Select all of the linear transformations from ℝ3 to ℝ3 that are invertible. There may be more than one correct answer.
A. Identity transformation (i.e. T(v⃗ )=v⃗ for all v⃗ )
B. Projection onto the xz-plane
C. Reflection in the y-axis
D. Rotation about the x-axis
E. Dilation by a factor of 6
F. Projection onto the z-axis

Answer:

4

Step-by-step explanation:

4 because four is the LCM OF 2 AND 4

Paul need 22.8 ft of fencing to surround the garden.

How do you calculate a perimeter?

The perimeter of a shape is always calculated by adding up the length of each of the sides.

To find how many feet of fencing is needed you need to find the perimeter. The formula of perimeter of a rectangle is

Ρerimeter = 2(length + width).

So for this problem,

P = 2(7.75+3.65)

add what is inside the parentheses

P = 2(11.4)

multiply what is left

P = 22.8

22.8 ft of fencing is needed to surround the garden.

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The area of the parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet is,

⇒ four hundred thirty-three and one-eighth ft²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.

Now, We know that;

Area of a parallelogram = Base × Height

Substitute the given values, we get;

⇒ Area of a parallelogram = Base × Height

⇒ Area of a parallelogram = 22 1/2 × 19 1/4

⇒ Area of a parallelogram = 45/2 × 77/4

⇒ Area of a parallelogram = 3465/8

⇒ Area of a parallelogram = 433 1/8 ft²

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Answer:

rational  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.

log 72 to the base 2n is equal to log 18 to the base n if n is equal to \(2^{1/10}\).

We can use the change-of-base formula to convert both logarithms to a common base, such as base 10:

log 72 / log 2n = log 18 / log n

We can simplify log 72 as follows:

\(log 72 = log (2^3 * 3^2) = 3 log 2 + 2 log 3\)

Similarly, we can simplify log 18 as:

\(log 18 = log (2 * 3^2) = log 2 + 2 log 3\)

Substituting these expressions into the original equation, we get:

(3 log 2 + 2 log 3) / log 2n = (log 2 + 2 log 3) / log n

Multiplying both sides by log n * log 2n, we get:

(3 log 2 + 2 log 3) log n = (log 2 + 2 log 3) log 2n

Expanding the logarithms using the power rule, we get:

\(3 log (n^3) + 2 log (n^2) = log (2n) + 2 log (n^3)\)

Simplifying and rearranging terms, we get:

\(3 log (n^3) - 2 log (n^3) = log (2n) - 2 log (n^2)\)

\(log (n^9) = log (2n / n^2)\)

\(log (n^9) = log (2/n)\)

Taking the exponential of both sides, we get:

\(n^9 = 2/n\)

Multiplying both sides by n, we get:

n^10 = 2

Taking the 10th root of both sides, we get:

\(n = 2^{1/10}\)

Therefore, log 72 to the base 2n is equal to log 18 to the base n if n is equal to \(2^{1/10}\)

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1. The ratio of the areas of ABDC and ABED is 16/81.

2. The length of CD is CF is 25.

3. The length of DE is 20.

1 If the length of CA is 18 units, find the length of BA.

CB:CA=5:9

CA = 18

CB = 18 * 5/9 = 10

BA = CA - CB = 18 - 10 = 8

2 The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides.

The ratio of the corresponding sides of ABDC and ABED is AB:AC = 8:18 = 4:9.

The ratio of the areas of ABDC and ABED is (4/9)² = 16/81.

3. The ratio of the corresponding sides of CDF and DEF is CD:CF = 5:9.

The length of CD is CF * 5/9 = 45 * 5/9

= 25.

The length of DE is CF - CD = 45 - 25

= 20.

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Answer:

The 2nd option.

Answer:

9 yards

Step-by-step explanation:

from the maple-> end, it is 28 2/6 yards. that means we add the segments that are already there to find how much of 28 2/6 is there between the maple and oak.

11 3/6 + 7 5/6 = 19 1/3

28 2/6 - 19 1/3 = 9

Answer:

y=8x+4

Step-by-step explanation:

I am assuming you are asking for an equation.

Total cost = $8*(number of people) + $4

Answer : The integral value is: ∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Given:  we have 3 ≤ r ≤ 7.

The integral becomes: ∫∫sin(r^2) dr dθ

with r ranging from 3 to 7 and θ ranging from 0 to 2π.

Now we can evaluate the integral:

∫(0 to 2π) dθ ∫(3 to 7) r sin(r^2) dr

To solve the inner integral, we use substitution. Let u = r^2, so du = 2r dr.

Then: (1/2)∫(9 to 49) sin(u) du = [-(1/2)cos(u)](9 to 49) = -(1/2)[cos(49) - cos(9)]

Now, evaluate the outer integral:

∫(0 to 2π) [-(1/2)(cos(49) - cos(9))] dθ = -[(1/2)(cos(49) - cos(9))][θ](0 to 2π)

= -(1/2)(cos(49) - cos(9))(2π - 0) = -π(cos(49) - cos(9))

So the integral value is:

∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

answer is option D

\( \frac{2}{10} = \frac{1}{5} \\ \frac{4}{20} = \frac{1}{5} \\ \frac{6}{30} = \frac{1}{5} \\ \frac{8}{40} = \frac{1}{5} \)

so the answer is option D

please mark this answer as brainlist

Answer:

Don't cheat kid. I know where you got this question from-- FLVS Language Arts 3.

Step-by-step explanation:

Do it you self

The solution to the given homogenous differential equation dy/dx = y² + x² / x^2 is y² = -x(y³ / 3 + Cy³ - 3Cx)

The given differential equation is: dy/dx = y² + x² / x^2

To solve this, we can first separate the variables by bringing all the y-terms on one side and all the x-terms on the other side:

(1/y²)dy = (x² / x² + y²)dx

Next, we can integrate both sides:

∫(1/y²)dy = ∫(x²/x² + y²)dx

Using the substitution u = y/x, we can simplify the integrals:

∫(1/y²)dy = ∫(1 + u²)dx

-1/y = x + (1/3)u³ + C

where C is the constant of integration.

Substituting back u = y/x, we get:

-1/y = x + (1/3)(y/x)³ + C

Multiplying both sides by -y³, we get:

y² = -x(y³ / 3 + Cy³ - 3Cx)

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Answer:

The highest number that divides each of the two or more numbers is the HCF or Highest Common Factor.

Step-by-step explanation:

Example: What is the HCF of {12,42,14}

Answer: The HCF is 2 as the biggest number they can all be divided by is 2. {12,42,14} = {2^2*3,2*3*7,2*7} The factors in each number is 2.

Answer:

f= −5

Step-by-step explanation:

A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

According to my findings, a household with a credit score of 525 will pay $9,256.00 more compared to a household with a credit score of 675.

Mortgage lenders typically charge higher interest rates to individuals with lower credit scores than to those with higher credit scores.

So, if you have a poor credit score, you'll have to pay more for your mortgage than if you had a strong credit score.

You can use the following data to calculate how much more a household with a credit score of 525 will pay compared to a household with a credit score of 675.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 525 credit score and a 4.5% interest rate is $446,668.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 675 credit score and a 3.1% interest rate is $437,412.A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

The answer is $9,256.00.

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Answer:

its d

Step-by-step explanation:

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

The eigenvalues of [A] are λ1 = -1 and λ2 = 1, with corresponding eigenvectors [1, -1, 0] and [0, 0, 0], respectively.

To find the matrix for the linear transformation T, which reflects all vectors in R3 through the xy plane, we can consider the effect of T on the standard basis vectors e1, e2, and e3:

T(e1) = e1

T(e2) = e2

T(e3) = -e3

This tells us that the first two columns of the matrix for T will be the standard basis vectors e1 and e2, and the third column will be -e3. Thus, the matrix for T is:

[A] = [1 0 0;

0 1 0;

0 0 -1]

To find the eigenvalues and eigenvectors of this matrix, we can solve the characteristic equation det([A] - λ[I]) = 0, where [I] is the 3x3 identity matrix. This gives us:

\(det([A] - λ[I]) = det([1-λ 0 0; 0 1-λ 0; 0 0 -1-λ])\\= (1-λ)(1-λ)(-1-λ)\\= -(λ+1)(λ-1)^2\)

Therefore, the eigenvalues of [A] are λ1 = -1 (with algebraic multiplicity 1) and λ2 = 1 (with algebraic multiplicity 2).

