A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?
(4, 3.5)
(4, 3)
(3, 4)
(3.5, 4)

The complex number √-81-14 is best represented as 9i - √14 (option A)

Why is this correct?

In order to determine the correct notation for the complex number;

The square root of -81 yields the imaginary unit, [tex]\(i\)[/tex], multiplied by 9 (as [tex]\(\sqrt{-81} = 9i\)[/tex]).

The value -14 represents the real part of the complex number.

Hence, the precise notation that combines the imaginary and real parts of this complex number is 9i - √14.

Therefore, in a concise and accurate manner, the complex number √-81-14 is best represented as 9i - √14.

Complete question:

Which of the following is the correct notation for the complex number √-81-14

a) 9i - √14 b) √-81 + √-14 c) √-81 - 14i

The measures of angle N and O are: 34°

We know that Isosceles triangle has two equal sides and we also know that the sum of angles in a triangle is equal to 180 degrees.

Since an Isosceles triangle has two equal sides, we know that the base angles are equal.

We are given the apex angle as 112 degrees. Thus:

2x + 112 = 180

2x = 180 - 112

2x = 68

x = 34

Thus:

The measures of angle N and O are 34°

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The volume of a prism is given by:

Volume of a prism = base area * height

From the the problem, we have been given volume of the prism = 1360 feet^3

Base area = 160 feet^2

height = x

1360 =160 * x

x = 1360/160 = 8.5 feet

Height of the container = 8.5 feet

We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.

Trapezoid has height 3 cm and bases of 2 cm and 5 cm.

Hence, the area of the trapezoid is given by

[tex]A=\frac{a+b}{2} \times h\\ \\ A=\frac{2+5}{2} \times 3\\ \\ A=\frac{21}{2}[/tex]

Therefore, the volume of the right prism with height h=10 cm is given by

[tex]V=\text{Base area }\times { height}\\ \\ V=\frac{21}{2} \times 10\\ \\ V=105 cm^3[/tex]

Therefore, the volume of the right prism is 105 cubic centimeters.

Kiesha will have more than 97% of the products working. The experimental probability is 0.98, not 1/30 or 1/50. When the inventory is 4000 clocks, the prediction is that 3880 clocks will work.

To determine if Kiesha will have enough working clocks to please the manager, we need to calculate the percentage of clocks that are functioning properly. We know that 6 out of 300 clocks tested were not working, which means 300 - 6 = 294 clocks were working properly. The percentage of working clocks is (294/300) x 100% = 98%. This means that Kiesha will have more than 97% of the products working, so the statement 'Kiesha will have more than 97% of the products working' is true. The statement 'Kiesha’s experimental probability is 1/30' is false because the experimental probability is calculated by dividing the number of successful outcomes (294) by the total number of trials (300), giving 294/300 = 0.98. The statement 'Kiesha will not meet 97% because more than 3% of her clocks will be broken' is false because the percentage of working clocks is 98%. The statement 'Kiesha’s experimental probability is 1/50' is false because the experimental probability is 0.98, not 1/50. When the inventory is 4000 clocks, the prediction is that 97% of the clocks will work, which is (0.97 x 4000) = 3880 clocks.

Kiesha's experimental probability of a clock not working is 1/50, and with 98% of her clocks working properly, she will exceed her manager's 97% requirement. When scaled to an inventory of 4000 clocks, Kiesha can expect 3920 to be functioning correctly.

When analyzing Kiesha's prediction about her clocks, we find that if 6 out of 300 clocks are not functioning, then 294 clocks are working properly. To determine if Kiesha will have enough working clocks to please her manager (who requires 97% to be in working order), we calculate the percentage of working clocks:

294/300 = 0.98 or 98%

This is higher than the manager's requirement of 97%. Therefore, the following statements about Kiesha's prediction are true:

Thus Kiesha's prediction that she will meet the quality requirements is accurate.

