Substitute the value for the variable with the number given and solve.

11b - 65 =

Substitute 6 for b

Given:

To simplify:

Solving we get,

Hence, the answer is,

The surface area of the prism shown in the figure is equal to 480 square inches. (Right choice: B)

In this problem we need to determine the surface area of a prism, that is, the sum of the areas of the five faces of the prism. There are three rectangles and two right triangles as faces of the prism, whose area formulas are described below:

Rectangle

A = w · l

Triangle

A = 0.5 · w · l

Where:

Now we proceed to determine the areas of all faces of the prism:

A = (8 in) · (9 in) + 2 · 0.5 · (15 in) · (8 in) + (9 in) · (15 in) + (17 in) · (9 in)

A = 480 in²

The prism shown in the figure has a surface area of 480 square inches.

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The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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Answer:

Try the answer B.

Step-by-step explanation:

Answer: 2.1

Step-by-step explanation:

Calculator

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

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Answer:

Step-by-step explanation:

The mean rainfall for the highland storms is 15.27 millimeters and the mean rainfall for the lowland storms is 12.05 millimeters.

A dot plot is a way of representing the distribution of a dataset. It is made by placing a dot above the axis for each occurrence of a value in the dataset.

It is frequently used to illustrate a large dataset's distribution in a concise manner.

The mean is one of the central tendencies in statistics, and it refers to the sum of a set of values divided by the number of values in the set.

The mean is the most commonly used measure of central tendency since it reflects the entire dataset's general characteristics in a single value.

It's the most commonly used statistic since it's simple to compute and provides valuable insight into the data.

It's computed by adding up all of the values in a dataset and then dividing by the total number of values in the dataset.

To determine the mean rainfall for the highland storms and lowland storms, we simply add up the values and divide by the number of values for each.

Highland storms' mean rainfall = 15.27 millimeters

Lowland storms' mean rainfall = 12.05 millimeters

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The numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively

In a duopoly market with two firms, X and Y, the demand functions and marginal cost for each firm are given. To find the "best responses" for each firm, we need to determine the optimal price for each firm in terms of the rival's price. Subsequently, we can find the Nash equilibrium prices, where both firms play their best responses simultaneously.

For Firm X:

ProfitX = (90 - 3PX + 2PY - 10) * PX

Taking the derivative with respect to PX and setting it equal to zero:

d(ProfitX) / dPX = 90 - 6PX + 2PY - 10 = 0

Simplifying the equation:

6PX = 80 - 2PY

PX = (80 - 2PY) / 6

For Firm Y:

ProfitY = (90 - 3PY + 2PX - 10) * PY

Taking the derivative with respect to PY and setting it equal to zero:

d(ProfitY) / dPY = 90 - 6PY + 2PX - 10 = 0

Simplifying the equation:

6PY = 2PX - 80

PY = (2PX - 80) / 6

These equations represent the best responses for each firm in terms of the rival's price.

To find the numerical values of the Nash equilibrium prices, we need to solve these equations simultaneously. Substituting the expression for PY in terms of PX into the equation for PX, we get:

PX = (80 - 2[(2PX - 80) / 6]) / 6

Simplifying the equation:

PX = (80 - (4PX - 160) / 6) / 6

Multiplying through by 6:

6PX = 480 - 4PX + 160

10PX = 640

PX = 64

Substituting this value of PX into the equation for PY, we get:

PY = (2 * 64 - 80) / 6

PY = 8

Therefore, the numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively.

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In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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The length of the diagonal of the square is approximately 12.7 centimeters, rounded to the nearest tenth.

To find the length of the diagonal of a square when the area is given, we can use the formula for the area of a square:

Area = \(side^2\)

where side is the length of one side of the square. Rearranging the formula to solve for side, we have:

side = √Area

Substituting the given area of 81 square centimeters, we get:

side = √81 = 9 cm

The diagonal of a square can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides. Since a square has four right angles, its diagonal forms a right triangle with two sides of equal length. Therefore, we have:

\(diagonal^2 = side^2 + side^2diagonal^2 = 2(side^2)\)

Substituting the value of side that we found earlier, we get:

\(diagonal^2 = 2(9^2) = 162\)

Taking the square root of both sides, we get:

diagonal = √162 ≈ 12.7 cm

Therefore, the length of the diagonal of the square is approximately 12.7 centimeters, rounded to the nearest tenth.

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The amount Anthony spent on each egg if he spent a total of $23.60 is $3.93 per egg.

Cost of each egg = Total cost of eggs ÷ Number of ostrich eggs

= $23.60 ÷ 6

= 3.933333333333333

Approximately,

Cost of each egg = $3.93

Therefore, the amount Anthony spent on each egg if he spent a total of $23.60 is $3.93 per egg

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Answer:

Step-by-step explanation:

3x+2y = 9. 3x+2y=9. Subtract 2y from both sides. Subtract 2y from both sides.

3x=9-2y. 3x=9−2y. Divide both sides by 3. Divide both sides by 3.

\frac{3x}{3}=\frac{9-2y}{3} 33x​=39−2y​ Dividing by 3 undoes the multiplication by 3. ...

x=\frac{9-2y}{3} x=39−2y​ Divide 9-2y by 3.

