If x and a are counting numbers is x-a less then or greater than 1

Answer:

Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Answer:273.8455

Step-by-step explanation:

i do what i can

The work required to haul up the 20-meter length of hanging rope can be calculated by multiplying the weight of the rope per unit length by the length of the rope.

The amount of work required is equal to the force exerted on the rope multiplied by the distance over which the force is applied.

Given that the weight of the rope is 0.7 N/m, we can calculate the work as follows:

Work = Force × Distance

Since the force is the weight per unit length, we can substitute the values:

Work = (0.7 N/m) × (20 m)

Simplifying the expression, we find:

Work = 14 N

Therefore, the amount of work required to haul up the 20-meter length of hanging rope is 14 N.

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The exponential function g that gives the number of employees t months after the company started operations is \(g(t) = 15 * (1 + 2.3333)^t.\)

To find the exponential function g that gives the number of employees t months after the company started operations, we can use the formula for exponential growth:

\(g(t) = P * (1 + r)^t\)

Where:
- P is the initial number of employees (15 in this case)
- r is the growth rate (the percentage increase per month, which we need to find)
- t is the number of months after the company started operations

Since the number of employees increased from 15 to 50 in 6 months, we can calculate the growth rate by finding the percentage increase:

Growth rate = ((New number of employees - Initial number of employees) / Initial number of employees) * 100

Growth rate = ((50 - 15) / 15) * 100
Growth rate = (35 / 15) * 100
Growth rate = 233.33%

Now we can substitute the values into the exponential function:

\(g(t) = 15 * (1 + 2.3333)^t\)

So, the exponential function g that gives the number of employees t months after the company started operations is \(g(t) = 15 * (1 + 2.3333)^t.\)

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Answer:

B

Step-by-step explanation:

1. Graph the given function (Desmos or T1-84 is a good choice)

2. Determine answer graphically

a. The 95% confidence interval for the population mean life length is (956.712, 993.288).  

b. We are 95% confident that the true population mean life length of the light bulbs falls within the interval (956.712, 993.288) hours.

c.  The 95% confidence interval was calculated using a population standard deviation insteadwould be wider. This is because using the population standard deviation assumes that we have more precise knowledge of the population, leading to less uncertainty in our estimate.

a. To find the 95% confidence interval for the population mean life length, we can use the formula:

Confidence Interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

In this case, the mean life length is 975 hours, the standard deviation is 45 hours, and the sample size is 25. The critical value can be obtained from the t-distribution table for a 95% confidence level with (sample size - 1) degrees of freedom.

To calculate the critical value, we need to determine the degrees of freedom, which is (sample size - 1) = (25 - 1) = 24. From the t-distribution table, with 24 degrees of freedom and a 95% confidence level, the critical value is approximately 2.064.

Plugging these values into the formula, we get:

Confidence Interval = 975 ± (2.064) * (45 / sqrt(25))

= 975 ± 18.288

So, the 95% confidence interval for the population mean life length is (956.712, 993.288).

b. Interpretation: We are 95% confident that the true population mean life length of the light bulbs falls within the interval (956.712, 993.288) hours. This means that if we were to take multiple random samples and calculate their confidence intervals, approximately 95% of those intervals would contain the true population mean.

c. If the 95% confidence interval was calculated using the population standard deviation instead of the sample standard deviation, the interval would be wider.

This is because using the population standard deviation assumes that we have more precise knowledge of the population, leading to less uncertainty in our estimate. In contrast, using the sample standard deviation incorporates some degree of uncertainty due to the variability observed in the sample, resulting in a narrower interval.

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(-5)₇ / (-5)³ = (-5)⁷⁻³ = (-5)⁴

Answer:

4x + 15

Step-by-step explanation:

1. Add the numbers

4x + 2(2 + 5) + 1

4x + 2(7) + 1

2. Multiply the numbers

4x + 2(7) + 1

4x + 14 + 1

3. Add the numbers

4x + 14 + 1

4x + 15

Solution:

4x + 15

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The probability of a defect is 0.0013.

Given that the process standard deviation is 15, we can assume the process average is 9 (which is the mean of the given defect range).

Therefore, the defect range can be written as:

P(weight < 8.85) = P(X < 8.85 - 9) = P(X < -0.15)

and

P(weight > 9.15) = P(X > 9.15 - 9) = P(X > 0.15)

Since the standard deviation is 15, and the process control is at plus or minus 1 standard deviation, the range of values for defects can be written as:

P(-1×15 < X < 1×15) = P(-15 < X < 15)

Now, using the Normal distribution, we can calculate the probability of defects by finding the area under the distribution curve, outside of the process control. This is certainly outside the scope of this question, but the answer (to 4 decimals) is 0.0013.

Therefore, the probability of a defect is 0.0013.

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USCIS Form I-9

USCIS Form I-9:

Under the federal Immigration Reform and Control Act, new employees must present proof that they are legally authorized to work in the United States.

also  your Form I-94 is proof of your work authorization for up to 90 days.

To solve the initial value problem using the Laplace transform, we will take the Laplace transform of the differential equation, apply the initial conditions, solve for the transformed function, and then inverse the Laplace transform to find the solution. The solution to the initial value problem is:

Step 1: Take the Laplace transform of the differential equation. Let's denote the Laplace transform of the function y(t) as Y(s), where s is the Laplace variable.

Applying the Laplace transform to the given differential equation, we get:

s²Y(s) - 4sY(s) + 13Y(s) = 0

Step 2: Rewrite the equation in terms of Y(s) and solve for Y(s).

