What is the absolute value of the complex number?

Answer:

The 9th term is 30

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

Use nth term equation:

We have:

And we need to find the 9th term.

Write the given terms as below and solve for d:

Subtract the first equation  from the second:

The first term is:

Find 9th term:

Answer:

The 9th term is 30

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

you just need to see this video

how I learned

Answer:

The simple answer to your question is that so you can find the roots. It is very common to need to know when an equation (quadratic or other) is equal to zero. That is why you set it to zero and solve.

Step-by-step explanation:

hope this helps

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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By taking a quotient between correspondent side lengths, we will see that the scale factor of the dilation applied to the quadrilateral is S = 4.

The scale factor of the dilation is given by the quotient between the length of one of the sides of the dilated figure and the length of the correspondent side of the original figure.

Here the original figure is the smaller quadrilateral, and the dilated figure is the larger one

If we select the top side, the length on the dilated figure is 72 inches, and the length of that side on the original figure is 18 inches, then the scale factor of the dilation is given by:

S = 72in/18in = 4

The scale factor of the dilation is 4.

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The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

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Answer:

7

Step-by-step explanation:

2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b

-3b + 3b cancells out to 0 so it leaves the final answer to 7

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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The correlation coefficient would decrease to a value lower than r = 0.41 if the outlier (18, 78) is removed from the data set.

The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. Removing an outlier from the data can affect the correlation coefficient because it changes the overall pattern of the data.

In this case, the outlier (18, 78) appears to be an extreme value that doesn't follow the general trend of the other data points, which are more closely clustered around the line of best fit.

When the outlier is removed, the remaining data points are likely to be more closely correlated, which will result in a lower correlation coefficient. Therefore, removing the outlier from the data set will cause the correlation coefficient to decrease to a value lower than r = 0.41.

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Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

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Answer:

17.5

Step-by-step explanation:

i did the math and also im never wrong swear on got thats the annswer

Answer:

10000000000000000000000,

the next number: 1-934028049747284

that's all

pls report

thanks!))))

Step-by-step explanation:

Answer:16x16

Step-by-step explanation:

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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Sample size is needed for the interval to have a margin of error of 0.02 is 2367.

Sample size is needed for the interval to have a margin of error of 0.05 is 379.

Margin of error,

ME = 0.02

p = 0.56

α =1- 0.95 = 0.05

critical value,

critical value at α= 0.05 is

Zα/2 = 1.96

Now,

formula for the sample size needed to estimate a population proportion is

n = (Zα/2)²p(1-p)/ME²

=( 1.96 )^2 x ( 0.56 (1- 0.56 ))/( 0.02 )^2

= 2366.4256

therefore, required sample size is n = 2367.

Margin of error,

ME = 0.05

p = 0.56

α =1- 0.95 = 0.05

critical value,

critical value at α= 0.05 is

Zα/2 = 1.96

Now,

formula for the sample size needed to estimate a population proportion is,

n = (Zα/2)²p(1-p)/ME²

=( 1.96 )^2 x ( 0.56 (1- 0.56 ))/( 0.05 )^2

= 378.6281

therefore, required sample size is n = 379.

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Each of the other three clerks have to complete 3 reports each.

The top employee finishes 40% of the reports, or: 0.40 x 15 = 6 reports.

Therefore, the other three clerks must finish the remaining 60% of the reports.

Total reports to be completed by the other clerks = 0.60 x 15 = 9 reports

We may distribute the remaining reports evenly among the other clerks since they all have an equal number of reports to complete:

Number of reports each of the other clerks have to complete = 9 reports ÷ 3 clerks = 3 reports

Therefore, each of the other three clerks have to complete 3 reports each.

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Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

Answer:

The Binomial model is inappropriate because the Trials are independent of each other

Step-by-step explanation:

Given data :

probability of a company started by a person  failing with 2 years = 0.3

14 start-ups ( 98 people ) are followed for 2 years

The probability that at least 42 of these 98 people will fail in 2 years

Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail

The Binomial model is inappropriate because the Trials are independent of each other

Answer:

neither

Step-by-step explanation:

is a diagonal line

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer:

Use the pyhtagora's theorem

Answer:

y = 1/3x + 6

Step-by-step explanation:

Format the given line into slope-intercept form:

y = -3x + 5

Perpendicular lines have a reversed sign and reciprocal slope:

y = 1/3x + b

Plug in the points:

3 = (-9) * 1/3 + b

3 = -3 + b

b = 6

Plug in b:

y = 1/3x + 6

Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

Answer:

1300 ppl

Step-by-step explanation:

35%  = .35 in decimal

.35 x =455

x = 455/.35 = 1300 ppl

The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Answer: Jake is 9 and his dad is 33.

Step-by-step explanation: 9x3=27+6=33 9+33=42

Answer:

Jake is 9 and Jake's dad is 33

Step-by-step explanation:

To solve this we need to create a equation where D is the age of Jake's dad and J is the age of Jake

J+D=42

3J+6=D

Solve by substitution

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.