Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which ben agreed to pay $215 per month. which of the following statements best gives the reasons that ben’s rent payment is an essential (fixed) expense? a. it cannot be eliminated in a later budget, in order to save money. b. living expenses have a higher priority than any other type of expense. c. the spender controls the amount of the rent by choice of apartment. d. he agreed to pay the same amount every month. please select the best answer from the choices provided a b c d

Answer:

Step-by-step explanation:

its d

Answer:

D. In 2 seconds, the commuter train travels 120 feet.

Answer: x = y + −3/2

Step-by-step explanation:

Let's solve for x.

−3+5y=2x+3y

Step 1: Flip the equation.

2x+3y=5y−3

Step 2: Add -3y to both sides.

2x+3y+−3y=5y−3+−3y

2x=2y−3

Step 3: Divide both sides by 2.

2x/2 = 2y - 3/2

ANSWER: x = y + -3/2

The null hypothesis is that the population mean of working hours is 40 hours per week, while the alternative hypothesis is that the population mean is different from 40 hours per week.

Step 1: State the null and alternative hypotheses

H0: μ = 40

H1: μ ≠ 40

Step 2: Determine the level of significance

α = 0.05

Step 3: Calculate the test statistic

Since the sample size is greater than 30 and the population standard deviation is unknown, we can use a t-test. The test statistic is calculated as follows:

t = (x bar - μ) / (s / √n)

where x bar is the sample mean, μ is the population mean (40 hours), s is the sample standard deviation (3 hours), and n is the sample size (50).

Substituting the values, we get:

t = (42 - 40) / (3 / √50) = 4.64

Step 4: Make a decision and interpret the results

Since the calculated t-value of 4.64 is greater than the critical t-value of 2.009 (calculated using a t-table with 49 degrees of freedom and a significance level of 0.05 for a two-tailed test), we reject the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to suggest that the average number of hours worked by employees per week is different from 40 hours. The company can use this information to make decisions about employee scheduling and workload management.

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The given integral evaluates to ∫∫(2cos(u) + 2sin(u) + v) √(4sin²(u) + v²) du dv over the region R in the uv-plane where 0 ≤ u ≤ π/2 and 0 ≤ v ≤ 1.

The given surface S is defined parametrically by r(u,v) = 2cos(u) i + 2sin(u) j + v k, where (u,v) lie in the rectangular region R: 0 ≤ u ≤ π/2 and 0 ≤ v ≤ 1.

To evaluate the given double integral, we need to transform it into an equivalent double integral in the uv-plane over the region R. The transformation we use is u = x and v = √(4y² - x²), which maps the region R onto the triangle T in the xy-plane with vertices (0,0), (π/2,0), and (0,2), as shown below:

    (0,2)

      |\

      | \

      |   \

      |     \

      |       \

      |         \

      |           \

      |______\

    (0,0)        π/2

The Jacobian of this transformation is |∂(u,v)/∂(x,y)| = √(4y² - x²)/2y, which simplifies to √(4 - x²/4) in polar coordinates.

Substituting x = u and y = v/2, we get the double integral ∫₀^(π/2) ∫₀¹ (2cos(u) + 2sin(u) + v) √(4sin²(u) + v²) dv du, which can be evaluated by first integrating over v and then integrating over u.

The resulting integral can be simplified using trigonometric identities and evaluated using standard calculus techniques.

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Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

1/2 is the probability that the sum of the two recorded numbers will be odd, given that the first recorded number is odd

First, let's find the total number of possible outcomes when the computer makes two selections from the set {12, 13, 15, 17}.

There are four choices for the first selection and four choices for the second selection,

so there are 4 x 4 = 16 possible outcomes.

Now, let's consider the outcomes where the first recorded number is odd.

There are two odd numbers in the set, 13 and 15,

so there are 2 x 4 = 8 outcomes where the first recorded number is odd.

Of these 8 outcomes, we need to count the number of outcomes where the sum of the two recorded numbers is odd.

The sum of two numbers is odd if and only if one number is odd and the other number is even.

There are two even numbers in the set, 12 and 16, so there are 2 x 2 = 4 outcomes where the sum of the two recorded numbers is odd.

Therefore, the probability that the sum of the two recorded numbers will be odd, given that the first recorded number is odd, is: 4/8 = 1/2

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The statement ¹[]-[8] S a holds true for n ≥ 1 by mathematical induction.

The given statement, "¹[]-[8] S a," can be explained using mathematical induction.

For the base case, when n = 1, we can see that ¹[]-[8] S 1 holds true since 1 is equal to 8 - 7. Next, assuming that the statement holds true for an arbitrary value k, we can derive the inequality ¹[] S k + 7.

To prove the statement for k + 1, we show that k + 7 is less than or equal to k + 1. By considering the properties of the numbers involved, we can conclude that ¹[]-[8] S k+1 is true.

Therefore, based on the principles of mathematical induction, we have established that for n ≥ 1, the given statement ¹[]-[8] S a holds true.

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Answer: The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation: this is plato!!!!!!!!

Answer:

The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation:

Answer:

He can invite 11 people and pay the rest for the party

Step-by-step explanation:

6 x 11 is

66 + 60 is 126

Answer:

you just have to do it yourself

The piecewise function that best models her weekly pay h(t) is given by:

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

For this problem, we have that:

Her weekly pay is calculated differently according to the number of hours worked, divided into two cases as follows:

For up to 40 hours, she receives the standard wage of $12, hence:

h(t) = 12t, 0 ≤  t ≤ 40.

For more than 40 hours, she receives $12 x 40 = $480 plus 1.5 x $12 = $18 per hour worked, hence:

h(t) = 480 + 18t.

Hence the piecewise function that best models her weekly pay h(t) is given by the following definition, from the equations that we found prior in this problem:

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Answer:

yo you know you can use the brainly scan &solve

Answer:

240 cm^2

find the scale factor of the length

k=20/6=3.33...

multiply the area of triangle ABC by the scale factor so 72 x 3.333..=240

Answer:

55 miles

Step-by-step explanation:

If you are looking for the unit rate, that means you are looking for the amount of miles in one hour.     miles/hours is how you would solve this equation.  165/3=55 miles in one hour. Hope this helps!

The Unit Rate of 165 miles in 3 hours is 55 miles.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we get,

165 miles in 3 hours

i.e. in 1 hour = 165/3

                    =55miles

If you are looking for the unit rate, that means you are looking for the amount of miles in one hour.    

miles/hours is how you would solve this equation.

165/3=55 miles in one hour.

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Answer:

your going to do super good and get %100

Step-by-step explanation:

Answer:

Did you ace it? %100?

Step-by-step explanation:

Answer:

Wednesday

Step-by-step explanation:

1. First find the position of each variable on the number line.

2. The average temperature is 0 because it is in the center.

3. The answer cannot be Monday because it is above so it is Wednesday.

Answer:

wensday

Step-by-step explanation:

Answer:

x = -15 - y

y = -15 - x

16.43 + 18.64 = 35.07

Hope it helps!

You can find the mean of negative numbers just the same as for positive numbers. It doesn't hurt for the mean to be negative.

For example, with the number -9, -5, -4, -3, -1 you can find the mean jsut as any other numbers

-9+-5+-4+-3+-1=-22

-22/5=-4.4

the mean for those set of numbers is -4.4

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

c. the typical value is greater in set b. the spread is greater in set a

Step-by-step explanation:

The typical value is greater in set A. The spread is greater in set B.

The correct answer is an option (B)

"It is the average value (mean) of the data"

"It is the difference between maximum and minimum value."

For given example,

We can observe that the typical value for set A is between 7 and 8

and the typical value for the set is in between 4 to 5.

So, the typical value is greater in set A

The range of the set A is :

R = 9 - 6

R = 3

The range of the set B:

R = 7 - 0

R = 7

So, the spread is greater in set B.

Therefore, the typical value is greater in set A. The spread is greater in set B.

The correct answer is an option (B)

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Answer:

The Merchant can Use All of His Beans Making 65 Bags Of House Blend , 30 Bags Of special Blend And 45 Bags Of Gourmet Blend .

Step-by-step explanation:

Abbreviation Used ( Colombian Bean = C , Kenyan Bean = K , French Roast Beans = F , House Blend = H , Special Blend = S , Gourmet Blend = G)

Now According to Question, We have 39kg of C , 15kg of K , 36kg of F

300gm in H + 200gm in S + 300gm in G = Total Colombian Beans(39000gm) ↔ Eq. 1

200gm in G + 200gm in S  = Total Kenyan Bean(15000gm) ↔ Eq. 2

300gm in H + 100gm in S + 300 in of G = Total FrenchRoast Beans(36000gm) ↔ Eq. 3

if we add all three Equations we get

600gm in H  + 500gm in S + 800gm in G = C+K+F(90000gm)↔Eq. 4

Now Subtract Eq. 1 - Eq. 3 We Get

100*S=3000

Total bag of Special Blend is 30

Now Put the value of S=30 in above equations(Eq. 1 & Eq. 4)

we get

3H+3G=330↔(eq. 5)  &   6H+8G=750↔(eq. 6)

solve these equation by subtracting (eq. 6 - 2*eq.5)

we get 2G=90  ⇔ Total bag of Gourmet Blend is 45

now By Putting G value in Eq. 6

We Get 6H=390 ⇔ Total bag of House Blend is 65

Answer:

126

Step-by-step explanation:

The ratio of shirts to pants = 3:6. Which also equals 1:2.

Let the pairs of pants = t

Since there are 42 more shirts than pair of pants, shirts = t + 42

Number of pairs of pants is t.

Number of shirts = (t + 42)

The number of the pairs of pants is 42.

The number of shirts is 84.

Total number of clothings is 126.

Step-by-step explanation:

54

=2×27

=54

=27×2

=54

=2,27

Answer:

-x³ + 2x + 7

2x^5+x^4-x³+6x²+3x-3

Step-by-step explanation:

For #10:

(f-g)(x) = f(x) - g(x)

x³-2x+3 - (2x³ + 4x - 4)

-x³ + 2x + 7

For #11:

(f·g)(x) = f(x) * g(x)

(x³+3)(2x²+x-1) = 2x^5+x^4-x³+6x²+3x-3

Answer:

Step-by-step explanation:

The cost to rent the machine is given as ...

  total cost = deposit + ($8 /hour)×(number of hours)

The cost for 5 hours is given ans $115, so we have ...

  115 = deposit + 8(5)

  75 = deposit . . . . . . . . subtract 40

__

The "rate of change" is given as $8 per hour, the hourly rental charge.

The "initial value" is called the deposit. It is found to be $75.

Answer:

point p,q,x and w

Step-by-step explanation:

Answer:

9/11 = 7/9

Step-by-step explanation:

9 are chocolate

27 - 16 = 11

7 are vanilla

20:16

Step-by-step explanation:

9 chocolate

7 vanilla

11 strawberry

9+11=20, 9+7=16

Answer:

c. -24

Step-by-step explanation:

f(3) means the y value where x = 3, therefore f(3) = -24