4 7 7 Suppose f(x)dx = 8, f(x)dx = - 7, and s [= Solxjex g(x)dx = 6. Evaluate the following integrals. 2 2 2 2 jaseut-on g(x)dx=0 7 (Simplify your answer.)

Answer:

- 7/11 = 0.636363

- 18/25 = -0.72

Answer:

The cost of a sheet metal per square foot is $30

Step-by-step explanation:

Given

Size of Sheet Metal = 8.2ft squared

Used Sheet Metal = 3.5ft squared

Worth of leftover sheet = $141

Equation: \(8.2x - 3.5x = 141\)

Required

Find the cost per square foot of the sheet metal

Solving for x in the above equation will give the cost per square foot of the sheet metal.

\(8.2x - 3.5x = 141\)

\(4.7x = 141\)

Divide both sides by 4.7

\(\frac{4.7x}{4.7} = \frac{141}{4.7}\)

\(x = \frac{141}{4.7}\)

\(x = 30\)

Hence, the cost of a sheet metal per square foot is $30

Answer:

2750

Step-by-step explanation:

Remark

You have to assume that this can be solved by using a proportion. A proportion is 2 equal ratios. Three parts of the 2 ratios must be known and your job is to find the 4th one.

Equation

w*L/C1 = w1*L1 / x

Solution

w = 8

L = 10

w1 = 20

L1  = 25

C1 = 449

C2= x

Solution

8*10/440 = 20*25/x          Combine

80/440 = 500 / x               Cross Multiply

80x = 440*500                  Combine

80x = 220000                  Divide by 80

x = 220000/80

Answer

x = 2750

The height of the rectangular prism  is 4x+2 unit.

What is  rectangular prism?

A rectangular prism's volume is a measurement of the entire interior volume. Consider a rectangular water-filled container. In this instance, the container's capacity is equal to the maximum amount of water it can hold. A polyhedron known as a prism has the same cross-section along its entire length, equal bases, and flat rectangular side faces. Based on the design of their bases, prisms are categorised. A rectangular prism is within the category of three-dimensional shape. The prism has six faces, all of which are rectangles.

Here the given volume of rectangular prism is,

=> V= 4\(x^3+22x^2+10x\) cubic unit

And area of base B = \(x^2+5x\) square unit.

Now volume of rectangular prism

=> V= area of base × height

=> 4\(x^3+22x^2+10x\)  = \(x^2+5x\) × height

=> Height = \(\frac{4x^3+22x^2+19x}{x^2+5x}\)

=> Height = \(\frac{2x(2x^2+11x+5)}{x(x+5)}\)

=>Height = \(\frac{2(2x^2+x+10x+5)}{x+5}\)

=> Height = \(\frac{2(x(2x+1)+5(2x+1))}{x+5}\)

=> Height = \(\frac{2(2x+1)(x+5)}{x+5}\)

=>Height = 2(2x+1)

=> Height = 4x+2 unit .

Hence height of the rectangular prism is 4x+2 unit.

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Answer:

A. The points are collinear and coplanar

At the end of the second year, an amount of approximately ₹ 11,025 will be credited against Sonu's name.

Sonu invested ₹ 10,000 in a business, and she will earn interest at a rate of 5% per annum compounded annually. The problem asks for the amount credited against her name at the end of the second year.

To calculate the amount credited against Sonu's name at the end of the second year, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (₹ 10,000 in this case)

r = Annual interest rate (5% or 0.05 in decimal form)

n = Number of times interest is compounded per year (in this case, once annually)

t = Number of years (2 years in this case)

Plugging in the given values, we have:

A = ₹ 10,000(1 + 0.05/1)^(1 * 2)

Simplifying the calculation, we find:

A = ₹ 10,000(1.05)^2

A ≈ ₹ 11,025

Therefore, at the end of the second year, an amount of approximately ₹ 11,025 will be credited against Sonu's name.

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The solution is Option D.

The value of t > -7 which satisfies the inequality relation is -6

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

The inequality expression is given as t > -7

Now , from the relation we can see that for some value of t , it is greater than the number -7

From the options , we can see that

a)

when t = -9

-9 > -7

The inequality relation is FALSE

b)

when t = -8

-8 > -7

The inequality relation is FALSE

c)

when t = -7

-7 > -7

The inequality relation is FALSE

d)

when t = -6

-6 > -7

The inequality relation is TRUE

Hence , the only inequality relation which satisfies the condition t > -7 is when t = -6

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Answer:

d) -6

Step-by-step explanation:

Given inequality,

→ t > -7

Now the suitable option is,

→ t > -7

→ -6 > -7

(Because -6 is greater than -7)

Hence, option (d) is correct.

The answer of the given question based on the trigonometry is  , the angle measure A = 30° . ,  sin A = ±√[(2 - √3) / 4]  ,  cos A= 1/2

To find sin A and cos A, we need to know the angle measure A. Once we have that information, we can use trigonometric identities to find cos 2A and sin(A/2).

For example, let's say A = 30° degrees.
To find sin A and cos A:
sin 30° = 1/2
cos 30° = √3/2
To find cos 2A:
cos 2A = cos² A - sin² A
= (cos 30°)² - (sin 30°)²
= (√3/2)² - (1/2)²
= 3/4 - 1/4
= 2/4
= 1/2
To find sin(A/2):
sin(A/2) = ±√[(1 - cos A) / 2]
= ±√[(1 - √3/2) / 2]
= ±√[(2 - √3) / 4]

Note that we use the ± sign because sin(A/2) can be positive or negative, depending on the quadrant where A lies.
In summary, given an angle measure A, we can find sin A, cos A, cos 2A, and sin(A/2) using the trigonometric identities and formulas mentioned above.

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The probability that the team wins the match is 1/9.

Here the odds against winning are given to be 8 to 1. It is also said that they lose more than they win.

The above statement indicates that out of every 8 + 1

= 9 matches, the team has a probability of losing 8 matches and winning one match

Probability

= no. of observations for the favorable event / Total number of observations

Here we need to find the probability of winning.

Let A be the event that the team wins the match.

As we can see the total number of observations is 9 matches.

Therefore, n = 9

n(A) = 1

Hence, P(A)

= n(A)/n

= 1/9

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The absolute value equation representing all numbers x whose distance from 5 is equal to 5 units is written as:

|x - 5| = 5

An absolute value equation where the variable is x can be written as:

|x - a| = b

This means that the distance between x and a is equal to b.

So if we want to write an equation where the distance between x and 5 is equal to 5, then we can replace:

a = 5

b = 5

And the absolute value equation will be:

|x - 5| = 5

This is what we wanted to get.

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Step-by-step explanation:

312 × 25 ÷ 100

7800/100 = 78

Now,

312 - 78 = 234

Thus, 234 students eat in the cafeteria

Answer: The answer is x=5

Step-by-step explanation: 2x-3=7

                                                   +3=+3

                                             2x=10

                                              x=5

Answer:

3. B

4. C

Tell me if you need an explanation, I can add it for you :D

The amount of Miranda's total monthly expense is  $970.

Basically, an expense refers to any cost of operations that a company incurs to generate revenue. It also means the cost that one is required to spend on obtaining something.

In a typical firm, the common expenses include a payment to suppliers, employee wages, factory leases, equipment depreciation etc.

in the question context, the expenses are:

Total monthly expenses = $60 + $85 + $195 + $55 + $575

Total monthly expenses = $970.

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Answer:

i think 18

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

The linear relationship of Maggie crocheting squares is y = 6 + 6x graph (b)

Let x be the number of hours Maggie spends crocheting squares, and let y be the total number of squares she has made.

Initially, Maggie has 6 squares made,

so y = 6 when x = 0.

For each hour that she spends crocheting squares, Maggie makes 6 more squares.

Therefore, the relationship between x and y is:

y = 6 + 6x

This is a linear relationship with a slope of 6, which means that Maggie is crocheting squares at a rate of 6 squares per hour.

