help me again pleaseee

Answer:

east

Step-by-step explanation:

friction force moves in opposite direction

\(f(f^{-1}(x))=f \left(\frac{x+6}{5} \right)=5 \left(\frac{x+6}{5} \right)-6=x+6-6=x\\\\f^{-1}(f(x))=f^{-1}(5x-6)=\frac{5x-6+6}{5}=\frac{5x}{5}=x\)

Since \(f(f^{-1}(x))=f^{-1}(f(x))=x\), the functions are inverses of each other.

The composition of functions is x, f(x) and f⁻¹(x) are inverse functions.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

The given functions are f(x)=5x-6 and f⁻¹(x)=(x+6)/5.

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Now, h(x)=f(f⁻¹(x))

h(x)=5((x+6)/5 -6)

h(x)=x+6-6

h(x)=x

Since, the composition of functions is x, f(x) and f⁻¹(x) are inverse functions.

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The cost of the calculator before the total is $24.95

From the question, we have the following parameters that can be used in our computation:

Total cost = $28.19

Tax = 13%

Using the above as a guide, we have the following:

Total cost = Initial cost * (1 + Tax)

substitute the known values in the above equation, so, we have the following representation

Initial cost  * (1 + 13%) = 28.19

So, we have

Initial cost   = 28.19/(1.13)

Evaluate

Initial cost = 24.95

Hence, the cost of the calculator before the total is $24.95

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Answer:

5+x/4

Step-by-step explanation:

Answer:

I believe you have selected all the correct answers, just give me a few seconds to make sure.

Answer:

36.08

Step-by-step explanation:

This my answer thanks

The equation that can be entered into a graphing calculator to solve 16.9x–2.3=3.2x+18 are y = 16.9x - 2.3 and y = 3.2x + 18 respectively. Option B is correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

The equation is

16.9x - 2.3 = 3.2x + 18

From options
y = 16.9x - 2.3 and y = 3.2x + 18

Hence, the equation that can be entered into a graphing calculator to solve 16.9x–2.3=3.2x+18 are y = 16.9x - 2.3 and y = 3.2x + 18 respectively.

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A pond contains 100 fish, of which 30 are carp. if 20 fish are caught, what are the mean and variance of the number of carp among the 20. This Statement is based on the assumption that : X follows hyper-geometric distribution with the given information.

According to the Question:

Total fish = 100

Carp = 30

Number of fish caught = 20

Now,

The random variable X follows hyper-geometric distribution.

Mean = 30 *20 / 100

         = 600/100 = 6

Therefore,

Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)

⇒ Variance = 600/100 * 56/99

⇒ Variance = 112/33

⇒ variance = 3.1111 ≈ 3.12

Assumptions:

Is that X follows hyper-geometric distribution with the given information.

Hyper - Geometric Distribution:

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that yields n draws without replacement for k successes (if the drawn object has a particular property). random draw). From a finite population of size N containing exactly K objects with this property, each draw either succeeds or fails. In contrast, the binomial distribution describes the probability of k successes in n draws with replacement.

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The turkey farmer should guarantee a weight of 13.45 pounds to have to give her customers' money back only 1% of the time.

To determine the weight the turkey farmer should guarantee, we need to find the value that corresponds to the 99th percentile of the normal distribution. Using the mean (9.0 pounds) and standard deviation (2.8 pounds) provided, we can calculate this value.

To find the 99th percentile, we can use the Z-score formula: Z = (X - μ) / σ, where Z is the standard score, X is the value we're looking for, μ is the mean, and σ is the standard deviation. Rearranging the formula to solve for X, we have X = Z * σ + μ.

Since we want the 99th percentile, we need to find the Z-score that corresponds to that percentile. Using a standard normal distribution table or calculator, we find that the Z-score for the 99th percentile is approximately 2.33.

Plugging the values into the formula, we have X = 2.33 * 2.8 + 9.0 = 13.45 pounds. Therefore, the turkey farmer should guarantee a weight of at least 13.45 pounds to have to give her customers' money back only 1% of the time.

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The values of r are determined, the general solution can be written as:

y = c1e^(r1t) + c2e^(r2t)

where c1 and c2 are constants that can be determined using initial conditions or boundary conditions, if given.

To find the general solution of the given differential equation:

42y'' + 11y' - 3y = 0

We can assume a solution of the form y = e^(rt), where r is a constant to be determined.

