if f(x)=(3+x)/(x-3), what is f(a+2)?

Answer: laptop: 111

no laptop: 79 , 96

total: 52, 207

Step-by-step explanation: the comma’s i put in my answer stands for each blank but you were basically suppose to add and subtract in that question which is self explanatory

Answer:

960 dollars

Step-by-step explanation:

Your welcome

Answer:

-27

Step-by-step explanation:

Answer:-27

Step-by-step explanation:

To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.

Let's calculate the expected costs for each scenario:

Replacing one pen:

We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.

Expected cost per hour = Σ(Probability * Cost per hour)

Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50

Expected cost per hour = $39.50

Replacing all four pens:

We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.

Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50

Expected cost per hour = $112.50

Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.

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Answer:

Its C

Step-by-step explanation:

C on edge 2021

Answer:

B

Step-by-step explanation:

because i did it and it was right

The value of c is 72.

What is a quadratic equation?

A quadratic equation is a type of polynomial equation that has the form of ax^2 + bx + c = 0, where x is the variable, and a, b, and c are coefficients. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b and c are constants. The solutions of a quadratic equation are given by the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a

The equation x^2-17x+c=0 is a quadratic equation where a=1, b=-17 and c=c

To find c, we can use the difference of the two solutions of the equation, which is 1.

The two solutions of the equation are given by the quadratic formula

x = (-b ± √(b^2-4ac)) / 2a

x = (-(-17) ± √((-17)^2-41c)) / 2*1

x = (17 ± √(289-4c)) / 2

The difference of the two solutions is (17 + √(289-4c))/2 - (17 - √(289-4c))/2 = 1

we can solve for c:

(17 + √(289-4c))/2 - (17 - √(289-4c))/2 = 1

√(289-4c) = 1

289-4c = 1

4c = 288

c = 72

Hence, the value of c is 72.

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The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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Answer:

the average height is between 65 and 72 inches

Step-by-step explanation:

Answer:

5+(-9)=14

Step-by-step explanation:

Answer:

14 and 23

Step-by-step explanation:

To find two arithmetic means between 5 and 23, we need to first find the common difference between consecutive terms.

The common difference (d) between consecutive terms in an arithmetic sequence can be found using the formula:

d = (an - a1) / (n - 1)

where a1 is the first term, an is the last term, and n is the number of terms.

In this case, a1 = 5, an = 23, and n = 3 (since we want to find two means, there will be a total of 4 terms in the sequence). Plugging these values into the formula, we get:

d = (23 - 5) / (3 - 1) = 9

So the common difference between consecutive terms is 9. To find the first mean, we add the common difference to the first term:

First mean = 5 + 9 = 14

To find the second mean, we add the common difference to the first mean:

Second mean = 14 + 9 = 23

Therefore, the two arithmetic means between 5 and 23 are 14 and 23.

To make a prediction of the horizontal distance of a baseball hit at an angle of 35 degrees, we can use the equation of the curve of best fit given as y = -0.16x² + 15x - 45, where x is the angle in degrees and y is the horizontal distance in feet.

Substituting x = 35 in the above equation, we get:

y = -0.16(35)² + 15(35) - 45y = -196 + 525 - 45y = 284

Therefore, the best prediction of the horizontal distance of a baseball hit at an angle of 35 degrees is 284 feet, which corresponds to option O in the table.

It's important to note that this prediction is based on the data provided and the curve of best fit obtained from that data. The accuracy of the prediction depends on the quality and representativeness of the data used to obtain the curve of best fit.

There could be other factors that affect the horizontal distance of a baseball hit, such as wind speed, air resistance, and the force of the hit.

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When x is a uniformly distributed random variable on [0,1], it divides the interval [0,1] into two subintervals: [0,x] and [x,1]. This division exhibits symmetry, as explained in the following paragraphs.

Consider a uniformly distributed random variable x on the interval [0,1]. The probability density function of x is constant within this interval. When x takes a particular value, it acts as a dividing point that splits [0,1] into two subintervals.

The first subinterval, [0,x], represents all the values less than or equal to x. Since x is randomly distributed, any value within [0,1] is equally likely to be chosen. Therefore, the probability of x falling within the subinterval [0,x] is equal to the length of [0,x] divided by the length of [0,1]. This probability is simply x.

By symmetry, the second subinterval, [x,1], represents all the values greater than x. The probability of x falling within the subinterval [x,1] can be calculated as the length of [x,1] divided by the length of [0,1], which is equal to 1 - x.

The symmetry arises because the probability of x falling within [0,x] is the same as the probability of x falling within [x,1]. This symmetry is a consequence of the uniform distribution of x on the interval [0,1].

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Step-by-step explanation:

I answered this already.

