The circumference is 25 ft I have to find what X is for my radius
R= -4x-5

Answer:

There is not enough info for me to answer this.

Answer:

$0.22

Step-by-step explanation:

Ellen has a coupon of 1.55 off a loaf of bread

The regular price of the bread is 4.63, the loaf is cut into 14 slices

Therefore if she uses her coupon the price per slice can be calculated as follows

= 4.63-1.55

= 3.08

3.08/14

= 0.22

Hence the price is $0.22

(c) When x is 2.3, the predicted value is 0.02 less than the actual value first from database (d). When x is 3 and the predicted value is compared to the actual figure from the table, the residual is -1.27.

For instance, rounding these values with two decimal places to one nearest tenth (3.4 + 5.5) would result in an approximate reply of 8.9. The estimated result would be 9, but they might potentially be increased to the next full number (3 + 6). The correct response is 8.91.

(c). Nearly 6.2 Minus 6.18 = 0.02 separates the projected result from the actual value. As a result, there is hardly any change. The residual is thus 0.02

(d). Y Equals 4.47 whenever x = 3 because 2.45 × 3 + 11.82. Since the true value is 3.2 and the anticipated value is 4.47, the differences between the two is 1.27. The residual is thus 1.27.

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The double integral in polar coordinates evaluates to (5/4)∫π0 [(1+cos(θ))^3(1-cos^2(θ))]dθ, which simplifies to (4/3)(2^4 - 1) = 85.33 when evaluated.

We start by evaluating the integral in polar coordinates:

∬ D 5(r^2⋅sin(θ))rdrdθ = ∫π0 ∫1+cos(θ)0 5r^3sin(θ)drdθ

Integrating with respect to r first, we get:

∫π0 ∫1+cos(θ)0 5r^3sin(θ)drdθ = ∫π0 [(5/4)(1+cos(θ))^4sin(θ)]dθ

Using a trigonometric identity, we can simplify this expression:

(5/4)∫π0 [(1+cos(θ))^4sin(θ)]dθ = (5/4)∫π0 [(1+cos(θ))^3(1-cos^2(θ))]dθ

We can then use a substitution u = 1 + cos(θ) to simplify the integral further:

u = 1 + cos(θ), du/dθ = -sin(θ), dθ = -du/sin(θ)

When θ = 0, u = 1 + cos(0) = 2, and when θ = π, u = 1 + cos(π) = 0. Therefore, the limits of integration become:

∫π0 [(1+cos(θ))^3(1-cos^2(θ))]dθ = ∫20 -u^3du = (4/3)(2^4 - 1) = 85.33

Rounding to two decimal places, the answer is approximately 85.33.

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Answer:

c = $666

Step-by-step explanation:

he already paid $306 then pays $60 for 6 months which is $360

so $360 + $306 is $666 which is c

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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We can see here that the area of the yellow region will be  3.9 in² (nearest tenth).

The term "area" refers to a specific extent or region of space. It is a measurement of the two-dimensional space within a defined boundary.

We see a square of  6 inch in side, divided in two semi-circles.

Radius of semi-circle = 3 inch

Area of square = 6 × 6 = 36 in²

Area of semi-circle = π/(r)² = 22/(2 ×7)(3)² = 14.14 in²

Area of two semi-circles = 14.14 + 14.14 = 28.28in²

Thus, area of yellow region = (36 - 28.28)/2 3.86 in²

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The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

See the attachment for step-by-step

Answer:

Angles in a triangle add up to 180 degrees because triangles are have the measure and sizes of quadrilaterals, which have an angle measure of 360 degrees. If you divide 360 degrees by 2, you will get 180 degrees.

Step-by-step explanation:

Hope that helps!

Answer:

Let N equal the number of angles in the polygon

Use the formula:

(N x 180)-360 = the sum of all the angles in the polygon

A triangle has 3 angles so:

(3 x 180)-360=180 degrees

(this formula works for any polygon, regardless of the number of it's angles)

Answer:

x^2(5x-2)

Step-by-step explanation:

The gcf of the whole expression is x^2. You then factor out it from the expression to get x^2(5x-2)

Answer:

Surface Area : find the area of each face and add them together.

