A cube is painted with green colour on its all six faces. If this cube is cut into equal
27
small cubes, how many small cubes will have no face coloured?

Answer:

The northern Georgia study with a margin of error of 1.7%.

All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)

Step-by-step explanation:

The best and most correct answer among the choices provided by the question is the third choice "The northern Georgia study with a margin of error of 1.7%."

All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)

Answer:

10

Step-by-step explanation:

a1=2

a=2

an=-5an-1+3

plug in

(2)5=10

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

155.3

Step-by-step explanation: i got the same problem

The four points on the lemniscate where the tangent is horizontal are (0, ±a/sqrt(2)) and (±sqrt(a^2 - x^2), ±sqrt(a^2 - x^2)), where x is a solution of the equation x(x^2 + y^2 - 2a^2) = 0

Explanation: The lemniscate is given by the equation (x^2 + y^2)^2 = 2a^2(x^2 - y^2), where a is a positive constant. To find the points on the lemniscate where the tangent is horizontal, we differentiate this equation with respect to x:

d/dx [(x^2 + y^2)^2] = d/dx [2a^2(x^2 - y^2)]

2(x^2 + y^2)(2x + 2y dy/dx) = 4a^2x

To find the values of x where the tangent is horizontal, we set the derivative dy/dx equal to zero, since a horizontal tangent has zero slope. This gives:

2(x^2 + y^2)(2x) = 4a^2x

(x^2 + y^2)(2x) = 2a^2x

x(x^2 + y^2 - 2a^2) = 0

Thus, we have two possible values of x: x = 0 and x^2 + y^2 = 2a^2. To obtain the corresponding values of y, we substitute these values of x into the equation of the lemniscate:

When x = 0, we have y = ±a/sqrt(2), corresponding to the two points (0, ±a/sqrt(2)) on the lemniscate where the tangent is horizontal.

When x^2 + y^2 = 2a^2, we have y = ±sqrt(2a^2 - x^2), corresponding to the two pairs of points on the lemniscate where the tangent is horizontal: (±sqrt(a^2 - x^2), sqrt(a^2 - x^2)) and (±sqrt(a^2 - x^2), -sqrt(a^2 - x^2)).

Therefore, the four points on the lemniscate where the tangent is horizontal are (0, ±a/sqrt(2)) and (±sqrt(a^2 - x^2), ±sqrt(a^2 - x^2)), where x is a solution of the equation x(x^2 + y^2 - 2a^2) = 0.

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Answer:

6x^2+4

Step-by-step explanation:

multiply :D

Answer:

x (the number) = 19

Step-by-step explanation:

We can translate this into a linear equation. We will use x as our variable (a number). We have:

4x + 21 = 6x - 17

We will add 17 to both sides, and subtract 4x from both sides, giving us:

38 = 2x

Then dividing both sides by 2 gives us:

x = 19

So, x (the number) = 19.

Hope this helped!

Please give Brainliest if possible!

Answer:

4x + 21= -17+6x

-2x= -38

x=19

Answer:

13/28

Step-by-step explanation:

using pemdas we can determine that the equation is directly solves from left to right

so

first

we have

3/8 + 1/8

which is 4/8

you can simplify this to 1/2

then you have 1/2 - 2/7

you must make them have the same numerator

you can multiple 1/2 by 7/7 and 2/7 by 2/2

7/14 - 4/14 = 3/14

now you must add 3/14 and 1/4

but you to make them have the same numerator

so you multiply 3/14 by 2/2 and 1/4 by 7/7

6/28 + 7/28 = 13/28

that is your final answer

hello

#stay At Home

thanks

The probability of selecting a defective roofing sheet from the finished products of ABC is 2.45%. If a randomly selected defective sheet is found, the probability that it was made by machine B3 is approximately 54.55%.

To determine the probability of selecting a defective roofing sheet from the finished products of ABC, we need to calculate the weighted average of the defect rates for each machine.

The weighted average defect rate is calculated by multiplying the defect rate of each machine by its corresponding proportion of production and summing the products.

Weighted Average Defect Rate = (0.02 * 0.30) + (0.03 * 0.45) + (0.02 * 0.25)

                            = 0.006 + 0.0135 + 0.005

                            = 0.0245

Therefore, the probability of selecting a defective roofing sheet from the finished products of ABC is 2.45%.

To calculate the probability that a randomly selected defective sheet was made by machine B3, we need to consider the proportion of defective sheets contributed by B3 out of the total defective sheets.

The proportion of defective sheets from B3 = (0.02 * 0.30) / 0.0245

                                            = 0.006 / 0.0245

                                            ≈ 0.245

The probability that a defective sheet was made by machine B3 can be obtained by dividing the proportion of defective sheets from B3 by the overall probability of selecting a defective sheet.

Probability of sheet made by B3 = (0.245 / 0.0245) * 100

                              ≈ 54.55%

Therefore, if a randomly selected defective roofing sheet is found, the probability that it was made by machine B3 is approximately 54.55%.

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However, I can explain the process of simplifying the given functions using the Karnaugh Map (K-Map) method and provide you with the minimized SOP and POS forms.

1. For Function 1, we have the following grouped and labeled K-Maps:
  - K-Map for variables a, b, and e (4x4 grid)
  - K-Map for variable d (2x2 grid)
2. To obtain the minimized SOP forms of Function 1, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain six possible minimized SOP forms for Function 1.

3. For Function 2, we have the following grouped and labeled K-Maps:
  - K-Map for variables a, b, c, and e (4x4 grid)
  - K-Map for variable d (2x2 grid)
4. To obtain the minimized POS forms of Function 2, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain three possible minimized POS forms for Function 2.

