a. Set up an expression calculate the area of the region between xy = 4, x = 1 and y = 2 (integrating with respect to x). Simplify the integral completely, and do not evaluate the integral. b. Set up an expression to calculate the area of the region between xy = 4, x = 1 and y = 2 (integrating with respect to y). Simplify the integral completely, and do not evaluate the integral.

Step-by-step explanation:

y+64=180

y=180-64=116°.

y=4x-28 (vertically opposite angle)

116=4x-28

116+28=4x

144=4x

x=36°.

hope this helps you.

The predicted income for working 22 hours on an assembly job  is $450.6 which is determined using the given regression model with intercept and slope values.

The intercept (-242.3) represents the predicted income when the number of working hours is zero, and the slope (31.45) represents the increase in income for each additional hour worked. To find the predicted income for 22 hours of work, we substitute 22 for the number of working hours in the regression model and solve for the predicted income.

Therefore, the predicted income for working 22 hours on an assembly job can be calculated as follows:

Predicted income = Intercept + (Slope x Number of working hours)

Predicted income = -242.3 + (31.45 x 22)

Predicted income = -242.3 + 692.9

Predicted income = 450.6

Thus, the predicted income for working 22 hours on an assembly job is $450.6.

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Answer:

2 1/100

Step-by-step explanation:

First you put the 2 in Then you get the 1/100 and put it next to the 2

Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:

but he also must work fewer than 16 hours this week, then the next inequality is:

then, combining the inequalities, we have:

Answer:

\(651*10^{-8\)

Step-by-step explanation:

Sure hope this helps you

Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

it's the first one it's the f (x) =40x

The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."

The confidence interval represents a range of values within which the

population mean delivery time is likely to fall, based on the sample data.

It does not provide information about the delivery times of individual pizzas

or restaurants.

The confidence level refers to the percentage of times that the true

population mean would be expected to fall within the interval if the same

sampling procedure were repeated many times.

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To solve this problem, we can use the method of Lagrange multipliers. This method allows us to find the maximum or minimum of a function subject to constraints.

In this case, the function we want to maximize is Z = 2x + 3y and the constraints are x = 24, y = 25, and 3x + 2y = 52.We begin by setting up the Lagrangian function, which is given by:L(x, y, λ) = Z - λ(3x + 2y - 52)where λ is the Lagrange multiplier. We then take the partial derivatives of the Lagrangian with respect to x, y, and λ and set them equal to zero.∂L/∂x = 2 - 3λ = 0∂L/∂y = 3 - 2λ = 0∂L/∂λ = 3x + 2y - 52 = 0Solving for λ, we get λ = 2/3 and λ = 3/2. However, only one of these values satisfies all three equations. Substituting λ = 2/3 into the first two equations gives x = 20 and y = 22. Substituting these values into the third equation confirms that they satisfy all three equations. Therefore, the maximum value of Z subject to the given constraints is Z = 2x + 3y = 2(20) + 3(22) = 84.

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The maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.

To maximize the function Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, we will use the method of linear programming.

Let us first graph the equation 3x + 2y = 52.

The intercepts of the equation 3x + 2y = 52 are (0, 26) and (17.33, 0).

Since the feasible region is restricted by x ≤ 24 and y ≤ 25, we get the following graph.

We observe that the feasible region is bounded and consists of four vertices:

A(0, 26), B(8, 20), C(16, 13), and D(24, 0).

Next, we construct a table of values of Z = 2x + 3y for the vertices A, B, C, and D.

We observe that the maximum value of Z is 96, which occurs at the vertex B(8, 20).

Therefore, the maximum value of Z = 2x + 3y, subject to the conditions x ≤ 24, y ≤ 25, and 3x + 2y = 52, is 96.

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x=5 is the required equation of straight line

The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.

According to the given value;

slope of line is Y₂-Y₁/X₂-X₁

hence slope for given line will be

3-(-2)/5-5 =5/0 = ∞

slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant

now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)

Hence,x=5 is the required equation of straight line .

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The ER diagram in Chen's notation for the given facts would include two entities: "Sport" and "Event." The relationship between the entities would be represented as a one-to-many relationship, where each sport can have multiple events, but each event is associated with only one sport.

In Chen's notation, entities are represented as rectangles, and relationships are represented as diamonds connected to the entities with lines. Based on the given facts, we would have two entities: "Sport" and "Event."

The "Sport" entity would have an attribute representing the name of the sport. The "Event" entity would have attributes such as the name of the event, date, location, and any other relevant information.

To represent the relationship between the entities, we would draw a line connecting the "Sport" entity to the "Event" entity with a diamond at the "Event" end. This indicates a one-to-many relationship, where each sport can have multiple events. The relationship line would have a crow's foot notation on the "Event" end, indicating that each event is associated with only one sport.

Overall, the ER diagram in Chen's notation would visually depict the relationship between sports and events, illustrating that each sport can have multiple events, but each event is specific to only one sport.

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The expected TL at 63 Hz is  28 dB and the expected TL at 31 Hz for a 20 mm thick sheet of plywood is 34 dB

a. The expected TL at 63 Hz can be calculated using the Mass Law formula TL = 20 log (Mf/Mi), where Mi and Mf are the initial and final masses, respectively.

Assuming the density of the plywood remains constant, the mass is proportional to the thickness,

so Mi/Mf = 10/20 = 0.5.

Substituting this into the formula, we get TL = 20 log 0.5 = -6 dB. Therefore, the expected TL at 63 Hz is 34 - 6 = 28 dB.

b. Using the same formula, we can find the expected TL at 31 Hz for a 20 mm thick sheet of plywood. Since the thickness has doubled, the mass has also doubled, so Mi/Mf = 1.

Substituting this into the formula, we get

TL = 20 log 1 = 0 dB.

Therefore, the expected TL at 31 Hz for a 20 mm thick sheet of plywood is 34 dB (the same as the TL for the 10 mm thick sheet at 1000 Hz).

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Answer:

3/5=7/8x

=24/35

(you literly put the answer why are u asking this???)

Hope This Helps!!!

Answer:

the answer is table B

Step-by-step explanation:

Answer:

Table B shows a proportional relationship

Explanation:

In a proportional relationship two quantities vary directly with each other.

So,

y ∝ x

y = kx

Where, k is the constant of variation.

The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).

From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..

The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.

Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).

The proportional relationship is defined as

y = 3x

Therefore, 3 is the constant of variation and rate of change.

So, Table B shows a proportional relationship.

Answer:

20%

Step-by-step explanation:

4/5=.80

1-.80=.20

.20=20%

The quadrilateral WXYZ is not a square using the distance formula

From the question, we have the following parameters that can be used in our computation:

W(-1,1),X(3,4),Y(6,0) and Z(2,3)

The lengths of the sides can be calculated using the following distance formula

Length = √[Change in x² + Change in y²]

Using the above as a guide, we have the following:

WX = √[(-1 - 3)² + (1 - 4)²] = 5

XY = √[(3 - 6)² + (4 - 0)²] = 5

YZ = √[(6 - 2)² + (0 - 3)²] = 5

ZW = √[(2 + 1)² + (3 - 1)²] = 13

The sides that are congruent are WX, XY and YZ

This means that WXYZ is not a square

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Answer:

D

Step-by-step explanation:

it cant be A or B becuase +7 × +7 = +49, -7 × -7 = +49. not all numbers will be squared and = -49

so it must be D

Answer:

d

Step-by-step explanation:

y² = - 49 ( take the square root of both sides )

y = ± \(\sqrt{-49}\)

The \(\sqrt{-49}\) is complex, then

no real values will make the equation true

Answer:

AAS

Step-by-step explanation:

Since you already have 2 angles and one side proved, you would use the AAS (Angle Angle Side) Postulate.

Answer:

Selections are shown in the image

Step-by-step explanation:

Relations and Functions

A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.

From the options presented below, we'll mark as functions only those who don't have relations between one element in the input set with more than one element in the output set.

In the first relation, every input element is related to only one output element. The same occurs in the second relation.

Note that in the third relation, the input element -5 is related to 4 and also to -4. Element -3 is also related to two different elements. This is not a function.

