James orders 50 m² of paving slabs.

He paves an area of 28.5 m² and then paves a second area of 16.25 m².

How much of the paving slabs does he have left?

The given matrix A =\(\begin{pmatrix}5&-4\\ 3&-2\end{pmatrix}\) is non diagonalizable.

To determine if a matrix A is diagonalizable, we need to check if it has a complete set of linearly independent eigenvectors.

Given matrix A:

A =\(\begin{pmatrix}5&-4\\ 3&-2\end{pmatrix}\)

To find the eigenvectors and eigenvalues of A, we need to solve the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue.

Let's calculate the eigenvalues and eigenvectors:

|A - λI| = (5-λ)(-2-λ) - (-4)(3)

= λ² - 3λ - 2λ + 6 + 12

= λ² - 5λ + 18

Solve the characteristic equation:

λ² - 5λ + 18 = 0

Using the quadratic formula, we find the eigenvalues:

λ = (5 ± √(5² - 4(1)(18))) / 2

= (5 ± √(-47)) / 2

Since the square root of a negative number (-47) is involved, the eigenvalues are complex and not real. Therefore, matrix A is not diagonalizable.

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Determine whether or not the given matrices are diagonalizable. If it is find a diagonalizing matrix P and a diagonal matrix D such that P⁻¹AP=D

\(A=\begin{pmatrix}5&-4\\ 3&-2\end{pmatrix}\)

Answer:

depends

Step-by-step explanation:

If you mean just -12.161616, then it’s rational.

If you mean recurring decimal, then it’s not.

Mattie's profit in dollars when she sells x bottles would be $240.

To find the profit when Mattie sells a certain number of bottles, you can substitute that number into the function f(x) = 10x − 4x − 100.

For example, if Mattie sells 0 bottles, her profit would be

              f(0) = 100 - 40 - 100 = $-100.

If Mattie sells 10 bottles, her profit would be f(10) = 1010 - 410 - 100 = $60. If Mattie sells 20 bottles, her profit would be

              f(20) = 1020 - 420 - 100 = $120 .

If Mattie sells 30 bottles, her profit would be f(30) = 1030 - 430 - 100 = $180.  And if Mattie sells 40 bottles, her profit would be

              f(40) = 1040 - 440 - 100 = $240.

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Answer:

33

I hope this helps!

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

can u make it more clear? i can help but make it clear please

Step-by-step explanation:

im learning this rn

Answer:

There are 2 hours and 30 minutes in 150 minutes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

150 ÷ 60

Quotient will be the hours and remainder will be the minutes

2 hours 30 minutes

Answer: A.

Step-by-step explanation:

it just makes sense because the numbers are adding up so,  3+2 = 5 and 8+2=10, that's how u add them  hope this helps :) <3

Step-by-step explanation:

\( \frac{ \sin(56) }{4} = \frac{ \sin(x) }{4.5} \\ \sin(x ) = \frac{4.5 \times \sin(56) }{4} = \frac{3.73}{4} \\ \sin(x) = 0.9326 \\ x = 68.84\)

Hence, the value of x is 68.84 degrees.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs, and sometimes the arms of the angle.

we know sine rule,

\(\frac{sin(56)}{4} = \frac{sin(x)}{4.5}\)

sin(x) = \(\frac{(4.5).sin(56)}{4}\) = \(\frac{3.73}{4}\)

sin(x) = 0.9326

x = 68.84

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The correct system of inequalities to represents this scenario are,

⇒ x² - 2y ≤ 5,000

⇒ 2x + 5y < 1000

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The value of a company’s stock is represented by the expression x²- 2y and the company’s purchases are modeled by 2x + 5y.

Here, The company’s goal is to maintain a stock value of at least $5,000.

Hence, We get;

⇒ x² - 2y ≤ 5000

And, keeping the purchases below $1,000.

Hence, We get;

⇒ 2x + 5y < 1,000

Thus, The correct system of inequalities to represents this scenario are,

⇒ x² - 2y ≤ 5,000

⇒ 2x + 5y < 1000

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Answer:

x2 – 2y ≥ 5000

2x + 5y < 1000

Step-by-step explanation:

I got it right on the test.

Answer:

1) 4, 5, and 8

2)the y intercept is -4

Step-by-step explanation:

1) The lines are cut by a transversal which makes 4,5, and 8 equal.

2) The line hits the y-axis at -4.

Hope this helps! :)

Answer:2x^6 - 3x^5 - 13x^4 + 20x^3 + 12x^2 - 16x

Step-by-step explanation:

Greetings from Brasil...

Let's apply the distributive property....

(X³ - 3X² + 4) (2X³ + 3X² - 4X)

2X⁶ + 3X⁵ - 4X⁴ - 6X⁵ - 9X⁴ + 12X³ + 8X³ + 12X² - 16X

The probability of number of 1-2 Children in car and 3 plus children in car is 0.203.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.

The probability of P(1-2 children| car). P (3 plus children| car) is given by:

P = 63/88 × 25/88

P=0.203

The probability of P(Bus| 1-2 children). P (Bus | 3 plus children) is given by:

P = 38/101 × 49/74

P=0.249

The probability of P(Car |1-2 Children) is given by:

P= 63/101

P=0.624

The probability of P(3 plus children | Bus)is given by:

P=49/87

P=0.563

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Answer: The picture below

Step-by-step explanation: Correct on Edmentum, if you give me a low rating than you are mean :(

For the first one move it on the fourth one. So count four and place it there.

For the second one place it on the eighth one. So count eight and place it there.

For the last step 4/4 = w/8

4x2=8

so w=8

The algorithm performs n operations in total. In each iteration of the outer loop, the inner loop runs i times, where i ranges from 1 to n. Inside the inner loop, a single operation is performed, which is the assignment of a constant value to the variable k. Therefore, the total number of operations can be calculated by summing up the number of iterations of the inner loop for each iteration of the outer loop.

Since the number of iterations of the inner loop increases by 1 with each iteration of the outer loop, the sum of the first n integers can be used to calculate the total number of operations. The sum of the first n integers is given by the formula n * (n + 1) / 2, so the algorithm performs approximately n * (n + 1) / 2 operations.

The algorithm consists of a nested loop structure. The outer loop iterates from i = 1 to n, and for each iteration of the outer loop, the inner loop runs from j = 1 to i. Inside the inner loop, a single operation is performed, which is the assignment of a constant value to the variable k. This assignment operation takes a constant amount of time and can be considered as a basic operation. Therefore, the total number of operations can be calculated by summing up the number of iterations of the inner loop for each iteration of the outer loop.

For the outer loop, it iterates n times. In the first iteration, the inner loop runs once (j = 1), in the second iteration, the inner loop runs twice (j = 1, 2), and so on, until the nth iteration where the inner loop runs n times (j = 1, 2, ..., n). Therefore, the total number of iterations of the inner loop can be calculated by summing up the first n integers, which is given by the formula n * (n + 1) / 2.

Since each iteration of the inner loop involves a single operation, the total number of operations can be approximated as n * (n + 1) / 2. This formula calculates the number of operations in terms of the input size n.

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The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer:

10x + 30

Step-by-step explanation:

That's the answer!

A.2

3^2 = 9

(any number greater than one because 3^1 = 3, this is not greater than 3)

B. 0

3^0 = 1

(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)

Hope this helps!

Answer:

I believe the answer is -50i

Answer:

sorry dude but should delete account ;-;

Step-by-step explanation:

delete accound pls

i cant open browser so delete accouuunnntt

and report me pls

Answer:

9.

Step-by-step explanation:

The remainder is given by the value of f(-1):

Remainder = 3(-1)^3 - 4(-1)^2 - 5(-1) + 11

= -3 - 4 + 5 + 11

= -7 + 16

= 9.

Answer:

250•x = 11750

x = 11750/250

x = 47

4700%

Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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Answer:

i have made it in above picture

Answer:

The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33

Step-by-step explanation:

To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.

Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.

Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.

Therefore, the correct answer is D. 2.33.

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Answer:

44

yes. the total cost is 68 which is less than 70

Step-by-step explanation:

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

amount of gasoline = b x length of the trip  

16 = b x 145

b = 16/145 = 0.110345

a. 400 x 0.110345 = 44

total litres used for the trip = 44 + 16 = 60

total cost of the trip = 60 x 1.13 = 67.8

total amount spent on gasoline is 67.8. this is less than the budget

Answer:

A) 44.1

Step-by-step explanation:

I used omnicalculator. Should count because it's still a calculator.

Answer:

hey your answer would be   3x • (2x2 - 1)

please tell me if im wrong

Step-by-step explanation:

Answer:

I guess that we want to find how many grams of fat we have in a small pizza.

In a small pizza, we use 12 cups of cheese.

in 14 cups of cheese, we have 6 grams of fat.

Then, in 12 cups of cheese, we have x grams of fat.

We want to find the value of x.

We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:

12cups/14cups = x/6grams

x = (12/14)*6grams = 5.14 grams

Then in the 12 cups of cheese, we have 5.14 grams of fat.

Answer: 15

Step-by-step explanation:

y = 5

3(y) = answer

3(5) = 15.