Answer:

3x+2x=95

5x=95

X=19

Step-by-step explanation:

it may help you to understand

In this Triangle, ΔUVW, UW is extended through point w to point x

∠ WUV = (3x - 4)°

∠ VWX = (6x + 6)°

∠ UVW = (x + 20)°,  

the value of x is 5

According to the question, given that

∠ WUV = (3x - 4)°

∠ VWX = (6x + 6)°

∠ UVW = (x + 20)°

because ∠ VWX = ∠ WUV + ∠ UVW

             ⇒  (6x + 6) = (3x - 4) + (x + 20)

             ⇒  (6x + 6) = 4x + 16

             ⇒ 2x = 10

             ⇒ x = 5

{The sum of triangle's interior angles is 100°}

{The sum of supplementary angles is 180°}

Therefore, In ΔUVW, UW is extended through point w to point x, then the value of x is 5.

The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.

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Outstanding balance = Invoice amount - CreditInvoice amount = $1,205Credit = $611.25Outstanding balance = $1,205 - $611.25Outstanding balance = $593.75Therefore, Vail's outstanding balance is $593.75.

a. To determine the credit that Vail should receive, we need to use the formula for partial payment: Payment / (1 - Discount%)The calculation for the credit that Vail should receive is:Discount% = 2/10 = 0.2Credit = 489 / (1 - 0.2)Credit = 489 / 0.8Credit = $611.25The credit that Vail should receive is $611.25.b.

To calculate Vail's outstanding balance, we need to subtract the credit from the invoice amount. The calculation is:Outstanding balance = Invoice amount - CreditInvoice amount = $1,205Credit = $611.25Outstanding balance = $1,205 - $611.25Outstanding balance = $593.75Therefore, Vail's outstanding balance is $593.75.

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Answer:

47

Step-by-step explanation:

4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74

47 + 74 = 121 so 47 is the original number.

9514 1404 393

Answer:

 about 7.64 units

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Then the height is ...

  h = V/(πr²) = 1176/(π·7²)

  h ≈ 7.64 . . . . units

Answer:

B. 24 units

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!

Answer:

III

Step-by-step explanation:

you got this, man! good luck [:

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Answer:

380 miles

Step-by-step explanation:

First, find 62% of 1,000:

1,000 • .62 = 620 miles

Next, subtract 620 from 1,000:

1,000 - 620 = 380 miles

The family had traveled 380 miles before Kiran fell asleep

The indefinite integral becomes:

\(\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)\(= \frac{1}{2}x^6 + C_1 + \frac{27}{5}x^5 + C_2 + 21x^4 + C_3 + 16x^3 + C_4 + 21x^2 + C_5 + 6x + C_6\)\)

To evaluate the indefinite integral \(\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)\), we can expand the expression and then integrate each term individually.

Expanding the expression, we get:

\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)

\(= \int (3x^5+15x^4+3x^3+12x^4+60x^3+12x^2+6x^3+30x^2+6x+3x^4+15x^3+3x^2+12x^3+60x^2+12x+6x^2+30x+6) \, dx\)

\(= \int (3x^5+27x^4+84x^3+48x^2+42x+6) \, dx\)

Now, we can integrate each term separately:

\(\int 3x^5 \, dx = \frac{3}{6}x^6 + C_1 = \frac{1}{2}x^6 + C_1\)

\(\int 27x^4 \, dx = \frac{27}{5}x^5 + C_2\)

\(\int 84x^3 \, dx = 21x^4 + C_3\)

\(\int 48x^2 \, dx = 16x^3 + C_4\)

\(\int 42x \, dx = 21x^2 + C_5\)

\(\int 6 \, dx = 6x + C_6\)

Putting it all together, the indefinite integral becomes:

\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)

\(= \frac{1}{2}x^6 + C_1 + \frac{27}{5}x^5 + C_2 + 21x^4 + C_3 + 16x^3 + C_4 + 21x^2 + C_5 + 6x + C_6\)

where \(C_1, C_2, C_3, C_4, C_5, C_6\) are constants of integration.

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Answer:

92

Step-by-step explanation:

46 + 46 = 92

The arrow travels a distance of 2145 meters into the bale of paper after 3 seconds.

The distance an arrow travels into a bale of paper is given by the equation \[ s(t)=2401-(7-t)^{4}, 0 \leq t \leq 7 \]. To find the distance the arrow travels at a specific time, we simply plug in the value of \( t \) into the equation and solve for \( s \).

For example, if we want to find the distance the arrow travels after 3 seconds, we would plug in \( t=3 \) into the equation:
\[ s(3)=2401-(7-3)^{4} \]
\[ s(3)=2401-(4)^{4} \]
\[ s(3)=2401-256 \]
\[ s(3)=2145 \]

Similarly, we can find the distance the arrow travels at any time \( t \) by plugging in the value of \( t \) into the equation and solving for \( s \). This will give us the distance the arrow travels horizontally into the bale of paper at that specific time.

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Answer:

Yes,

Common ratio = 5.

Step-by-step explanation:

If its geometric it will have a common ratio.

