Evaluate
(
3
7
)
−
2
Give your answer as an improper fraction in its simplest form

Answer: y-2=2(x+1)

Step-by-step explanation: You get the point slope formula and simply put in the information given

Answer:

20

Step-by-step explanation:

So, you need to deposit $628.86 monthly to accumulate $100,000 in 15 years with an APR of 7%.

To create a college fund for your child, you must determine the amount you need to deposit every month. The fund that offers an APR of 7% will help you accumulate the amount in the future. Here are the steps to find out how much you need to deposit monthly.
Step 1: Determine the total amount required for college funds.
The first step is to determine the total amount you need to pay for college funds. Suppose you want to create a college fund for your child that requires $100,000 in 15 years. Use a present value calculator or online present value calculator to determine the future value of the college fund.
Step 2: Determine the interest rate
The second step is to determine the interest rate you will receive on your savings. Suppose the fund offers an APR of 7%.
Step 3: Determine the number of years
The third step is to determine the number of years you have until you need the money. Suppose you have 15 years.
Step 4: Use the annuity formula
The fourth step is to use the annuity formula to determine how much you need to deposit every month. The formula is:
PMT = FV × i / ((1 + i)n - 1)
Where PMT is the monthly payment, FV is the future value, i is the interest rate, and n is the number of payments.
Using the given values:
PMT = 100,000 × 0.07 / ((1 + 0.07)^15 - 1)
PMT = 100,000 × 0.07 / 11.283
PMT = $628.86

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The expected frequency of east campus and passed is C. 42 students

The table for expected frequency is ,

East Campus West Campus Total

Passed (84*100)/22=42 (84*100)/200 =42 84

Failed (116*100)/200=58 (116*100)/22=58 116

Total 100 100 200

Passed = 84×100/200

= 42

Therefore, the expected frequency of East Campus and Passed is 42 students.

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TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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Answer:

63 ft

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Round 63.44 to the nearest hundredth

Therefore, Travis stepped back 63 feet to gain a better view!

after subtracting and simplifying the expression ( 2 x⁴ + 5 x³ - 8 ) - ( 9 x ² - 8 x + 8 ), we get the result as 2 x⁴ + 5 x³ - 9 x² + 8 x - 16.

We are given an expression:

( 2 x⁴ + 5 x³ - 8 ) - ( 9 x ² - 8 x + 8 )

We need to subtract the expression and simplify the result.

We get that:

Subtracting the expression, we get that:

2 x⁴ + 5 x³ - 8 - 9 x ² + 8 x - 8

Simplifying the expression, we get that:

= 2 x⁴ + 5 x³ - 9 x² + 8 x - 16

Therefore, after subtracting and simplifying the expression ( 2 x⁴ + 5 x³ - 8 ) - ( 9 x ² - 8 x + 8 ), we get the result as 2 x⁴ + 5 x³ - 9 x² + 8 x - 16.

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The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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To use Theorem 4.6 and find the values of k for which the matrix A is invertible, we first need to know the elements of the matrix A. Please provide the matrix so I can help you determine the values of k.

Theorem 4.6 states that a square matrix A is invertible if and only if its determinant is nonzero. Therefore, to find all values of k for which A is invertible, we need to find the determinant of the matrix and set it equal to zero.

Let A be the given matrix. We have:

det(A) = (k-2)(-1)(k-1) + (-1)(k-1)(2k-3) + (k-2)(2k-3)(k-1)
det(A) = -k^3 + 5k^2 - 5k + 3

Setting det(A) equal to zero and solving for k, we get:

-k^3 + 5k^2 - 5k + 3 = 0

Using synthetic division or factoring, we can find that k = 1 is a root of this equation. Dividing by (k-1), we get:

-(k^2 - 4k + 3) = 0

Factoring again, we get:

-(k-1)(k-3) = 0

Therefore, the values of k for which A is invertible are k = 1 and k = 3.

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Answer:

Chemical problems, too shallow and too wet.

These make exate 50%.

Hope it helps!!!

Answer:

2.98c (c= one pound of chicken)

Step-by-step explanation:

The slope of the line that represents the relationship between x and y is 3.33.

What is positive and negative slope?

The slope of a line, which in mathematics is a measure of how steep it is, is the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on a line. In contrast to a line with a negative slope, which is travelling downhill from left to right, a positive slope line is moving uphill from left to right. The y-coordinate rises as the x-coordinate rises in a positive slope, whereas the y-coordinate falls as the x-coordinate rises in a negative slope, to put it another way.

The slope of the line is given as:

slope = (change in y) / (change in x)

Substituting the points (0, 0) and (0.3, 1).

slope = (1 - 0) / (0.3 - 0) = 1 / 0.3 = 3.33

Hence, the slope of the line that represents the relationship between x and y is 3.33.

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Answer:

the x axis changes

Step-by-step explanation:

Out of the given options, the function "\(f(t) = e^{(t + t^2)}\)" is the complex variable.

A complex variable is a mathematical quantity that can take on both real and imaginary values. In the given options, the function "\(f(t) = e^{(t + t^2)}\)" involves the variable "t" in the exponent. This makes it a complex variable because the exponent can result in both real and imaginary values.

In contrast, the other options do not involve such exponential or variable components that can yield imaginary values. The first option, "sigma + j omega", represents a complex number with a real part (sigma) and an imaginary part (j omega), but it is not a variable itself.

The second option, "integral \(e^{(-s t)} dt\) ", represents an integral expression involving the variable "t", but it does not yield a complex value. The third option, "|sigma(t)|", represents the absolute value of a function, which is a real value.

Therefore, out of the given options, the function "\(f(t) = e^{(t + t^2)}\\\) " is the complex variable.

