a) Write 5.1 x 10^-1as an ordinary number.

Answer:

40%

Step-by-step explanation:

you would first simply the fraction down

13 goes into both numbers so the fraction can be simplified to

2/5 which is think is simply enough to know that 2/5 is 40% but if not the explanation would be

100÷5 =20

20 x by the 2 from the fraction

= 40%

Step-by-step explanation:

65 = 100%

0.65 = 1%

26 = x%

x = (26 ÷ 0.65)%

x = 40%

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3     ... vertex (h , k) : (-5 , -3)     y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

Given: `x*Ax = x*(Ax) = x*(x) = λx*x = λ`We have to show that a left eigenvector `y` associated with an eigenvalue of `A`€`M₁`, is a right eigenvector of `A*` associated with and also show that `y` is a right eigenvector of `AT` associated with `λ`.

Let `y` be a left eigenvector associated with eigenvalue `λ`, i.e. `y*A = λ*y`.We need to show that `y` is a right eigenvector of `A*` associated with `λ`,

i.e. `A*y = λ*y`.

Multiplying the equation `y*A = λ*y` from the left by `A*`,

we get`A*y*A* = λ*y*A*`

Now, as `A*` is the adjoint of `A`, we have `

A*y*A* = (y*A)†

= (λ*y)†

= λ*y†`

So, `λ*y† = λ*y*A*`

i.e. `A*y = λ*y` as required.

So, `y` is a right eigenvector of `A*` associated with `λ`.We also need to show that `y` is a right eigenvector of `AT` associated with `λ`.For this, we have

`y*A = λ*y`

i.e. `A†*y† = λ*y†` (taking adjoint on both sides)`

A†*y† = (y*A)†

= (λ*y)†

= λ*y†`

i.e. `A†*y† = λ*y†`

Hence, `y` is a right eigenvector of `AT` associated with `λ`.Therefore, `y` is a right eigenvector of `A*` associated with `λ` and is a right eigenvector of `AT` associated with `λ`.Note: The result that a left eigenvector is also a right eigenvector of `A*` (and vice-versa) is known as the `fundamental property of eigenvectors`. This property is used extensively in linear algebra.

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Answer:

(x-2)^2 + (y+5)^2 = 16

Step-by-step explanation:

Original function:

Added 2 to the original function:

Subtracted 4 from  the original function:

Original

Shift 2 units upwards

Shift the graph 4 units down

The revised or posterior probabilities are:

The formula for Bayes' theorem is:

\(P(S_j|I) = (P(I | S_j) * P(S_j)) / P(I)\)

The law of total probability states that

"the probability of an event I is the sum of the probabilities of I given each state of nature, weighted by the probabilities of each state of nature."

i.e., \(P(I) = P(I|S_1) P(S_1) + P(I|S_2) P(S_2) + P(I|S_3) P(S_3)\)

Substituting the given values:

P(I)  = 0.1 x 0.2 + 0.05 x 0.5 + 0.2 x 0.3

      = 0.02 + 0.025 + 0.06

      = 0.105

Now, the revised probabilities are:

\(P(S_1|I) = (P(I | S_1) * P(S_1)) / P(I)\)

             = (0.1 x 0.2) / 0.105

             = 0.02 / 0.105

             = 0.1905

\(P(S_2|I) = (P(I | S_2) * P(S_2)) / P(I)\)

             = (0.05 x 0.5) / 0.105

             = 0.025 / 0.105

             = 0.2381

\(P(S_3|I) = (P(I|S_3) * P(S_3)) / P(I)\)

             = (0.2 x 0.3) / 0.105

             = 0.06 / 0.105

             = 0.5714

Thus, the revised probabilities are: \(P(S_1|I)\) = 0.1905, \(P(S_2|I)\) = 0.2381 and \(P(S_3|I)\) = 0.5714.

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The question attached here seems to be incomplete, the complete question is:

Suppose that you are given a decision situation with three possible states of nature: S1, S2, and S3. The prior probabilities are P(S1) = 0.2, P(S2) = 0.5, and P(S3) = 0.3. With sample information I, P(I | S1) = 0.1, P(I | S2) = 0.05, and P(I | S3) = 0.2. Compute the revised or posterior probabilities: P(S1 | I), P(S2 | I), and P(S3 | I). If required, round your answers to four decimal places.

State of Nature P (Sj|I)

S1

S2

S3

The rectangular coordinate form of a complex number is represented by the formula z=a+bi. The real axis is the horizontal one, and the imaginary axis is the vertical one. In terms of r and, where r is the vector's length and is the angle it makes with the real axis, we determine the real and complex components.

Rectangular form;-

Rectangular form, on the other hand, is where a complex number is denoted by its respective horizontal and vertical components. In essence, the angled vector is taken to be the hypotenuse of a right triangle, described by the lengths of the adjacent and opposite sides.

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Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ 1, 3 ] , then

f(3) = 18 ← value of y when x = 3

f(1) = 2 ← value of y when x = 1

Then

average rate of change = \(\frac{18-2}{3-1}\) = \(\frac{16}{2}\) = 8 → B

He needs to buy 30 jerseys and each jersey costs $29. Therefore, to find how much will the total cost will be, we need to to de the next operation:

Total cost = jerseys cost * amount need of jerseys

Therefore:

Total cost = 29* 30 - This is the equation

Total cost =870

Hence, the total cost will be $870.

The coordinates of point D, given the graph of ABC can be found to be

To fin the coordinates of D, you first need to find the distance between the points A and C.

You can also use the midpoint formula which combines the distance formula with the midpoint formula as:

=  ((x1 + x2) / 2, (y1 + y2) / 2)

The coordinates of Point D would be:

D = ((-3 + 3) / 2, (4 + 1) / 2)

= (0 / 2, 5 / 2) = (0, 2.5)

D =  (0, 2.5).

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The full question is:

The graph of A ABC has coordinates A(-3, 4), B(1, 4), and C(3, 1). In integers find the coordinates of point D if A, B, and C are the vertices of a triangle and D is the midpoint of segment AC.

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Based on the historical data provided by Glassboro Associates regarding the sales of electric cars, a forecast can be developed using the time-series analysis method, specifically, the moving average method.

The moving average method is a time-series analysis method that involves taking the average of the most recent n data values in a time series to forecast future values. This method assumes that future values are based on past behavior.

The formula for the moving average method is:

Forecast = (n1 + n2 + n3 + ... + nn) / n

Where n = the number of periods to be averaged, and n1, n2, n3, ... nn = the most recent n data values in the time series.

The historical data is shown in the table below:

Quarter Year 1 Year 2 Year 3 1 125 151 159 2 118 130 168 3 208 227 221 4 198 200 273

To develop a forecast, we will use the moving average method with n = 4. We will use the most recent four data values in each year to calculate the moving average forecast.

The forecast for each quarter of Year 1, Year 2, and Year 3 is shown in the table below:

Quarter Year 1 Year 2 Year 3 1 - - - 2 - - - 3 - - - 4 175.25 187.0 205.5

Therefore, the forecasted sales for Year 1, Year 2, and Year 3 are as follows:

Year 1 = 175.25 + 187.0 + 205.5 + 159 = 727.75

Year 2 = 187.0 + 205.5 + 159 + 168 = 719.5

Year 3 = 205.5 + 159 + 168 + 273 = 805.5

The forecast for Glassboro Associates' sales of electric cars over the next three years using the moving average method with n = 4 are 727.75, 719.5, and 805.5 for Year 1, Year 2, and Year 3, respectively.

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Answer: The break-even point is x = 15

Step-by-step explanation:

We have the equations:

c(x) = 10*x

r(x) = 210 - 4*x

I suppose that c(x) is the cost equation, and r(x) is the revenue equation.

"break-even" means that you don't lose nor win anything, then the difference between the revenue and the cost is 0.

Then we need to solve:

r(x) - c(x) = 0

(210 - 4*x) - (10*x) = 0

210 - 4*x - 10*x = 0

210 - 14*x = 0

210 = 14*x

210/14 = x

15

This means that for x = 15, you break even.

350 adult tickets were sold and 350 child tickets were sold.

Let's assume that "x" is the number of adult tickets sold and "y" is the number of child tickets sold.

We know that:

x + y = 700 (the total number of tickets sold)

7.5x + 5y = 4500 (the total revenue)

We can use the first equation to solve for one of the variables in terms of the other.

For example:

y = 700 - x

Substituting this into the second equation:

7.5x + 5(700 - x) = 4500

7.5x + 3500 - 5x = 4500

2.5x = -900

x = -360

Since x must be a positive integer (the number of adult tickets sold cannot be negative), this solution is not valid.

However, we can see that the equation does have a solution by trying a larger value for x:

x = 700

y = 0

This gives us:

7.5 * 700 + 5 * 0 = 4500

5250 = 4500

This solution is not valid either, since the number of child tickets sold cannot be zero.

By repeating this process, we can find that the solution is x = 350 and y = 350.

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MacPherson company is being faced with a situation of tight capacity at the Stratford plant which is currently at 13,000 units per month. There are two recommendations on how the company can mitigate the problem. The first recommendation is that the company should change its workforce level several times in a year while the second recommendation is that MacPherson invests $0.5M to increase the production capacity to 15,000 units per month. The labor union and some managers insist that the company should invest in increasing the production capacity instead of implementing the first option as it would lead to disruptive hiring and layoff.The recommendation to increase the production capacity to 15,000 units per month with a $0.5M investment will pay itself off within one year with the reduction in headcounts, new hires, and layoffs. Yes, I agree with the recommendation. Here is a detailed explanation:Investment in production capacity will reduce the per-unit cost of production which will allow the company to make more profits on each unit produced. With the increase in production capacity, the company will be able to produce more goods with the same amount of resources, and this will lead to a reduction in production costs. The reduction in production costs means that the company will be able to sell its goods at a lower price which will, in turn, increase demand for the products.With the increased demand for the product, the company will sell more and make more profits. The company will be able to meet the market demand for the product without any interruption which means there will be no need for hiring or layoffs. This reduction in hiring and layoffs will reduce the disruption that may be caused in the production process. The reduction in hiring and layoffs will also lead to a reduction in the cost of recruitment and training of new staff.The investment of $0.5M will pay for itself within one year because the reduction in the cost of production, hiring, and layoffs will offset the initial investment.

