What is the midpoint of (5,5) and (-3,-5)t

Answer:

y = 2/3x + 4

Step-by-step explanation:

Answer:

y = -3/2x + 4

Step-by-step explanation:

y = mx + b

y-intercept is (0, 4) so b = 4

y = mx + 4

For (2, 1)

1 = m2 + 4

2m = -3

m = -3/2

so

y = -3/2x + 4

According to the data, it can be established that the game of Scrabble is popular and successful around the world.

To conclude on a subject we must analyze the data that exists and establish a statement that summarizes these data including our opinion. In this case we can state that the game of Scrabble has been very popular all over the world which has caused it to sell billions of units.

Additionally, we can affirm that it is very successful and popular all over the world because it has been translated into 29 languages, which indicates that this game is suitable for different cultures.

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Answer: 1407.62

Step-by-step explanation: \(625(1 + 0.07)^{12} = 1407.62\)

The expression for the area under the curve y = x^3 from 0 to 1, as a limit, is A = 1/4.

(a) To find an expression for the area under the curve y = x^3 from 0 to 1 using Definition 2, we need to approximate the area using a sum and then take the limit as the number of approximating rectangles approaches infinity.

Let's divide the interval [0, 1] into n equal subintervals. The width of each subinterval will be Δx = 1/n. We can choose any point within each subinterval as the representative x-value for that subinterval. Let's choose the right endpoint of each subinterval as our representative x-value.

The right endpoint of the ith subinterval will be x_i = iΔx = i/n, where i ranges from 1 to n. The corresponding y-value for each x_i is y_i = (i/n)^3.

The area of each rectangle can be approximated as the product of the width and height of the rectangle, which is ΔA_i = Δx  y_i = (1/n)  (i/n)^3.

The total area under the curve can be approximated by summing up the areas of all the rectangles:

A = Σ(ΔA_i) = Σ[(1/n)  (i/n)^3] for i = 1 to n.

(b) The formula given in Appendix E states that the sum of the cubes of the first n integers is [n(n+1)/2]^2. Therefore, we have:

1^3 + 2^3 + 3^3 + ... + n^3 = [n(n+1)/2]^2.

Using this formula, we can rewrite the expression for the area under the curve as a limit:

A ≈ Σ[(1/n)  (i/n)^3] for i = 1 to n

= (1/n^4)  [1^3 + 2^3 + 3^3 + ... + n^3]

= (1/n^4)  [n(n+1)/2]^2.

Taking the limit as n approaches infinity, we have:

A = lim(n→∞) [(1/n^4) [n(n+1)/2]^2]

= lim(n→∞) [(n^2(n+1)/2)^2 / n^4]

= lim(n→∞) [(n^4 + 2n^3 + n^2) / 4n^2]

= lim(n→∞) [(1 + 2/n + 1/n^2) / 4]

= (1 + 0 + 0) / 4

= 1/4.

Therefore, the expression for the area under the curve y = x^3 from 0 to 1, as a limit, is A = 1/4.

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Answer:

46655

Step-by-step explanation:

\(75250 \cdot \frac{62}{100} = 46655\)

Answer:

Step-by-step explanation:

4

Answer:

3.71 probability

Answer:

1 minute and 15 seconds

Step-by-step explanation:

Let's start by finding how long it takes Mike to play one full song.

If Mike plays 1/5 of a song in 1/4 of a minute, then he plays 1/5 x 4/1 = 4/5 of a song in one minute (by multiplying the numerator and denominator of 1/5 by 4/1).

To find how long it takes to play one full song, we can set up a proportion:

4/5 of a song is played in 1 minute

1 full song is played in x minutes

We can cross-multiply to solve for x:

4/5 = 1/x

Multiplying both sides by x:

4/5 * x = 1

Dividing both sides by 4/5:

x = 5/4 = 1.25

Therefore, it takes Mike 1.25 minutes, or 1 minute and 15 seconds, to play one full song.

Answer:

(4x+3iy)(4x−3iy)

Step-by-step explanation:

We have a^2 + b^2

Over  the complex number, this is equal to

(a-bi) (a+bi)

(4x -3yi) (4x+3yi)

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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Answer: The converse of this theorem is also true; that is, if two lines n and m are cut by a transversal so that the alternate interior angles are congruent, then n║m.

Step-by-step explanation:

What does it mean converse in geometry?

The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." The converse of "if p, then q" is "if q, then p."

So, in the figure below, if we can choose n║m, then ∠1≅∠2

Since  n║m , by the corresponding Angles Postulate,

∠1≅∠2.

Therefore, by the definition of congruent angles,

m∠1=m∠2

Since ∠1 and ∠2 form a linear pair, they are supplementary, so

m∠1+m∠2=180°.

Therefore, the converse of this theorem is also true; that is, if two lines n and m are cut by a transversal so that the alternate interior angles are congruent, then n║m.

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Answer:

24

Step-by-step explanation:

3^3=27

27-3=24

Answer:

value of g(3) is 24

Step-by-step explanation:

3^3 which also equals 27 -3 which has a total of 24

The length HI in the quadrilateral is 63.7 units.

A quadrilateral is a polygon with 4 sides. The quadrilateral BCDE is similar to quadrilateral FGHI.

Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same and the corresponding sides are a ratio of each other.

Therefore,

18 / HI = 13 / 46

cross multiply

46 × 18 = 13 HI

828 = 13HI

divide both sides by 13

HI = 828 / 13

HI = 63.6923076923

Therefore,

HI = 63.7 units

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Answer: option 1. -3/4

Step-by-step explanation:

coefficient: the number before a variable (but must be bounded with it)

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

-3/4 a

coefficient: -3/4 (-3/4a)

Hope this helps!! :)

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The estimated present value over an 8-year period, with an interest rate of 10%, is approximately $59,752.

