Which of the following forms of organization is a separate legal entity?

Answer:

B) Smartphones

Step-by-step explanation:

In order to answer this question we need to find the total revenue for the laptops and smartphones.

Let's start with the laptops.

Given:

To find the total revenue of all these laptops we need to multiply 200 by 499.

\((200) *(499) = 99,800\)

Therefore, the total revenue of the laptops alone is $99,800.

Now, let's do the smartphones.

Given:

To find the total revenue of all these smartphones we need to multiply 350 by 399.

\((350) * (399) = 139,650\)

Therefore, the total revenue of the smartphones alone is $139,650.

Comparing the two revenues we see that the smartphones generate more sales in dollars.

Hope this helps!

- Kay

The second differences for the relation is -2 which is option A.

To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.

First, let's calculate the first differences:

-9 - (-4) = -5

-4 - (-1) = -3

-1 - 0 = -1

0 - (-1) = 1

-1 - (-4) = 3

-4 - (-9) = 5

Now, let's calculate the second differences:

-5 - (-3) = -2

-3 - (-1) = -2

-1 - 1 = -2

1 - 3 = -2

3 - 5 = -2

The second differences for the given relation are all -2.

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The volume of the described solid is V = 16r³/3

Given,

A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)

Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^b_a {A(x)} \, dx\)

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = ₋\(\int\limits^r_r {A(x)} \, dx\)

Substitute A(x) from (1)

V = ₋\(\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx\)

⇒V = 4[r²x - x³/3 ]

⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

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According to the given line segment inofrmation, length of GH is a + 2b units.

What is line segment?

A line segment is a part of a line that is bounded by two distinct endpoints. It is a finite length portion of a straight line that extends from one point to another point, and it is named using its endpoints.

Given that AB is perpendicular to line segment [CF, FH, DH, GH]. Let's call the point of intersection of AB and CF as point P.

Now, we can see that triangle CFP and triangle ABP are similar triangles, since angle P is common and both triangles have a right angle at P. So we can write:

CF / AB = FP / BP

Since AB is perpendicular to CF, we know that AB and CF are opposite sides of a rectangle, so CF = AB. Also, since FP = EF (as both are perpendicular to AB), we can rewrite the above equation as:

AB / AB = EF / BP

which simplifies to:

1 = EF / BP

Therefore, we can conclude that BP = EF.

Now, let's consider the line segment [CF, FH, DH, GH]. We know that CF = AB and FH = DH (since they are opposite sides of the rectangle). Therefore, we can write:

GH = CF + FH + DH

= AB + DH + DH

= AB + 2DH

Let's call the length of DH as b. Then, we can write:

GH = AB + 2b

We were given that EF = a, so we can substitute that in for AB to get:

GH = a + 2b

This means that the length of GH is a + 2b units, which corresponds to the choice (a + b) in the given options.

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Complete question:

AB is perpendicular to line segment [CF, FH, DH, GH] . If the length of EF is a units, then the length of GH is [a, b, a+b, a-b] units.

Answer:

8.06

Step-by-step explanation:

3.5^2 + 2^2 = 16.25

sqrt(16.25) = 4.03112887

2 * 4.03112887 = 8.06225774

8.06

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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The Isosceles triangle length of a² will be equal to (32 - 16√2).

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

A triangle that has at least two sides of equal length is said to be isosceles. Sometimes it is stated to have exactly two sides that are the same length, while other times it is stated to have at least two sides that are the same length, with the latter version mentioning the equilateral triangle as an exception.

It is given that in an isosceles triangle abc has a=π/4 and b=c=4. Then the value of a² will be calculated as below:-

Using the cosine formula to calculate the value of a².

a² = b² + c² -2bc cosФ

a² = 16 + 16 - 2(4)(4)cos(π/4)

a² = 32 - ( 32 x {√2/2})

a² = 32 - 16√2

Therefore, the length of a² will be equal to (32 - 16√2).

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Answer:

4^2(2-root2)

Step-by-step explanation:

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:He pays £530 in total.

Step-by-step explanation:

The result of derivative by evaluating the integral and differentiating is 2sinx.

The function itself is the derivative of a function's integral. But only in the case of indefinite integrals is this always the case. Only when the lower limit of the integral is a constant and the higher limit is the variable we are differentiating with, is the derivative of a defined integral of a function the function itself.

The function itself is the derivative of an indefinite integral of a function. Specifically, d/dx f(x) dx = f (x)

d/dx ∫x -x (sin t) dt

⇒ d/dx [- cos t] x -x

⇒ - d/dx [cos x - cos (-x)]

⇒ - d/dx [ 2 cos x]

⇒ -2 d/dx [cos x]

⇒ -2 [- sin x]

⇒ 2 sin x

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

a. The probability that a student scored below 91 on this exam is 0.9878

b. The probability that a student scored between 65 and 89 is 0.8186.

c. A grade of 68 on the second exam is better than a grade of 81 on the first exam for the given conditions

a. To find the probability that a student scored below 91 on the exam, we need to find the area under the normal distribution curve to the left of 91. Using a standard normal distribution table or calculator, we can find the corresponding Z-score as:

Z = (91 - 73) / 8 = 2.25

The probability of scoring below 91 is then the same as the probability of a standard normal random variable being less than 2.25, which is approximately 0.9878.

b. To find the probability that a student scored between 65 and 89, we need to find the area under the normal distribution curve between these two values. Using the Z-score formula as above, we find:

