170) e^(2t)cos(t) + (3/170) e^(2t)sin(t)

To learn more about undetermined visit:

https://brainly.com/question/31392685

#SPJ11

Answer:

[tex]f(x) = 1000 {(0.80)}^{x - 1} [/tex]

B is the correct function.

The matrix 2x2 of A is:

[20  30]
[ 0 -15]

What is the eigenvector?

The eigenvector is a vector that is associated with a set of linear equations. The eigenvector of a matrix is also known as a latent vector, proper vector, or characteristic vector. These are defined in the reference of a square matrix.

To solve this problem, we need to use the fact that a matrix can be diagonalized only if it has a set of linearly independent eigenvectors.

First, we need to find the eigenvectors and eigenvalues of the matrix. Let A be the matrix we want to find.

We know that [2 3] is an eigenvector of A with eigenvalue 10, so we have:

A[2 3] = 10[2 3]

Multiplying out the matrices, we get:

[2 3] [a b] = [20 30]

where a and b are the unknown entries of A. Solving this system of equations, we get a = 5 and b = 10. Therefore, the matrix A is:

[5 10]
[0 3]

Now, we need to check if [0 3] is also an eigenvector of A with eigenvalue -5:

A[0 3] = -5[0 3]

[5 10] [0 3] = [0 -15]

Multiplying out the matrices, we get:

[0 30] = [0 -15]

This is a contradiction since the two matrices are not equal. Therefore, [0 3] is not an eigenvector of A with eigenvalue -5.

In summary, the matrix A that satisfies the given conditions is:

[5 10]
[0 3]

with eigenvectors [2 3] and [0 1] and eigenvalues 10 and 3, respectively.
To find a 2x2 matrix with eigenvectors [2, 3] and [0, 3] and eigenvalues 10 and -5, respectively, follow these steps:

Step 1: Associate the eigenvectors with their respective eigenvalues:
- Eigenvector [2, 3] has eigenvalue 10.
- Eigenvector [0, 3] has eigenvalue -5.

Step 2: Write the eigenvalue-eigenvector equations:
- 10 * [2, 3] = A * [2, 3]
- (-5) * [0, 3] = A * [0, 3]

Step 3: Expand the equations:
- 10 * [2, 3] = [20, 30]
- (-5) * [0, 3] = [0, -15]

Step 4: Create the matrix A using the expanded equations:
A = [20, 30; 0, -15]

So, the 2x2 matrix A is:
[20  30]
[ 0 -15]

To know more about eigenvalues and eigenvectors visit:

https://brainly.com/question/30968941

#SPJ11

The probability of winning the prize if you switch is 2/3.

When you initially choose a box, there is a 1/3 chance that the prize is in your chosen box and a 2/3 chance that it is in one of the other two boxes.

When the dealer opens one of the other two boxes and shows it to be empty, the probability that the prize is in the remaining unopened box is still 2/3.

This is because the dealer has effectively given you new information that eliminates one of the two boxes you did not choose, but does not affect the probability distribution of the prize in the remaining two boxes.

Thus, if you switch to the other unopened box, you have a 2/3 chance of winning the prize, whereas if you stick with your original box, you have only a 1/3 chance of winning. Therefore, it is advantageous to switch.

To learn more about switch, click here:

https://brainly.com/question/9431503

#SPJ11

The solution to the system is [tex]$\$\left(x_{-} 1, x_{-} 2\right)=(4,-3) \$$[/tex].

To solve the system, we can use the method of elimination or Gaussian elimination.

We start by writing the system in augmented matrix form:

[tex]$$\left[\begin{array}{cc|c}2 & 4 & -4 \\5 & 7 & 11\end{array}\right]$$[/tex]

We can eliminate the [tex]$\$ x_{-} 1 \$$[/tex] variable from the second equation by subtracting 5 times the first equation from the second:

[tex]$$\left[\begin{array}{cc|c}2 & 4 & -4 \\5-5(2) & 7-5(4) & 11-5(-4)\end{array}\right] \Rightarrow\left[\begin{array}{cc|c}2 & 4 & -4 \\-3 & -13 & 31\end{array}\right]$$[/tex]

Next, we can eliminate the [tex]$\$ x_{-} 2 \$[/tex]$ variable from the first equation by subtracting twice the second equation from the first:

[tex]$$\left[\begin{array}{cc|c}2-2(-13) & 4-2(7) & -4-2(31) \\-3 & -13 & 31\end{array}\right] \Rightarrow\left[\begin{array}{cc|c}28 & -10 & -66 \\-3 & -13 & 31\end{array}\right]$$[/tex]

We can simplify this further by dividing the first row by 2 :

[tex]$$\left[\begin{array}{cc|c}14 & -5 & -33 \\-3 & -13 & 31\end{array}\right]$$[/tex]

Now we can solve for [tex]$\$ x_{-} 2 \$$[/tex] in terms of [tex]$\$ x_{-} 1 \$$[/tex] by multiplying the first equation by 13 and adding it to the second equation:

[tex]$$13(14) x_1-13(5) x_2-13(33)-3(-13) x_1-3(-13) x_2=13(31)-3(14) x_1$$[/tex]

Simplifying:

[tex]$$\begin{aligned}& 169 x_1-91 x_2-429+39 x_1+39 x_2=403 \\& 208 x_1=832 \\& x_1=4\end{aligned}$$[/tex]

Substituting back into the first equation, we get:

[tex]$$2(4)+4 x_2=-4 \Rightarrow x_2=-3$$[/tex]

Therefore, the solution to the system is [tex]$\$\left(x_{-} 1, x_{-} 2\right)=(4,-3) \$$[/tex].

To learn more about elimination visit:

https://brainly.com/question/29625952

#SPJ11

The length of the two diagonals of a rhombus if one is twice as long as the other are 10 and 20.

Given that the length of two diagonals of the rhombus are 10 and 20.

Let d1 and d2 be the lengths of the diagonals of the rhombus. Since the area of the rhombus is 100, we have:

d1 * d2 / 2 = 100

We are also given that one diagonal is twice as long as the other, so:

d1 = 2d2

Substituting d1 = 2d2 into the first equation, we get:

2d2 * d2 / 2 = 100

d2^2 = 100

d2 = 10 or -10 (we ignore the negative solution)

Since d1 = 2d2, we have d1 = 20.

Therefore, the length of the two diagonals of the rhombus are 10 and 20.

Know more about rhombus here:

https://brainly.com/question/88523

#SPJ11

We have shown that A(-) = F(a + dF(a(-)), as required.

To prove that A(-) = F(a + dF(a(-)), we need to show that the affine function A coincides with the function F at every point x in RP.

Let x be an arbitrary point in RP. We can write x = a + t, where t is a vector in the tangent space of RP at a. Since U is open in RP, we can choose a small enough neighborhood of a in U such that a + t is also in U.

Since F is differentiable at a, we can apply the multivariable chain rule to get:

dF(a + t) = dF(a) + J(a)t + o(||t||)

where J(a) is the Jacobian matrix of F at a, and o(||t||) is a term that goes to zero faster than ||t|| as t approaches zero.

Since A is affine, we can write:

A(x) = A(a + t) = A(a) + Bt

where B is a constant matrix. Since A(a) = F(a) and dA(a) = dF(a), we have:

A(x) = F(a) + dF(a)t + o(||t||)

Comparing the two expressions for A(x), we see that we can choose B = dF(a) and the remainder term o(||t||) is the same in both expressions. Therefore:

A(x) = F(a) + dF(a)t + o(||t||) = F(a + t) + o(||t||) = F(x) + o(||t||)

Since o(||t||) goes to zero faster than ||t|| as t approaches zero, we have:

A(x) = F(x)

for all x in RP. Therefore, we have shown that A(-) = F(a + dF(a(-)), as required.

To learn more about differentiable visit:

https://brainly.com/question/29573028

#SPJ11

Using the distributive property, the expanded form of (−1/4)(−8x+12y) is c) 2x - 3y.

The distributive property states that when you multiply a number or a variable expression by a sum or a difference, you can distribute the multiplication over each term within the parentheses.

So, to expand the expression (−1/4)(−8x+12y), we can apply the distributive property by multiplying -1/4 to each term inside the parentheses:

(−1/4)(−8x+12y) = (−1/4) × (−8x) + (−1/4) × (12y)

= (1/4) × 8x − (1/3) × 12y

= 2x − 3y

Therefore, the expanded form of (−1/4)(−8x+12y) is 2x − 3y. Hence, the correct answer is (c) 2x-3y.

To learn more about distributive property here:

https://brainly.com/question/29048637

#SPJ1

To determine the smallest angle of the right triangle, you can use the inverse tangent function, also known as arctan.
First, measure the lengths of the short leg (the dry-erase marker) and the long leg (the whiteboard on your table). Let's call the length of the short leg "a" and the length of the long leg "b".
Then, use the formula:
tan(theta) = a/b
This formula relates the tangent of an angle (theta) to the ratio of the opposite side (a) to the adjacent side (b) in a right triangle.
To solve for the angle theta, take the inverse tangent (arctan) of both sides:
theta = arctan(a/b)

This will give you the angle in radians. To convert to degrees, simply multiply by 180/pi.
So, by measuring the lengths of the short and long legs of the right triangle and using the formula above, you can accurately determine the smallest angle of the triangle.

To learn more about Right Triangle : https://brainly.com/question/26474938

#SPJ11

The probability that (-3) < Y < (-2) for a sample size of 36 is approximately 0.0385.

Given, Yi, i=1, 2, ,…,n, are i.i.d. random variables, each distributed N(-3,81),

i.e., Yi ~ N(-3,81)

We need to find Pr[(-3) < Y < (-2)] for a sample size of 36.

First, we need to standardize the variable Y as follows:

Z = (Y - μ) / σ

where μ is the mean of Y, and σ is the standard deviation of Y.

Here, μ = -3 and σ = 9 (since the standard deviation is the square root of the variance, which is given as 81).