Differentiating y with respect to t:

y' = re^(rt)

Differentiating y' with respect to t again:

y'' = r^2e^(rt)

Now, substitute these expressions for y, y', and y'' into the original differential equation:

42(r^2e^(rt)) + 11(re^(rt)) - 3(e^(rt)) = 0

Simplify the equation by factoring out e^(rt):

e^(rt)(42r^2 + 11r - 3) = 0

For the equation to hold for all t, the expression in the parentheses must equal zero:

42r^2 + 11r - 3 = 0

This is a quadratic equation that can be solved using factoring, the quadratic formula, or other methods. Solving this equation gives two possible values for r:

r1 = (-11 + √(11^2 - 442(-3))) / (242)

r2 = (-11 - √(11^2 - 442*(-3))) / (2*42)

Simplifying these values will give the exact solutions for r.

Once the values of r are determined, the general solution can be written as:

y = c1e^(r1t) + c2e^(r2t)

where c1 and c2 are constants that can be determined using initial conditions or boundary conditions, if given.

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Given :

A mountain climber started his climb at 50 feet above see level .

He then raised 3 feet to rest in his cot to make his final 10 feet climb down.

To Find :

An expression to find his position relative to his final position.

Solution :

Let , final position is h .

h is given by :

\(h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet\)

So , his final position is 15 feet .

Hence , this is the required solution .

Answer:

The answer is 55/3

Step-by-step explanation:

11 should be divided by 3 and 5 should be multiplied later..

Answer:

1 x 10^-12

Step-by-step explanation:

....

Answer:

Negative association

Step-by-step explanation:

The earliest start time for activity w can be determined by taking the maximum of the earliest finish times of its immediate predecessors, which are activities g, p, and r. In this case, the maximum is 15. Therefore, the correct answer is c. is 15.

Step-by-step explanation:

Answer 1

x+x+y+3y+z+2z

2x+4y+3z

Answer 2

2x+4y+3z

( no like terms are there so it cannot be added)

Answer 3

9xyz

last two answers will also be similar as the question because unlike terms cannot be added..

Step-by-step explanation:

we know that,

Now,

rectangle PQRS has it's

breadth = 3

length = 4+b

Then,

area of rectangle PQRS = (4+b) × 3

= 12 + 3b

Hence,

The area of rectangle is 12+3b.

Answer:

Step-by-step explanation:

The answer is D because the parabola is an empty circle and is positive which would mean its greater than 1 and the line has a solid point and is negative which means less than or equal to.

Using the concept of rates, the machine will complete 9 9/64 inches in 8.67 minutes

To determine how long it will take to turn a particular length of iron, we can calculate the rate at which it works and it must be in a definite proportion.

If the lathe moves 3/128 in one revolution.

And the machine completes 45 revolutions in 1 minutes, we can determine how many inches in moves in that minute.

3/128 in = 1 rev

x in = 45

45 * (3/128) = 45 revolutions = 1 minute

1.054 inches in 1 minute.

We can further use this to determine the time it takes to move 9 9/64 inches

1.054 inches = 1 minute

9 9/64 inches = x minute

cross multiply both sides and solve

x = 8.67 minutes

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The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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Answer:

linear slope paragraph

Answer:

the slope is 58

Step-by-step explanation:

hope this helps :)

Answer:

y=-2/6x-4

Step-by-step explanation:

Answer:

Y=-3x+4

Step-by-step explanation:

The formula for the degrees of freedom is as follows: df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.

In testing for differences between the means of two related populations where the variance of the differences is unknown, the degrees of freedom are n1 + n2 - 2.The degrees of freedom are very important in statistics, as they tell you how much you can trust your results. The degrees of freedom are related to sample size and are used in various statistical tests, including t-tests and chi-square tests. In this particular case, we are interested in testing for differences between the means of two related populations where the variance of the differences is unknown.In this case, we use a t-test to compare the means of the two populations. The formula for the t-test is as follows:t = (x1 - x2) / (s / √n)where x1 is the mean of the first population, x2 is the mean of the second population, s is the standard deviation of the differences between the two populations, and n is the sample size.

In order to calculate the t-value, we need to know the degrees of freedom. The formula for the degrees of freedom is as follows:df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.

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Therefore, the angle between the biker's line of sight and the trail is changing at a rate of approximately 0.039 radians per second when she is 25 feet away from the tree.