This is represented by graph (b)

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Let's create a vector F(x, y, z) with at least two variables in its components:

F(x, y, z) = (xy + 2z)i + (yz + 3x)j + (xz + y)k

Now, let's find the gradient, divergence, and curl of this vector:

1. Gradient (∇F):

The gradient of a vector is given by the partial derivatives of its components with respect to each variable. For our vector F(x, y, z), the gradient is:

∇F = (∂F/∂x)i + (∂F/∂y)j + (∂F/∂z)k

Calculating the partial derivatives:

∂F/∂x = yj + zk

∂F/∂y = xi + zk

∂F/∂z = 2i + xj

Therefore, the gradient ∇F is:

∇F = (yj + zk)i + (xi + zk)j + (2i + xj)k

2. Divergence (div F):

The divergence of a vector is the dot product of the gradient with the del operator (∇). For our vector F(x, y, z), the divergence is:

div F = ∇ · F

Calculating the dot product:

div F = (∂F/∂x) + (∂F/∂y) + (∂F/∂z)

Substituting the partial derivatives:

div F = y + x + 2

Therefore, the divergence of F is:

div F = y + x + 2

3. Curl (curl F):

The curl of a vector is given by the cross product of the gradient with the del operator (∇). For our vector F(x, y, z), the curl is:

curl F = ∇ × F

Calculating the cross product:

curl F = (∂F/∂y - ∂F/∂z)i - (∂F/∂x - ∂F/∂z)j + (∂F/∂x - ∂F/∂y)k

Substituting the partial derivatives:

curl F = (z - 3x) i - (z - 2y) j + (y - x) k

Therefore, the curl of F is:

curl F = (z - 3x)i - (z - 2y)j + (y - x)k

That's it! We have calculated the gradient (∇F), divergence (div F), and curl (curl F) of the given vector F(x, y, z) by finding the partial derivatives, performing dot and cross products, and simplifying the results.

Answer:

\(24200 mm^{2}\)

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}

Answer:

285 words

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

It all adds up. Ex; 2*2=4   4-3=1

and continues through the rest of the table

If 32 superscript 2 c baseline = 8 superscript c 7 is the given expression then the value of c is 3.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

The given equation is 32 superscript 2 c baseline = 8 superscript c 7

\(32^{2c} = 8^{c+7}\)

Write the expression in exponents form as

\((2^5)^{2c} = (2^3)^{c+7}\)

\((2)^{10c} = (2)^{3c+21}\)

Comparing the base,

10c = 3c + 21

10c - 3c = 21

7c = 21

c = 21/ 7

c = 3

Therefore, the value of c is 3.

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Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

Answer:

b = 72

Step-by-step explanation:

7/12b - 19 = 23

7/12b = 42

b = 72

Let's Check

7/12(72) - 19 = 23

42 - 19 = 23

23 = 23

So, b = 72 is the correct answer.

Answer:

$ 5,500

Step-by-step explanation:

Simple, 1 kg = 1000 grams, so, 250 grams is a quarter, just divide the $22,000 by 4 = $ 5,500

Answer:

$5,600

Step-by-step explanation:

Answer:

24 Girls

Step-by-step explanation:

3/4 = 18/x

3*x = 18*4

3x=72

3x/3=72/3

x=24

Answer:

Commission = $375

Total earnings = $600

Step-by-step explanation:

He gets 3% of any sale he makes above %5500 which means his commission received on this sale is;

= 3% * $12500

= \(\frac{3}{100} *\) $12500

= 3* 125

= $375

This means his total earnings for the week will be the basic wage plus his commission

$225 + $375

= $600

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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Plotting for different values of (x, f(x)) we get the graph of the function of f(x).

Graphs present information to you as a picture or visual representation. This knowledge is referred to as "data." When you put data into an image, it might appear lean or bulky, lengthy or short. In other words, there are occasions when we have a tonne of data, which calls for several graphs. Sometimes we simply need one graph since we have very little data. Graphs, whether large or tiny, convey a fantastic tale about our data that others can see.

The given function is f(x) = -Ix - 2| - 1.

Substitute different values of x to obtain the value of f(x).

For x = 0:

f(0) = - |0 - 2| - 1

f(0) = - 2 - 1 = -3

The first point can be plotted at (0, -3).

Similarly, plotting for different values we get the graph of the function of f(x).

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