A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $500 and the daily rate for each partner is $1000. The law firm assigned a total of 14 lawyers to the case and was able to charge the $12000 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case, x, and the number partners assigned to the case, y.

To write and evaluate an addition expression to determine Tressa's current score, we need to subtract the number of points she loses from her original score. The original score is 57.9 points and she loses 8.6 points.

So, Tressa's current score can be determined by adding the difference (which is -8.6) to her original score. Therefore, the addition expression to determine Tressa's current score can be written as:

57.9 + (-8.6)

To evaluate this expression, we simply need to add the numbers:

57.9 + (-8.6) = 49.3

Therefore, Tressa's current score is 49.3 points.

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Answer:

When you multiply two negative numbers, is the answer negative or positive? Multiplying two negative numbers always gives positive result. Even more. If numbers are both positive or negative, then resulth is positive, if numbers is one positive and one negative, result is always negative.

Step-by-step explanation:

brainliest?

\(c_0 = 9, c_1 = 2(9^2), c_2 = 3(9^3), c_3 = 4(9^4)\)and \(c_4 = 5(9^5)\). The radius of convergence R is infinity.

To find the coefficients of the power series representation of the function f(x) = 5/(1 - 9x)², we can expand the function using the geometric series formula. The formula states that for |x| < 1, we have:

1/(1 - 9x) = 1 + 9x + (9x)² + (9x)³ + ...

Now, let's differentiate both sides of the equation with respect to x:

d/dx [1/(1 - 9x)] = d/dx [1 + 9x + (9x)² + (9x)³ + ...]

To differentiate the left side, we can use the power rule:

d/dx [1/(1 - 9x)] = (1 - 9x)⁻²

To differentiate the right side, we differentiate each term individually. Since the derivative of x^n with respect to x is nxⁿ⁻¹, the terms with powers of x become:

d/dx [1 + 9x + (9x)² + (9x)³ + ...] = 0 + 9 + 2(9²)x + 3(9³)x² + ...

Equating the derivatives, we have:

(1 - 9x)⁻² = 9 + 2(9²)x + 3(9³)x² + ...

To obtain the coefficients of the power series representation, we compare the terms on both sides of the equation. Since the expression on the right side is already in the desired form, we can read off the coefficients as follows:

\(c_0 = 9\\c_1 = 2(9^2)\\c_2 = 3(9^3)\\c_3 = 4(9^4)\\c_4 = 5(9^5)\)

Now, let's find the radius of convergence R of the series. The radius of convergence can be determined using the ratio test. The ratio test states that if the limit of |\(c_{n+1} / c_n\)| as n approaches infinity is L, then the series converges if L < 1 and diverges if L > 1.

Applying the ratio test to our series, we have:

|\(c_{n+1} / c_n\)| = |[(n+1)(9ⁿ⁺¹)] / [n(9ⁿ)]| = 9((n+1)/n)

Taking the limit as n approaches infinity, we get:

lim(n->∞) |\(c_{n+1}/ c_n\)| = lim(n->∞) 9((n+1)/n) = 9

Since the limit is 9, which is less than 1, the series converges for all values of x within a radius of convergence R. Therefore, the radius of convergence R is infinity (R = ∞).

Therefore,\(c_0 = 9, c_1 = 2(9^2), c_2 = 3(9^3), c_3 = 4(9^4)\)and \(c_4 = 5(9^5)\). The radius of convergence R is infinity.

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Answer:

x = 12

y = -23

Step-by-step explanation:

to solve for this i think we have to do:

   y = -3x + 13

   -

   y = -2x + 1

-----------------------

   0 = -x + 12

-x = -12

x = 12

then i think.... i think you have to substitute to one of the equations

y = -3(12) + 13

y = -36 + 13

y = -23

then to check we substitute  to the second equation

-23 = -2(12) + 1 ?

-23 = -24 + 1?

-23 = -23

The answer is A x^2-3x-1+1/x-1

The expression is x²-3x-1+ 1/ (x-1).

The mathematical procedure for splitting big numbers into several smaller groups or sections is known as long division. The dividend is the number we split into smaller groups, while the divisor is the number by which we divide. A difficulty can be solved by breaking it down into manageable parts.

The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The extra amount that cannot be divided yields the quotient, which is known as the residual.

Given:

x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator=x³ - 4x² + 2x + 2 / x-1

Now, performing the long division method we have

= \(x^2+\frac{-3x^2+2x+2}{x-1}\)

= \(= [x^2-3x+\frac{-x+2}{x-1}\)

= \(= (x^2-3x-1)+ 1/ (x-1)\)

Hence, the simplified division is x²-3x-1+ 1/ (x-1)

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Answer: 3

Step-by-step explanation:

We know that since a translation is a rigid motion, and that rigid motions preserve distance, the length of the transformed segment is the same as the given line segment.

