True or False To find the circumference of a circle you multiply the diameter by pi

The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.

The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.

A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.

Therefore, the statement is not compound.

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The amount Lisa has in the account after 3 years is; 488.28.

The amount Xavier has in the account after 3 years is; 492.08.

The positive difference in their account after 3 years is; 4.20.

It follows from the task content that Lisa savings as described is modelled by the function;

F (x) = 250(1.25)^x

1. It therefore follows that the amount Lisa would have in the account after 3 years would be;

F(3) = 250 (1.25)³

F(3) = 250 × 1.953125

F(3) = 488.28125.

Hence, when rounded to the nearest hundredth; we have; F(3) = 488.28.

2. Also, the amount Xavier has after 3 years can be determined from the table as; 492.08.

3. The positive difference can therefore be determined as; | 492.08 - 488.28 | = 4.20.

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BD =√30 +√30

BD = 2√30

Here you go

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

Answer:

Step-by-step explanation:

For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:

f(x) = 7(3/14) + 2

f(x) = 21/14 + 2

f(x) = 49/14

f(x) = 7/2

For part b, we take the input of -3 into the second function and solve the equation:

h(x) = 4(-3)^2

h(x) = 4(9)

h(x) = 36

For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.

True, If the end index for slicing specifies a location after the end of the alphabet, Python will use the list's length instead.

What is slicing?

In Python, there is a concept of string, list and tuples. Sometimes it is required to access part of those string, list and tuples. This is known as slicing.

In case of slicing, suppose the the end index specifies a position beyond the end of the list, Python will return to the default length of the string. So there will be no error if the end index specifies a position beyond the end of the list.

So the above sentence is a true sentence.

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Answer: -4

Step-by-step explanation:

-2+3-5=-4

I HOPE THIS HELPS!!!!

The values of the expressions, obtained by the combination of the functions, f(x), g(x), and h(x), and found by plugging in the values of the specified function at the indicated value of x are;

17. g(9) + h(-14) = 15

19. (1/2)·g(-6) + f(-2) = -22

21. x = -12

A function defines the relationship between an input variable and an output variable, such that each input produces only one value of the output.

The functions, f(x), g(x), and h(x), are defined as follows;

f(x) = -x² + 8·x - 11

\(g(x) =14-\dfrac{2}{3} \cdot x\)

h(x) = -x - 7

17. The value of g(9) can be found by plugging x = 9, in the function for g(x) as follows;

\(g(9) =14-\dfrac{2}{3} \times 9= 8\)

g(9) = 8

Similarly, the value of h(-14), can be found by plugging in x = -14, in the function for h(x) as follows;

h(-14) = -(-14) - 7 = 7

h(-14) = 7

Therefore, g(9) + h(-14) = 8 + 7 = 15

19. The value of g(-6), can be found as follows;

\(g(-6) =14-\dfrac{2}{3} \times (-6)= 18\)

g(-6) = 18

Similarly, for f(-2), we get;

f(-2) = -(-2)² + 8 × (-2) - 11 = -31

Therefore;

\(\dfrac{1}{2}\cdot g(-6) +f(-2) = \dfrac{1}{2} \times 18 + (-31) = 9 - 31 = -22\)

21.  h(x) = -x - 14

If the value of h(x) = -2, we get;

h(x) = -2 = -x - 14

14 - 2 = -x

-x = 12 (symmetric property)

Dividing both sides by (-1), we get;

-x/(-1) = x = 12/(-1) = -12

x = -12

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Answer:

(a+b)(a-b) = a^2 - b^2

Step-by-step explanation:

Answer:

\(a^{2} -b^{2}\)

Step-by-step explanation:

There are 256 possible outcomes for the string of 8 heads/tails that can be produced when flipping a coin eight times.

When a coin is flipped eight times, there are two possible outcomes for each individual flip: heads or tails.

Since each flip has two possibilities, the total number of possible outcomes for eight flips can be calculated by multiplying the number of possibilities for each flip together.

Therefore, the number of possible outcomes for eight coin flips is:

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2^8 = 256

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Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.

It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.

Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.

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Answer:

Step-by-step explanation:

\(\text{Equation of parabola in vertex form,}\\\\~~~~~~~~~y = a(x-h)^2 +k\\\\\implies 26 = a(1+2)^2 -1~~~~~~~~;[(x,y) = (1,26)~ \text{and}~ (h,k) = (-2,-1)]\\\\\implies 26 = 9a -1\\\\\implies 9a = 26+1\\\\\implies 9a = 27\\\\\implies a = \dfrac{27} 9 \\\\\implies a = 3\\\\\text{Now,}\\\\~~~~~~~~y = 3(x+2)^2 -1~~~~~~~~~~;[\text{Vertex form.}]\\\\\implies y=3(x^2 +4x +4) -1\\\\\implies y = 3x^2 +12x +12 -1 \\\\\implies y=3x^2 +12x+11~~~~~~~~;[\text{Standard form.}]\)

A boxplot represents the distribution of data using a five number summary

From the male's boxplot, we have the following data elements

The IQR is then calculated as:

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2

IQR = 12

Hence, the IQR for the males' data is 12

From the boxplots, we have:

The difference (d) between the median values is

d = 18 - 10

d = 8

Hence, the difference between the median values of each data set is 8

The male's data has an outlier, while the female's data does not have any outlier

Hence, the median is a better measure of center for the male's data, while the mean is a better measure of center for the female's data

A possible reason for outliers is sampling problems

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Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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The value of x that will make the equation of the model true is: x = 5.8.

