Grehyesjeyehevshsh. *Cries in no knowledge*

Answer:

Given:

f(x) = 3x + 2

g(x) = 2x – 5

f(2)+g(1)

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

Above we have three clues that we got from the question.

First, substitute the value of f(2) for f(x)

3(2)+2

6+2

8

Second, substitute the value of g(1) for g(x)

2(1)-5

2-5

-3

Now we have to add the f(x) value which is 8 and the g(x) value which is -3.

8+-3

5

Your final answer would be 5.

The material cost per equivalent unit using the weighted average method is $0.77.

To calculate the material cost per equivalent unit using the weighted average method, we need to consider the material costs incurred in the beginning work in process inventory and the current period costs.

The total material costs incurred in the beginning work in process inventory are $24,500. The number of equivalent units in the beginning work in process inventory can be calculated by multiplying the number of units (10,000) by the percentage of completion (45%). This gives us 4,500 equivalent units.

The total material costs incurred in the current period are $75,600. The number of equivalent units started and completed during the period is 120,000 units.

To calculate the material cost per equivalent unit, we add the material costs from the beginning work in process inventory and the current period costs, and then divide by the total equivalent units.

($24,500 + $75,600) / (4,500 + 120,000 + 8,200) = $0.77

Therefore, the material cost per equivalent unit using the weighted average method is $0.77.

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Answer:

d = \(\frac{7}{2}\)

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 16 , then

- 12 + 8d = 16 ( add 12 to both sides )

8d = 28 ( divide both sides by 8 )

d = \(\frac{28}{8}\) = \(\frac{7}{2}\)

Answer:

vertex (-3,-5) axis of symmetry x = -3

Step-by-step explanation:

Answer:

204 feet, 1 inch

Step-by-step explanation:

Circumference is one tire revolution

if you need to find the distance the bike travels you have to find the circumference and multiply by 30

C = 3.14(26)

C = 81.64(30) = 2,449.2 inches

if you divide 2,449.2 by 12 then you get 204 feet, 1 inch

Answer:

Um

Step-by-step explanation:

what are the statements?

The complete two-way frequency table is shown below.

what is frequency table?

a table that displays the distribution of a characteristic's occurrence frequency in accordance with a specific set of class intervals.

explanation:

Denote the events as follows:

U = a member have been to the United States

NU = a member have not been to the United States

A = a member have been to Australia

NA = a member have not been to Australia

The information provided is:

             A         NA        Total

U          5          __           11

NU       __         __           __    

Total      12         __           19

Complete the table as follows:

n (U ∩ NA) = n (U) - n (U ∩ A)

               = 11 - 5

                = 6

n (NU) = N - n (U)

          = 19 - 11

          = 8

n (NU ∩ A) = n (A) - n (U ∩ A)

                = 12 - 5

                = 7

n (NA) = N - n (A)

         = 19 - 12

         = 7

n (NU ∩ NA) = n (NA) + n (U ∩ NA)

                    = 7 - 6

                    = 1

Therefore, the complete 2-way Frequency table is:

            A         NA        Total

U          5           6           11

NU        7            1           8    

Total      12          7           19

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Answer:

yes

Step-by-step explanation:

the converse is Right

Answer: Adding a negative is the same as subtracting, so we will subtract 19 from 66.

66 - 19 = 47

The answer to -19 + 66 is equal to 47.

(a) To find the values of z for which the matrix does not have an inverse, we can set up the determinant of the matrix and solve for z when the determinant is equal to zero.

The given matrix is:

|x3  x|

|9   1|

The determinant of a 2x2 matrix can be found using the formula ad - bc. Applying this formula to the given matrix, we have:

Det = (x3)(1) - (9)(x) = x3 - 9x

For the matrix to have an inverse, the determinant must be non-zero. Therefore, we solve the equation x3 - 9x = 0:

x(x2 - 9) = 0

This equation has two solutions: x = 0 and x2 - 9 = 0. Solving x2 - 9 = 0, we find x = ±3.

So, the values of x for which the matrix has no inverse are x = 0 and x = ±3.

(b) (i) To find the size of the acute angle between the vectors (3,0) and (5,5), we can use the dot product formula:

u · v = |u| |v| cos θ

where u and v are the given vectors, |u| and |v| are their magnitudes, and θ is the angle between them.

Calculating the dot product:

(3,0) · (5,5) = 3(5) + 0(5) = 15

The magnitudes of the vectors are:

|u| = sqrt(3^2 + 0^2) = 3

|v| = sqrt(5^2 + 5^2) = 5 sqrt(2)

Substituting these values into the dot product formula:

15 = 3(5 sqrt(2)) cos θ

Simplifying:

cos θ = 15 / (3(5 sqrt(2))) = 1 / (sqrt(2))

To find the acute angle θ, we take the inverse cosine of 1 / (sqrt(2)):

θ = arccos(1 / (sqrt(2)))

(ii) If the vector (-k, 3) is orthogonal to (5,5), it means their dot product is zero:

(-k, 3) · (5,5) = (-k)(5) + 3(5) = -5k + 15 = 0

Solving for k:

-5k = -15

k = 3

So, the value of k is 3.