We know that since a translation is a rigid motion, and that rigid motions preserve distance, the length of the transformed segment is the same as the given line segment.

It is given that Line segment PQ, with endpoints graphed on a coordinate grid at P(2,-2) and Q(5,-2) is translated four units to the left and two units up. We need to find length of the transformed line segment.

What is rigid motion?

The shape and size remains constant for an object in rigid motion

Therefore there is no change in the length of the transformed line segment

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In this game, the pure best response equilibria (BNE) are when Anna bids 200 and Brian bids 100, or when Anna bids 100 and Brian bids 200. These equilibria occur because both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

(a) The normal form of the game can be represented in a payoff matrix where the rows represent Anna's strategies (bids) and the columns represent Brian's strategies (bids):

scss

Copy code

            Brian

         |   100   |   200   |

-------------------------------

 100 |  (300, 0) | (300, 0) |

-------------------------------

 200 | (0, 100)  | (0, 200) |

-------------------------------

In each cell, the first number represents Anna's payoff, and the second number represents Brian's payoff.

(b) To find all pure best response equilibria (BNE), we need to examine each player's strategy and determine if they have a best response to the other player's strategy.

For Anna:

If Brian bids 100, Anna's best response is to bid 200, as this guarantees a higher payoff of 300.

If Brian bids 200, Anna's best response is to bid 100, as this guarantees a higher payoff of 300.

For Brian:

If Anna bids 100, Brian's best response is to bid 200, as this guarantees a higher payoff of 0.

If Anna bids 200, Brian's best response is to bid 100, as this guarantees a higher payoff of 0.

Therefore, the pure best response equilibria (BNE) of this game are:

(Anna: 200, Brian: 100)

(Anna: 100, Brian: 200)

In both cases, both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

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Answer:

im pretty sure its undefined

Step-by-step explanation:

I'd say this because i don't believe you can do anything with the info they give you

Answer:

The answer would be (2,3) or you can find the answer in desmos

Step-by-step explanation:

You can input the coordinates in Desmos graphing calculator for the graph

Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. According to the line of best fit equation y = 8x + 15, substituting x = 0 gives y = 8(0) + 15 = 15, indicating that the predicted number of bicyclists is 15. Since 15 is greater than 10, Parimal can expect at least 10 bicyclists on the path.

The line of best fit equation y = 8x + 15 represents the relationship between temperature (x) and the number of bicyclists (y) on the path. In this equation, the coefficient of x is 8, indicating that for every 1-degree increase in temperature, the number of bicyclists is expected to increase by 8.

To determine if Parimal should expect at least 10 bicyclists on the path when the temperature is 0°C, we substitute x = 0 into the equation. This gives y = 8(0) + 15 = 15, which means that the predicted number of bicyclists is 15.

Since 15 is greater than 10, Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. The line of best fit suggests that as the temperature increases, the number of bicyclists also increases. In this case, the model predicts that even at 0°C, there should be a significant number of bicyclists (15 in this case) on the path.

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On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:

5.25inches

Step-by-step explanation:

difference in height = 68.5-63.25 =5.25

Height of Mario Hm = 68.5 inches

Height of Tyler Ht = 63.25 inches

Evidently, Hm > Ht

Now difference = Hm - Ht = 68.5 - 63.25

= 5.25 inches

Answer: Mario is 5.25 inches taller than Tyler.

Time taken to travel from Flacq to Curepipe is :

1 hour 45 minutes = 1 + 0.75 = 1.75 hours

Distance = 91 km

Average speed is equal to :

Average speed = 52 km per hour

The probability that at most 23 tails occurs is 46/52.

Probability is a measure of how likely something is to occur. It is a branch of mathematics that studies the occurrence of random events. The value is between 0 and 1. Mathematics has incorporated probability to forecast the possibility of events happening. The probability of something happening is referred to as its likelihood. The probability distribution is based on this fundamental idea of probability. We must first identify the total number of possibilities in order to calculate the probability that a specific event will occur.

Probability that an event will occur P(E) is the proportion of favourable outcomes to all outcomes.

Now,

Total no. of times coin tossed=26

Total outcomes=26 × 2=52

the probability that at most 23 tails occur=1-probability that 24,25 and 26 tails occured

=1- × \(\frac{25}{52}\) × \(\frac{26}{52}\)

=1-15600/140608

=89/100≈46/52

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It is recommended that a wager of $1,000 be placed on candidate B1 to win the national election so that the potential return can be maximised.

For each candidate, we first compute the probability of each result, and then we multiply that probability by the payout that corresponds to that outcome. This gives us the expected payoff for each candidate. The projected return for candidate A comes to 0.5 times $2,200, which equals $1,100. The estimated reward for candidate B1 is 0.5 times 0.8 times $2,000, which equals $800. In conclusion, the expected payment for selection B2 is half (0.5) times (0.2) times (10,000), which is $1,000.

According to these calculations, the expected return on investment for a wager placed on candidate A is $1,100, but the expected return on investment for a bet placed on candidate B1 is $800 and the expected return for candidate B2 is $1,000. Because we want to make sure that the amount of money we win is as big as possible, we should place our bets on candidate A, who has the potential to win us the most money. As a result, placing a wager of one thousand dollars on candidate B1 to win the national election is recommended.

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Answer:

Step-by-step explanation:

1 inch

Distance covered = Rate × Time= 50 × 0.25= 12.5 miles Therefore, the car will travel 12.5 miles in 15 minutes at an average rate of 50 miles per hour.

To find out how far the car will travel in 15 minutes, we need to convert the time from minutes to hours. Since there are 60 minutes in an hour, 15 minutes is equal to 15/60 = 0.25 hours. Given that the car averages 50 miles per hour, we can now calculate the distance it will travel in 0.25 hours:

Distance = Speed × Time

Distance = 50 miles/hour × 0.25 hours

Distance = 12.5 miles Therefore, the car will travel 12.5 miles in 15 minutes.

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The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

Being out of control on an R-chart indicates that the process variation has shifted. This means that option c is the correct answer.

An R-chart, also known as a range chart, is a type of control chart used to monitor the variability of a process. It measures the range between the maximum and minimum values of a sample.

When a process is in control, the variation observed on the R-chart is considered to be natural and inherent to the system. This means that the process is stable, and any variations are due to common causes that are expected within the normal range.

However, if a point on the R-chart falls outside the control limits or shows a non-random pattern, it indicates that the process variation has shifted. This means that some special cause or factors external to the normal system variation are influencing the process. It suggests that there is a change in the process that is causing it to behave differently.

Therefore, the correct interpretation is option c: "The process variation has shifted." Options a, b, and d are not accurate because they do not reflect the specific meaning of being out of control on an R-chart.

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Answer:

8

Step-by-step explanation:

you solve this by reversing the excercise.

17 + 7 = 24

24/3 = 8

Answer:

8

Step-by-step explanation:

just reverse everything like, 17 +7 then 24/ 3=8

Steps to solve:

151 - 4(32 - 2)

~Distribute

151 - 128 - 8

~Subtract

23 - 8

15

Best of Luck!

Answer:

Okay so x greater then or equal to 7

To plot ask yourself:

Open or Closed Circle:

Open->, <

Closed-Greater then or equal to or less then or equal to

Also ask:

am i ploting to the left or to the right

Step-by-step explanation:

It is going to be a closed circle, since it is greater then or equal too

And you cand use the sign so it is going to go to the left <------ (that way)

You can use the sign to guied you ex: x>5 you are going to the right ---->

Also, for this topic just know if the equation is like this: 3>x

MAKE SURE TO SWICH IT TO THIS:

x<3

YOU HAVE TO SWITCH THE EQUATION AROUND AND THE SIGN

I hope this helped! :D

Answer:

1 9/16 metres

Step-by-step explanation:

h = 25 ( 1/2)^n  where n is the number of bounces

let n = 4 bounces

h = 25 ( 1/2)^4

h = 25 ( 1/16)

h = 25/16

h = 1 9/16 metres

Now we have to,

find the height of the ball after 4 bounces.

→ h = 25 (1/2)^n

→ n is the number of bounces

Then keep n as 4 bounces,

→ 25 (1/2)^n

→ 25 (1/2)^4

→ 25 (1/16)

→ 25/16 m {or} 1 9/16 m

Thus, height of the ball is 25/16 m.

Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.

For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.

Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.

kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.

via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.

All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.

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The coordinates of R' when rotated 90° about their center of rotation is (-6, -3).

Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of objects, and the properties of space.

The point R(3, -6) is located in the fourth quadrant as both the x-coordinate and y-coordinate are positive.

When the sails rotate 90 degrees clockwise, the point R will move to a new location R' in the third quadrant where both the x-coordinate and y-coordinate are negative.

To find the coordinates of R', we need to swap the x-coordinate and y-coordinate of point R and then negate the new x-coordinate.

That is, if R' has coordinates (x, y), then x = -6 and y = -3.

Hence, the coordinates of R' are (-6, -3).

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The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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