The tables represent the points earned in each game for a season by two football teams.


Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14


Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points

The velocity distribution does not represent a possible three-dimensional incompressible flow

The velocity distribution represents a possible three-dimensional incompressible flow, we need to check if it satisfies the continuity equation for incompressible flow. The continuity equation states that the divergence of the velocity field should be zero:

∇ · V = ∂u/∂x + ∂v/∂y + ∂w/∂z = 0

Let's check each velocity distribution:

(a) u = 2y² 2xz, v = -2xy 6x² yz, w = 3x² z² x³ y⁴

∂u/∂x = 0 (no x term)

∂v/∂y = -2x - 12x² yz

∂w/∂z = 6x² z - 2z

The divergence of V is:

∇ · V = 0 + (-2x - 12x² yz) + (6x² z - 2z)

= -2x - 12x² yz + 6x² z - 2z

The divergence is not zero, so this velocity distribution does not represent an incompressible flow.

Therefore, the given velocity distribution does not represent a possible three-dimensional incompressible flow.

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☁️My Answer☁️:

y = 90°

✧My Step-by-step explanation✧:

The angle x forms a straight line with the both the 50° angle and the 40° angle:

x + 50° + 40° = 180°

x = 90°

Which means…

y = x = 90°

When using the elimination method to solve, what would be a possible first step in the process is to write the equations in standard forms.

The elimination method is a method used in  solving a pair of simultaneous linear equations  by reducing one equation to one that has only a single variable.

This method is called the Gaussian elimination method.

The steps in the Gaussian elimination method are;

Hence, the step is writing the equations in standard forms.

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The first step in solving this equation by using elimination is to multiply

(4x – 2y = -4) *2

(2x + y = 4)*4

8x – 4y = -8

8x + 4y = 16

The next term in the sequence is 70.

To find a recursive formula for the sequence 5, 18, 31, 44, 57, we observe that each term is obtained by adding 13 to the previous term. Let's denote the nth term of the sequence as a(n). Then, the recursive formula for this sequence can be written as:

a(1) = 5 (the first term)

a(n) = a(n-1) + 13 (for n > 1)

Using this recursive formula, we can find the next term:

a(1) = 5

a(2) = a(1) + 13 = 5 + 13 = 18

a(3) = a(2) + 13 = 18 + 13 = 31

a(4) = a(3) + 13 = 31 + 13 = 44

a(5) = a(4) + 13 = 44 + 13 = 57

So, the next term in the sequence would be found by evaluating a(6):

a(6) = a(5) + 13 = 57 + 13 = 70

Therefore, the next term in the sequence is 70.

The complete question is:

write a recursive formula for the sequence 5,18,31,44,57 then find the next term.

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The amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.

To calculate the amount of tip that Ethan receives on every order, we can use the formula:

Tip amount = (Tip percentage) x (Cost of order)

In this case, the tip percentage is `15\%` and the cost of order is the variable we need to find.

Let's assume that the cost of an order is $100. Using the formula above, we can calculate the amount of tip that Ethan receives:

Tip amount = (`15\%`) x ($100)
Tip amount = $15

Therefore, Ethan receives a $15 tip on an order that costs $100.

If the cost of an order is different, we can simply plug in the new value into the formula and calculate the tip amount accordingly. For example, if the cost of an order is $50, the tip amount would be:

Tip amount = (`15\%`) x ($50)
Tip amount = $7.50

In conclusion, to calculate the amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The equation that best represents the relationship is y = ½x + 2

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the values of x and y, let's check if the graph of y against x is linear

taking points x( 2,4) y(3,4)

slope =( 4-3)/4-2

slope = 1/2

therefore the graph is linear and slope is 1/2

the equation of a straight line = y − y 1 = m ( x − x 1 )

= y-3 = m( x- 2)

= y = 1/2(x-2)+3

y = ½x -1+3

y = ½x +2

therefore the equation that best represents the relationship is y = ½x + 2

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Kids in grade school have a maximum percentage of 32 reasons that Option (d) is the correct answer.

Korey did the market analysis section of his business plan after conducting a population survey of 3,520 homes within a 5-mile radius.

He discovered that younger children who read comic books as children are more likely to read them as adults, resulting in a current and future client base.

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According to the picture, we can find the length of PX by using the pythagorean theorem, where PX would be the hypotenuse.

The length of PX is 10 cm

The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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Answer:the answer is 240

Step-by-step explanation:the explanation 120-40 =80 80 divided by 2 = x  time by 80 =60 80 divide by 60 = 20 x = 20 20 x 8= 180 x by 20 = 240 so there fore the answe is 240

Answer:

x = \(\sqrt{164}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 10² + 8² = 100 + 64 = 164 ( take square root of both sides )

x = \(\sqrt{164}\)

Answer:

0.407 because in the others 7 comes before the 0

The cost of making a 5-minute international call using the given international calling plan is $2.25.

