Which of the following is the simplified form of the expression

answer

c) 2520

Step-by-step explanation:

1st digit 1 of 7

2nd digit 1 of 6

3rd digit 1 of 5

4th digit 1 of 4

5th digit 1 of 3

7*6*5*4*3=2520 combination

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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ANSWER:

A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Explanation:   That is the definition....

Answer:

5 7/12

Step-by-step explanation:

Convert 5.5833333333333

Answer: Value if N=3

Measure of the XY is 39

Measure of XZ is 39

Answer:

The value of N is 3. Legs XY and XZ both measure 39 feet.

Step-by-step explanation:

XY and XZ are opposite angles, so this means that they are in fact congruent due to the Isosceles Triangle theorem.

Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

The line integral of xy dx + x^2 dy around the given rectangle is 0.

To evaluate the line integral ∮C (xy dx + x^2 dy) along the given rectangle C with vertices (0, 0), (5, 0), (5, 1), and (0, 1), we can break it down into four line integrals along each side of the rectangle and sum them up.

Along the bottom side:

Parametrize the line segment from (0, 0) to (5, 0) as r(t) = (t, 0), where t ranges from 0 to 5. The differential element along this line segment is dr = (dt, 0). Substituting these values into the line integral, we get:

∫[0,5] (t*0) dt = 0.

Along the right side:

Parametrize the line segment from (5, 0) to (5, 1) as r(t) = (5, t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, dt). Substituting these values into the line integral, we get:

∫[0,1] (5t0 + 25dt) = ∫[0,1] 25*dt = 25.

Along the top side:

Parametrize the line segment from (5, 1) to (0, 1) as r(t) = (5-t, 1), where t ranges from 0 to 5. The differential element along this line segment is dr = (-dt, 0). Substituting these values into the line integral, we get:

∫[0,5] ((5-t)*0 + (5-t)^2 * 0) dt = 0.

Along the left side:

Parametrize the line segment from (0, 1) to (0, 0) as r(t) = (0, 1-t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, -dt). Substituting these values into the line integral, we get:

∫[0,1] (0*(1-t) + 0) dt = 0.

Summing up all the line integrals, we have:

0 + 25 + 0 + 0 = 25.

Therefore, the line integral of xy dx + x^2 dy around the given rectangle is 25.

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

8 18 16 27

Step-by-step explanation:

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Using the z-distribution, the confidence interval is given by: (11.95, 12.65).

The confidence interval is:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, we have a 90% confidence level, hence\(\alpha = 0.9\), z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.

The other parameters are given as follows:

\(\overline{x} = 12.3, \sigma = 1.5, n = 50\)

Hence the bounds of the interval are:

\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 12.3 - 1.645\frac{1.5}{\sqrt{50}} = 11.95\)

\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 12.3 + 1.645\frac{1.5}{\sqrt{50}} = 12.65\)

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Answer:

6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

percent change = (amount of change)/(original amount) × 100%

... = (73 -60)/60 × 100%

... = 13/60 × 100%

... ≈ 0.216667 × 100%

... ≈ 21.7%

Sarah's speed in the second hour was about 21.7% greater than in the first hour.

The median number of children is 222.

The following frequency table shows the number of children that each member of Parents' Club has:

Number of children Number of members111 333222 222333 111444 000555 111

The median is a statistical value that describes the center of a data set.

The median separates the data set into two equal parts.

Half of the observations lie above the median, and half lie below it.

The median is the midpoint value of a data set.

To determine the median, we first need to arrange the data set in order from smallest to largest.

The data is already sorted, and we can now find the median.

The median is 222 because the cumulative frequency of 222 is 333 + 222 = 555, which is the same as the frequency of the 5th item in the ordered list.

Therefore, the median number of children is 222.

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The inequality that describes the possible number of minutes the choir must practice singing during the remainder of the week is:

85 + m ≥ 175

where m is the number of minutes the choir still needs to practice.

To determine the inequality, I used the information provided in the problem: "A school choir must practice singing for at least 175 minutes each week."

        85 + m ≥ 175,

where m is the number of minutes the choir still needs to practice.

The inequality says that the total number of minutes the choir has practiced so far (85 minutes) plus the number of minutes they still need to practice (m) must be greater than or equal to 175, which is the minimum number of minutes they must practice each week.

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Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.

To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1  \(x_i\)) + 6e, we can expand both sides and compare.

