find the characteristic polynomial of the matrix a=[−5300−25−5−40].

Answer:

1,

Step-by-step explanation:

now z also a dk4k ak4 smka 4ml 4 LL

E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.

To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.

In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).

Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.

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The given polynomial, 3\(x^{5}\) - 8\(x^{3}\) - 2\(x^{2}\) + 5, is classified as a polynomial of degree 5.

A polynomial is an algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication. The degree of a polynomial is determined by the highest power of the variable present in the expression. In this case, the highest power of x is 5, so the polynomial is of degree 5.

Polynomials are often classified based on their degree. Common classifications include linear polynomials (degree 1), quadratic polynomials (degree 2), cubic polynomials (degree 3), and so on. Since the given polynomial has a degree of 5, it falls under the category of quintic polynomials.

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Answer:

The total number of students that are in Ms. Cunningham's class is 30 students

Step-by-step explanation:

the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.

Total number of students = 12 + 18 = 30

Evaluate f''(x) at each critical point. If f''(x) > 0, the point is a local minimum; if f''(x) < 0, the point is a local maximum; if f''(x) = 0, the test is inconclusive.

Since the question itself is not provided, I will explain the terms you've mentioned and demonstrate how they might be used in a general context.
1. Properties: These are characteristics or attributes of mathematical objects, such as numbers, shapes, or functions. For example, the commutative property of addition states that a + b = b + a for any real numbers a and b.
2. Theorems: These are statements that have been proven to be true based on previously established principles, axioms, or other theorems. For example, the Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
3. Functions: A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are often represented by equations, such as f(x) = x^2 or g(x) = 3x + 2.

Now, let's create an example question that involves these terms:

Question: Given the function f(x) = x^3 - 2x^2 + x, find the critical points and use the second derivative test to classify them as local maxima, minima, or saddle points.

Your answer: To find the critical points, we need to find the first derivative of the function, f'(x), and set it equal to 0.
F(x) = 3x^2 - 4x + 1
Now, we find the critical points by setting f'(x) = 0:
3x^2 - 4x + 1 = 0
Solve for x to find the critical points (I will leave this part for you to complete).
Next, use the second derivative test to classify these critical points. Find the second derivative, f''(x):
f''(x) = 6x - 4
Evaluate f''(x) at each critical point. If f''(x) > 0, the point is a local minimum; if f''(x) < 0, the point is a local maximum; if f''(x) = 0, the test is inconclusive.
By following these steps, you can find and classify the critical points of the given function. This answer involves the use of properties (such as critical points), theorems (such as the second derivative test), and functions (in this case, f(x)).

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Answer:

0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Answer:

\( \frac{3}{8} \)

Step-by-step explanation:

\( \frac{3}{4} \div 2 \\ \\ = \frac{3}{4} \times \frac{1}{2} \\ \\ = \frac{3 \times 1}{4 \times 2} \\ \\ = \frac{3}{8} \)

There is no solution to the given boundary value problem. Hence, the answer is None.

The characteristic equation associated with the differential equation is r² - 4 = 0. Solving this equation, we find two distinct roots: r₁ = 2 and r₂ = -2. Therefore, the general solution is of the form y(x) = \(c₁e^(2x) + c₂e^(-2x),\)where c₁ and c₂ are constants.

Next, we can use the given boundary conditions to determine the values of the constants c₁ and c₂.

Using the condition y(0) = 6 - 6e¹, we substitute x = 0 and y = 6 - 6e into the general solution:

6 - 6e = \(c₁e^(2(0)) + c₂e^(-2(0))\)

6 - 6e = c₁ + c₂

Using the condition y(1) = 0, we substitute x = 1 and y = 0 into the general solution:

\(0 = c₁e^(2(1)) + c₂e^(-2(1))\)

\(0 = c₁e^2 + c₂e^(-2)\)

We now have a system of two equations:

6 - 6e = c₁ + c₂

\(0 = c₁e^2 + c₂e^(-2)\)

Solving this system of equations will give us the values of c₁ and c₂, and thus the particular solution to the boundary value problem. However, upon inspecting the first equation, we can see that there is no value of c₁ and c₂ that will satisfy it. Therefore, there is no solution to the given boundary value problem.

Hence, the answer is None.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

In the given statement is

Solve 2x + 5y = -1 for y.

To find the value of y when x= -2

Now, Equation is 2x + 5y = -1 …..(1)

Put the value of x = -2 in eq. 1

2 (-2) + 5y = -1

-4 + 5y = -1

5y = -1 + 4

y = 3/5

Again,  Solve 2xy - x = 3 for y

To find the value of y when x = 2

Now, Equation is : 2xy - x = 3 ….(2)

Put the value of x = 2 in eq. (2)

2(2)y - 2 = 3

4y - 2 = 3

4y = 5

y = 5/4

Hence, In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4

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Data:

• 5 males

• 8 females

• Just 1 male and 1 female will be chosen.

Procedure:

• Number of ways for 1 male:

• Number of ways for 1 female:

• Number of ways to select one female and one male:

Answer: 40

Brandon have to pay  $28.75 to buy 5 pounds of walnuts.