5/1 = 5

25/5 = 5

125/25 = 5

So its geometric with commo ratio 5.

a) To find the extreme points and determine if they are minimum or maximum, we need to take the derivative of the function and set it equal to zero.

a) f(x) = x^2 + x - 6

Taking the derivative:

f'(x) = 2x + 1

Setting it equal to zero and solving for x:

2x + 1 = 0

2x = -1

x = -1/2

To determine if it is a minimum or maximum, we can examine the concavity of the function. Since the coefficient of x^2 is positive (1), the function opens upward and the critical point at x = -1/2 is a minimum.

b) f(x) = x^3 + x^2

Taking the derivative:

f'(x) = 3x^2 + 2x

Setting it equal to zero and solving for x:

3x^2 + 2x = 0

x(3x + 2) = 0

This gives two critical points:

x = 0 and x = -2/3

To determine if they are minimum or maximum, we need to examine the concavity of the function. Since the coefficient of x^3 is positive (1), the function opens upward. The critical point at x = 0 is a minimum, while the critical point at x = -2/3 is a maximum.

b) Graphical method:

To solve the problem graphically, we will draw a graph representing the constraints and find the feasible area. Then we will identify the corner point feasible solutions (CPFS) and determine if there is an optimal solution.

a) Maximize subject to:

x1 + x2

2x1 + 5x2 <= 5

x1 + x2 <= 5

3x1 + x2 <= 15

x1, x2 >= 0

b) Minimize subject to:

x1 + x2

-x1 + x2 <= 5

x2 <= 3

3x1 + x2 >= 7

x1, x2 >= 0

Unfortunately, the given optimization problems are incomplete as there are no objective functions specified. Without an objective function, it is not possible to determine an optimal solution or solve the problem graphically.

Please provide the objective function for the optimization problems so that we can proceed with the graphical solution and find the optimal solution, if any.

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a) The extreme point for the function f(x) = x² + x - 6 is a minimum point.

b) The extreme point for the function f(x) = x³ + x² is neither a minimum nor a maximum point.

Step 1: For the function f(x) = x² + x - 6, to find the extreme points, we can take the derivative of the function and set it equal to zero. By solving for x, we can identify the x-coordinate of the extreme point. Taking the second derivative can help determine if it is a minimum or maximum point. In this case, the extreme point is a minimum because the second derivative is positive.

Step 2: For the function f(x) = x³ + x², finding the extreme points follows the same process. However, after taking the derivative and solving for x, we find that there are no critical points. Without any critical points, there are no extreme points, meaning there are no minimum or maximum points for this function.

In summary, for the function f(x) = x² + x - 6, the extreme point is a minimum, while for the function f(x) = x³ + x², there are no extreme points.

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a) The null hypothesis (H0): The population mean completion time under new management is equal to or greater than 14.4 minutes. The alternative hypothesis (Ha): The population mean completion time under new management is less than 14.4 minutes. b) The type of test statistic to use is a one-sample z-test, since the sample size is small and the population standard deviation is known. c) The calculated test statistic is approximately -1.632. d) The p-value is slightly greater than 0.05. e) Based on the p-value being greater than the significance level (0.05), we fail to reject the null hypothesis.

a) The null hypothesis (H0): The population mean completion time under new management is equal to or greater than 14.4 minutes.

The alternative hypothesis (Ha): The population mean completion time under new management is less than 14.4 minutes.

b) Since the sample size is small (n = 12) and the population standard deviation is known, we will use a one-sample z-test.

c) The test statistic for a one-sample z-test is calculated using the formula:

z = (\(\bar x\) - μ) / (σ / √n), where \(\bar x\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values from the problem:

z = (13.8 - 14.4) / (1.8 / √12) ≈ -1.632

d) To find the p-value, we will compare the test statistic to the critical value from the standard normal distribution. At a significance level of 0.05 (α = 0.05), for a one-tailed test, the critical value is -1.645 (approximate).

The p-value is the probability of obtaining a test statistic more extreme than the observed test statistic (-1.632) under the null hypothesis. Since the test statistic is slightly larger than the critical value but still within the critical region, the p-value will be slightly greater than 0.05.

e) Since the p-value (probability) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that we do not have enough evidence to support the claim that the population mean completion time under new management is less than 14.4 minutes at the 0.05 level of significance.

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Therefore , the solution of the given problem of probability comes out to be the experimental likelihood that a reggae CD will be the next one lent out is roughly 0.4615, or 46.15%.

Any considerations technique's main objective is to determine the likelihood event that a claim is true or that a particular incident will happen. Any number from 0 to 1, where 0 traditionally represents a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

Given: 86 Latin CDs were lent out, 16 were rock CDs, 45 were hip-hop CDs, and 126 were reggae CDs.

=> CDs loaned out in total: 86 + 16 + 45 + 126 = 273

=> 126 reggae CDs were lent out.

Number of reggae CDs loaned out relative to the total number of CDs loaned out, experimental likelihood of lending a reggae CD

=> A reggae CD's experimental chance of being lent out  = 126/273.

We may calculate the experimental probability's approximation using a calculator as follows:

=> A reggae CD will be lent out with an experimental probability of 0.4615.

Therefore, the experimental likelihood that a reggae CD will be the next one lent out is roughly 0.4615, or 46.15%.

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Answer:

126/273

Step-by-step explanation:

Given the points A(3,4) and B(-1,10), we can find the distance between them using the following function:

then, we have the following: