Solve for x.
2x – 3 + 6x = 21
x = [?]

There are 34,320 ways to choose 3 sofas and 6 ovens from a shipment of 10 sofas and 13 ovens.

To calculate the number of ways to choose 3 sofas and 6 ovens from a shipment of 10 sofas and 13 ovens, we can use the concept of combinations.The number of ways to choose k items from a set of n items is given by the binomial coefficient, also known as "n choose k" and denoted as (nCk).

In this case, we want to choose 3 sofas from a set of 10 sofas, so the number of ways to choose the sofas is (10C3). Similarly, we want to choose 6 ovens from a set of 13 ovens, so the number of ways to choose the ovens is (13C6).

The total number of ways to choose 3 sofas and 6 ovens can be found by multiplying these two quantities together:

Number of ways = (10C3) * (13C6)

Using the formula for binomial coefficients:

(10C3) = 10! / (3! * (10-3)!) = 10! / (3! * 7!)

(13C6) = 13! / (6! * (13-6)!) = 13! / (6! * 7!)

Substituting these values into the equation, we get:

Number of ways = (10! / (3! * 7!)) * (13! / (6! * 7!))

Simplifying further, we have:

Number of ways = (10 * 9 * 8) / (3 * 2 * 1) * (13 * 12 * 11) / (6 * 5 * 4 * 3 * 2 * 1)

Calculating the multiplication:

Number of ways = 120 * 286

Number of ways = 34,320

Therefore, there are 34,320 ways to choose 3 sofas and 6 ovens from a shipment of 10 sofas and 13 ovens.

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\(\large\huge\green{\sf{Given:-}}\)

\(\large\huge\green{\sf{ToFind:-}}\)

➡-2x+5y= -6

➡-2x+5(2)= -6

➡-2x+10= -6

➡-2x= -6-10

➡-2x= -16

➡x= -16/-2

➡x = 8

Answer:

Step-by-step explanation:

Money left Rs. 800

Money spent = 75%

Initial amount was Rs. 3200

Answer:

1. The first factor is 1.267

2. 9 Places

3. i) The decimal point was moved to the left

ii) This indicates the value of the power of 10 in the second factor

4. The second factor is 10⁹

5. The population of India in scientific notation is 1.267 × 10⁹

Step-by-step explanation:

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

length is 15

width is 3

Step-by-step explanation:

3 * 5 is 15

3+3+15+15= 36

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer:

5t is the answer

Answer:

t=0/5

Step-by-step explanation:

8t-3t

5t=0

t=0/5

if this is reight plz mark me brainlists plz and plz

The length vector is 1. So the sketch vector field f is given below. So the option a is correct.

In the given question, the vector field F by drawing a diagram like this figure.

The given vector field F is:

F(x, y) = (yi + xj)/√(x^2 + y^2)

We can write the vector field as:

F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)

Here

F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2

F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)

F(x, y) = (y^2+ x^2)/(x^2 + y^2)

F(x, y) = 1

F(0, y) = y/|y| = ±1

F(x, 0) = x/|x| = ±1

So the length vector is 1.

So the sketch vector field f is given below:

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The complete question is:

Sketch the vector field F by drawing a diagram like this figure.

F(x, y) = (yi + xj)/√(x^2 + y^2)

Answer:

Identifying and moving the base is the key to changing from logarithmic form into exponential form. Identifying the base of the logarithmic equation and moving the base to the other side of the equal sign is how to change a logarithmic equation into and exponential equation.

Example- log 8 base 2=3

then 2^3=8

The opposite of a logarithmic function is an exponential equation, and vice versa

As a general rule, we have the following equation to convert a log function to an exponential.

\(\log_ba = x \to a = b^x\)

Take for instance, we have the following logarithmic function

\(\log_216 = x\)

The equivalent exponential equation is:

\(16 = 2^x\)

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Answer:

.4

Step-by-step explanation: have a good day

Answer:

Step-by-step explanation:

Formula

The formula for perimeter is

P = 2L + 2w

Givens

Let the width = w

Length = 3w + 4

P = 80 cm

Solution

P = 2L + 2w

80 = 2(3w + 4) + 2w          Remove the brackets

80 = 6w + 8 + 2w              Combine

80 = 8w + 8                        Subtract 8 from both sides

80-8 = 8w + 8-8                 Combine

72 = 8w                               Divide both sides by 8

72/8 = 8w'8

9 = w

Answer

w = 9

L = 3*w + 4

L = 3*9 + 4

L = 31

The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y

= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

RS = 46 , RT = 38

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then

RS = 2 × UW = 2 × 23 = 46

RT = 2 × VW = 2 × 19 = 38

Answer:

Step-by-step explanation:

8x+14=2x=50

6X+14=50

6X=36

X=6

2(6)+50

12+50

Angle B equals 62

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

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Answer:

  75

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions of angles in a right triangle, and the sides of that triangle. Here, we need to apply two different trig functions to find the value of x.

__

The altitude of the larger acute triangle is the side adjacent to the 35° angle. The side opposite that angle is shown as 39. The relevant relation is ...

  Tan = Opposite/Adjacent

  tan(35°) = 39/altitude

Solving for altitude, we get ...

  altitude = 39/tan(35°) ≈ 55.698

__

The side marked x is the hypotenuse of the triangle with angle 42°. The side adjacent to that angle is the altitude that we just found. Then the relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(42°) = altitude/x

Solving for x, we get ...

  x = altitude/cos(42°) = (39/tan(35°))/cos(42°)

  x = 39/(tan(35°)cos(42°)) ≈ 74.949

The value of x is about 75.

The required quadratic equation of h(x) is given as h(x) = (x + 1)² + 2. Option C is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The required function that shows the relationship shown in the table can be evaluated just by putting values in the function,
So by putting value in each function this values only satisfied in function,
h(x) = {x + 1}² + 2
As,
h(0) = 3
h(-1) = 2

Thus, the required quadratic equation of h(x) is given as h(x) = (x + 1)² + 2. Option C is correct.

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Answer:

2.3125

Step-by-step explanation:

Answer:

\(2\frac{5}{16}\)

Step-by-step explanation:

\(4\frac{5}{8}=\frac{37}{8}\)

\(\frac{37}{8}:2=\frac{37}{16} = 2\frac{5}{16}\)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

Answer:

7 h

Step-by-step explanation:

nhnh

Answer:

x= 14

y=5

Step-by-step explanation:

AOC and BOD are vertical angles so they are equal

AOC = BOD = 25

MOD = 90

MOD = MOB+ BOD

90 = 3x+23  + 25

Combine like terms

90 = 3x +48

Subtract 48 from each side

90-48 = 3x

42 = 3x

Divide by 3

42/3 = 3x/3

14 =x

We know that 5y+ 3x +23+90 = 180 since AB is a straight line

5y+ 3x +113 = 180

subtract 113 from each side

5y+3x =67

5y+ 3*14 =67

5y +42 = 67

5y = 67-42

5y = 25

Divide by 5

y = 25/5

y =5

Answer:

Step-by-step explanation:

x=14

Answer: the cost price of toy car =450

Step-by-step explanation:

selling price = original price + profit price

selling price = 100% + 20%

selling price = 120%

solve:

120% ↭ 540

1% ↭ 540/120

100% ↭ (540/120)*100

100% ↭ 450

Answer:

cost price = Rs 450

Step-by-step explanation:

selling price = original price + profit price

selling price = 100% + 20%

selling price = 120%

solve:

120% ↭ 540

1% ↭ 540/120

100% ↭ (540/120)*100

100% ↭ 450

Therefore, the cost price is Rs 450

Answer:

I think L = W/2A

Step-by-step explanation:

Answer:

A: \(L=\frac{2A}{W}\)

Step-by-step explanation:

\(A=\frac{LW}{2}\)

\(\frac{LW}{2}=A\)

\(\mathrm{Multiply\:both\:sides\:by\:}2\)

\(\frac{2LW}{2}=2A\)

\(LW=2A\)

\(\mathrm{Divide\:both\:sides\:by\:}W;\quad \:W\ne \:0\)

\(\frac{LW}{W}=\frac{2A}{W};\quad \:W\ne \:0\)

\(Simplify\)

\(L=\frac{2A}{W};\quad \:W\ne \:0\)

Step-by-step explanation:

(g•f(x))

Where ever you see x in g(x), you put f(x)

2(x-7)+1

[expanding]

2x-14+1

2x-13

I'm not 100% sure