To find the present value over an 8-year period with an interest rate of 10%, we need to calculate the present value of the cash flows.For the first four years, the annual sales are $10,000. We can calculate the present value of these cash flows as follows:

PV1 = 10,000 / (1 + 0.10)^1

PV2 = 10,000 / (1 + 0.10)^2

PV3 = 10,000 / (1 + 0.10)^3

PV4 = 10,000 / (1 + 0.10)^4

From year 5 onwards, the annual sales increase by $800 per year. We can calculate the present value of these increasing cash flows using the perpetuity formula:

PV5 = 800 / 0.10

PV6 = 800 / (1 + 0.10)^1

PV7 = 800 / (1 + 0.10)^2

PV8 = 800 / (1 + 0.10)^3

Finally, we sum up all the present values to obtain the total present value over the 8-year period:

Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + PV6 + PV7 + PV8

Evaluating this expression, we get:

Total PV ≈ 59,752

Therefore, the estimated present value over the 8-year period, rounded to the nearest answer, is 59,752.

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ANSWER

p = 6

EXPLANATION

Given:

1 + 3p = 19

Desired Outcome:

The value of P.

Solve for P

1 + 3p = 19

Subtract 1 from both sides

1 + 3p - 1 = 19 - 1

3p = 18

Divide both sides by 3

3p/3 = 18/3

p = 6.

Hence, the value of p = 6.

There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:

3÷1/2 = 3*2 = 6 cups of ketchup per cup of mustard

Answer:

6 mm  slope 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since,

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

The Seed, where the range is 100, is the initial value of an algorithm used to produce a set of numbers.

Difference between the greatest and lowest value is referred to as the range. To get the range, find the variable's greatest observed value and deduct its lowest observed value. The data points in the center of the distribution are not taken into account; the range only considers these two values. Between the lowest and greatest values, there is a range of values. Values at each end of the range make up the range. Use the data set 4, 6, 10, 15, 18 as an example. Its range is 18-4 = 14, and its minimum and maximum values are 4, 4, and 4.

The term "seed" refers to the initial value of an algorithm used to produce a set of integers.

\(20, 25, 30, 45, 55, 90, 110,115,120\)

Range = 120 - 20 = 100

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a) To find the elements of the set \(XY\), we need to concatenate each element of \(X\) with each element of \(Y\  b) To list the elements of \(X^*\) of length 4 or less, we need to consider all possible combinations of elements from \(X\) with repetition.

Since the maximum length is 4, we can have elements with lengths 1, 2, 3, or 4. The elements of \(X^*\) are:

where ε represents the empty string.

c) To provide a regular expression for \(X^*\), we can represent the elements of \(X^*\) using the alternation operator \(+\). The regular expression for \(X^*\) is:

This regular expression matches any combination of elements from \(X\) including the empty string.

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The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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Answer:

1216 kg

Step-by-step explanation:

19/8 = 9.5

128 x 9.5 = 1216

Answer:

The image does not pop up for me because im on a laptop so im sorry

Step-by-step explanation:

i kinda just need point

The translation 1 unit left of f ( x ) =–7x+10  then g(x) is -7x + 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in its range(involving values of y) or in its domain(involving values of x).

The up and down movements are in the vertical direction by the y coordinate.

The left and right movements are in the horizontal direction by the x coordinate.

When translating a graph, adding units moves the graph to the left, and eliminating units moves the graph to the right.

hence we say that;

f(x) = –7x+10

g(x) = f(x + 1)

= –7(x + 1)+10

= -7x - 7 + 10

= -7x + 3

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Answer:

20 cents for 1oz

Step-by-step explanation:

find the rate

1.6/8=0.2

so 20 cents

Answer:

  A.  The volumes are the same, based on Cavalieri's principle.

Step-by-step explanation:

Cavalieri's principle tells us the volumes of solids will be identical if their cross sectional areas are identical at every height.

A right cylinder and an oblique cylinder of the same height and radius will both have circular cross sections of the given radius at any height. Since the radius is the same, the area of the circle is the same. Hence the requirements of Cavalieri's principle are met, and the cylinders have the same volume.

For the principal power A = (3i)^(3i), we need to determine which of the following statements are true: |A| > 1, |A| = 27i, |A| = 27, and |A| < 1.

To evaluate the principal power A = (3i)^(3i), we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x). In this case, A = (3i)^(3i) can be rewritten as A = e^(ln(3i) * 3i).

First, let's calculate the value of ln(3i). Using the properties of logarithms, we have ln(3i) = ln(3) + i * arg(3i), where arg(3i) is the argument of 3i. Since 3i lies on the positive imaginary axis, the argument is π/2. Therefore, ln(3i) = ln(3) + i * (π/2).

Now, substituting this value into A = e^(ln(3i) * 3i), we get A = e^[(ln(3) + i * (π/2)) * 3i]. By simplifying further, A = e^(3i * ln(3)) * e^(-3 * (π/2)).

To determine the modulus |A|, we consider the absolute value of the exponential term. Since e^(-3 * (π/2)) is a real number, its absolute value is greater than or equal to 1. Therefore, |A| = |e^(3i * ln(3))| > 1.

From the given statements, the only true statement is |A| > 1. The other statements |A| = 27i, |A| = 27, and |A| < 1 are not correct in this case.

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