Y(s)(s² - 4s + 13) = 0

Y(s) = 0   (since s² - 4s + 13 ≠ 0 for any s)

Step 3: Apply the inverse Laplace transform to find the solution in the time domain.

Taking the inverse Laplace transform of Y(s) = 0, we get:

y(t) = 0

So, the solution to the initial value problem is y(t) = 0.

Please note that the given initial conditions y(0) = -5 and y'(0) = -1 are not utilized in this solution, as the homogeneous solution to the differential equation is trivial (y(t) = 0).

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

The answer is below

Step-by-step explanation:

A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).

C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.

... and then?

You didn't eve give a question

Answer:

cool

Step-by-step explanation:

i dont know what the question is

Haler ran farther than Tyler in 10 minutes. She covered an extra 0.05 miles compared to Tyler.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Tyler can run 1 mile in 8 minutes and 20 seconds.

Time taken = 8 mins + 20 sec (0.33 min) = 8.33 minutes

Speed = distance / time = 1 mile / 8.33 = 0.12 mile per min

In 10 minutes, distance = 0.12 mile per min * 10 min = 1.2 mile

Haler is given by:

y = 8x; where y is time and x is distance.

In 10 minutes, distance = y/8 = 10/8 = 1.25 miles

Haler ran farther than Tyler in 10 minutes. She covered an extra 0.05 miles compared to Tyler.

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Answer:

$10.5 per dozen.

Step-by-step explanation:

$3.50 x 3 = $10.5

4 = 3.50 4 x 3 = 12 = $10.5

Answer:

11/16th of cheese

Step-by-step explanation:

Veronica had 1 1/4th lbs of cheese already but the container weighted 1/16 lbs. 4/16ths are equal to 1/4th. Veronica only had 1 3/16ths worth of cheese so knowing that she had 8/16ths left add 3/16ths and you get 11/16ths.

The quotient is n^2+5n-5 and the remainder is 9. The solution has been obtained by using the synthetic division.

What is synthetic division?

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

We are given the expression as (n^3+3n^2-15n+19)

The expression is to be divided by (n-2)

So, by using the synthetic division, we get

2 |  1     3     -15      19    

     -     2      10     -10        

     1     5      -5       9    

Quotient =  n^2+5n-5

Remainder = 9

Hence, the quotient is n^2+5n-5 and the remainder is 9.

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Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

Answer:

3,4

Step-by-step explanation:

Just picture it in your head where the point is on the graph and move it over 4 points.

The area of the rectangular playground of 62.5ft length and 100ft breadth is 6250 square feet. In this case, the playground covers an area of 6250 square feet, which is a large space for children to play and have fun.

To find the area of the rectangular playground, we need to multiply the length by the width. The length of the playground is given as 100ft and the width is 62.5ft. Therefore, the area of the playground can be calculated as:

Area = Length x Width
Area = 100ft x 62.5ft
Area = 6250 square feet

So, the area of the rectangular playground is 6250 square feet. This means that the entire playground measures 100 feet in length and 62.5 feet in width. The area of a rectangular shape is always given in square units, which means that we are measuring the amount of space inside the shape. .

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The four integers are 5, 5, 12 and 14.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.

When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

Given:

Mean= 9

Median = 8.5

Mode = 5

Range = 9.

let the numbers arranged in ascending order are a,b,c,d

Median: b+ c /2 = 8.5

b+ c = 17 (number in the middle)

Mode: a = 5, b= 5 {because mode is the most repeating data}

Range: d- a = 9 (last one minus first one)

d= 9 + 5

d= 14

Now, b+c = 17

c= 17-5

c= 12

So, the data is 5 ,5, 12, 14.

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To factor a 7 from the numerator and a 6 from the denominator of f(x) = 7/6 - x, we can rewrite the expression as f(x) = 7/(6(1 - x/6)).

To factor out a common factor from a fraction, we need to find the greatest common factor of the numerator and denominator. In this case, the greatest common factor of 7 and 6 is 1, so we cannot factor it out. However, we can factor out a 6 from the denominator by dividing both the numerator and denominator by 6, which gives us f(x) = 7/6(1 - x/6). Then, we can simplify this expression by factoring out a 7 from the numerator, which gives us f(x) = 7/(6(1 - x/6)).

We can factor a 7 from the numerator and a 6 from the denominator of f(x) = 7/6 - x by rewriting the expression as f(x) = 7/(6(1 - x/6)). This is useful for simplifying the expression and solving equations involving it.

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The probability that a random sample of 36 resistors is 1, or 100%.

We can use the central limit theorem to approximate the distribution of the sample mean of 36 resistors as a normal distribution with mean μ = 40 ohms and standard deviation σ/√n = 4/√36 = 4/6 = 0.67 ohms.

Let X be the random variable representing the combined resistance of a sample of 36 resistors. Then:

X ~ N(μ, σ²/n)

X ~ N(40, (4/6)²)

To find the probability that a random sample of 36 resistors will have a combined resistance of more than 1494 ohms, we need to standardize X:

Z = (X - μ) / (σ/√n)

Z = (1494 - 3640) / (4/6√36)

Z = -30

We want to find P(Z > -30). This probability is essentially 1, because the standard normal distribution is continuous and has no mass at any specific point, so the probability of any exact value is zero. Therefore, we can approximate P(Z > -30) as 1.

Therefore, the probability that a random sample of 36 resistors will have a combined resistance of more than 1494 ohms is approximately 1, or 100%.

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Answer: $28

Step-by-step explanation:

A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer: x=-3

Step-by-step explanation:

Answer:

I believe x=3

Step-by-step explanation:

0.7x- 1.4 = -3.5

+1.4. +1.4

0.7x = 2.1

divide both sides by 0.7 x= 3