Create an equation using the model given, then isolate the variable in order to determine its value, which will make the equation true.

Given the model above, the following equation would be created below:

x + x + 9.4 = 21

Combine like terms

2x + 9.4 = 21

Subtract 9.4 from both sides

2x + 94 - 9.4 = 21 - 9.4 [subtraction property of equality]

2x = 11.6

Divide both sides by 2:

2x/2 = 11.6/2 [division property of equality]

x = 5.8

The value of x is: 5.8.

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Step-by-step explanation:

Assuming that the company only consists of men and women, then the ratio of women to the total number of employees in the company is 5 : (7 + 5) = 5 : 12.

Since there are 140 women working for the company, there are 140 * 12/5 = 336 employees.

If the linear dimensions of the cube double, the total electric flux through the cubic surface will double as well.

The total electric flux through a closed surface is equal to the charge enclosed within the surface divided by the permittivity of free space. The electric flux is given by the dot product of the electric field and the area vector of the surface, integrated over the surface.

When the linear dimensions of a cube double, the surface area of the cube increases by a factor of eight (2^3). This means that there is more surface area over which to integrate the electric flux, and therefore the total electric flux through the surface increases. However, the electric field inside the cube does not change when the dimensions double.

Therefore, the total electric flux through the surface increases as the cube's dimensions double, because there is more surface area over which to integrate the constant electric field. The increase in total electric flux is proportional to the increase in surface area, which is a factor of eight.

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Paragraph represents the contain of venn diagram:

Drama and other fiction are similar in many ways.

Drama and other fiction are alike because they both have characters, dialogue and written for people to enjoy.

In some ways, Drama and other fiction are different.

Drama and other fiction are different because drama is scenes and acts, actors perform, and the goal is to make audience enjoy, while other fiction is in the form of paragraph and chapters, no actor needed to perform, basically no performance - just let the people read the text.

In reading the Venn diagram, pay attention to the universal set and other sets that are in the Venn diagram. The members of a given set are on a curve bounded by that set.

From the Venn diagram above, it can be seen that the area in the middle is called the slice area. This means that it has the same area on the right and left. In this case "Drama" and "other fiction", both of them have in common, namely:

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Answer:

The coordinates of P are (1,0)

Step-by-step explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

\(\displaystyle x_m=\frac{x_1+x_2}{2}\)

\(\displaystyle y_m=\frac{y_1+y_2}{2}\)

We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).

Calculate the midpoint:

\(\displaystyle x_m=\frac{-2+4}{2}=1\)

\(\displaystyle y_m=\frac{1-1}{2}=0\)

Thus, the coordinates of P are (1,0)

Note the midpoint does not lie on the y-axis but on the x-axis.

Answer:

Step-by-step explanation:

3/18 + (-14/18)= -11/18

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

4 blocks down, 2 left

Step-by-step explanation:

Answer:

y = -3x + 4

Step-by-step explanation:

y = 4, this is where your line intersects with the y axis.

x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.

Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.

Then goes your y axis, so the final equation is

y= -3x + 4

I hope this helped!

Thus, The P-value is 0.0386. Reject the null hypothesis that there is no difference in the GPAs.

Based on the given information, the university is comparing the grade point averages of theater majors with the grade point averages of history majors.

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Answer:

A

Step-by-step explanation:

Find the boundary line and shade the area related.

profit margin does the stadium anticipate for this year 575050

Given,

This year, a stadium manager has booked five performances with a projected aggregate revenue of $1,050,050.

Profit: 1000 - 425 (85 x 5) = 575

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Set up as a system of equations,

Let x represent the number of 4 credit courses and y represent the 3 credit courses.

The total number of courses the student took was 15. So we can say\(x+y=15\)

The total credits earned was 54. So we can say, \(4x+3y=54\)

Now we have the following system of equations, solve for the value of x.

\(\left \{ {{x+y=15} \atop {4x+3y=54}} \right.\)

Take the top equation and solving for y. We get,

=> \(x+y=15\)

=>\(y=15-x\)

Take the value of y above and plug it into the second equation.

=> \(4x+3y=54\)

=> \(4x+3(15-x)=54\)

=> \(4x+45-3x=54\)

=> \(x+45=54\)

=> \(x=54-45\)

=> \(x=9\)

Thus, the student took 9, 4 credit classes.