To calculate the cost of making a 5-minute call using unitary method, we need to determine the cost per minute of the call, and then multiply it by the number of minutes.

Given that the international calling plan charges 45 cents per minute or fraction of a minute, we can say that the cost per minute is 45 cents.

Using the unitary method, we can determine the cost of 1 minute of the call as follows

1 minute = 45 cents

5 minutes = 5 x 45 cents = 225 cents

= $2.25

Therefore, the cost of making a 5-minute call is $2.25

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To have a running out chance of less than 16%, you should stock at least 461 pans on a daily basis.

To determine the number of pans you should stock on a daily basis to have the chance of running out be less than 16%, we need to calculate the corresponding z-score for this probability and use it to find the corresponding value in the normal distribution.

The z-score represents the number of standard deviations away from the mean.

Since we want to find the number of pans to stock to have a running out chance of less than 16%, we need to find the z-score that corresponds to the upper tail of 16% in the standard normal distribution.

The upper tail probability is 1 - 0.16 = 0.84.

Looking up this probability in a standard normal distribution table or using a calculator, we find that the z-score corresponding to 0.84 is approximately 0.9945.

The z-score formula is:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value we want to find in the distribution,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

Rearranging the formula to solve for x:

x = z × σ + μ

Plugging in the values:

x = 0.9945 × 98 + 367

x ≈ 460.551

So, to have a running out chance of less than 16%, you should stock at least 461 pans on a daily basis.

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The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

Step-by-step explanation:

Christ spent a total amount of $ 14.50 on the shirt.

Here we use the linear equation concept to solve the problem.

Since we do not know the amount that Christ has assume that with a variable and form a linear equation using the data given.

Now solve the resultant equation for the value of the variable and find the amount spent by Christ on the shirt as given below

Here we have

Christy spent 2/5 of her money on a shirt.

She has $21.75 left

Let 'x' be the amount that Christy has

From the data,

Christy spent 2/5 of her money on a shirt.  

Amount spent by Christy = 2/5 of x = 2x/5

Remaining amount = x - 2x/5

From the data,

Chrisy is left with $ 21.75

=> x - 2x/5 = 21.75

=> 3x/5 = 21.75

=> 3x = 108.75

=> x = 36.25

Amount the that she spent 2x/5 = 2 (36.25)/5 = 14.50

Therefore,

Christ spent a total amount of $ 14.50 on the shirt.

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The total surface area of the pyramid is: 208.88 m²

The surface area of the pyramid is simply the sum of the areas of all the given surfaces.

Formula for the area of a triangle is:

Area = ¹/₂bh

where:

b is base

h is height

Area of four side triangles = 4(¹/₂ * 8 * 12) = 192 m²

Using Pythagoras theorem, the height of the base triangle is:

x = 4.22

Area of base = ¹/₂ * 8 * 4.22 = 16.88 m²

Total surface area = 192 + 16.88

= 208.88 m²

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The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.

In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 -4}{2}~~~ ,~~~ \cfrac{ 2 + 4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{6}{2} \right)\implies (-3~~,~~3)\)

Answer:

is 6 a choice if so that is the correct answer:)

Step-by-step explanation:

bc ik

Answer:

For the first part the answer is we will to find the number of servings for 8 cups.

The second and finnal answer is 16 servings

Step-by-step explanation:

2 quarts x 2 = 4 pints x 2 = 8 cups

5 cups per 10 servings unit rate is 1:2 X 8 = 8:16, Therfore 16 servings.

Glad I could help! :)

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

\(a+ar+ ar^2+ ar^3+...\)

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

\(|r| > 1\)

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

\(r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}\)

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

\(r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}\)

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

\(|r|=|-4|\\|r|=4\)

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)

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Answer:

its C

Step-by-step explanation:

The Inverse Function Theorem and Implicit Function Theorem are two important results in calculus that provide insights into the properties of functions and equations.

The Inverse Function Theorem states that if a function has a derivative that is non-zero at a point, then the function has a local inverse near that point. In other words, if a function f(x) has a non-zero derivative at a point a, then there exists a neighborhood around a where f(x) has a unique inverse function g(x) that is also differentiable. This theorem provides a mathematical foundation for finding and analyzing the inverses of functions.

On the other hand, the Implicit Function Theorem deals with equations rather than functions. It states that under certain conditions, an equation of the form F(x, y) = 0 can define y implicitly as a function of x. In other words, if F(x, y) is a continuously differentiable function and F(a, b) = 0 for some point (a, b), then there exist neighborhoods of a and b such that the equation F(x, y) = 0 defines y as a differentiable function of x in that neighborhood. This theorem allows us to determine the existence and differentiability of solutions to implicit equations.

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Answer:4

Step-by-step explanation:

&3&2&;;&;

If it was one year it would be 2200 and you just keep adding 200 for each year.

Answer:

x-.30(x)

Step-by-step explanation:

Answer:

It's the second one

Step-by-step explanation:

just read the paragraph careful

Answer:

Step-by-step explanation: