Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.

Since Triangle 2 Is A Right Triangle, Write An Equation Applying The Pythagorean Theorem To The Triangle.

Answers

Answer 1

Answer: a^+b^2=n^2

Step-by-step explanation:

Answer 2

The equation for triangle 2 will be: a² + b² = n².

What is Pythagorean theorem?

Pythagorean theorem states that for a right-angle triangle, the sum of the squares of the base and the height is equal to the square of the hypotenuse of that triangle.

Here, the angle between side: a and side: b is a right-angle.

Therefore, we can consider side: a as the height and side: b as the base of the triangle.

Therefore we can write as per the Pythagorean theorem:

(Base)² + (Height)² = (Hypotenuse)²

Hence, a² + b² = n²

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Related Questions

What is 2 divieded by 9 to the ninth power?

Answers

This is what siri says
What is 2 divieded by 9 to the ninth power?

Market segmentation research is research that is used to help a firm identify

segments in a market, with the end goal of developing different types of pushpins

for the different segments (i. E. , market segmentation).

True

False

Answers

True, the statement wouldn’t make sense to be false

help with any please

help with any please
help with any please
help with any please
help with any please
help with any please

Answers

Answer:

i am so sorry i cant help

Step-by-step explanation:

James rides the train from Center City to Lakeside. The train ride
lasts for 18 minutes. The train arrives at the Lakeside station at
9:12 A.M. What time did the train ride start?

Answers

Answer: 8:54

Step-by-step explanation:

Answer:

8:54 A.M.

Step-by-step explanation:

When you subtract 12 minutes from 9:12 A.M., you get 9 am. Then you still have to subtract 6 more minutes from 9:00 A.M. and you get 8:54 A.M.

Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)

Answers

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Given the definitions of f(x) and g(x) below, find the value of (gof)(-5)
f(x) =
-2x - 13
g(x) =
2x² + 4x + 1

Answers

Answer:g (-5)=2(25)+4(-5)+1

=50-20+1

=

Step-by-step explanation:

5. Marianne has a credit card with a line of credit at $15,000. She made the following purchases:
$1,374.90, $266.21, 39.46, and $903.01. What is Marianne's available credit?

Answers

Answer:

Available credit = $2,416.42

Step-by-step explanation:

$1,374.90

$266.21

39.46

$903.01

Sum = $2,583.58

$2,583.58 was spent. Subtract this from $5,000 to find Marianne's available credit.

$5,000

- $2,583.58

Available credit = $2,416.42

If a company has a dividend yield of 2.5%, a share price of $18 per share, how much will I receive in dividends if I own 10,000 shares? Do not include commas or the dollar sign in your answer.

Answers

In order to determine how much you will reiceive in dividens, you first calculate the price of your shares, which are 10,000 shares.

18(10,000) = 180,000

The cont of your shares are $180,000.

Next, you calculate the 2.5% of the previous cost, just as follow:

(2.5/100)(180000) = 4500

Hence, you will receive 4500 dollars due to the dividens of the price of your shares.

assume the average number of times that a typical american says a word that is considered to be profane is 4 times per day with a standard deviation of 5.6. a sample of 15 students from your university is found to vocalize 3.4 profane words per day. assume that we expect the students at your university to vocalize fewer profane words. conduct directional (left-tailed) hypothesis test to determine if there is a difference between you university's population and the general population. what is the z-observed value for the test?

Answers

The z-observed value for the test of average number of times that a typical american says a word that is considered to be profane is -0.41.

Define the term z-score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from mean are used to measure Z-score.

The formula for calculating the z-score is-

z = (x - μ)/s

in which,

n = sample size (= 15)

μ = mean (= 4)

σ = standard deviation (= 5.6)

s = σ/√n

s = 5.6/√15

s = 1.44

Put the value in z score;

z = (3.4 - 4)/1.44

z = -0.41

Because of how near to zero this test statistic is, we will not be able to rule out the null hypothesis. Seven.

There isn't enough proof to claim that there is a mean difference or that it exists in your circumstance.

Thus, they're basically arguing that we can't rule out the null hypothesis.

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Pleasee help I'm really struggling ​

Pleasee help I'm really struggling

Answers

The cost of Tulip and Roses are 1500LL and 2500LL respectively
Pleasee help I'm really struggling

Find the area of the region bounded by the hyperbola 9x2-4y2=36 and the line x=3.
Begin by solving the equation for y.
Sketch only the right half of the hyperbola.
Use symmetry to evaluate the trigonomic integral.
Draw a reference rectangle.