By problem;

Price per pound= $6.50

Quantity to be purchased = 5 pounds

Discount available= $3.75

Expression:- 6.50pp-3.75     (where pp is a variable for pounds of walnut)

Amount to be paid= 6.50 * 5 - 3.75

Amount to be paid  =$28.75

Therefore, Brandon has to pay $28.75 to purchase 5 pound of walnuts.

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Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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The probability that the child exhibits the disease is 18.75%

To determine the probability that the child exhibits the disease, we need to first find the probability of the child inheriting the disease-causing genotype and then multiply it by the penetrance of the disease.

Step 1: Determine the genotype probabilities
Since both parents are heterozygotes, their genotypes are Gg. Using a Punnett square, we can determine the probabilities of the child's possible genotypes:

Parent 1: G | g
Parent 2: G | GG | Gg
           g | Gg | gg

The child's possible genotypes and their probabilities are:
- GG: 1/4 (25%)
- Gg: 1/2 (50%)
- gg: 1/4 (25%)

Step 2: Determine the probability of the child exhibiting the disease
The disease is caused by homozygosity for the g allele, meaning the child must have the gg genotype to potentially have the disease. The probability of the child inheriting the gg genotype is 1/4 (25%).

Step 3: Factor in the penetrance of the disease
Since the penetrance of the disease is 75%, this means that 75% of individuals with the gg genotype will exhibit the disease. To find the probability of the child exhibiting the disease, multiply the probability of inheriting the gg genotype (1/4) by the penetrance (75%):

(1/4) * (75%) = 0.25 * 0.75 = 0.1875

Therefore, the probability that the child exhibits the disease is 18.75%.

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Answer:

\(\sqrt{25}\)

Step-by-step explanation:

Step-by-step explanation:

the length of PQ =

√(-7-5)²+(6+4)²

=√(-12)²+(10)²

= √144+100

=√244

= 15.6 units (D)

We can say that the two means are significantly different from one another.

The critical t-scores refer to the t-values that represent the boundaries of the rejection region in a t-test. In this case, the critical t-scores are +/- 1.995. These values are obtained from a t-table with the degrees of freedom (df) equal to the smaller of the two sample sizes minus 1.

The t statistic is the calculated value from the t-test, which measures the difference between the sample means in standard error units. In this case, the t statistic is 2.55.

Since the t statistic lies outside the critical region (i.e., it is greater than 1.995), we can reject the null hypothesis that there is no difference between the means of the two populations. We can conclude that the difference between the means is statistically significant at the chosen significance level.

Therefore, we can say that the two means are significantly different from one another.

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Answer:

hope it helps

Step-by-step explanation:

I hope u can understand

the answer Is 0.24

Step-by-step explanation:

2.1 times 4.4 is

9.24

3.6 divided by 0.4 is

9

9.24 - 9

= 0.24

Remeber guys, we need to use pemdos. In this case we need to do 1. Multiplication

2. Division

3. Subtraction

We cannot do subtraction or division first. We need to go by order.

The true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

Given the function;

f(a) = 3a – a2

For f(-5), we substitute the value of a as -5, we have

f(-5) = 3(-5) - (-5)²

f(-5) = -15 - 25

f(-5) = -40

For f(4), we have

f(4) = 3(4) = 3(16)

f(4) = 12 - 48

f(4) = -36

For f(-1), we have

f(-1) = 3(-1) - (-1)²

f(-1) = -3 - 1

f(-1) = -4

For f(0), we have

f(0) = 3(0) -(0)

f(0) = 0

For f(3), we have

f(3) = 3(3) - 3²

f(3) = 0

Thus, the true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

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Answer:

Step-by-step explanation:

f(0) = -2

f(1) = 3*(f(1 - 1)) -  2*1

f(1) = 3(-2) - 2

f(1) = - 6 - 2

f(1) = - 8

f(2) = 3*(f(1)) - 2*2

f(2) = 3*(-8) - 4

f(2) = -24 - 4

f(2) = - 28

f(3) = 3*(f(2)) - 2*3

f(3) = 3*-28 - 6

f(3) = -84-6

f(3) = - 90

f(4) = 3*f(3) - 2 * 4

f(4) = 3*-90 - 8

f(4) = -270 - 8

f(4) = -278

Answer:

5/16

Step-by-step explanation:

Answer:

The probability that Janet will elect a green marble is that if she shake them up and down. When she puts her hand in she has the move her hand around giving her the chance that she might pick a green marble.

To find the length of the line segment RS with coordinates R(-2, -4) and S(-8, -6), we can use the distance formula, which calculates the distance between two points in a coordinate plane.

The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of R are (-2, -4) and the coordinates of S are (-8, -6).

Substituting these values into the distance formula, we get:

d = √((-8 - (-2))^2 + (-6 - (-4))^2)

= √((-8 + 2)^2 + (-6 + 4)^2)

= √((-6)^2 + (-2)^2)

= √(36 + 4)

= √40

≈ 6.32 units

Therefore, the length of line segment RS is approximately 6.32 units. Option (b) "about 6.3 units" is the correct answer

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Answer: Answer

4.0/5

37

jdoe0001

Genius

13.9K answers

122.5M people helped

check the picture below.

notice, the cross-section is just a 6x36 rectangle, and its area is, well just 6*36.

Step-by-step explanation: hope this helped