Z1 = (65 - 73) / 8 = -1.00

Z2 = (89 - 73) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.00 and 2.00, which is approximately 0.8186.

c. To determine if a grade of 81 on this exam or a grade of 68 on a different exam is better if the professor grades on a curve, we need to find the Z-score that corresponds to the top 10% of the class. Using a standard normal distribution table or calculator, we can find this Z-score as:

Z = 1.28 (approximately)

For the first exam, the Z-score corresponding to a grade of 81 is:

Z = (81 - 73) / 8 = 1.00

Since 1.00 < 1.28, a grade of 81 is not in the top 10% of the class. For the second exam, the Z-score corresponding to a grade of 68 is:

Z = (68 - 62) / 3 = 2.00

Since 2.00 > 1.28, a grade of 68 is in the top 10% of the class. Therefore, if the professor grades on a curve, a grade of 68 on the second exam is better than a grade of 81 on the first exam.

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Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

Answer:

Step-by-step explanation:

-2(4-3x)+(5x-2)

-8+6x+5x-2

11x-10

Answer:

Its Smaller by 100, because 0.001 times 100 = 0.1

Step-by-step explanation:

Answer:

I believe the answer is 1000.099

Step-by-step explanation:

I believe all you need to do is subtract 1,000.1 - 0.001 which equals 1000.099.

Differences in acquired data depending on whether data was captured during live or static acquisition include ;

One very major difference is the volatility of the gathered information, as data gathered through live acquisition changes in real time as they aren't write - protected while those gathered when system is turned off are very less likely to change

Live data are usually gathered from system registry or computer RAM through the actual system interface in real time. While static data could be acquired form storage devices such as drives, hard disks and so on.

Similary, real time acquisition of live data must be noted due to their volatility in other to ensure validity.

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9514 1404 393

Answer:

  (a) has complex solutions

Step-by-step explanation:

The values of a, b, c in the formula correspond to the coefficients of x^2, x, and the constant, respectively. Substitute these into the discriminant formula and do the arithmetic.

  #1: a = 1, b = 2, c = 5.

     d = b^2 -4ac = 2^2 -4(1)(5) = 4 -20 = -16 ⇒ complex solutions

__

I find repetitive calculation is nicely done by a spreadsheet. The other discriminants are shown in the attachment.

The area of the triangle, Rounded to the nearest hundredth, is approximately 132.02 cm².

The area of a triangle with the given measurements, we can use the formula for the area of a triangle using side lengths and an included angle. The formula is:

Area = (1/2) * a * c * sin(B)

where a and c are the side lengths, B is the included angle between those sides, and sin(B) represents the sine of angle B.

Let's calculate the area using the given measurements:

B = 103° (included angle)

a = 12 cm

c = 22 cm

First, we need to convert the angle from degrees to radians, as the sine function operates on radians. We can use the conversion: radians = degrees * (π/180).

B in radians = 103° * (π/180) ≈ 1.8 radians

Next, we can substitute the values into the formula:

Area = (1/2) * a * c * sin(B)

     = (1/2) * 12 cm * 22 cm * sin(1.8 radians)

Using a calculator, we can evaluate sin(1.8 radians) ≈ 0.9833.

Area ≈ (1/2) * 12 cm * 22 cm * 0.9833

       ≈ 132.02 cm² (rounded to the nearest hundredth)

Therefore, the area of the triangle, rounded to the nearest hundredth, is approximately 132.02 cm².

Among the given options, the closest match is:

b) 132 cm² (rounded to the nearest whole number)

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

Step-by-step explanation:

Find the circumference:

Find the distance covered by 9 turns:

Convert inches to feet:

Step-by-step explanation:

2b²=2.83

b²=1.415

b=1.18953

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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9514 1404 393

Answer:

  j-k = 13/6

Step-by-step explanation:

The quadratic formula tells you the two solutions are ...

  x = (-b/(2a)) ±√(b² -4ac)/(2a)

The difference between these solutions is ...

  j-k = √(b² -4ac)/a

  j-k = √((-7)² -4(6)(-5))/6 = √(49 +120)/6 = √169/6

  j-k = 13/6

Answer:

6 = u

Step-by-step explanation:

54 / u = 9

We have to isolate "u" all by itself;

54 = 9*u

54 / 9 = u

6 = u

Hope this helps!

Answer:

6

Step-by-step explanation:

We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,

Equation :-

→ 54/u = 9

→ 1/u = 9 × 1/54

→ 1/u = 1/6

→ u = 6

Here you go!

The answer is B
Y=-2/3+2

Answer:

B

Step-by-step explanation:

\(slope=\frac{0-2}{3-0} =-\frac{2}{3}\)

y-intercept=2

y=mx+c

\(y=-\frac{2}{3} x+2\)

Answer:

concave up

Step-by-step explanation:

there is no negatives in the equation (in front of x-value)

Answer:

148 and 143

147.667 round all of the cent you get 148 dollars

same as the first then you get 143 dollars

Answer:

\(P=\$276646.153\)

Step-by-step explanation:

Time \(T=30years\)

Rate \(r=0.325\%\)

Payment per month \(P=\$ 900\)

Generally the equation for Principle  is mathematically given by

\(M=\frac{P r}{1-(1+r)^{-n}}\)

\(900=\frac{P \frac{0.325}{100}}{1-(1+( \frac{0.325}{100}))^{- 30*12}}\)

\(P=\frac{900*100*0.99}{0.325}\)

\(P=\$276646.153\)