To find the eigenvectors corresponding to these eigenvalues, we can solve the systems of equations ([A] - λ[I])v = 0 for each eigenvalue. For λ1 = -1, we have:

([A] + [I])v = [0 0 0]'

which gives us the equation:

x + y = z

Thus, the eigenvectors corresponding to λ1 are of the form [x, y, z] where x + y = z. One such eigenvector is [1, -1, 0].

For λ2 = 1, we have:

([A] - [I])v = [0 0 0]'

which gives us the equations:

x = 0

y = 0

z = 0

Thus, the eigenvectors corresponding to λ2 are all vectors of the form [0, 0, 0].

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The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Answer:

Step-by-step explanation:

60/5 is 12

12/90 is .133repeated

Answer:

K < - 16

Step-by-step explanation:

\(\frac{2k-3}{-5}\) > 7

Multiply both sides by - 5 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.

2k - 3 < - 35 (add 3 to both sides )

2k < - 32 ( divide both sides by 2 )

k < - 16

The maximum likelihood estimator of a is the minimum of the n observations {xi}

The data is generated i.i.d. from a uniform distribution [a, 1], the probability density function (pdf) of each observation is given by:

f(x; a) = 1/(1-a), for a ≤ x ≤ 1

= 0, otherwise

The likelihood function for n observations {xi}ni=1 is the product of their individual pdfs:

L(a; x1, x2, ..., xn) = ∏(1/(1-a)) = (1/(1-a))ⁿ, for a ≤ xi ≤ 1 for all i

The maximum likelihood estimate of a, we need to find the value of a that maximizes the likelihood function.

We can do this by finding the derivative of the log-likelihood function and setting it to zero:

ln L(a; x1, x2, ..., xn) = n ln(1/(1-a))

d/d(a) ln L(a; x1, x2, ..., xn) = -n/(1-a)

Setting the derivative to zero, we get:

n/(a-1) = 0

The derivative is negative for a < 1 and positive for a > 1, the maximum likelihood estimate of a is the smallest observation in the sample:

\(\^a = \^xn\)

= min {x1, x2, ..., xn}

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The maximum likelihood (ML) estimator of parameter a in the uniform distribution is ˆa = ˆxn.

In this scenario, we have a random variable x that follows a uniform distribution on the interval [a, 1]. The goal is to estimate the unknown parameter a using a training set {xi}ni=1, where each xi is independently and identically distributed (i.i.d.) from the uniform distribution on the same interval [a, 1].

The ML estimator seeks to find the parameter value that maximizes the likelihood function, which measures the probability of obtaining the observed data. In this case, the likelihood function is based on the order statistics of the training set.

The order statistic ˆxn represents the minimum value among the observations in the training set. Since the minimum value occurs when x is closest to the lower bound a, it is reasonable to use ˆxn as the ML estimator for a.

Therefore, the ML estimator of parameter a is ˆa = ˆxn, which corresponds to the minimum value observed in the training set.

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Answer:

3  7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

The length of HI is given as follows:

HI = 15.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The proportional relationship for the side lengths in this problem is given as follows:

3/HI = 5/25

Applying cross multiplication, the length of HI is given as follows:

3/HI = 1/5

HI = 3 x 5

HI = 15.

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Point G is a circumcenter, then the x = 37.5 where G is (2x + 15)°.

Point G is a circumcenter.

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y).

We can see image,

Then,

(2x + 15)° = 90°

2x + 15 = 90

2x = 90 - 15

We can sum or difference of products,

2x = 75

x = 75/2

We can divide the products,

x = 37.5

Therefore,

Point G is a circumcenter, then the x = 37.5 where G is (2x + 15)°.

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Answer:

then he's scored all the goals 9/9

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

-24 - 14 + 15

= -23

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)