Answers

First, we will solve the equation of the hyperbola for y:

9x^2 - 4y^2 = 36

4y^2 = 9x^2 - 36

y^2 = (9/4)x^2 - 9

y = ±√((9/4)x^2 - 9)

In math, what is a parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve.

We only need to consider the right half of the hyperbola because of the symmetry,

the line x=3 is the vertical asymptote of the hyperbola, so we need to find the y-coordinates of the hyperbola when x=3

y = ±√((9/4)3^2 - 9)

y = ±√(9/49 - 9)

y = ±√(27 - 9)

y = ±√18

The area of the region is given by the definite integral of y with respect to x between the limits of x = 3 and x = infinity.

∫y dx = ∫√18 dx = 3/2 * √18 * x^(3/2) from 3 to infinity

The area of the region is infinite as the integral is evaluated from x = 3 to infinity.

It's important to note that the method of evaluating the definite integral is not valid in this case as the integral is of an improper kind and it does not converge to a finite value.

It's impossible to draw a reference rectangle for this problem as the area of the region is infinite.

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Convert to a mixed number
23/5

Answers

Answer:

4 3/5

Step-by-step explanation:

Answer:

4 3/5

Step-by-step explanation:

How many 5s are in 23?

4 whole 5s and 3 left over.

23/5 = 4 3/5

2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student i's response was recorded as Yi. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of uy: W1 N 1 N i=1 ΣΥ. . You and your friend each collected half the data. Thus you collected Y1, ..., YN/2 and your friend collected Yn/2+1, ... , Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(Y;) = 0%, i = 1, ...,N/2. then your friends data have the variance, var(Y) = oʻ(1 + 3c), i=N/2+1, ...,N, for some constant c> 0. (d) Your friend is sorry that half the data are not as precise as they could have been, and suggest that you discard the noise data, and simply use hr Na Ex? Y; as your estimator for my. Which estimator is most efficient (has the smallest variance) în or îz? Does your answer depend on c? = N.Σ. (Υ – μ.) - = (e) Suppose now that c = 0 such that var(Y;) = o2 for i = 1, ...,N. You have N = 300 observation and calculate s2 = 20,000,000 and î1 = $48,000. Before collecting the data, your friend argues mean salary, my, is s $50,000, using a 1% significance level. Write down the confidence interval at 1% significance level and decide whether you will accept your friend's

Answers

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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Rachel is 1.55 m tall. Her friend, Pita, is 132 cm tall. Who is taller, and by how much?

Answers

rachel is taller, she is taller by 23 cm

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?

Answers

Answer:

11.8 % empty

Step-by-step explanation:

volume of cylinder : pi × r² × h

attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³

after filling B with everything in A there is still some empty volume in B

Vb empty = Vb - Va = 185.35397... ft³

so,

100% Vb = 1570.79633... ft³

1% Vb = 15.7079633... ft³

so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

a survey of middle school students asked: what is your favorite winter sport? the results are summarized below. using these 545 students as the sample space, a student from this study is randomly selected. if the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?

Answers

The probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.

Given that,

A survey of middle school students asked what is your favorite winter sport so they have given the result in the table we can see.

Below is a summary of the findings. A participant from this study is chosen at random from among these 545 students, who serve as the sample space.

We have to find what is the probability that the chosen student, a grade 8 student, likes skiing over ice skating.

The total 8th grade are 180

The skiing are 171

The ice skating are 163

Probability = 180/(171+163) = 0.5389 = 53.89%

Therefore, the probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.

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a survey of middle school students asked: what is your favorite winter sport? the results are summarized

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-one pi divided by ten ; negative pi divided by ten eleven pi divided by ten ; negative nine divided by ten twenty-one pi div

Answers

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

What is the prime factorization of 73

Answers

Answer:

73 has exactly 2 factors

Step-by-step explanation:

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show that c(n, k) < c(n, k \) if and only if k < (n— 1)/2. (b) use part (a) to deduce that the maximum of c(n, k) for k = 0. 1. n is c(n. (n/2j).

Answers

The statement "c(n, k) < c(n, k ) if and only if k < (n— 1)/2" is proven, and it is used to deduce that the maximum of function c(n, k) for k = 0, 1, ..., n is c(n, n/2).