Answer:

1/5=0 more

.02=0 more

3/8= 1/2 less

2/3= 1/2 more

4/5= 1 less

0.9= 1 less

4/3= 1 more

Step-by-step explanation:

Ramya's mother was hired for a new job with a yearly income of $84,000. After considering deductions, her net monthly income can be calculated as follows.

To find Ramya's mother's net monthly income, we need to consider the deductions from her gross pay. The total deductions from her paycheck amount to 25% of her gross pay.

First, we calculate the total deductions by multiplying the gross pay by 0.25:

Total deductions = $84,000 * 0.25 = $21,000.

Next, we subtract the total deductions from the gross pay to find the net pay:

Net pay = Gross pay - Total deductions = $84,000 - $21,000 = $63,000.

To determine the net monthly income, we divide the net pay by the number of months in a year:

Net monthly income = $63,000 / 12 = $5,250.

Therefore, Ramya's mother's net monthly income is $5,250.

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The given expression '5 × (2 + 4) = 6' can solve the problem (C).

So, 5 × (2 + 4) = 6:

(A) To solve the situation (A), the expression will be:

(B) To solve situation (B), the expression will be:

(C) To solve the situation (C), the expression will be:

Therefore, the given expression '5 × (2 + 4) = 6' can solve the problem (C).

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The correct question is given below;
Which problem could be solved with the expression

5 × (2 + 4) = 6?

Choose 1 answer:

A. Khai, the dog, ate 2 bones on Monday, 4 bones on Tuesday, and 6 bones on Wednesday. On Thursday, she ate 5 times more bones than the other days combined. How many bones did Khai eat on Thursday?

B. Hayden made 2 bracelets before school and 4 after school each day for 5 days. Then he split the bracelets into 6 equal groups. How many bracelets did Hayden have in each group?

C. Shadi is building a new back deck. He puts 2 nails and 4 screws in each board. He did this to 5 boards. How many total screws and nails did he use?

Answer: C. Hayden made 2 bracelets before school and 4 after

school each day for 5 days. Then he split the

bracelets into 6 equal groups. How many bracelets

did Hayden have in each group?

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you invest $15,000 in the Anderson Balanced mutual fund, you would need to pay $727.50 in commissions, based on the sales load of 4.85 percent.

The sales load is a commission or fee charged by mutual funds for buying or selling shares. In this case, the Anderson Balanced mutual fund charges a sales load of 4.85 percent. To calculate the amount of commission you would need to pay, you can multiply your investment amount by the sales load percentage.

For a $15,000 investment, the commission would be calculated as follows:

$15,000 x 4.85% = $727.50

Therefore, if you invest $15,000 in the Anderson Balanced mutual fund, you would be required to pay $727.50 in commissions, which represents 4.85 percent of your investment amount.

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Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are, respectively, given by \(\mu = 9.4, \sigma = 2\).

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.915 = \frac{X - 9.4}{2}\)

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

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The equation that can be used to find the cost of shipping boxes is: 3p + 11 = 34.70. By solving the equation, we get p = $7.23.

The problem is about finding the cost of shipping boxes. Ava purchased 3 flat-rate shipping boxes, and a book of stamps, spending a total of $34.70. The problem asks to find out how much the post office charged for each shipping box, given that the cost of a book of stamps is $11.

To find the cost of a single flat-rate shipping box, let's assume that the post office charged p dollars for each shipping box. Therefore, the cost of three shipping boxes will be 3p dollars.

Along with this, Ava also bought a book of stamps which cost her $11.

So, the total amount she spent can be written as the sum of the cost of the shipping boxes and the cost of the book of stamps. This is given by:

3p + 11 = 34.70

Solving for p, we get:

p = (34.70 - 11)/3p = $7.23 (approx)

Therefore, each shipping box costs $7.23.

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Step-by-step explanation:

cos70°=6/x

x=6/cos70°

x=17,54

x=y

tan70°=h/6

h=tan70°×6

h=16,48

Answer:

2 electrons

Step-by-step explanation:

An atom is neutral if it has no charge. That means the positive and negative charge balance each other out.

There are two protons, so that is a charge of +2. To make the charge 0, there needs to be a charge of -2. -2= 2 electrons.

Answer:

Answer is 2

Step-by-step explanation:

Answer:

Hi can u answer my math question which anyone has not anwered it yet

Answer:

option c. 8²+6²=d²; 10mi.

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:

Step-by-step explanation:

A polynomial function involves only non-negative integer powers or only positive integer exponents of a variable in an equation.

Answer:

yes ,Polynomials can be as simple as the expression 4x, or as complicated as the expression . Polynomials are usually written in standard form, which means that the terms are listed in order from the largest exponential value to the term with the smallest exponent.. For example if n = 1, a1 = 7 and a0 = 0 then you get the expression 7x, so 7x is a polynomial

hope this helps:')