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Answer:

a) 4^12

b) 6^7

c) 8^5

d) 7^2

Answer:

Step-by-step explanation:

The mean study time of students in Class B is less than students in Class A.

If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer:

32

Step-by-step explanation:

The number of bookmarks she made is 4 times as many as the number of name tags she made.

4 times = 4*

If she made 8 name tags, how many bookmarks did she make?

Hence, equation is 4*8 which equal 32.

[RevyBreeze]

To determine the probability that Alice will flip more heads than Bob, we can use the concept of binomial probability.

Let's consider the number of heads flipped by Alice as a random variable X, which follows a binomial distribution with parameters n = 1201 (number of trials) and p = 0.5 (probability of getting a head on a fair coin). Similarly, the number of heads flipped by Bob can be represented as a random variable Y, which follows a binomial distribution with parameters n = 1200 and p = 0.5.

To calculate the probability that Alice will flip more heads than Bob, we need to find P(X > Y). This can be done by summing up the probabilities of all possible values of X that are greater than the corresponding values of Y.

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 1200 - 1200)

We can simplify this expression by noticing that P(X = k) = P(Y = k) for any given value of k.

Therefore, P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

Using the binomial probability formula, the probability of getting exactly k heads out of n trials is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) represents the number of ways to choose k successes out of n trials, given by the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Now we can calculate the probability:

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

        = [C(1201, 1201) * 0.5^1201 * 0.5^0] + [C(1201, 1200) * 0.5^1200 * 0.5^1] + ... + [C(1201, 601) * 0.5^601 * 0.5^600]

This calculation involves summing up a large number of terms, so it can be computationally intensive. However, we can approximate the probability by using methods such as Monte Carlo simulation or statistical software.

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To describe the cylindrical shell, we can use the following inequalities:

Length: Since the cylindrical shell is 7 units long, we can use the inequality: 0 ≤ z ≤ 7, where z represents the height or the vertical axis.

Inside Diameter: The inside diameter of the cylindrical shell is 2 units. We can use the inequality: (x^2 + y^2) ≥ 1, where x and y represent the coordinates on the horizontal plane and (x^2 + y^2) represents the distance from the origin.

Outside Diameter: The outside diameter of the cylindrical shell is 3 units. We can use the inequality: (x^2 + y^2) ≤ 2.25, where (x^2 + y^2) represents the distance from the origin.

Combining these inequalities, the complete description of the cylindrical shell would be:

0 ≤ z ≤ 7,

(x^2 + y^2) ≥ 1,

(x^2 + y^2) ≤ 2.25.

These inequalities define the region in 3D space that corresponds to the cylindrical shell with a length of 7 units, inside diameter of 2 units, and outside diameter of 3 units.

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1. The balloon's initial temperature was ____ °C.

2. The temperature of the oil is ____ °C.

1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.

2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.

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The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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The time it will take Vincent to complete a lap at each pace of running and walking is 3 minutes and 4 minutes respectively?

Let

Vincent requires 40 minutes to do 4 laps running and 7 laps walking:

4x + 7y = 40

Vincent requires 18 minutes to do 2 laps running and 3 laps walking:

2x + 3y = 18

Solve the equation simultaneously

4x + 7y = 40

2x + 3y = 18

multiply (2) by 2

4x + 6y = 36

4x + 7y = 40

4x + 6y = 36

Subtract the equation to eliminate x

y = 4 minutes

substitute y = 4 into equation (2)

2x + 3y = 18

2x + 3(4) = 18

2x + 12 = 18

subtract 12 from both sides

2x = 18 - 12

2x = 6

divide both sides by 2

x = 6/2

x = 3 minutes

Therefore, it takes Vincent 3 minutes to complete a lap running and 4 minutes to complete a lap walking.

Complete question:

to keep in shape vincent exercises at track near his home. he requires 40 minutes to do 4 laps running and 7 laps walking . in contrast he requrires 18 minutes to do 2 laps walking assuming he maintains a consistent pace while running and while walking how long doses vincent take complate a lap at each pace

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An employee who is fired from his or her job because he or she lacks the skills required to accomplish the task, is part of structural unemployment.

Long-term unemployment known as structural unemployment is brought on by basic changes in an economy and made worse by unrelated elements like technology, rivalry, and public policy.

The type of unemployment you are referring to is called "structural unemployment."

Structural unemployment occurs when there is a mismatch between the skills possessed by job seekers and the skills demanded by employers. In this case, the employee lacks the necessary skills required to perform the job successfully, leading to their termination. Structural unemployment is a result of long-term changes in the economy, such as technological advancements or shifts in the structure of industries.

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Answer:

work is shown and pictured

Answer:

which equation describes the line with the slope of -3 that contains the point (2,4)?

Step-by-step explanation:

it's not really an answer more of a question, it is kinda similar, I just need help please comment if you know the answer!

Answer:

C edge 23'

Step-by-step explanation:

Answer: 15,048

Step-by-step explanation:

The probability that the randomly selected patient had a blood test requested during their visit is approximately 0.120

In this case:

We can calculate the overall probability as the weighted average of the probabilities from each doctor:

Probability = (Probability from Dr. Sarabia) * (Percentage of patients seen by Dr. Sarabia) + (Probability from Dr. Tran) * (Percentage of patients seen by Dr. Tran) + (Probability from Dr. Jackson) * (Percentage of patients seen by Dr. Jackson)

Probability = (0.10 * 0.27) + (0.10 * 0.32) + (0.15 * 0.41)

Probability ≈ 0.027 + 0.032 + 0.061

Probability ≈ 0.12

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Answer:

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.

I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree

Step-by-step explanation:

.