Left-hand side:

∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)

                        = \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e

                        = \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)

Right-hand side:

d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e

Now, let's compare the two sides:

Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e

Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e

Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.

To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:

∑\((i=1 to 6) (5x_3 + i)\)

This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.

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Answer: It is not possible

Step-by-step explanation:

to have a triangle with sides 5 cm, 3 cm and 2 cm. Sum of any two sides of a triangle must be greater than the third side.

3 cm + 2 cm = 5 cm

Line segment FG is shifted 10 units to the right and 7 units down to form segment F'G'. Since the y-coordinate is unchanged, the length of segment F'G' is equal to the length of segment FG, which is 17 units.

A line segment is a part of a line that connects two distinct points, and has finite length. It can be measured in terms of distance.

Coordinates are values that indicate a specific location on a plane or in space, given as ordered pairs or triples of numbers respectively, usually represented as (x, y) or (x, y, z).

According to the given information:

The length of the line segment F'G' can be found using the distance formula, which is:

d = √((x2 - x1)² + (y2 - y1)²)

where (\(X_{1} ,Y_{1}\)) and (\(X_{2} ,Y_{2}\)) are the coordinates of the endpoints of the segment.

For line segment FG, (\(X_{1} ,Y_{1}\)) = (-9,-5) and (\(X_{2} ,Y_{2}\)) = (8,-5). So we have:

d = √((8 - (-9))² + (-5 - (-5))²)

d = √(17² + 0²)

d = √(289)

d = 17

Therefore, the distance between F'G' is also 17 units as the translation does not affect the length of the line segment.

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There is no direct logical connection between the statements. However, we can conclude that if someone is a baby, they cannot manage crocodiles based on statements (a) and (d).

1) Without using quantifiers, we can express the statements as follows:

a) ∃xP(x): There exists an integer x such that P(x) is true.

b) ∀xP(x): For every integer x, P(x) is true.

c) →∃xP(x): If P(x) is true for some integer x, then the implication holds.

d) ¬∀xP(x): It is not true that P(x) is true for every integer x.

e) ∀x((x≠3)→P(x))∨∃x¬P(x): For every integer x, if x is not equal to 3, then P(x) is true, or there exists an integer x for which P(x) is not true.

2) Translating the statements into logical expressions using predicates, quantifiers, and logical connectives:

a) Something is not in the correct place.

∃x ¬P(x)

b) All tools are in the correct place and are in excellent condition.

∀x (P(x) ∧ Q(x))

c) Everything is in the correct place and in excellent condition.

∀x (P(x) ∧ Q(x))

d) Nothing is in the correct place and is in excellent condition.

¬∃x (P(x) ∧ Q(x))

e) One of your tools is not in the correct place, but it is in excellent condition.

∃x (P(x) ∧ ¬Q(x))

3) Expressing the statements using quantifiers, logical connectives, and predicates P(x), Q(x), R(x), and S(x):

a) Babies are illogical.

∀x (P(x) → ¬Q(x))

b) Nobody is despised who can manage a crocodile.

∀x (R(x) → ¬S(x))

c) Illogical persons are despised.

∀x (Q(x) → S(x))

d) Babies cannot manage crocodiles.

∀x (P(x) → ¬R(x))

e) The conclusion (d) does not follow from (a), (b), and (c). There is no direct logical connection between the statements. However, we can conclude that if someone is a baby, they cannot manage crocodiles based on statements (a) and (d).

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Answer:

The line would be verticle or up and down, since the x coordinate is the same it would be up and down

funciton is y=2

The equivalent expression to 3218y = 8√3y is 4√(15) / 15y when y is not equal to zero. Option C is the correct answer.

To find an equivalent expression to 3218y = 8√3y when y is not equal to zero, we can start by dividing both sides of the equation by 8y, giving us:

3218y / 8y = 8√3y / 8y

Simplifying the right-hand side, we get:

3218 / 8 = √3

Squaring both sides, we get:

(3218 / 8)² = 3

Simplifying the left-hand side, we get:

130071.25 = 3

Dividing both sides by 3, we get:

y = 4√(15) / 15

Therefore, the expression that is equivalent to 3218y = 8√3y when y is not equal to zero is an option (C) 4√(15) / 15y. Option (D) 46y is not equivalent to the original expression because it does not involve the square root of 3. Option (A) 12V / 2y² and option (B) 46 are also not equivalent to the original expression because they involve different values and operations than those in the original expression.

