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The values of k for which A is diagonalizable are the values that satisfy either k = λ or (7-λ)(u-λ) - 5k = 0 and have two linearly independent eigenvectors associated with λ. The eigenvectors can be found by solving the system (A-λI)x = 0 for each eigenvalue λ.

The eigenvalues of A are the solutions to the characteristic equation det(A-λI) = 0, where I is the identity matrix and det denotes the determinant.

We have:

det(A-λI) = det

|7-λ   5   0 |
| 5   k-λ  k |
| 0    k   u-λ|

Expanding along the first row, we get:

det(A-λI) = (7-λ) det

| k-λ  k |
|  k  u-λ|

- 5 det

| 5  k |
| 0 u-λ|

= (7-λ)(k-λ)(u-λ) - 5(k-λ)k

Setting this equal to 0 and factoring out (k-λ), we get:

(k-λ)[(7-λ)(u-λ) - 5k] = 0

Either k = λ or (7-λ)(u-λ) - 5k = 0.

If k = λ, then A has at least one eigenvalue of multiplicity 2. To be diagonalizable, it must have two linearly independent eigenvectors associated with this eigenvalue.

If (7-λ)(u-λ) - 5k = 0, then λ is an eigenvalue with algebraic multiplicity 2. To be diagonalizable, it must have two linearly independent eigenvectors associated with it.

Therefore, the values of k for which A is diagonalizable are the values that satisfy either k = λ or (7-λ)(u-λ) - 5k = 0 and have two linearly independent eigenvectors associated with λ.

The eigenvectors can be found by solving the system (A-λI)x = 0 for each eigenvalue λ.

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Answer:

0

Step-by-step explanation:

If Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The unit rate of cloth he used in terms of yards per shirt is found by dividing the  3 1/2 shirts by 4 2/3 yards,

\(= 4 \dfrac{2}{3} / 3 \dfrac{1}{2} \\\\ = \dfrac{14}{3} / \dfrac{7}{2} \\\\ = \dfrac{14}{3} \times \dfrac{2}{7} \\\\ = \dfrac{4}{3}\)

Thus, if Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.

The question is incomplete

The complete question is"Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?"

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Pauline's Pizzeria sold a total of 220 pizzas yesterday. To find the total number of pizzas sold by Pauline's Pizzeria yesterday, we can set up a proportion based on the given information.

Let's denote the total number of pizzas sold by "x." We know that the number of pepperoni pizzas sold, which is 176, represents 80% of all the pizzas sold.

So, we can set up the proportion:

176/x = 80/100

To solve this proportion, we can cross-multiply:

176 * 100 = 80 * x

Simplifying the equation gives us:

17600 = 80x

To find the value of "x," we divide both sides of the equation by 80:

x = 17600 / 80

Calculating the value gives us:

x = 220

Therefore, the total number of pizzas sold by Pauline's Pizzeria yesterday is 220.

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The speed of the van traveling south is 46 miles per hour. The correct option is  (G) 46.

Let's call the speed of the van traveling south "x" in miles per hour. Then, the speed of the van traveling north is "x + 10" miles per hour.

We know that the vans have been traveling for 2.5 hours, and that they are 255 miles apart. This means that the total distance traveled by both vans is 255 miles:

Distance traveled by the van traveling south + Distance traveled by the van traveling north = 255 miles

Using the formula distance = speed × time, we can express the distances traveled by each van in terms of their speeds and the time they traveled:

Distance traveled by the van traveling south = x × 2.5 = 2.5x

Distance traveled by the van traveling north = (x + 10) × 2.5 = 2.5x + 25

Substituting these expressions into the equation above, we get:

2.5x + 2.5x + 25 = 255

Simplifying this equation, we get

5x + 25 = 255

Subtracting 25 from both sides, we get:

5x = 230

Dividing both sides by 5, we get:

x = 46

Therefore, the speed of the van traveling south is 46 miles per hour. Answer: (G) 46.

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Answer:  \(x^3-x^2\)

This is the same as writing x^3-x^2

==============================================

Explanation:

We divide the two given polynomials. We can apply synthetic division.

The numerator polynomial is \(x^4+3x^3-4x^2\) which is the same as \(1x^4+3x^3-4x^2+0x+0\)

The sequence of coefficients are: {1,3,-4,0,0}. Those coefficients will be used to set up the synthetic division table in the top row.

The denominator polynomial x+4 means -4 is the test root since it's the solution to x+4 = 0. This -4 goes to the upper left corner.

Check out the diagram below.

The yellow cell in the bottom row represents the remainder. Everything else in the bottom row are coefficients to the quotient polynomial. The coefficients {1,-1,0,0} means we get \(1x^3-1x^2+0x+0\) which simplifies to \(x^3-x^2\) and that's the final answer.

-------------------

Let's check the answer. Multiplying \((x+4)\) with \((x^3-x^2)\) should get us \(x^4+3x^3-4x^2\)

Let's see if that happens.

\((x+4)(x^3-x^2)\\\\y(x^3-x^2) \ \text{ ... where } y = x+4\\\\x^3*y-x^2*y\\\\x^3*(x+4)-x^2*(x+4)\\\\x^3*x+x^3*4-x^2*x-x^2*4\\\\x^4+4x^3-x^3-4x^2\\\\x^4+3x^3-4x^2\\\\\)

We get the proper product we're after, so the answer is confirmed.

Basically we were given expressions for A and B and computed C = A/B to get the final answer C. This check section is us computing A = BC to confirm the answer.

\(\longrightarrow{\green{F=5000 \: N}}

\)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

sus

HOW IS THIS MIDDLE SCHOOL ALGEBRA 1!??? I'm a senior in highschool and i have NEVER seen smthg THIS difficult for a middle schooler...

you do 4320÷ 9= 108 and that's your answer right there

This vector function removes an item from a vector is erase (option c).

The vector function that removes an item from a vector in most programming languages, including C++, is typically called "erase." The erase function is used to remove elements from a vector based on a specified position or range.

The erase function can take different forms depending on the programming language and vector implementation. For example, in C++, the erase function is a member function of the vector class and can be used in the following ways:

vector.erase(position) - Removes the element at the specified position.

vector.erase(first, last) - Removes elements in the range defined by the iterators 'first' and 'last'.

Using the erase function allows you to remove elements from a vector and adjust the size of the vector accordingly. The correct option is c.

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Answer:

The answer is the. 848 is the anns

Answer:

20 cm²

Step-by-step explanation:

1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20

If my answer is incorrect, pls correct me!

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-Chetan K

The approximate p-value is 5.1250%.

P-value is the probability of obtaining a test statistic as or more extreme than what was actually observed, given that the null hypothesis is true.

Two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective.

The approximate p-value for this two-sided significance test, with a significance level of 2%, is 5.1250%.

This is the probability of observing 22 or more defective items given that the true rate is 3.2%.

This was calculated using a binomial test, which takes into account the sample size and the expected rate of defects.

This p-value indicates whether or not the observed rate of defects is significantly different from the expected rate.

In this case, the p-value is the probability of observing 22 or more defective items given that the true rate is 3.2%.

This can be calculated using a binomial test.

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The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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The element of a test of a hypothesis that is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis is the test statistic. The test statistic is a numerical value that is calculated from the sample data and is used to compare against a critical value or rejection region to determine if the null hypothesis should be rejected. The level of significance is also important in determining the critical value or rejection region, but it is not the actual element used to make the decision to reject or fail to reject the null hypothesis.

The hypothesis or basic assumption is a temporary answer to a problem that is still presumptive because it still has to be proven true. The alleged answer is a temporary truth, which will be verified by data collected through research. Statistics is a science that studies how to plan, collect, analyze, then interpret, and finally present data. In short, statistics is the science concerned with data. The term statistics is different from statistics. A numeric value contains only numbers, a sign (leading or trailing), and a single decimal point.

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Answer:

It is 7.5

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

Notes:

Need:  Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

In Y = K X

    |         |

    |         numbers of euros.

    value in dollars

Our first number: 8 euro = $11

Y=11

X=8

Then Convert:

11=K8

11=K*8 ---> 8*K=11

8K=11

11/8= 1.3

K=1.3

From your not so smart brainly user

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

Answer:

Step 1:

Draw a graph - Put Customers on the x-axis and Tips on the y-axis

Equation of a line = mx + c

Then look for where the line crosses the x-axis (this is "c")

Choose two points and find the gradient using this formula:

Change in y/change in x

The number you just got is your "m"

Put it all together and you have y = Mx + C

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Given data in the table added to scatter plot and line of best fit calculated using a graphing calculator.

See the attached graph.

The line of best fit is:

Step-by-step explanation:

calculating backwards :

12:39 pm minus 1 hour 13 minutes = 11:26 am

the cake needs to get into the oven latest at that time.

caucuses further backwards :

11:26 am minus 26 minutes = 11:00 am

Evan has to start latest at 11:00 am to have the cake ready at 12:39 pm.

The flow speed u in the Skykomish River with a bottom slope of 0.002 and constant depth with a Manning number of n can be determined using the Manning Equation. The equation is given as Q = (1/n) * (A/R)^2/3 * S^(1/2) where Q = Flow Rate A = Cross-sectional area of the river R = Hydraulic radius S = Bottom slope of the river n = Manning number

Explanation:

The Manning number is a measure of the roughness of the river bed and sides. The value of n depends on the characteristics of the river channel such as the size of sediment, vegetation, and other obstructions. It can be estimated from tables or charts that relate n to the type of channel and other factors.

Substituting the values given in the problem:Q = uA, where u is the flow speed of the river and is what we need to find out. Rearranging the Manning equation to solve for u, we get:u = (1/n) * (A/R)^2/3 * S^(1/2)Therefore, the flow speed u in the Skykomish River can be calculated using the Manning Equation.

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Answer:

I am not certain but I think it's y=2x+4 I don't know tho but I think that's it

The number 3.145 x 10^-6 expressed in decimal notation is 0.000003145. To express 3.145 x 10^-6 in decimal notation, follow these steps:

Decimal notation is a system of writing numbers that uses the base 10 and decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent any quantity. In decimal notation, each digit to the left of the decimal point represents a multiple of a power of 10, starting with 10^0 (which is 1), and each digit to the right of the decimal point represents a fractional part of a power of 10, starting with 10^-1 (which is 0.1).                                                                                                                         Step 1: Understand the exponent. In this case, the exponent is -6, which means you'll be moving the decimal point 6 places to the left.
Step 2: Start with the given number, 3.145.
Step 3: Move the decimal point 6 places to the left. Add zeroes as needed to fill in the spaces.
The number 3.145 x 10^-6 expressed in decimal notation is 0.000003145.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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To find the amount A in dollars after investing $9,000 for 30 years at 11% compounded continuously, we will use the continuous compound interest formula:

A = P * e^(r*t)

Here,
A = final amount
P = principal amount (initial investment)
e = Euler's number (approx. 2.71828)
r = interest rate (decimal)
t = time (years)

Given values:
P = $9,000
r = 11% = 0.11 (convert percentage to decimal by dividing by 100)
t = 30 years

Plug these values into the formula:

A = 9000 * e^(0.11 * 30)

A ≈ 9000 * e^(3.3)

A ≈ 9000 * 27.1126 (rounded to 4 decimal places)

A ≈ 243,913.4

Therefore, the amount A in dollars after investing $9,000 for 30 years at 11% compounded continuously is approximately $243,913.40 (rounded to the nearest cent).

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Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Answer:

D) Dilation

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)