(a) We have the formula for binomial coefficient as c(n, k) = n!/(k!(n-k)!). Then, we have

c(n, k)/c(n, k+1) = [n!/k!(n-k)!]/[n!/(k+1)!(n-k-1)!]

= (k+1)/(n-k)

Therefore, c(n, k) < c(n, k+1) if and only if (k+1)/(n-k) > 1, which is equivalent to k < (n-1)/2.

(b) Using part (a), we can see that the binomial coefficient is increasing until k reaches (n-1)/2 and decreasing thereafter. Therefore, the maximum of c(n, k) occurs when k = (n/2) or (n/2) - 1, depending on whether n is even or odd. We can write this as c(n, (n/2) + j) where j = 0 for even n and j = 1/2 for odd n.

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The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.

The functions f(x) = x2 2 and g(x) = x2 + 5 are shown on the graph.

Answers

There are two stiff transforms to use:

Vertical movement 7 units to the plus side.reflection along the y = 5 line.

The fact that the real domain is the domain of quadratic functions makes it possible to identify the solution set.

How can rigid transformations be used?

Thus, we must decide which rigid transformations to apply to f(x) in order to produce g(x). Rigid transformations are transformations applied to geometric loci in the field of Euclidean geometry so that Euclidean distances within the latter are conserved (x).

Following thorough consideration, we come to the conclusion that the two stiff transformations listed below must be used:

Vertical translation 7 units to the plus side.

reflection along the y = 5 line.

The collection of x-values necessary for the function to exist is represented by the solution set.  Due to the fact that both functions are quadratic equations, the entire real domain is described by their solutions.

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solve second order differential equation with initial conditions xlnx y = y
y(e) = 0
y'(e) = solve 2nd order linear equation
yn - y + 5y 10e

Answers

To solve the second-order differential equation xln(x)y'' - y' + 5y = 10e, we will use the method of undetermined coefficients. First, we assume a particular solution of the form y_p = Ae^x. By substituting this solution into the differential equation, we find that A = 10/5 = 2.

Next, we need to find the complementary solution by solving the associated homogeneous equation. The characteristic equation is xln(x)r^2 - r + 5 = 0, which does not have simple roots. Therefore, we cannot express the complementary solution in terms of elementary functions.

The general solution is given by y(x) = y_c(x) + y_p(x), where y_c(x) represents the complementary solution and y_p(x) is the particular solution. The initial conditions y(e) = 0 and y'(e) = 2 allow us to determine the values of the constants in the complementary solution. However, since we cannot express the complementary solution in elementary functions, we cannot explicitly calculate y(e) and y'(e).

In summary, the solution to the given second-order differential equation cannot be fully determined without numerical approximation or additional information.To solve the second-order differential equation xln(x)y'' - y' + 5y = 10e, we will use the method of undetermined coefficients. First, we assume a particular solution of the form y_p = Ae^x. By substituting this solution into the differential equation, we find that A = 10/5 = 2.

Next, we need to find the complementary solution by solving the associated homogeneous equation. The characteristic equation is xln(x)r^2 - r + 5 = 0, which does not have simple roots. Therefore, we cannot express the complementary solution in terms of elementary functions.

The general solution is given by y(x) = y_c(x) + y_p(x), where y_c(x) represents the complementary solution and y_p(x) is the particular solution. The initial conditions y(e) = 0 and y'(e) = 2 allow us to determine the values of the constants in the complementary solution. However, since we cannot express the complementary solution in elementary functions, we cannot explicitly calculate y(e) and y'(e).

In summary, the solution to the given second-order differential equation cannot be fully determined without numerical approximation or additional information.

e ohio lottery has a game called pick 4 where a player pays $1 and picks a four-digit number. if the four numbers come up in the order you picked, then you win $3900. a) write the probability distribution for a player's winnings. fill in the table below. for the computer to grade this one correctly make sure that your x values are from smallest to largest.

Answers

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.


To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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Let L = {a(^i)bbw|w ∈ {a, b} ∗ and the length of w is i}.
(a) Give two strings that are in L.
(b)Give two strings over the same alphabet that are not in
L.
(c)Give the state diagram for a determin

Answers

(a) Strings in L: "abb", "aabbb". (b) Strings not in L: "aabb", "bb".

(c) State diagram for a deterministic Turing Machine with 10 states is given below.

(a) Two strings that are in L are:

1. `abb` (Here, i = 0, and w is an empty string).

2. `aabbb` (Here, i = 2, and w = "aa").

