what is the most likely conclusion that can be drawn about how this table would look in december 2013?

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7

To solve the equation g^(-1)(x) = 5x, we need to find the inverse function of g and then substitute it into the equation. The inverse function of g, denoted as g^(-1), can be found by interchanging the roles of x and y in the original function g(x). Once we have the inverse function, we substitute it into the equation and solve for x.

Let's denote the inverse function of g(x) as g^(-1)(x). To find g^(-1)(x), we interchange the roles of x and y in the original function g(x), so g^(-1)(x) = y.

Next, we substitute y into the equation g^(-1)(x) = 5x, which gives us y = 5x. Now, we replace y with g^(-1)(x), resulting in g^(-1)(x) = 5x.

To solve for x, we need to isolate x. We can do this by applying the inverse operation to both sides of the equation. Dividing both sides by 5, we obtain g^(-1)(x) / 5 = x.

Therefore, the solution to the equation g^(-1)(x) = 5x is x = g^(-1)(x) / 5.

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Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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The length of the rectangular  playground is 241.86 foot.

Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.

Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.

A=LW

As given A= 19,500 sq.ft and considering L=3W,

19,500 = 3W*W

19,500 = 3W^2

∴ W^2 = 6500

∴ W = \(\sqrt{6500}\)

∴ W = 80.6225 ft. ≈ 80.62 ft.

Now putting the value W = 80.62 in equation L =3W,

L = 3* 80.62

L = 241.86 ft.

The length of the rectangular playground is 241.86 foot.

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Answer:

vertically opposite angles

◗ 　They are vertically opposite angles.

For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

For the given data set of 4, 16, 22, 24, and 26, the better measure of center would be the median, and the better measure of spread would be the interquartile range (IQR). The correct answer is A and B.

A. The interquartile range (IQR) is a measure of spread that represents the range between the first quartile (Q1) and the third quartile (Q3) of the data. It provides a robust measure of spread that is less affected by outliers. In this case, the IQR can be calculated by finding Q1 and Q3 and taking the difference between them.

B. The median is the value that separates the data set into two equal halves, with half of the values above and half below it. It is a good measure of center for skewed or non-normally distributed data as it is less affected by extreme values.

C. The mean is another measure of center, calculated by summing all the values and dividing by the number of observations. However, in this case, the data set does not show any specific need to use the mean as it is not skewed or heavily influenced by outliers.

D. The standard deviation measures the spread of data around the mean. While it is a useful measure, the IQR is more appropriate in this case since it provides a robust measure of spread.

Therefore, the correct answer is A and B.

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Answers:

x > 9

Graph has open circle

Arrow points to the right

======================================

Reason:

Add 7 to both sides to go from the original inequality to 9 < x, which is the same as x > 9

The graph will involve an open circle at 9. We don't include this endpoint because there isn't "or equal to" in the inequality sign.

We shade to the right due to the "greater than"

This visually shows all values larger than 9.

Answer:

In the third month, Becca walks 7 dogs.

The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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Answer:

65

Step-by-step explanation:

Triangles are 180 degrees in total. If you add the degrees that are known, 62 and 53, you get 115. Then you would do 180-115, which is 65. 65 would be the value of x. Hope this helps!

The partial sum, S8, of the geometric sequence with a = 3 and r = 4 can be found using the formula Sg = a(1 - r^g)/(1 - r). The value of S8 is 3(1 - 4^8)/(1 - 4). Therefore, the value of S8, the partial sum of the geometric sequence is 65,535.

To find the partial sum, Sg, of a geometric sequence, we can use the formula Sg = a(1 - r^g)/(1 - r), where "a" is the first term of the sequence, "r" is the common ratio, and "g" is the number of terms being summed.

In this case, we are given that a = 3, r = 4, and we need to find S8, which represents the sum of the first 8 terms.

Using the formula for Sg, we can substitute the given values into the formula:

S8 = 3(1 - 4^8)/(1 - 4).

Evaluating the expression inside the parentheses, we have 4^8 = 65,536. Simplifying further:

S8 = 3(1 - 65,536)/(1 - 4),

= 3(-65,535)/(-3),

= 65,535.

