What is 6a²b – 12ab² divided by —2ab?

I need help

Step-by-step explanation:

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7 inch length of candle will burn in 4 hours

In the above question, it is given that

A candle burns down as follows

The length of candle burn in 4 hours = 12 \(\frac{1}{4}\) inch

Converting it from mixed fraction to fraction we get

= \(\frac{49}{4}\)inch

We need to find a 7 inch length of candle will burn in how many hours

To find that, first we'll calculate 1 inch candle is burning in what time

\(\frac{49}{4}\)inch is burning in = 7 hours

1 inch is burning in = \(\frac{7}{\frac{49}{4} }\)

= \(\frac{7 . 4}{49}\) = \(\frac{28}{49}\) = \(\frac{4}{7}\) hrs

Now, The 7 inch candle will burn in = 7 x  \(\frac{4}{7}\) hrs = 4 hours

Hence,  7 inch length of candle will burn in 4 hours

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c and n0 exist such that the definition holds for the given functions

Here is the arranged list of functions in ascending order of growth rate:1 < log n < n < n log n < n² < 2ⁿ < 2ⁿ.

Here, O-notation is used to represent the growth rate of the function which is given as follows:

O(f(n)) = {g(n): there exist positive constants c and n0 such that 0 ≤ g(n) ≤ c.f(n), for all n ≥ n0}.

The definition states that there exists a constant c such that g(n) lies between 0 and c times f(n) for all values of n beyond n0.

To show that f(n) is O(g(n)), we need to prove that c and n0 exist such that the definition holds for the given functions.

Here is how we can do it:

1. 1(n) ≤ 2 log n, for n > 1. Let n0 = 1 and c = 2.

Therefore, 1(n) is O(log n).2. 2(n) ≤ 2² n, for n > 1. Let n0 = 1 and c = 4.

Therefore, 2(n) is O(n).3. 3(n) ≤ n log n, for n > 1. Let n0 = 2 and c = 1.

Therefore, 3(n) is O(n log n).4. 4(n) ≤ 3n, for n > 1. Let n0 = 1 and c = 3.

Therefore, 4(n) is O(n).5. 5(n) ≤ n log n, for n > 1. Let n0 = 2 and c = 1.

Therefore, 5(n) is O(n log n).6. 6(n) ≤ 2ⁿ, for n > 1. Let n0 = 1 and c = 1.

Therefore, 6(n) is O(2ⁿ).7. 7(n) ≤ 2ⁿ, for n > 1. Let n0 = 1 and c = 1.

Therefore, 7(n) is O(2ⁿ).

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To find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

To find v⋅u (the dot product of v and u), you can multiply the corresponding components of v and u and then add the results.

To find |v| (the magnitude or length of v), you can use the Pythagorean theorem. Square each component of v, add the results, and take the square root of the sum.

Similarly, to find |u| (the magnitude or length of u), you can use the same process as above.

To find the cosine of the angle between v and u, you can use the dot product formula: cosθ = (v⋅u) / (|v| * |u|).

To find the scalar component of u in the direction of v, you can use the formula: (v⋅u) / |v|.

Lastly, to find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

Remember to plug in the values for v and u to get the specific results for each exercise.

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The chances the car is actually green are 41%, which means there is still a significant chance that the car was actually blue.

No, the answer is not 41%. To find the chances the car is actually green, we need to use Bayes' Theorem:

P(G|W) = P(W|G) * P(G) / P(W)

where P(G|W) is the probability of the car being green given that a witness saw a green car, P(W|G) is the probability of a witness correctly identifying a green car (0.8 in this case), P(G) is the prior probability of the car being green (0.15), and P(W) is the overall probability of a witness seeing any car and correctly identifying its color.

To find P(W), we need to consider both the probability of a witness seeing a green car and correctly identifying its color (0.8 * 0.15 = 0.12) and the probability of a witness seeing a blue car and incorrectly identifying it as green (0.2 * 0.85 = 0.17).

So, P(W) = 0.12 + 0.17 = 0.29.

Now we can plug in the values and solve for P(G|W):

P(G|W) = 0.8 * 0.15 / 0.29 = 0.41

Therefore, the chances the car is actually green are 41%, which means there is still a significant chance that the car was actually blue.

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Answer:

Step-by-step explanation:

A rectangle can is made up of two right angled triangle as shown.

Since area of a rectangle = \(base * height\)

Area of one of the triangle = \(\frac{1}{2}\ * \ area\ of\ the\ rectangle\)

The length and width of the triangle will be the same as that of the rectangle i.e  5units long and 2units wide

Area of one of the triangle = \(\frac{1}{2} * 5 * 2\)

Area of one of the triangle = 5units²

The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.

The solution to given linear inequality, -4m - 3.65 > 4.35, is m < -2

From the question, we are to solve the given linear inequality.

From the given information,

The given linear inequality is

-4m - 3.65 > 4.35

Solving the linear inequality

-4m - 3.65 > 4.35

Add 3.65 to both sides

-4m - 3.65 + 3.65 > 4.35 + 3.65

-4m > 8.00

Divide both sides by -4 and revert the signs

-4m/-4 > 8.00/-4

m < -2

Hence, the solution is m < -2

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Answer:

(4,0)

Step-by-step explanation:

Line segment EG is partitioned by point F in the ratio 1:3.

This means that:

\(F - E = \frac{1}{4}(G - E)\)

We use this equation to find both the x-coordinate and the y-coordinate of point G.

x-coordinate:

x-coordinate of E: 0

x-coordinate of F: 1

x-coordinate of G: x

Then

\(F - E = \frac{1}{4}(G - E)\)

\(1 - 0 = \frac{1}{4}(x - 0)\)

\(1 = \frac{x}{4}\)

\(x = 4\)

y-coordinate:

y-coordinate of E: 4

y-coordinate of F: 3

y-coordinate of G: y

Then

\(F - E = \frac{1}{4}(G - E)\)

\(3 - 4 = \frac{1}{4}(y - 4)\)

\(-1 = \frac{y-4}{4}\)

\(y - 4 = -4\)

\(y = 0\)

What are the coordinates of point G?

x = 4, y = 0, so (4,0).

Answer: Choice A (both are smiley faces)

This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

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Answer:

ok

Step-by-step explanation:

Answer:

B' (- 7, 6 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x + 2, y + 5 )

This means add 2 to the original x- coordinate and add 5 to the original y- coordinate, then

B (- 9, 1 ) → B' (- 9 + 2, 1 + 5 ) → B' (- 7, 6 )

Answer:

that's not correct.

17.43/100= 0.1743

174.3×0.01=1.743

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

57/100

Step-by-step explanation:

27/100 = 0.27

3/10 = .3

.27 + .3 = .57

.57 = 57/100

Answer:

57/100

Step-by-step explanation:

make the denominators the same

lcm of 10, 100= 100

27/100+30/100=57/100

Answer:

Y = 1/2

Step-by-step explanation:

6/36 = y/3

Y = 1/2

Just multiply 3 by both sides

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

The value of y is -2. Then the value of y² will be 4.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The value of y is -2.

Then the value of y square will be

y = -2

Square on both sides, we have

y² = (-2)²

y² = 4

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85 foes in 272 3 times

.

.

.

.

The equations in  slope-intercept form are:

A. y = x - 5

B. y = -x + 1

The equation where m is the slope and b is the y-intercept, in slope-intercept form is given as y = mx + b.

If two lines are parallel, their slope will be the same, if they are perpendicular, their slope will be negative reciprocals of each other.

Part A: The slope (m) of the equation y = x + 4 is 1. The line parallel to the equation will have the same slope as m = 1.

Substitute m = 1 and (x, y) = (3, -2) into y = mx + b to find b:

-2 = 1(3) + b

-2 - 3 = b

b = -5

Write the equation in slope-intercept from by substituting b = -5 and m = 1 into y = mx + b:

y = x - 5

Part B: The slope (m) of the equation y = x + 4 is 1. The negative reciprocal of 1 is -1. Therefore, the line that is perpendicular to the equation will the slope as , m = -1.

Substitute m = -1 and (x, y) = (3, -2) into y = mx + b to find b:

-2 = -1(3) + b

-2 + 3 = b

b = 1

Write the equation in slope-intercept form by substituting b = -5 and m = -1 into y = mx + b:

y = -x + 1

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kcf

keep change flip

5/6x1/4=5/24

Answer:

5/24

Step-by-step explanation:

To divide a fraction by a whole number place one over the whole number and multiply:

\(\frac{5}{6}\)×\(\frac{1}{4}\)

Then you multiply across the top and bottom and get your answer

\(\frac{5}{24}\)

With the measurements mentioned, 142 boxes may fit into the truck.

Volume is the quantity of space in a 3D object in arithmetic. A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which is six. Volume is defined as the space occupied by an item inside the confines of three-dimensional space. It is also known as the object's capacity.

Here,

interior dimensions of truck,

=168 in x 96 in x 77 in

dimensions of storage boxes,

=24 in x 13 in x 28 in

=168 x 96  x 77/24 x 13 x 28

=142.12

142 boxes can fit into the truck with given dimensions.

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3. The current price of the common stock is $40.

4. The stock price considering the company quitting business after 25 years is $46.81.

5. The stock price assuming constant dividends is $26.67.

6. The stock price assuming constant dividends and the company quitting business after 25 years is $25.88.

3. The current price of the common stock can be calculated using the dividend discount model. The formula for the stock price is P = D / (r - g), where P is the stock price, D is the dividend, r is the required return, and g is the growth rate. In this case, the dividend is $4, the required return is 15% (0.15), and the growth rate is 5% (0.05). Plugging these values into the formula, we get P = 4 / (0.15 - 0.05) = $40.

4. If the company quits business after 25 years, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / (r - g) * (1 - (1 + g)^-n), where PV is the present value, D is the dividend, r is the required return, g is the growth rate, and n is the number of years. In this case, D = $4, r = 15% (0.15), g = 5% (0.05), and n = 25. Plugging these values into the formula, we get PV = 4 / (0.15 - 0.05) * (1 - (1 + 0.05)^-25) = $46.81. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $46.81 + $0 = $46.81.

5. Assuming constant dividends, the stock price can be calculated using the formula P = D / r, where P is the stock price, D is the dividend, and r is the required return. In this case, the dividend is $4 and the required return is 15% (0.15). Plugging these values into the formula, we get P = 4 / 0.15 = $26.67.

6. If the company quits business after 25 years and assuming constant dividends, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / r * (1 - (1 + r)^-n), where PV is the present value, D is the dividend, r is the required return, and n is the number of years. In this case, D = $4, r = 15% (0.15), and n = 25. Plugging these values into the formula, we get PV = 4 / 0.15 * (1 - (1 + 0.15)^-25) = $25.88. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $25.88 + $0 = $25.88.

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In order to find:

g(–3) − f(–5),

we first want to find g(–3) and f(–5).

In order to find them we just have to replace x on their equations:

g(-3)

We just replace x by -3 in the equation

And now, we solve it

Then, g(-3) = -25

f(-5)

We just replace x by -5 in the equation

And now, we solve it

then, f(-5) = 68

g(–3) − f(–5)

Since

g(-3) = -25

and

f(-5) = 68

then

g(–3) − f(–5) = -25 - 68 = -93

Answer: g(–3) − f(–5) = -93

The SRS of 125 students is more likely to produce a sample result closer to the true population value.

An SRS (Simple Random Sample) of 125 students allows for a larger sample size, which provides more accurate results.

A larger sample size reduces the effects of random errors and increases the accuracy of the results.

This is due to the fact that the larger the sample size, the more likely it is to be representative of the population.

Additionally, a larger sample size increases the reliability of the results, as it increases the power of the test. Finally, a larger sample size allows for more data to be collected and analyzed, which can provide a clearer picture of the true population value.

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Answer:

0,100,0.5,20

Step-by-step explanation:

My answer got removed cause I didn't put an explanation... you just plug in the numbers to the equation.

I apologize, but as a text-based AI model, I am unable to provide handwritten answers or show work in form of formulas. To determine annual interest rate of 4.5%, we can use compound interest formula.

To determine how long it will take to double your money with an annual interest rate of 4.5%, we can use the compound interest formula:

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

Where:

A = Final amount (double the initial amount)

P = Principal (initial amount)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time (in years)

In this case, we want to find the value of t. Let's assume the initial amount is P, and the final amount is 2P (double the initial amount). Substituting these values into the formula, we have:

2P = P(1 + 0.045/n)^(nt)

To solve for t, we can divide both sides of the equation by P and simplify:

2 = (1 + 0.045/n)^(nt)

Taking the natural logarithm (ln) of both sides of the equation:

ln(2) = nt ln(1 + 0.045/n)

Now, we can solve for t:

t = ln(2) / (n ln(1 + 0.045/n))

The value of n will depend on how frequently the interest is compounded (e.g., annually, semi-annually, quarterly, etc.). By substituting the appropriate value for n and evaluating the expression, you can determine the time it will take to double your money.                                              Note: If you provide the specific compounding period, I can assist you in calculating the exact time it takes to double your money.

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