(c) Let J be the linear transformation from R2 to R2 that reflects points in the horizontal axis and then scales them by a factor of 2. The matrix of J can be found by multiplying the reflection matrix and the scaling matrix.

The reflection matrix in the horizontal axis is:

|1  0|

|0 -1|

The scaling matrix by a factor of 2 is:

|2  0|

|0  2|

Multiplying these two matrices:

J = |1  0| * |2  0| = |2  0|

   |0 -1|   |0  2|   |0 -2|

So, the matrix of J is:

|2  0|

|0 -2|

Therefore, y = 2 and z = -2.

(d) The volume of a parallelepiped can be found by taking the dot product of two adjacent sides and then taking the absolute value of the result.

The adjacent sides of the parallelepiped P are (0,3,0)

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A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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Answer:

9x + 15 < -12 =x<−3

Step-by-step explanation:

Step 1: Subtract 15 from both sides.

9x+15−15<−12−15

9x<−27

Step 2: Divide both sides by 9.

9x

9

<

−27

9

To find the magnitude and direction of a vector using trigonometry, you can follow these steps:

1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).

2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
  magnitude(A) = √(Ax^2 + Ay^2)

3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
  a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
     angle = arctan(Ay / Ax)
  b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).

4. Convert the direction to degrees or radians, depending on the required format.

Let's consider an example to illustrate these steps:

Suppose we have a vector A with components Ax = 3 and Ay = 4.

1. Identify the components: A = (3, 4).

2. Calculate the magnitude:
  magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

3. Find the direction:
  angle = arctan(4 / 3) ≈ 53.13 degrees.

4. Convert the direction:
  angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.

So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.

Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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There are 26^7 * 21 number of ways to create an 8-letter word using the 26-letter alphabet that begins or ends with a vowel, where 26 is the number of letters in the alphabet, and 21 is the number of consonants.

To find the number of 8-letter words that either begin or end with a vowel, we need to consider two cases: words that begin with a vowel and words that end with a vowel.

For words that begin with a vowel, we have one vowel as the first letter and any of the 26 letters of the alphabet for the remaining 7 letters. Hence, there are 26^7 ways to create an 8-letter word that begins with a vowel.

For words that end with a vowel, we have 21 consonants for the first letter and any of the 26 letters of the alphabet for the remaining 7 letters, followed by one of the five vowels. Hence, there are 21 * 26^7 * 5 ways to create an 8-letter word that ends with a vowel.

Therefore, the total number of 8-letter words that either begin or end with a vowel is the sum of the two cases: 26^7 + 21 * 26^7 * 5, which simplifies to 26^7 * 21.

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Answer:

A

Step-by-step explanation:

The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

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D. 62% of women in the sample are the primary investor in their household.Inference: Women in the United States are likely to be the primary investors in their households.

The answer to this question is D. 62% of women in the sample are the primary investor in their household. This is an example of the descriptive branch of statistics because it summarizes the data collected in the survey. The inference based on the results of the survey is that women in the United States are likely to be the primary investors in their households.

62% of women in the sample are the primary investor in their household.

Inference: Women in the United States are likely to be the primary investors in their households.

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The margin of error is multiplied by √2. The correct option is B.

The margin of error is affected by the sample size and the standard deviation of the population. When the sample size is cut in half, the margin of error increases because there is more uncertainty in estimating the population mean. The formula for margin of error is:

Margin of Error = Z * (Standard Deviation / √Sample Size)
When the sample size is cut in half, the new margin of error becomes:
New Margin of Error = Z * (Standard Deviation / √(Sample Size / 2))
By factoring out the square root, we get:
New Margin of Error = Z * (Standard Deviation / (√Sample Size * √0.5))
This shows that the original margin of error is multiplied by √2 when the sample size is cut in half.

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Answer:

250 hours

Step-by-step explanation:

Jeez can Marriyam get some more money per hour?

Ok, Marriyam is given 75 dollars so she only need to pay 325-75 = $250.

Since Marriyam earns 1 dollar an hour she need to work 250 hours.

Hopefully that helps.

If her job pays I dollars per hour, 250 hours does she need to work to buy the skateboard.

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Marriyam was given $75 for a birthday present.

She's going to use that gift, plus the earnings from her summer job, to buy a skateboard that costs $325.

The amount left she has to earn is;

= 325 - 75 = $250

If her job pays I dollars per hour, how many hours does she need to work to buy the skateboard is;

\(= 1\times 250\\\\=250\)

Hence, If her job pays I dollars per hour, 250 hours does she need to work to buy the skateboard.

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A circle is a curve sketched out by a point moving in a plane. The radius and the diameter of the circle are 5.57x cm and 11.14x cm, respectively.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that circumference of the circle is 35x cm. Therefore, the radius and the diameter of the circle can be written as,

Circumference of circle = 2 × π × (Radius of the circle)

35x cm = 2 × π × (Radius of the circle)

(Radius of the circle) = 35x/ (2 × π)

The radius of the circle = 5.57x cm

Diameter of circle = 2 × (Radius of the circle)

                             = 2 × 5.57x cm

                             = 11.14x cm

Hence, the radius and the diameter of the circle are 5.57x cm and 11.14x cm, respectively.

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The probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase, is approximately 0.260 or 26.0%.

Let H denote the event that the policyholder is a home renter, and A denote the event that the policyholder is an apartment renter. We are given that P(H) = 0.4 and P(A) = 0.6.

Let T denote the time from policy purchase until policy cancellation. We are also given that T | H ~ Exp(1/4), and T | A ~ Exp(1/2).

We want to calculate P(H | T > 1), the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase:

P(H | T > 1) = P(H and T > 1) / P(T > 1)

Using Bayes' theorem and the law of total probability, we have:

P(H | T > 1) = P(T > 1 | H) * P(H) / [P(T > 1 | H) * P(H) + P(T > 1 | A) * P(A)]

To find the probabilities in the numerator and denominator, we use the cumulative distribution function (CDF) of the exponential distribution:

P(T > 1 | H) = e^(-1/4 * 1) = e^(-1/4)

P(T > 1 | A) = e^(-1/2 * 1) = e^(-1/2)

P(T > 1) = P(T > 1 | H) * P(H) + P(T > 1 | A) * P(A)

= e^(-1/4) * 0.4 + e^(-1/2) * 0.6

Putting it all together, we get:

P(H | T > 1) = e^(-1/4) * 0.4 / [e^(-1/4) * 0.4 + e^(-1/2) * 0.6]

≈ 0.260

Therefore, the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase, is approximately 0.260 or 26.0%.

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In Bayes Theorem, | stands for 'given' or 'conditional on'. In bar charts, tend to summarize categorical type data. In Bayes Theorem, you have some starting information, then you collect some new information so that you can update the original probabilities so you now have better information.

In Bayes Theorem, the symbol | stands for 'given' or 'conditional on'. It is used to indicate that the probability is calculated under the condition that a certain event has occurred. For example, P(A|B) represents the probability of event A given that event B has occurred.

In bar charts, tend to summarize categorical type data. A bar chart is a type of graph that uses rectangular bars to represent data. Each bar in the chart represents a category, and the height of the bar represents the frequency or count of that category. Bar charts are useful for comparing the frequencies of different categories or showing the distribution of a single categorical variable.

In Bayes Theorem, you have some starting information, then you collect some new information so that you can update the original probabilities. This allows you to have better information and make more accurate predictions or decisions based on the new evidence.

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In Bayes Theorem, the vertical bar "|" represents "given" or "conditional on". Bar charts tend to summarize categorical or discrete type data. Bayes Theorem allows for updating the original probabilities based on new information, resulting in improved and more accurate estimates.

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Answer:

jn8huuojgui

Step-by-s

Robert can read 180 pages in \(1\frac 12\) hours

The given parameters in the question are:

Speed = 2 pages per minute

Number of hours = \(1\frac 12\) hours

The number of pages to read in this time can be calculated using the following equation

Number of pages = Speed * Number of hours

Substitute the known values in the above equation So, we have the following equation

Number of pages = 2 * \(1\frac 12\)

Convert the units

Number of pages = 2 * \(1\frac 12\) * 60

Evaluate

Number of pages = 180

Hence, the number of pages is 180 pages

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Answer:

C(r) is the area of the base of a cylindrical tank with radius r.

We know that this area is:

C(r) = pi*r^2

S(x) is the area of the square base where x is the side length of the base.

S(x) = x*x

Now, we have the expression:

S( C(r)) wich means that we are evaluating the function S(x) in the point x = C(r)

Now, we have a problem here.

In S(x), S(x) is in units of area, and x is in units of length.

And the same for C(r), C(r) is in units of area, and r in units of length.

then we can not have x = C(r)

Then this expression does not represent anything, because the units do not match, so it has no physical sense.

Conclusion
Therefore, for some natural number N, n ≥ N and n ∈ N implies |(p - q)/n| < ε.

To show that for some natural number N, n ≥ N and n ∈ N implies |p/n - q/n| < ε, we'll use the Archimedean property of real numbers. The Archimedean property states that for any positive real numbers a and b, there exists a natural number n such that n*a > b.

Let's consider the inequality we want to prove: \(|p/n - q/n| < ε.\)

Step 1: Rewrite the inequality
First, we can rewrite the inequality as |(p - q)/n| < ε, since we are allowed to combine the fractions.

Step 2: Apply the Archimedean property
By the Archimedean property, we know that for any ε > 0, there exists a natural number N such that N > (p - q)/ε.

Step 3: Rearrange the inequality
We can rearrange the inequality from step 2 to get\( N*ε > p - q. \)

Step 4: Divide by N
Now, divide both sides of the inequality by N to get \(ε > (p - q)/N.\)

Step 5: Relate this to our original inequality
We want to show that |(p - q)/n| < ε for some n ∈ N, where n ≥ N. Since n ≥ N, and ε > (p - q)/N, we have ε > (p - q)/n for n ∈ N and n ≥ N

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Answer:

960 pennies or $ 9.60

Step-by-step explanation:

2400/2.5 = 960 pennies