16a³-2b³ how am I supposed to solve this equation​

Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.

To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.

Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.

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To prove the limit of (5x-7)/3 as x approaches a certain value, we can use the precise definition of a limit. For any ε > 0, there exists a δ > 0 such that if 0 < |x - a| < δ, then |(5x-7)/3 - L| < ε, where L is the desired limit.

We want to prove that the limit of (5x-7)/3 as x approaches a certain value, say a, is equal to L. This can be done using the precise definition of a limit. Let ε > 0 be given. We need to find a δ > 0 such that if 0 < |x - a| < δ, then |(5x-7)/3 - L| < ε.

To proceed with the proof, we start by manipulating the expression |(5x-7)/3 - L| as follows:

|(5x-7)/3 - L| = |(5x-7 - 3L)/3| = |5(x - a)/3 - (7 + 3L)/3| = |5(x - a)/3 - (7 + 3L)/3| = |(5/3)(x - a) - (7 + 3L)/3| = |(5/3)(x - a) - (7 + 3L)/3| = |(5/3)(x - a) - (7 + 3L)/3| = |(5/3)(x - a) - (7 + 3L)/3| = |(5/3)(x - a) - (7 + 3L)/3|.

Now, we want to find a value of δ such that |(5/3)(x - a) - (7 + 3L)/3| < ε whenever 0 < |x - a| < δ. Since (5/3)(x - a) is a linear function, we can choose δ = (3ε)/5. Then, if 0 < |x - a| < δ, we have:

|(5/3)(x - a) - (7 + 3L)/3| = (5/3)|x - a| < (5/3)δ = (5/3)(3ε/5) = ε.

Thus, we have shown that for any ε > 0, we can find a δ > 0 such that if 0 < |x - a| < δ, then |(5x-7)/3 - L| < ε. This satisfies the precise definition of a limit, proving that the limit of (5x-7)/3 as x approaches a is indeed L.

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The probability that a student scored less than 55% on the exam is 0.134%.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

Mean of the sample = 70

Standard deviation = 5

= P(X<55%)

Z = (55-70)/5

Z = -3

P(X < -3)

From the Z table:

P(x<-3) = 0.0013499

or

P(x<-3) = 0.134%  

Thus, the probability that a student scored less than 55% on the exam is 0.134%.

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Answer: -64y^3x^12

Step-by-step explanation:

The radical exponent for five to the three fourths power all raised to the two thirds power is C. the square root of five.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this situation, five to the three fourths power all raised to the two thirds power will be:

= 5^3/4(^2/3)

= 5^1/2

The correct option is C

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The value of OA is equal to 6.28 under a dilation.

Given, B is the image of point A under a dilation with center O and scale factor 7. '

Also AB = 44.

We need to find OA.

We can use the property of dilation and scale factor to find the value of OA.

The property of dilation states that the image of a point (x, y) under dilation with center O and scale factor k is (kx, ky).

In this case, B is the image of point A under dilation with center O and scale factor 7.

Based on the property of dilation, we can say that:OA × 7 = AB

Substituting the given values, we get:OA × 7 = 44

Dividing both sides of the equation by 7, we get:OA = 44/7OA = 6.28

Therefore, OA is equal to 6.28.

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Answer:

\(Speed = \frac{Distance}{Time } = \frac{120}{3} = 40mph\)

T = 75minutes = (75/60) hours

\(Distance = Speed \times Time = 40 \times \frac{75}{60} =\frac{40\times 75}{60} = 50miles\)

option A

Answer:

B. 60 miles

Step-by-step explanation:

Answer:

And....what are the options? or are we suppose to know answer that?

Answer:

could you add the options pls

Answer:

10/12 i took the test

Step-by-step explanation:

Answer:

18/4  ,  27/6   ,   36/8

Step-by-step explanation:

9 to 2 x 2 = 18 to 4

9 to 2 x 3 = 27 to 6

9 to 2 x 4 = 36 to 8

There is no value of x that meets the requirements because this is a contradiction.

The angle addition postulate can be used to determine the value of x. According to the angle addition postulate, if point Y is inside the angle ZUVX, then

According to the geometry postulate known as the angle addition, if two or more angles are placed side by side, with a common vertex and arm connecting each pair, the sum of those angles will equal the sum of the resulting angle1.

Take the two nearby angles ACB and CDB as an illustration. To identify undiscovered angles, we can combine their measurements. According to the angle addition postulate,∠ ACB + ∠CDB equals∠ ADC2.

ZUVX plus YUVX equals ZVYX and YVYX.

Since mVYX = 282 and mZUVX = (4x - 5) are known values, we may replace them in the equation as follows:

(4x - 5) + mYUVX + mZVYX = 282

The values of mYUVX and mZVYX are unknown, but since they are supplementary angles, we do know that they add up to 180 degrees. Hence, we may replace mYUVX with 180 - mZUVX and mZVYX with 180 - mVYX:

(180 - mZUVX) + (4x - 5) = 282 + (180 - mVYX)

When we simplify this equation, we obtain:

4x - 5 + 180 - (4x - 5) = 282 + 180 - 282

More simplification results in:

175 = 78

No value of x is there:

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In a simple research design (one predictor variable and one outcome variable), the variables are either related to each other or not. To decide that they are related, we would calculate an r correlation coefficient.

What is the r correlation coefficient?
The r correlation coefficient is used to measure the linear relationship between two continuous variables. It is a value ranging from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

How to calculate the r correlation coefficient?
The formula to calculate the r correlation coefficient is as follows:
r = (n∑XY - (∑X)(∑Y))/sqrt((n∑X2 - (∑X)2)(n∑Y2 - (∑Y)2))
Where n is the number of observations, ∑XY is the sum of the product of X and Y, ∑X is the sum of X, ∑Y is the sum of Y, ∑X2 is the sum of the square of X, and ∑Y2 is the sum of the square of Y.

How to interpret the r correlation coefficient?

The r correlation coefficient ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 0 indicates no correlation, and a value of 1 indicates a perfect positive correlation. A value between -1 and 0 indicates a negative correlation, while a value between 0 and 1 indicates a positive correlation.

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The answer is (C) 1.8 When A tank has 5.25 gallοns οf water. Omar pοurs the water frοm the tank  equally intο 3 buckets

In bοth imperial and US custοmary units, the gallοn is a unit οf vοlume. There are nοw three versiοns in use:

the US gallοn (US gal), defined as 3.785411784 L,[1] (231 cubic inches), which is used in the US and sοme cοuntries in Latin America and the Caribbean; the imperial gallοn (imp gal), defined as 4.54609 litres, which is οr was used in the United Kingdοm, Ireland, Canada, Australia, New Zealand, and sοme Caribbean cοuntries.

Tο find the number οf gallοns οf water in each bucket, we need tο divide the tοtal amοunt οf water (5.25 gallοns) by the number οf buckets (3):

5.25 gallοns / 3 = 1.75 gallοns

Rοunding tο the cοrrect number οf significant digits, we get:

= 1.8 gallοns

Therefοre, the answer is (C) 1.8.

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The length of Adrianna's bedroom that has a perimeter of 90 feet and a width of 15 feet is 30 feet.

To find the length of Adrianna's bedroom, we can use the formula for the perimeter of a rectangle:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

We are given that the perimeter is 90 feet and the width is 15 feet, so we can substitute those values into the formula:

90 = 2l + 2(15)

Simplifying:

90 = 2l + 30

Subtracting 30 from both sides:

60 = 2l

Dividing both sides by 2:

30 = l

Therefore, the length of Adrianna's bedroom is 30 feet.

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Answer:

1361 ft.

Explanation:

The circumference of the wheel times the number of rotations equals distance travelled

\(C = d\pi\)

Answer:

Step-by-step explanation:

One rotation is same distance as:

Total distance traveled:

Convert inches to feet:

Answer:

Step-by-step explanation:

< 4/7

According to the question The probability that no person is next to their partner is approximately 0.00022.

To find the probability that no person is next to their partner, we can consider the number of favorable outcomes and the total number of possible outcomes.

The total number of possible arrangements of 8 people is 8!, which is the factorial of 8 (8 factorial) and equals 40320.

Now, let's calculate the number of favorable outcomes, where no person is next to their partner. We can use the principle of derangements.

A derangement is a permutation of a set in which no element appears in its original position. In this case, we want to derange the 4 couples so that no person is next to their partner.

The number of derangements of 4 couples can be calculated using the formula for derangements:

\(D(4) = 4! * (1 - 1/1! + 1/2! - 1/3! + 1/4!)\)

= 9

So, there are 9 favorable outcomes where no person is next to their partner.

Therefore, the probability that no person is next to their partner is:

Probability = Number of favorable outcomes / Total number of possible outcomes

          = 9 / 40320

          ≈ 0.0002232143

Rounded to 5 decimal places, the probability is approximately 0.00022.

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Answer:

volume of cylinder= πr²h

Step-by-step explanation:

volume of cylinder = πr²h

hope it is helpful to you

The calculated value of x in the circle is 59

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

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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To solve [infinity] (x 6)n n = 1 we need to apply the power rule

To solve this question, first rewrite the equation as (6n)n = 1.

Then, use the power rule to solve, which states that (bn)n = bn*n.

Therefore, (6n)n = 61. Finally, simplify the expression to find that infinity (x 6)n n = 1 equals 6.

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Answer:

Step-by-step explanation:

1807

Answer:

10 packages

Step-by-step explanation:

When Mr. Rankin opens the box and looks straight down on it, he could see two packages. The 12x9 paper package can fit two, side by side in the 18X12 box.

Then there also can fit a stack 5 packages tall. Each bundle is 2 inches tall and the box is 10 inches tall.

Two stacks, 5 deep is 10 packages. see image.

The probability that the first child selected will be a girl is 0.5 or 50%.

The probability of a child being a boy or a girl is equal, as long as the parents are healthy and have no genetic conditions that affect the gender of the child. In general, the chance of having a boy or a girl is about 50-50.

However, it is important to understand that each individual birth is a random event and that the probability of having a boy or a girl is calculated over a large number of births.

This means that even though the overall probability of having a boy or a girl is equal, it is possible to have a run of several boys or several girls in a row.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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The absolute maximum value of f on R does not exist, while the absolute minimum value of f on R is 6.

To find the absolute maximum and minimum values of f on R, we need to consider the critical points in the interior of R and the points on the boundary of R.

First, we find the critical points by taking the partial derivatives of f with respect to x and y, and setting them equal to 0:

fx = 6x - 6 = 0, fy = 7 = 0

Solving these equations gives us the critical point (1, 0).

Next, we find the values of f at the corners of R:

f(0, 1) = 10, f(0, -1) = 22, f(2, 1) = 6, f(2, -1) = 18

Finally, we check the values of f on the boundary of R by parametrizing the boundary curve as (t, 1-t^2) for 0 ≤ t ≤ 2. Evaluating f at these points gives us a minimum value of 6 at t = 2.

Since there is no maximum value of f on R, we conclude that the absolute maximum value does not exist. The absolute minimum value of f on R is 6.

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Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

with what????????????

Answer:

with what

Step-by-step explanation:

The probability that five cars will arrive during the next thirty minute interval is 0.0361

What is probability?

Probability is a way of calculating how likely something is to happen. Numerous things are difficult to forecast with absolute confidence.

Main Body:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 15 minutes is 6.

The average number of cars arriving in 1 minute is = 6/15 = 2/5

The average number of cars arriving in 5 minutes is, (2/5)*5 = 2

The random variable X follows a Poisson distribution with parameter λ = 2.

The probability mass function of X is:

P(X=\(x\)) = \((e^{-2} 2^{x} )/x!\)  , x = 0,1 ,2 ,3...

Compute the probability that 5 cars will arrive in 5 minutes as follows:

P(X=5) =\((e^{-2} 2^{5} )/5!\)

P (X= 5) = 0.0361

Hence probability is 0.0361

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Answer:

pa answer Lang ako KC nag bibigay ako NG points

Angle ADC = 120 degrees.

A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°

Given, two circles of radius 1 unit and 2 unit which have same center D.

We know area of a circle = π r²

Area of larger circle = π 2² = 4π

it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.

area of sector, ACD = 1/12 ×4π

as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.

formula for area of sector ACD = π r² ×Ф/360°

where,Фis the central angle of ACD sector

and Ф = ADC

from the above statement, 4π/12 = π r² ADC/360

                        ADC = 1/3×360°

ADC = 120 degrees

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