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Answer:

2.3=v+0.47v=

We move all terms to the left:

2.3-(v+0.47v)=0

We add all the numbers together, and all the variables

-(+1.47v)+2.3=0

We get rid of parentheses

-1.47v+2.3=0

We move all terms containing v to the left, all other terms to the right

-1.47v=-2.3

v=-2.3/-1.47

v=1+0.83/1.47

Answer:

\(v = 1.564\)

Step-by-step explanation:

\(1v + 0.47v = 2.3\)

\( = > 1.47v = 2.3\)

\( = > v = \frac{2.3}{1.47} = 1.564\)

Answer:

12

Step-by-step explanation:

1 - 1/4 = 3/4 (remaining animals which are cats and ferrets)

1 - 8/9 = 1/9 (means 1/9 of the remaining animals are ferrets)

1/9 x 3/4 = 1/12 (means 1/12 of the animals are ferrets)

1/12 x 144 = 12 ferrets

Answer: x < -3

Step-by-step explanation: even tho if we solve you will get a big number number then you reduce the number to a smaller number

The assumption being made in the calculation is that the two gauges are independent, which is not justified since both gauges are subject to the same potential cause of failure. The probability of 0.0001 is likely too low.

The assumption made in this calculation is about the failure of one gauge is independent of the failure of the other gauge. This assumption is probably not justified in the present case because the two gauges are connected to the same electric cables, and if a fire destroys the cables, both gauges will fail simultaneously.

The probability of 0.0001 is likely to be too low because the assumption of independence is violated, and the probability of both gauges failing simultaneously is likely to be higher than the product of their individual failure probabilities.

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Answer:

y=10x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

y−y1=m(x−x1)  to find the line parallel to y=10x−45

.

Answer:

Step-by-step explanation:

The ESE (estimated standard error) in the bottom of the independent-measure t statistic measures the variability in the sample data used to calculate the t statistic and provides information on the precision of the t statistic.

The t statistic is used to compare the difference between two means from independent groups to determine if the difference is significant or not.

The ESE reflects the degree of uncertainty in the difference between the two sample means and is calculated as the standard deviation of the sampling distribution of the difference between the two sample means. The ESE is an estimate of the standard deviation of the population difference and is used to calculate the t statistic.

The ESE is an important measure because it provides information on the precision of the t statistic, which is used to make inferences about the population difference. If the ESE is large, it means that the sample difference is less precise and the t statistic is less significant. If the ESE is small, it means that the sample difference is more precise and the t statistic is more significant.

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The algorithm is designed to find out whether the child wins or loses in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False.

The algorithm assumes that both players play optimally. The algorithm works by recursively picking balls from the box and checking whether the child or the game owner wins the game.

This is a recursive problem where each player plays optimally. There are two players in the game. The child will pick the balls first and then the game owner takes turns. Both will pick the balls optimally in order to win.

In each turn, k balls can be picked from the box. The winner is the one who picks the last ball. If the child picks the last ball, they win otherwise the game owner wins.

The algorithm is as follows:

Algorithm - Pick Balls

1. Define a recursive function called PickBalls(n). The function takes one parameter as input, which is the number of balls remaining in the box.

2. Check if the number of balls remaining is less than or equal to k. If yes, then return True as the game has ended and the child has won.

3. If the number of balls is greater than k, then pick k balls from the box.

4. If the child picks the last ball, then return True.

5. If the child does not pick the last ball, then the game owner picks the balls recursively.

6. If the game owner picks the last ball, then return False. Otherwise, return True.

Explanation: We are designing a recursive algorithm to find out whether the child will win or lose in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False. We are assuming that both players play optimally. The algorithm works as follows:

If the number of balls remaining in the box is less than or equal to k, then the child can pick all the balls and win the game. Therefore, the function returns True.

If the number of balls remaining in the box is greater than k, then the child picks k balls from the box. If the child picks the last ball, then they win the game. Therefore, the function returns True.

If the child does not pick the last ball, then the game owner picks the balls recursively. If the game owner picks the last ball, then they win the game. Therefore, the function returns False. If the game owner does not pick the last ball, then the child picks again and the process repeats itself. If the child eventually picks the last ball, then they win the game. Therefore, the function returns True.

Conclusion: The algorithm is designed to find out whether the child wins or loses in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False. The algorithm assumes that both players play optimally. The algorithm works by recursively picking balls from the box and checking whether the child or the game owner wins the game.

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