anyone know the answer?​

Answer:

8

Step-by-step explanation:

Take away the monthly price, since that's going to be included in the total price

20.55 - 4.95 = 15.60

Now, divide the remaining money by the cost per DVD

15.60 / 1.95 = 8

They have bought 8 DVDs

Hope this helps

a. The SVD of A is given by A = UΣ\(V^T\).

b. The four fundamental subspaces are:

  1. Column space (range) of A: Span{v1, v2, ..., vr}

  2. Null space (kernel) of A: Span{v(r+1), v(r+2), ..., vn}

  3. Row space (range) of \(A^T\): Span{u1, u2, ..., ur}

  4. Null space (kernel) of \(A^T\): Span{u(r+1), u(r+2), ..., um}

The Unique Value A matrix is factored into three separate matrices during decomposition. As a result, A = UDVT can be used to define the singular value decomposition of matrix A in terms of its factorization into the product of three matrices.

To find the singular value decomposition (SVD) of a matrix A, we need to perform the following steps:

(a) Find the Singular Value Decomposition (SVD):

  Let A be an m x n matrix.

  1. Compute the singular values: σ1 ≥ σ2 ≥ ... ≥ σr > 0, where r is the rank of A.

  2. Find the orthonormal matrix U: U = [u1 u2 ... ur], where ui is the left singular vector corresponding to σi.

  3. Find the orthonormal matrix V: V = [v1 v2 ... vn], where vi is the right singular vector corresponding to σi.

  4. Construct the diagonal matrix Σ: Σ = diag(σ1, σ2, ..., σr) of size r x r.

       Then, the SVD of A is given by A = UΣ\(V^T\).

(b) Write an orthonormal basis for each of the four fundamental subspaces of A:

  The four fundamental subspaces are:

  1. Column space (range) of A: Span{v1, v2, ..., vr}

  2. Null space (kernel) of A: Span{v(r+1), v(r+2), ..., vn}

  3. Row space (range) of \(A^T\): Span{u1, u2, ..., ur}

  4. Null space (kernel) of \(A^T\): Span{u(r+1), u(r+2), ..., um}

Note: The specific values for U, Σ, and V depend on the matrix A given in the problem statement. Please provide the matrix A for further calculation and more precise answers.

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If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

The selling price of the house = $64,900

Profit percent = 25%

The profit price of the house after selling,

64900 × 25/100

= $16225

Now,

The purchase price of the house,

$64900 - $16225 = $48675.

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Answer:

The product x time y is zero (0)

Step-by-step explanation:

Notice that you are given a system of two equations with two unknowns, so, let's proceed to find the unknowns by the method of substitution (easiest since it is very simple to find "y" in terms of 'x" from the second equation).

Then we use that expression to substitute for "y" in the first equation and solve for x:

\(6x=42+y\\y=6x-42\\Then:\\2x-9y=14\\can\,\,be\,\,written\,\,as:\\2x-9(6x-42)=14\\2x-54x+372=14\\-52x=-364\\x=(-364)/(-52)\\x=7\)

Now we use this result in the substitution equation to find the value of "y":

\(y=6x-42\\y=6\,(7)-42\\y=42-42\\y=0\)

Then, the product x times y is:   7 times 0 = 0

The product renders zero (0)

Given:

Equation of line is,

Step-by-step explanation:

Let, the given point of the equation of the line are (3,-1) and (0,3) i.e

(x1,y1)=(3,-1) and (x2,y2) = (0,3)

Now,

The slope of the line (m1) = y2-y1 ÷ x2-x1

= 3-(-1) ÷ 0-3

= 3+1 ÷ -3

= 4/-3

since, the lines are parallel i.e.

m1 = m2

or, m2 = -4/3

Again,

The required equation of the line passing through the point (-3,2)=(x1,y2) is

y-y1 = m2(x-x1)

or, y-2 = -4/3 ( x +3)

or, 3(y-2) = -4(x+3)

or, 3y-6 = -4x - 12

or, 4x+3y = -12+6

Therefore, 4x+3y = -6 is the right answer.

Answer: Trinomial

Step-by-step explanation:

Tri- means three terms.

The saddle points of the function is -3/2, -3/4.

To find the critical points of f(x,y) = x³ + 6x² +3y² - 12xy + 9x, we need to find where the partial derivatives are equal to zero.