The factor is (w-2)(w-12) and the solution of the expression is  w =2 or 12

Given: 2wto power of 2 minus 16w=12w-48.

This expression can be written as 2w² - 16w = 12w-48

2w² - 16w = 12w-48

2w² - 16w-12w = -48

2w² - 28w + 48 = 0

Divide through by 2:

w² - 14w +  24 = 0

w² - 12w-2w +  24 = 0

Factorize:

(w-2)(w-12) = 0

w-2 = 0 or w-12 = 0

w =2 or 12

Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12

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The building is 39.06 yards tall.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Hypotenuse (ramp)= 60 yards

Angle of Elevation = 41°

Using Trigonometry

sin 41= P/H

0.651 = P/60

P= 39.06 yard.

Hence, the height is 39.06 yard.

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Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Answer:

y=-4x-3

Step-by-step explanation:

y=mx+b

y=b=-3 ( y intercept is when x=0, then y=b=-3)

y=-4x-3

The correct answer is 2 rows. To find the number of rows Alyssa plants per hour, we need to determine the number of rows she plants in one hour.

We are told that Alyssa plants 45 rows in 23 of an hour. This means that in 23 parts of an hour, Alyssa is able to plant 45 rows.

To find the rate per hour, we can set up a proportion using the given information: 45 rows / 23 of an hour = x rows / 1 hour

Cross-multiplying, we get: 45 rows * 1 hour = 23 of an hour * x rows

Simplifying, we have: 45 rows = 23 * x rows

Dividing both sides by 23, we find: 45 rows / 23 = x rows

Using a calculator, we can compute the result:

x ≈ 1.9565

So, Alyssa plants approximately 1.9565 rows per hour.

Since we are asked to round to the nearest whole number, we round this value to the nearest whole number: Rounding 1.9565 to the nearest whole number, we get 2. Therefore, Alyssa plants approximately 2 rows per hour.

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Therefore, the indefinite integral of the given function is x^3 + (4/3)x^4 - (4/9)x^(9/2) + C, where C is the constant of integration.

We can begin by simplifying the integrand as follows:

x^2(3 + 4x - 4x^(3/2)) dx

= 3x^2 dx + 4x^3 dx - 4x^(7/2) dx

= x^3 + (4/3)x^4 - (4/9)x^(9/2) + C

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Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Answer:

c. 141 eighth-grade band students

Part B:

y = 3x

1/3y = x

Answer:

im passing this concept trust me the anser is airplane B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6x° and 60° form a right angle and sum to 90° , that is

6x + 60 = 90 ( subtract 60 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5

The probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of their occurrence. It is a measure of the degree of certainty or uncertainty of an event, expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

We can model the number of Hispanics selected as jurors with a binomial distribution, where n=8 is the number of trials (selecting jurors), and \($p=0.44$\) is the probability of success (selecting a Hispanic juror).

The probability of selecting no Hispanic jurors is given by:

\($P(X=0) = \binom{8}{0}(0.44)^0(1-0.44)^8 \approx 0.0496$\)

So the probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

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The probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of their occurrence. It is a measure of the degree of certainty or uncertainty of an event, expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

We can model the number of Hispanics selected as jurors with a binomial distribution, where n=8 is the number of trials (selecting jurors), and \($p=0.44$\) is the probability of success (selecting a Hispanic juror).

The probability of selecting no Hispanic jurors is given by:

\($P(X=0) = \binom{8}{0}(0.44)^0(1-0.44)^8 \approx 0.0496$\)

So the probability of no Hispanic being selected is 0.0496 (rounded to four decimal places).

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Answer:

f = 560

Step-by-step explanation:

reduce the fraction with 3

\(\frac{f}{791}\) = \(\frac{80}{113}\)

simplify the equation using cross-multiplication

113 f = 63280

divide both sides of the equation by 113

f = 560

and your answer is

f = 560

Answer:

the awnser is b

Step-by-step explanation:its b because it x2

The equation models mateo’s movements according to commutative property is (-15) + 4 + (-7) = 4 + (-15) + (-7). So, Option C is correct option.

According to the statement

we have given some data related the dives at the sea level. And we have to find that the which equation models mateo’s movements with the help of the commutative property.

So, For this purpose, we know that the

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer. Here, a and b can be whole numbers, integers, decimals, or even fractions.

And

We are given that he dives down 15 meters, so this will be -15.

Then, he rises up 4 meters, so this is 4.

Then, he goes back down 7 meters, or -7.

So, we have (-15) + 4 + (-7).

And The commutative property states that we order the number in any way we want, and the only choice that works is (-15) + 4 + (-7) = 4 + (-15) + (-7).

So, The equation models mateo’s movements according to commutative property is (-15) + 4 + (-7) = 4 + (-15) + (-7). So, Option C is correct option.

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The value of n in the equation; 3n - 8 = 32 - n will be 10. The value is obtained by rearranging the equation and adding the like term.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

3n - 8 = 32 - n

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

3n - 8 = 32 - n

Rearrange the equation and add the like term as

3n+n=32+8

4n=40

n=10

Thus, the value of n in the equation; 3n - 8 = 32 - n will be 10. The value is obtained by rearranging the equation and adding the like term.

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Answer:

x=3

Step-by-step explanation:

just took this