Therefore, the value of S8, the partial sum of the geometric sequence with a = 3 and r = 4, is 65,535.

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Answer:

answer A

Step-by-step explanation:

Hello,

\((fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11\)

so the correct answer is A.

hope this helps

Answer:

A.  6x + 11.

Step-by-step explanation:

(f o g)(x)

We replace the x in f(c) by g(x) and simplify:

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11.

Zeros:

x = -11

x = 11

Positive zero: 11

Answer:

m∠G= 180° - ( 59+77 )°

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

7x-3x= 32

4x=32

/4    /4

x= 8

Answer:

d) 73 m

Step-by-step explanation:

From the Question, we are told that:

Maya is finding the area of the shaded triangle below.

A triangle has a base of 73 meters and a height of 10 meters.

If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?

The area of a triangle = 1/2 × Base × Height

We are already told the base of the triangle from the question and this is 73 m

Option D, 73 m is the correct answer

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

\(m_1=\dfrac{1-3}{5-(-5)}\)

\(m_1=\dfrac{-2}{5+5}\)

\(m_1=\dfrac{-2}{10}\)

\(m_1=\dfrac{-1}{5}\)

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

\(m_2=\dfrac{-4-(-2)}{0-(-4)}\)

\(m_2=\dfrac{-4+2}{0+4}\)

\(m_2=\dfrac{-2}{4}\)

\(m_2=\dfrac{-1}{2}\)

Slopes of two parallel lines are equal.

\(m_1\neq m_2\)

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020

Answer:

1. Jamaal

2. 42 more dishes

Step-by-step explanation:

1. Jamaal: 25 dishes per hour and works for 3 hours

25(3) = 75 dishes

Daniel: Daniel can wash 22 dishes every two hours.

22 = 2x

11 = x

11(3) = 33 dishes

2. 75 - 33 = 42

Jamaal can wash 42 more dishes than Daniel.

Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Jamaal washed 42 more dishes than Daniel in 3 hours.

Let's calculate the number of dishes washed by each person in 3 hours and then compare the results.

Jamaal:

Jamaal washes 25 dishes per hour and works for 3 hours.

Number of dishes washed by Jamaal in 3 hours = 25 dishes/hour * 3 hours = 75 dishes

Daniel:

Daniel washes 22 dishes every two hours.

To find the number of dishes washed by Daniel in 3 hours, we need to find how many times he washes dishes in 3 hours.

Number of times Daniel washes dishes in 3 hours = 3 hours / 2 hours (time for 1 cycle) = 1.5 cycles

Now, multiply the number of cycles by the number of dishes washed per cycle:

Number of dishes washed by Daniel in 3 hours = 1.5 cycles * 22 dishes/cycle = 33 dishes

Comparison:

Jamaal washed 75 dishes in 3 hours.

Daniel washed 33 dishes in 3 hours.

Now, let's find the difference in the number of dishes washed by each person:

Difference = Jamaal's dishes - Daniel's dishes

Difference = 75 dishes - 33 dishes = 42 dishes

Therefore, Jamaal washed 42 more dishes than Daniel in 3 hours.

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Answer:

see explanation

Step-by-step explanation:

the legs and diagonals of an isosceles trapezoid are congruent , then

EH = FG ( substitute values )

4x - 27 = x + 9 ( subtract x from both sides )

3x - 27 = 9 ( add 27 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

and

FH = EG ( substitute values )

11y - 21 = 3y + 19 ( subtract 3y from both sides )

8y - 21 = 19 ( add 21 to both sides )

8y = 40 ( divide both sides by 8 )

y = 5

Then

EH = 4x - 27 = 4(12) - 27 = 48 - 27 = 21

EG = 3y + 19 = 3(5) + 19 = 15 + 19 = 34

By following shown steps, you can identify which switch controls each bulb.