Taking the partial derivative with respect to x, we get 3x² + 12x - 12y + 9 = 0.

Taking the partial derivative with respect to y, we get 6y - 12x = 0. Solving these two equations simultaneously, we get the critical point (-3/2, -3/4).

To classify this critical point, we need to look at the second partial derivatives.

Taking the second partial derivative with respect to x twice, we get 6x + 12.

Evaluating this at the critical point, we get -9. This is negative, so the critical point is a local maximum along the x-axis.

Taking the second partial derivative with respect to y twice, we get 6.

Evaluating this at the critical point, we get 9. This is positive, so the critical point is a local minimum along the y-axis.

Since the second partial derivative with respect to x and y is the same (zero), we cannot determine the behavior of the critical point in other directions.

Therefore, (-3/2, -3/4) is a saddle point.

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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the singular points of the equation sin(x)y+xy+4y=0 are (-π/2, 0), (3π/2, 0) and both of them are regular.

The given equation is sin(x)y+xy+4y=0. The equation can be written as y(sin(x)+x+4)=0This equation has 2 factors namely, y and (sin(x)+x+4)To get the singular point of the equation, we equate both factors to 0 sin(x)+x+4=0

We can find the singular point by differentiating the equation w.r.t. x, so, the derivative of sin(x)+x+4 is cos(x)+1=0 cos(x)=-1x= (2n+1)π-π/2,

where n is an integer.Then we can find the corresponding values of y. Hence the singular points are (-π/2, 0), (3π/2, 0).We need to determine whether these points are regular or irregular.The point is regular if the coefficients of y and y' are finite at that pointThe point is irregular if either of the coefficients of y and y' are infinite at that pointNow let's find out the values of y' and y'' for the given equation

y' = -[y(sin(x)+x+4)]/[sin(x)+x+4]²y'' = [y(sin(x) + x + 4)²-cos(x)y] /[sin(x)+x+4]³

For (-π/2,0) values are: y=0, y'=0, y''=0

Since both y' and y'' are finite, this point is regularFor (3π/2,0) values are: y=0, y'=0, y''=0Since both y' and y'' are finite, this point is regular

Singular points of the differential equation are the points where the solution is not continuous or differentiable. The solution breaks down at such points. These are the points where the coefficients of y and y' of the differential equation are zero or infinite.

In the given question, we are supposed to find the singular points of the equation sin(x)y+xy+4y=0 and determine whether they are regular or irregular. To find the singular points, we need to first factorize the equation. We get:y(sin(x)+x+4)=0

Hence the singular points are (-π/2, 0), (3π/2, 0).Now we need to find out whether these points are regular or irregular. A point is said to be regular if the coefficients of y and y' are finite at that point. A point is irregular if either of the coefficients of y and y' are infinite at that point.

For (-π/2,0) values are: y=0, y'=0, y''=0Since both y' and y'' are finite, this point is regularFor (3π/2,0) values are: y=0, y'=0, y''=0Since both y' and y'' are finite, this point is regular. Hence both singular points are regular.

we can say that the singular points of the equation sin(x)y+xy+4y=0 are (-π/2, 0), (3π/2, 0) and both of them are regular.

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Answer:

Surface area of cylinder

A=2πrh+2πr²

= 2×3.14×5×12 + 2×3.14×5²

Surface area = 534.07 cm²

Answer:

4.

Step-by-step explanation:

7n - 12 = 16

7n = 16 + 12 = 28

Since 7n = 28, n = 28 / 7 = 4.

Answer: Not similar

Step-by-step explanation:

As angles in a triangle add to 180 degrees, the third angle in the left triangle is \(180^{\circ}-30.4^{\circ}-84.6^{\circ}=65^{\circ}\)

Since the corresponding angles are not congruent, the triangles are not similar.

Answer:

15. (8x^3 + 27)(x + 1)

17. (x^2 + 3)(x + 2)

Step-by-step explanation:

8x^3(x + 1) + 27(x + 1)

x^2(x + 2) + 3(x + 2)

(a) The matrix A for T1(T2(x)) is [22 66; -12 46], (b) The matrix A for T2(T1(x)) is [-10 60; -16 92]., (c) The matrix A for T1(T1(x)) is [7 12; 10 19]., (d) The matrix A for T2(T2(x)) is [4 48; -24 128].

To find the matrix A for each of the compositions, we first need to multiply the linear transformations together and then extract the coefficients of the resulting matrix.

(a) T1(T2(x)) can be computed as follows:

T1(T2(x))

= T1([-2x1 + 8x2; 6x2])

= [3(-2x1+8x2)+6(6x2); -2(-2x1+8x2)+7(6x2)]

= [22x1+66x2; -12x1+46x2]

So the matrix A for T1(T2(x)) is [22 66; -12 46].

(b) T2(T1(x)) can be computed as follows:

T2(T1(x))

= T2([3x1+6x2; -2x1+7x2])

= [-2(3x1+6x2)+8(-2x1+7x2); 6(-2x1+7x2)]

= [-10x1+60x2; -16x1+92x2]

So the matrix A for T2(T1(x)) is [-10 60; -16 92].

(c) T1(T1(x)) can be computed as follows:

T1(T1(x))

= T1([3x1+6x2; -2x1+7x2])

= [3(3x1+6x2)+6(-2x1+7x2); -2(3x1+6x2)+7(-2x1+7x2)]

= [7x1+12x2; 10x1+19x2]

So the matrix A for T1(T1(x)) is [7 12; 10 19].

(d) T2(T2(x)) can be computed as follows:

T2(T2(x))

= T2([-2x1+8x2; 6x2])

= [-2(-2x1+8x2)+8(6x2); 6(8x2)]

= [4x1+48x2; -24x1+128x2]

So the matrix A for T2(T2(x)) is [4 48; -24 128].

Note that matrix A for each composition is a 2x2 matrix, which represents the linear transformation that results from composing the original two linear transformations.

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Answer:

Angle 2 is equal to angle 8.

Step-by-step explanation:

The Miller index notation for the (100) plane in an FCC crystal structure is [100].

Miller indices are a way to describe crystal planes and directions in a standardized manner. In the case of FCC crystal structure, the (100) plane is parallel to the x-y plane and intersects the x-axis, y-axis, and z-axis at points where the Miller indices are (1,0,0), (0,1,0), and (0,0,1), respectively.

However, to express the (100) plane in a concise and standardized manner, we can use the Miller index notation, which involves taking the reciprocals of the intercepts of the plane with the crystallographic axes and then reducing them to the smallest integer values. In the case of the (100) plane in FCC, all of the intercepts are 1, so the Miller indices are [100].

the pd expression for the (100) plane in FCC crystal structure is [100].

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The fund balance at the end of 2019 will be $8,000.

The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.

Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.

Using the FVA of $1 table; Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $9,559

Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.

Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:

Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251

The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.

Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.

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Answer:

2 hours and 24 minutes.

2) In these problems, let's make use of the Law of Cosines since in each triangle we have their legs and just want to know the measure of one angle.

a) Let's begin with that, bearing in mind the following formula:

Note that the leg "r" is opposite to the angle (R):

But note that we have a right triangle and we don't know the side "t". So, let's use the Pythagorean Theorem to find the missing side "t":

So now, let's get back to the Cosines Law:

b) In this one, we can see the angle 38º and the missing angle "A". We can use the Law of the Sines to find that angle.

Now, that we know angle B, we can write out this equation since the sum of the interior angles is 180º

c) Finally, we can apply the Cosines Law for this triangle:

2) Thus the answer is:

Answer:

I would say 6 sets

Step-by-step explanation:

Mystery = 5  |  Romance = 8

0                        5

1                         4

2                        3

3                        2

4                        1

5                        0

each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that

....but that's just me personally

Answer:

Step-by-step explanation:

560

35%

1) Gathering the data

bakery

mocha cupcakes =28

chocolate = 52

2) To find the percentage let's add them first and then set a proportion.

52+28= 80

Mocha cupcakes

Cupcakes

80---------------------------- 100%

28---------------------------- x

Cross multiply

80x = 2800 Divide them by 80

x=35

3) So 35% of the sold cupcakes were mocha cupcakes

Step-by-step explanation:

Area of rectangle is length x breadth.

Area = (x + 7)(x + 5)

= (x² + 5x + 7x + 35)

= (x² + 12x + 35)

The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.

Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.

The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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