(b) Two strings over the same alphabet that are not in L are:

1. `aabb` (Here, the length of w is 2, but there are more than two 'a's before the 'bb').

2. `bb` (Here, the length of w is 0, but there are 'b's before the 'bb', violating the condition).

(c) Here is the state diagram for a deterministic Turing Machine with 10 states that decides L:

```START --> A --> B --> C --> D --> E --> F --> G --> H --> ACCEPT

  a      b      b      a      a      b      b      a      b

  |      |      |      |      |      |      |      |      |

  v      v      v      v      v      v      v      v      v

REJECT  REJECT REJECT  A      E      F      REJECT REJECT REJECT

  |      |      |      |      |      |      |      |      |

  v      v      v      v      v      v      v      v      v

REJECT  REJECT REJECT  REJECT REJECT REJECT  G      H      REJECT

  |      |      |      |      |      |      |      |      |

  v      v      v      v      v      v      v      v      v

REJECT  REJECT REJECT  REJECT REJECT REJECT REJECT REJECT REJECT```

In this state diagram, the machine starts at the START state and reads input symbols 'a' or 'b'. It transitions through states A, B, C, D, E, F, G, and H depending on the input symbols.

If the machine reaches the ACCEPT state, it accepts the input, and if it reaches any of the REJECT states, it rejects the input. The machine accepts inputs of the form `a^i b^bw` where the length of w is i.

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The complete question is:

Let L = {a(^i)bbw|w ∈ {a, b} ∗ and the length of w is i}.

(a) Give two strings that are in L.

(b)Give two strings over the same alphabet that are not in L.

(c)Give the state diagram for a deterministic Turing Machine that decides L. To receive full credit, your Turing Machine shall have no more than 10 states.


The diagram shows a simple bridge, which is supported by four steel cables.
A. Find the angles at A and B
B. Find the length of each cable

The diagram shows a simple bridge, which is supported by four steel cables.A. Find the angles at A and

Answers

(a)

In the given diagram,

∠α and ∠β can be determined using trigonometric functions,

tan α = Opposite side/Adjacent side

⇒ tan α = 4/6

⇒ tan α = 2/3

⇒ α = tan^-1 (2/3)

α = 33.7°

Similarly,

tan (α + β) = 4+4/6

⇒ tan (α + β) = 8/6

⇒ tan (α + β) = 4/3

(α + β) = tan^-1 (4/3) = 53.1°

⇒ 33.7 + β = 53.1°

β = 19.4°

(b)

For the cables adjacent to the perpendicular height, i.e., adjacent to ∠α, on both the sides

Cable length^2 = 4^2 + 6^2 .............................. (Pythagoras theorem)

⇒ Cable length^2 = 16 + 36

⇒ Cable length^2 = 52

⇒ Cable length = 7.21 m

For the cables far from the perpendicular, on both the sides,

Cable length^2 = 6^2 + 8^2 .............................. (Pythagoras theorem)

⇒ Cable length^2 = 36 + 64

⇒ Cable length^2 = 100

⇒ Cable length = 10 m

What is Trigonometric Function?The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. The main division of trigonometric functions is into sine, cosine, and tangent angles. Additionally, the three fundamental functions can be used to derive the cotangent, secant, and cosecant functions. Basically, compared to the fundamental trigonometric functions, the other three functions are frequently used. The lengths of the adjacent and opposing sides are compared to determine the tangent function.

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5) Find the value of x in the triangle below. Round your answer to the nearest tenth if necessary.

5) Find the value of x in the triangle below. Round your answer to the nearest tenth if necessary.

Answers

The value of x in this triangle is approximately 5.83.

We can use the Pythagorean theorem to find the value of x.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this triangle, the hypotenuse is x, and the other two sides have lengths 3 and 5. So we have:

x² = 3² + 5²

x² = 9 + 25

x² = 34

Taking the square root of both sides, we get:

x = √34

So, the value of x in this triangle is approximately 5.83.

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solve the problem with simplex method , and verify using graphical method
4) Min Z = -2X1 - 4X2 - 3X3
St. X1 + 3X2 + 2X3 <= 30 X1 + X2 + X3 <= 24
3X1 + 5X2 + 3X3 <= 60
Xi >= 0

Answers

The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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cards and 20% with debit cards. The transaction fees charged by the credit and debit card issuers are as follows: Credit cards: $0.50 per transaction +2% of the amount charged Debit cards: $0.30 per transaction +1% of the amount charged Read the Requirement 1. How much of the total sales revenue is expected to be paid in cash? The total sales revenue expected to be paid in cash is Requirement 2. How many customer transactions does the company expect in January? In January, the number of transactions the company expects is Requirement 3 . How much of the total sales revenue is expected to be paid with credit cards? The total sales revenue expected to be paid with credit cards is Requirement 4. How many customer transactions will be paid for by customers using credit cards? The number of customer transactions paid for using credit cards is Requirement 