To solve this problem, we need to use trigonometry and calculus. Let's call the angle between the biker's line of sight and the trail θ, and let's call the distance from the traffic cone to the aspen tree x. Then we can use the tangent function to relate θ and x:

tan(θ) = x/15

We can also use the Pythagorean theorem to relate x and the distance d between the biker and the tree:

d^2 = x^2 + 25^2

Taking the derivative of both sides with respect to time t, we get:

2d (dd/dt) = 2x (dx/dt)

Now we can substitute the equation for x in terms of θ and solve for (dθ/dt):

tan(θ) = x/15

sec^2(θ) (dθ/dt) = (1/15) (dx/dt)

(dθ/dt) = (1/15) (dx/dt) sec^2(θ)

We can use the equation for d to solve for x:

x^2 = d^2 - 25^2

2x (dx/dt) = 2d (dd/dt)

(dx/dt) = (d/dd) (sqrt(d^2 - 25^2)) (dd/dt)

(dx/dt) = (d/ sqrt(d^2 - 25^2)) (dd/dt)

Now we can substitute this expression for (dx/dt) into the previous equation and evaluate it when d = 25 and θ = arctan(15/25):

(dθ/dt) = (1/15) [(d/ sqrt(d^2 - 25^2)) (dd/dt)] sec^2(arctan(15/25))

(dθ/dt) = (1/15) [(25/ sqrt(25^2 - 25^2)) (13)] sec^2(arctan(15/25))

(dθ/dt) = (13/375) sec^2(arctan(15/25))

(dθ/dt) ≈ 0.039 radians per second

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The $30 your friend paid back will go into the checking account, so the balance will increase by that amount. Therefore, your balance will be $17 + $30 = $47.

In the situation given above, the total monthly payments will amount to $104.675, and the total amount of interest to be paid on his loan will be $4,661.

Monthly payments can be referred to or considered as the amount paid each month by a borrower as a part of the repayment towards an amount borrowed at a predetermined rate of interest.

In the above case, the total repayment for 10 years will be $12,561, in which $4,661 is interest charged, and the monthly payments will be,

Monthly Payments = Total Repayment / Period of Repayment

Monthly Payments = 12561 / 120

Monthly Payments = 104.67

Therefore, the significance regarding the monthly payments has been aforementioned.

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Answer:

YD=6.9

Step-by-step explanation:

In an isosceles trapezoid both diagonals have an equal length. Given this, since diagonal AC is equal to 17.2, diagonal BD must be equal to 17.2. Diagonal BD is made up of segments BY and YD, so the lengths of BY and YD must add to equal 17.2. Since BY is 10.3, the equation YD+10.3=17.2 can be used to find the value of YD. To solve this, subtract 10.3 from both sides of the equation to find that YD is equal to 6.9.

Answer:

no real number

Step-by-step explanation:

no square root of neg. num.

if my anwser helps please mark as brainliest.

The best way to describe the location of a sample mean in a sampling distribution would be using the standard error. The standard error is a measure of the variability of the sample mean from sample to sample, and it takes into account both the sample size and the standard deviation of the population.

The sample standard deviation is a measure of the variability within the sample, but it does not provide information about the location of the sample mean in relation to the population mean. The difference between the population mean and the sample mean is a measure of bias, but it does not provide information about the variability of the sample mean.

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Answer:

Step-by-step explanation:

You have two revenue relations and want the price of each adult and child ticket. 150 adult and 100 child tickets sold for $3087.50; 200 adult and 150 child tickets sold for $4287.50.

Each of the revenue relations can be formulated as an equation. If x and y represent the price of each adult and child ticket, respectively, then ...

  150x +100y = 3087.50

  200x +150y = 4287.50

The solution can be found many ways. A graphing calculator (first attachment) shows the solution to be ...

The calculator function that reduces a matrix to row-echelon form can be used on the augmented matrix of coefficients. That, too, gives the solution about as quickly as you can enter the coefficients. This is shown in the second attachment.

Subtracting twice the second equation from 3 times the first will eliminate the y-variable:

  3(150x +100y) -2(200x +150y) = 3(3087.50) -2(4287.50)

  50x = 687.50

  x = 13.75 . . . . . . divide by 50

From the second equation, ...

  y = (4287.50 -200(13.75))/150 = 1537.50/150

  y = 10.25