The fourth relation has the input element 1 related to two different output elements in the pairs (1,0) and (1,2). Thus, this is not a function either.

The fifth relation is a function. No input element is related to more than one output element.

Summarizing the options to select are shown below.

Answer:

49/100

Step-by-step explanation:

Answer:

Decimal Fraction Percentage

0.49 49/100 49%

Answer:

The factors are 1,2,3,4,6,8, 12 and 24

Answer:

The factors of 24 are:

a. 1

b. 2

c. 3

d. 4

e. 6

f.  8

g. 12

h. 24

Step-by-step explanation:

A factor is a number that when added or multiplied to another number gives a \(GIVEN RESULT.\)

v is approximately 21.56 in this equation Tan(18) = 7/v.

To solve for v in the equation

Tan(18) = 7/v, we need to isolate v on one side of the equation. We can do this by cross-multiplying, which gives us v * Tan(18) = 7.
To solve for v,

we can divide both sides of the equation by Tan(18): v = 7/Tan(18). Using a calculator, we can find the value of Tan(18) to be approximately 0.3249.
Plugging this value into the equation, we get v = 7/0.3249, which simplifies to v = 21.56 (rounded to two decimal places).
Therefore, v is approximately 21.56 in this equation Tan(18) = 7/v.

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Answer:

12

Step-by-step explanation:

Denote by x the number of cones sold or produced.

Denote by C(x) the total cost.

Denote by R(x) the revenue made.

Denote by P(x) the net profit accumulated.

\(C_{T}(x)=C_{fixed}+C_{variable} \: \\ C_{T}(x)=36+0.52x\)

\(R_{T}(x)=selling \: price \: x \\ R_{T}(x)=1.4x\)

\(P(x)=R_{T}(x)-C_{T}(x) \\ P(x)=1.4x-(36 + 0.52x) \\ P(x)=1.4x - 36 - 0.52x \\ P(x)=0.88x - 36\)

If there exists profit, then P(x) has to be positive.

\(P(x) > 0 \\ 0.88x - 36 > 0 \\ 0.88x > 36 \\ x > \frac{36}{0.88} \\ x > 40.90909 \\ x = 41\)

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Answer:

The energy, 'E', increases by a factor of 1000,000,000

Step-by-step explanation:

The given equation relating moment magnitude of an earthquake and the energy (in ergs) released by it obtained from a similar question online is presented as follows; \(M_W = \dfrac{2}{3} \times log_{10} (E) - 10.7\)

Where;

\(M_W\) = The moment magnitude

E = The energy

If \(M_W\) is increased by 6, we have;

Δ\(M_W\) = 6

\(\Delta M_W = M_{W2} - M_{W1} = 6\)

From which we get;

\(\Delta M_W = M_{W2} - M_{W1} = 6 = \dfrac{2}{3} \times log_{10} (E_2) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_1) - 10.7 \right)\)

\(6 = \dfrac{2}{3} \times log_{10} (E_1) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_2) - 10.7 \right) = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right)\)

\(6 = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right) = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)\)

\(6 = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)\)

\(log_{10} \left( \dfrac{E_2}{E_1} \right) = 6 \times \left(\dfrac{3}{2} \right ) = 9\)

Therefore;

\(\dfrac{E_2}{E_1} = 10^9\)

E₂ = E₁ × 10⁹ = 1000,000,000 × E₁

Therefore, when the moment magnitude, \(M_W\), increases by 6, the energy increases by a factor of 1000,000,000

Answer:

200 minutes

Step-by-step explanation:

Given that:

Cellular - Tastic (f) :

Monthly fee = $35

Per minute fee = $0.11

Dirt cheap call (g) :

Monthly fee = $55

Per minute fee = $0.01

How many minutes would you need to use for the cell phones to cost the same

amount?

Let number of minutes for cost to be equal = x

35 + 0.11x = 55 + 0.01x

Collect like terms

0.11x - 0.01x = 55 - 35

0.1x = 20

x = 20/0.1

x = 200

Hence, for cost to be the Same, 200 minutes must be used

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2