Please note that the specific expressions and grouped cells for each function can be obtained by visually examining the K-Maps. It would be best to refer to a resource that allows you to draw and label the K-Maps to get the accurate results for Function 1 and Function 2.

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Answer:

108ft squared

Step-by-step explanation:

Length increased by 50%: 12ft

Width increased by 50%: 9ft

12x9=108ft squared

I think this is right please confirm before using this answer. Please favorite if right.

Answer is in the attached file...

The probability of getting a black ball is 5/13, if odds of choosing one black ball fron urn are 5 to 8.

According to the given question.

The odds of choosing one black ball from an urn are 5 to 8.

As we know that "the odds for an event is the ratio of the favorable outcomes to the unfavorable outcomes".

Therefore,

The favorable outcomes of getting black ball = 5

Unfavorable outcomes of getting black ball = 8

So, total outcomes = 5 + 8 = 13

Thereofre,

The probability of getting a black ball

= favorable outcomes/ total number of outcomes

= 5/13

Hence, the probability of getting a black ball is 5/13.

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Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property

Answer:

320

Step-by-step explanation:

multiples of -4

Answer:

320

Step-by-step explanation:

it looks as if it is multiplied by -4 every time.

-5 x -4 = 20

20 x -4 = -80

-80 x -4 = 320

The equilibrium points of the given nonlinear ordinary differential equation dx/dt = x^2 - x - 6 are x = -2 and x = 3.

To find the equilibrium points of the given nonlinear ordinary differential equation, we set dx/dt equal to zero and solve for x. In this case, we have:

x^2 - x - 6 = 0

Factoring the quadratic equation, we get:

(x - 3)(x + 2) = 0

Setting each factor equal to zero, we find two equilibrium points:

x - 3 = 0  -->  x = 3

x + 2 = 0  -->  x = -2

So, the equilibrium points are x = -2 and x = 3.

To determine the stability of these equilibrium points, we can analyze the behavior of the system near each point. Stability is determined by the behavior of solutions to the differential equation when perturbed from the equilibrium points.

For the equilibrium point x = -2, we can substitute this value into the original equation:

dx/dt = (-2)^2 - (-2) - 6 = 4 + 2 - 6 = 0

The derivative is zero, indicating that the system is at rest at x = -2. To analyze stability, we can consider the behavior of nearby solutions. If the solutions tend to move away from x = -2, the equilibrium point is unstable. Conversely, if the solutions tend to move towards x = -2, the equilibrium point is stable.

For the equilibrium point x = 3, we substitute this value into the original equation:

dx/dt = 3^2 - 3 - 6 = 9 - 3 - 6 = 0

Similar to the previous case, the system is at rest at x = 3. To determine stability, we analyze the behavior of nearby solutions. If the solutions move away from x = 3, the equilibrium point is unstable. If the solutions move towards x = 3, the equilibrium point is stable.

In conclusion, the equilibrium points of the given nonlinear ordinary differential equation are x = -2 and x = 3. The stability of x = -2 and x = 3 can be determined by analyzing the behavior of nearby solutions.

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The total area of the composite figure is 114.25 square feet.

The area of a circle of diameter D is:

A = 3.14*(D/2)²

And the area of a triangle of base B and height H is:

A = B*H/2

We can decompose the figure into two simpler ones, a triangle of base of 10ft and height of 15 ft, whose area is:

A = 10ft*15ft/2 = 75ft²

And half of a circle of diameter of 10ft, whose area is:

A = 0.5*3.14*(10ft/2)² = 39.25 ft²

Then the total area of the figure is:

area =  75ft² + 39.25 ft² = 114.25 ft²

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Answer:

x=-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

3(-4+x)=-42

-12+3x=-42

3x=-30

x=-10

The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

1/6

Step-by-step explanation:

-1/m

-1/-6

1/6

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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Answer:

96%

Step-by-step explanation:

4800÷5000

Answer:lol

Step-by-step explanation:lol

Answer:

According to search result [1], the Biblical account of Joshua's long day is a miracle of "all of these": timing, intervention of natural laws, and visible appearance.

Step-by-step explanation:

The number of integers in the set divisible by exactly one of 2, 3, 5, and 7 is therefore 211 and the total number of integers in the set divisible by exactly two of 2, 3, 5, and 7 is 101

To count the integers in the set {1, 2, 3, ..., 210} that are divisible by exactly one of 2, 3, 5, and 7, we need to use the principle of inclusion-exclusion.

The number of integers in the set divisible by 2 is 105.

The number of integers in the set divisible by 3 is 70.

The number of integers in the set divisible by 5 is 42.

The number of integers in the set divisible by 7 is 30.

The number of integers in the set divisible by 2 and 3 is 35.

The number of integers in the set divisible by 2 and 5 is 21.

The number of integers in the set divisible by 2 and 7 is 15.

The number of integers in the set divisible by 3 and 5 is 14.

The number of integers in the set divisible by 3 and 7 is 10.

The number of integers in the set divisible by 5 and 7 is 6.

The number of integers in the set divisible by exactly one of 2, 3, 5, and 7 is therefore:

105 + 70 + 42 + 30 - (35 + 21 + 15 + 14 + 10 + 6) = 211.

(b) To count the integers in the set {1, 2, 3, ..., 210} that are divisible by exactly two of 2, 3, 5, and 7, we can count the number of integers in the set that are divisible by each pair of these primes and add up the results.

The number of integers in the set divisible by 2 and 3 is 35.

The number of integers in the set divisible by 2 and 5 is 21.

The number of integers in the set divisible by 2 and 7 is 15.

The number of integers in the set divisible by 3 and 5 is 14.

The number of integers in the set divisible by 3 and 7 is 10.

The number of integers in the set divisible by 5 and 7 is 6.

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Answer:

Y = x + 1

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.