To determine which switch is for each bulb, you can follow these steps:

1. Label the switches as Switch 1, Switch 2, and Switch 3.
2. Turn on Switch 1 and leave it on for a few minutes.
3. After a few minutes, turn off Switch 1 and turn on Switch 2.
4. Now, enter the room with the bulbs and observe them.
5. If one of the bulbs is on, then it is connected to Switch 2.
6. If none of the bulbs are on, then it means the bulb that is currently off is connected to Switch 2.
7. Now, feel the temperature of the remaining bulbs. The bulb that is warm is connected to Switch 1, and the bulb that is cold is connected to Switch 3.
8. Finally, you will have determined which switch is for each bulb.

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9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

Find a coordinate of a point and its image. k is the ratio of those.

Here, it is easy to use the y-coordinate of J and J'.

  Jy = -1

  J'y = -2

k = J'y/Jy = -2/-1 = 2

The scale factor k is 2.

Answer:

The onion skin math method helps you understand

Step-by-step explanation:

I love you, y

Answer:

\(m=\frac{-5}{3}\)

Step-by-step explanation:

We want to find the slope between the points (-2,5) and (1,0).

The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.

We are already given the values of the points, but let's label their values to avoid any confusion and mistakes.

\(x_1=-2\\y_1=5\\x_2=1\\y_2=0\)

Now, substitute into the formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-5}{1--2}\)

Simplify this to:

\(m=\frac{0-5}{1+2}\)

\(m=\frac{-5}{3}\)

The slope is -5/3.

By the principle of mathematical induction, we have proved that P(n) is true for all positive integers n, which completes the proof.

Let P(n) be the statement "If n straight lines are drawn in the plane, the regions formed can be colored with two colors in such a way that no two regions that share a common edge have the same color."

Base case: P(1) is true, as there is only one line and it divides the plane into two regions that can be colored with two different colors.

Inductive hypothesis: Assume P(k) is true for some arbitrary value of k, where k is a positive integer. That is, we assume that if k straight lines are drawn in the plane, the regions formed can be colored with two colors in such a way that no two regions that share a common edge have the same color.

Inductive step: We want to prove that P(k+1) is true, i.e., if (k+1) straight lines are drawn in the plane, the regions formed can be colored with two colors in such a way that no two regions that share a common edge have the same color.

Consider the (k+1)th line. It intersects the existing k lines in k+1 points, dividing the plane into k+2 regions. We can choose one of these regions to be unbounded and assign it one color, say white. We can then color the remaining k+1 regions with two colors (white and black) such that no two regions that share a common edge have the same color, by using the coloring scheme for P(k) that we assumed to be true.

Now we have colored k+2 regions in total, with no two adjacent regions sharing the same color. Therefore, P(k+1) is true.

Hence, By the principle of mathematical induction, we have proved that P(n) is true for all positive integers n, which completes the proof.

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Complete questions:

Use mathematical induction to show that if you draw lines in the plane you only need two colors to color the regions formed so that no two regions that have an edge in common have a common color.

Answer:

46$ in total

y=2r+20

If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.

This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.

So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.

For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.

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Answer:

its B its like the only one that makes sence

The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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The inverse of a biconditional statement is not equivalent to the original statement. The inverse statement may have a different meaning or convey a different condition.

The inverse of a biconditional statement involves negating both the "if" and the "only if" parts of the statement. In this case, the inverse of the biconditional statement would be:Inverse of Statement 1: A figure is not a polygon if and only if not all of its sides are line segments.

Now, let's analyze the relationship between Statement 2 and its inverse.

Statement 2: A figure is not a polygon if and only if not all of its sides are line segments.

Inverse of Statement 2: A figure is not a polygon if and only if all of its sides are line segments.

The inverse of Statement 2 is not equivalent to Statement 1. In fact, the inverse of Statement 2 is a different statement altogether. It states that a figure is not a polygon if and only if all of its sides are line segments. This means that if all of the sides of a figure are line segments, then it is not considered a polygon.

In contrast, Statement 1 states that a figure is a polygon if and only if all of its sides are line segments. It affirms the condition for a figure to be considered a polygon, stating that if all of its sides are line segments, then it is indeed a polygon.

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