Volume : multiplying height, width, and depth.

a) The probability that the bank is empty is approximately 0.0026.

b) the average time the customer spends waiting to be called is approximately -0.25 c) hours the average number of customers in the bank is -1.5 d) the average number of customers waiting to be served is approximately 9.

To answer these questions, we can use the M/M/4 queuing model, where the arrival rate follows a Poisson distribution and the service time follows an exponential distribution. In this case, we have four bank tellers, so the system is an M/M/4 queuing model.

Given information:

Arrival rate (λ) = 12 customers per hour

Service rate (μ) = 1 customer every 15 minutes (or 4 customers per hour)

(a) To calculate the probability that the bank is empty, we need to find the probability of having zero customers in the system. In an M/M/4 queuing model, the probability of having zero customers is given by:

P = (1 - ρ) / (1 + 4ρ + 10ρ² + 20ρ³)

where ρ is the traffic intensity, calculated as ρ = λ / (4 * μ).

ρ = (12 customers/hour) / (4 customers/hour/teller) = 3

Substituting ρ = 3 into the formula, we have:

P = (1 - 3) / (1 + 4 * 3 + 10 * 3² + 20 * 3³) ≈ 0.0026

Therefore, the probability that the bank is empty is approximately 0.0026.

(b) The average time the customer spends waiting to be called is given by Little's Law, which states that the average number of customers in the system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, we want to find W.

L = λ * W

W = L / λ

Since the average number of customers in the system (L) is given by L = ρ / (1 - ρ), we can substitute this into the equation to find W:

W = L / λ = (ρ / (1 - ρ)) / λ

W = (3 / (1 - 3)) / 12 ≈ -0.25

Therefore, the average time the customer spends waiting to be called is approximately -0.25 hours, which is not a meaningful result. It seems there might be an error in the given data.

(c) The average number of customers in the bank (L) can be calculated as:

L = ρ / (1 - ρ) = 3 / (1 - 3) = -1.5

Therefore, the average number of customers in the bank is -1.5, which is not a meaningful result. It further suggests an error in the given data.

(d) The average number of customers waiting to be served can be calculated as:

\(L_q\) = (ρ² / (1 - ρ)) * (4 - ρ)

Substituting ρ = 3, we have:

\(L_q\\\) = (3² / (1 - 3)) * (4 - 3) ≈ 9

Therefore, the average number of customers waiting to be served is approximately 9.

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Answer:

Step-by-step explanation:

8 x 10 to the power of 5

8 x 100000 = ?

800,000

Answer:

C.). (–2,3)

Step-by-step explanation:

This solution is on the graphed line, so it is a solution.

If we substitute values from the other coordinates given, all below the line, the results are false

Answer:

the answer is c plz trust

Step-by-step explanation:

Answer:

He drove 111 miles

If we were given the distance Lan drove last weekend instead off how much gas he used then we would have to find the amount of gas used by lan.

Step-by-step explanation:

Ian's car can go 185 miles on 5 gallons of gas

On 5 gallons of gas lan's car can go 185 miles

Therefore in gallon of gas lan 's car can go

185/5 = 37

So, for 3 gallons of gas lan's car can go

3 × 37 = 111

for 3 gallons of gas lan's car can go 111 miles

If we were given the distance Lan drove last weekend instead off how much gas he used then we would have to find the amount of gas used by lan.

The probability that 0 customers arrive during a 10-minute period is given as follows:

0.0183 = 1.83%.

We are given the mean during a time interval, hence the Poisson distribution is used to obtain the probability in this problem.

The mass probability function for the Poisson distribution is given as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are given as follows:

The standard deviation for the Poisson distribution is the square root of the mean, hence the mean is calculated as follows:

\(\mu = 2^2 = 4\)

Then the probability that 0 customers arrive during a 10-minute period is calculated as follows:

P(X = 0) = e^(-4) = 0.0183 = 1.83%.

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According to the linear programming, the correct explanation for why you cannot invite 30 men and 40 women is that you do not have enough chips and beer for 70 people, as indicated by the given constraints.

The correct answer is (d) You do not have enough chips and beer for 70 people.

In linear programming, constraints are used to represent limitations or restrictions on the decision variables. These constraints define the feasible region, which is the set of all possible solutions that satisfy the given constraints. The feasible region is typically represented graphically as a feasible region or feasible area.

Based on the graph of constraints, there are limitations on the number of men and women that can be invited to the party. Let's say the graph shows that you cannot invite more than a certain number of men and women. In this case, the graph indicates that the total number of people (men and women) cannot exceed a certain limit.

If the graph shows that the maximum number of people allowed is less than or equal to 70, inviting 30 men and 40 women would result in a total of 70 people, which would exceed the maximum limit set by the constraints. This means that inviting 30 men and 40 women would be infeasible and not allowed by the given constraints.

The reason why inviting 30 men and 40 women is not possible can be explained in terms of limited resources or capacity. For example, the constraint may represent the capacity of the venue, indicating that it can only accommodate a certain number of people. Additionally, the constraint may indicate a limited supply of resources such as chips and beer, suggesting that there is not enough quantity available to serve 70 people.

Therefore, the correct explanation for why you cannot invite 30 men and 40 women is that you do not have enough chips and beer for 70 people, as indicated by the given constraints.

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Answer:

The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

From the given figure

∵ The line passes through points (0, 2) and (2, 3)

∴ x1 = 0 and y1 = 2

∴ x2 = 2 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = \(\frac{3-2}{2-0}\) = \(\frac{1}{2}\)

∴ m =  \(\frac{1}{2}\)

→ b is the value of y at x = 0

∵ At x = 0, y =2

∴ b = 2

→ Substitute the value of m and b in the form of the equation above

∵ y =  \(\frac{1}{2}\) x + 2

∴ The equation of the line is y =  \(\frac{1}{2}\) x + 2

∵ The line is dashed

∵ The shaded area is over the line

∴ The sign of inequality is >

→ Replace = in the equation by >

∴ y >  \(\frac{1}{2}\) x + 2

∴ The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

The analysis of the data set with 222 observations on the salaries of university professors and a few explanatory variables will involve the use of inferential Statistics, descriptive statistics, and regression analysis to obtain insights into the data set and its variables.

When analyzing a data set with 222 observations on the salaries of university professors and a few explanatory variables, the variables involved in the data set are as follows:

Response Variable - Salary Explanatory Variables -There are a few explanatory variables involved in the data set such as:

Years of ExperienceGenderDepartmentDegree typeNumber of publicationsThe analysis of the data set should be done through statistical methods to obtain insights into the data set and its variables. The statistical methods involve the use of inferential statistics, descriptive statistics, and regression analysis to obtain information on the data set.The use of descriptive statistics will provide an overview of the data set through the use of measures of central tendency and measures of dispersion. The measures of central tendency include the use of mean, median and mode to describe the center of the data set while the measures of dispersion include the use of range, variance and standard deviation to describe how spread out the data set is.

Inferential statistics will provide insights into the variables in the data set by analyzing a sample from the population of the data set. This will involve the use of hypothesis testing and confidence intervals to obtain information on the variables in the data set.

Regression analysis will help determine the relationship between the response variable and the explanatory variables. In this case, multiple linear regression analysis will be employed to determine the factors that affect the salaries of university professors. This method will involve the use of a regression model to determine the relationship between the response variable and the explanatory variables.

In conclusion, the analysis of the data set with 222 observations on the salaries of university professors and a few explanatory variables will involve the use of inferential statistics, descriptive statistics, and regression analysis to obtain insights into the data set and its variables.

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Answer:

if you want you can keep simplifying

Step-by-step explanation:

Step-by-step explanation:

\(x = - \frac{33}{8} \)

not sure about that

Answer:

The answer would be -2u+w.

Step-by-step explanation:

On PLATO

Find the coordinates on the graph. (-6,1)

Plug and Chug

Answer:

121 pi

Step-by-step explanation:

pi d =22 pi

divide both side by pi to find diameter

d=22

divide by 2 too find radius

11 is the radius

plugg 11 to pi r ²

121 pi

For solving the inequalities, there are more than four steps.

The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to  Subtract the same number from both sides and the third step is to  Multiply both sides by the same positive number, and the fourth step is to  Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.

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