5. When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees? In January, the restaurant should expect to incur transaction fees of Requirement 6 . How much of the total sales revenue is expected to be paid with debit cards? The total sales revenue expected to be paid with debit cards is Requirement 7. How many customer transactions will be paid for by customers using debit cards? The number of customer transactions paid for by customers using debit cards is Requirement 8 . When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees? In January, the restaurant should expect to incur debit card transaction fees of the funds on the same day the transactions occur at the restaurant (there is no processing delay). The amount that will be deposited in the restaurant's bank account during the month of January related to credit and debit card sales is Requirement 10. What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales? Again assume the credit and debit card issuers deposit the funds on the same day that the transaction occurs. The amount that will be deposited in the restaurant's bank account during the month of January from cash, credit card, and and debit card sales is

Answers

The total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

Cash sales: 40%

Credit card sales: 40%

Debit card sales: 20%

Requirement 1: How much of the total sales revenue is expected to be paid in cash?

Assuming the total sales revenue for January is $X, the amount expected to be paid in cash is 40% of X.

Cash sales = 0.4 × X

Requirement 2: How many customer transactions does the company expect in January?

The number of customer transactions can vary, and the information provided doesn't specify a particular value. You would need to have additional data or assumptions to determine the number of transactions.

Requirement 3: How much of the total sales revenue is expected to be paid with credit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with credit cards is 40% of X.

Credit card sales = 0.4 × X

Requirement 4: How many customer transactions will be paid for by customers using credit cards?

Similar to Requirement 2, the number of customer transactions paid for by credit cards would require additional data or assumptions to determine.

Requirement 5: When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees?

To calculate the credit card transaction fees, we need to consider two components: a fixed fee per transaction and a percentage fee based on the amount charged.

Assuming the number of credit card transactions is Y, and the average amount charged per transaction is Z, the credit card transaction fees can be calculated as:

Credit card transaction fees = (0.50 × Y) + (0.02 × Z × Y)

Requirement 6: How much of the total sales revenue is expected to be paid with debit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with debit cards is 20% of X.

Debit card sales = 0.2 × X

Requirement 7: How many customer transactions will be paid for by customers using debit cards?

Similar to Requirement 2 and Requirement 4, the number of customer transactions paid for by debit cards would require additional data or assumptions to determine.

Requirement 8: When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees?

Similar to Requirement 5, the debit card transaction fees can be calculated using the same formula but with different values for the fixed fee per transaction and the percentage fee based on the amount charged.

Requirement 10: What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales?

Assuming the total sales revenue for January is $X, the total amount expected to be deposited in the bank account is the sum of cash sales, credit card sales, and debit card sales.

Total deposits = Cash sales + Credit card sales + Debit card sales

= 0.4 × X + 0.4 × X + 0.2 × X

= X

Therefore, the total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

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An object is moving at a speed of 2 centimeters ever 7 seconds. express this speed in meters per week.

Answers

The speed of the object is 12121 m per week.

What does it mean to do speed?

“Speed” is a street name for various stimulant drugs that teens, young adults and others use to feel more alert and focused, and in some cases, to feel high. Some people also use various forms of speed to reduce their appetite. Types of speed include: Amphetamines (used to treat ADHD, narcolepsy, and depression)

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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You are buying a coat that costs $71.95. There is a sale today and that coat is marked 35% off. You are also buying a hat for $12 and mittens for $6.50. All of these items will be taxed at 7.25%. What is the total?

WILL MARK BRAINLIEST

Answers

Answer:

$70.00

Step-by-step explanation:

Sale price of the coat:

71.95 - 35% = 71.95*0.65 = 46.77

Total of three items:

46.77 + 12 + 6.50 = 65.27

Add tax to get the total:

65.27 + 7.25% = 65.27*1.0725 = 70.00

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Someone answer this?

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Answer:

lawsuits

Step-by-step explanation:

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