So,

Z = (Y - (-3)) / 9 = (Y + 3) / 9

Now, we need to find Pr[(-3) < Y < (-2)] in terms of Z:

Pr[(-3) < Y < (-2)] = Pr[(-3 + 3)/9 < Z < (-2 + 3)/9]

= Pr[0 < Z < 1/9]

We can use the standard normal distribution table or calculator to find the probability of Z lying between 0 and 1/9.

Using a standard normal distribution table or calculator, we get:

Pr[0 < Z < 1/9] ≈ 0.0385

Therefore, the probability that (-3) < Y < (-2) for a sample size of 36 is approximately 0.0385.

To learn more about variables visit:

https://brainly.com/question/17344045

#SPJ11

Answer: The probability of picking a red candy is 14/63, the probability of picking a blue candy is 14/63, the probability of picking a green candy is 9/63, the probability of picking a brown candy is 15/63, the probability of picking an orange candy is 3/63, and the probability of picking a yellow candy is 8/63. These probabilities can be calculated by dividing the number of candies of each color by the total number of candies in the bag.

Step-by-step explanation:

Answer: vvvvv

Step-by-step explanation:

The odds of getting a green M&M can be calculated by dividing the number of green M&M candies by the total number of candies in the bag.

Number of green M&Ms = 9

Total number of candies = 14 + 14 + 9 + 15 + 3 + 8 = 63

Odds of getting a green M&M = Number of green M&Ms / Total number of candies

Odds of getting a green M&M = 9/63 = 1/7

The probability of getting a green M&M can be calculated by dividing the number of green M&M candies by the total number of candies in the bag.

Probability of getting a green M&M = Number of green M&Ms / Total number of candies

Probability of getting a green M&M = 9/63 = 0.14285714285714285 or approximately 14.29% (rounded to two decimal places).

Also thanks a lot, now i want m&m's

Answer:

4!/(2!2!) = 6

There are 6 possible ways that 2 of the 4 dice will land on six.

6(1/6)(1/6)(5/6)(5/6) = 25/216 = .116

B is correct.

I will pick 8th grade for this analysis, so I will look at the CCSSM for grades 7, 8, and 9.

For 7th grade:
1. 7.NS.A.1 (A): I have a strong understanding of applying operations with rational numbers, as I learned this in various math classes.
2. 7.RP.A.2 (B): I am familiar with proportional relationships, but I may need to review some specific examples to strengthen my understanding.

For 8th grade:
1. 8.EE.A.1 (A): I have a deep understanding of working with exponents, as it was a significant topic in my algebra classes.
2. 8.G.B.6 (B): I am familiar with the Pythagorean Theorem, but I may need to review some specific examples to solidify my knowledge.

For 9th grade (Algebra 1):
1. A.REI.B.3 (A): I am confident in solving linear equations, as this was a core topic in my algebra and calculus classes.
2. A.CED.A.2 (C): I understand creating equations in two variables, but I would need to review examples to ensure I fully grasp this standard.

For every standard that isn't an A or a B, I would look for examples and resources to help me better understand the concepts. For instance, for A.CED.A.2, I could find example problems involving creating and solving equations in two variables, which would help me improve my understanding of this standard.

Learn more about knowledge at https://brainly.com/question/28135429

#SPJ11

The expression 2x^5 - 7x^3 - (4x^2 - 3x^3) when evaluated is 2x^5 - 10x^3 - 4x^2

From the question, we have the following parameters that can be used in our computation:

\left(2x^{5}-7x^{3}\right)-\left(4^{x2}-3x^{3}\right)

Express properly

So, we have

2x^5 - 7x^3 - (4x^2 - 3x^3)

Open the bracket

So, we have

2x^5 - 7x^3 - 4x^2 - 3x^3

Evaluate the like terms

2x^5 - 10x^3 - 4x^2

Hence, the solution is 2x^5 - 10x^3 - 4x^2

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Use the line segment to determine the average rate of change of the function f(x) on the interval. The function y=f(x) is graphed below. Plot a line segment.:

Step-by-step explanation:

Option C, "A study shows that the average student leaves a four-year college with a student loan debt of more than $30,000", involves descriptive statistics.

The area of statistics known as descriptive statistics deals with the gathering, organizing, organizing, analyzing, interpreting, and presenting of data. It summarizes and describes the main features of a dataset, including measures of central tendency (such as mean, median, and mode) and measures of variability (such as range, standard deviation, and variance). Option C presents a descriptive statistic (the average student loan debt) that summarizes a larger dataset, making it the correct answer.

Learn more about average

https://brainly.com/question/24057012

#SPJ4

To better understand the algorithm, it would be helpful to see the complete code and understand how it iteratively compares items to find the desired item a.

The algorithm you provided is incomplete, so I cannot provide a complete answer. However, based on the information provided, the algorithm selects an item a randomly from the set S and then iteratively compares it to other items in S. The goal is to find an item a such that at least n/4 items are smaller than a and at least n/4 items are greater than a.

This algorithm is an example of a randomized approximate median algorithm, which finds an item close enough to the median of a set of numbers. While it may not always find the exact median, it provides a good approximation and runs in linear time.

To better understand the algorithm, it would be helpful to see the complete code and understand how it iteratively compares items to find the desired item a.

learn more about algorithm

https://brainly.com/question/20270335

#SPJ11