A can build the room by himself in 10 days, and B can build the room by himself in 15 days.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's call the faster constructor "A" and the slower constructor "B".

We know that B takes 5 more days than A to complete the job.

Let's call the number of days it takes A to build the room "x".

Then the number of days it takes B to build the room is "x+5".

Now,

We also know that if they work together, they can finish the room in 6 days.

Let's call the fraction of the job that A can do in one day "a"

(which means that B can do "a - 1/6" of the job in one day).

We can use the following equation to solve for "a":

1 = (a + a - 1/6) x 6

Simplifying this equation, we get:

1 = (2a - 1/6) x 6

1 = 12a - 1

12a = 2

a = 1/6

So A can do 1/6 of the job in one day.

We can use this information to solve for "x" and "x+5":

1/x + (1/(x+5)) = 1/6

Multiplying both sides by the least common multiple of the denominators (6x (x+5) ), we get:

6 (x+5) + 6x = x (x+5)

Expanding and simplifying, we get:

x² - 7x - 30 = 0

Solving for x using the quadratic formula, we get:

x = 10 or x = -3

Since x has to be a positive number (because it represents the number of days it takes A to build the room), we can ignore the negative solution.

Now,

It takes A 10 days to build the room, and it takes B 15 days to build the room (since B takes 5 more days than A).

Therefore,

A can build the room by himself in 10 days, and B can build the room by himself in 15 days.

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You average across 4.6 minutes per customer.

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Your last five customer interactions lasted 2,3,6,8 and 4 minutes.

The total number of observation is 5.

The average = the sum of the observations / the number of observations.

The average = (2 + 3 + 4 + 6 + 8)/5

The average = 23/5

The average = 4.6 minutes.

Therefore, 4.6 minutes per customer is the average.

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Final answer:

Richard and Samantha should estimate yearly costs for non-monthly expenses, divide by 12, and save this amount each month, incorporating it as a fixed expense in their budget.

Explanation:

Richard and Samantha can account for non-monthly expenses in their monthly cash flow by setting aside money each month for these irregular expenses. To do this, they should estimate the total cost of these expenses for the year and divide that amount by 12. This will provide the monthly amount they need to save in order to cover costs such as car repairs and vacations without disrupting their budget. Each month, this amount should be treated like a fixed expense and set aside in a savings or separate account, ensuring that funds are available when these expenses occur.

Example:

Car Repairs: Estimated at $600 per year (divide by 12 = $50 per month)

Vacations: Estimated at $1200 per year (divide by 12 = $100 per month)

By including these estimated expenses in their monthly budget, they can create a more accurate and effective budget that accommodates all their financial activities throughout the year.

Answer:

3/8. + 1/3

9/24 +8/24

17/24

35/pi is a calculator question. A standard calculator has pi to about 10 digits stored in it's  memory. As an educated guess before doing it (according to the bible is just under 12 since pi is recorded as 3 in Kings I think).

Our calculators record pi as 3.141592654

35/pi = 11.14084602 which is just under 12. <<<<< answer

1

The mean absolute deviation is 1.6.

Given that the number of People per Household

1 6 2 4 4 3 5 5 2 8

We have to determine the mean absolute deviation

The mean absolute deviation is found by finding the mean, then finding how far each number is to the mean, then finding the mean of that.

The mean is: (1 + 6 + 2 + 4 + 4 + 3 + 5 + 5 + 2 + 8)/10 = 40/10 = 4

The distances of all of the numbers are

(absolute value of the difference between 3.5 and the number)

3,2, 2, 0, 0, 1, 1, 1, 2, 4

The mean of those is: 3+2+2+ 0+ 0+1+1+ 1+ 2+ 4 /10 = 16/10 = 1.6

Therefore the mean absolute deviation is 1.6.

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Answer:105cm to the power of three

Step-by-step explanation:

Inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.

" Inequality is defined as the algebraic expression which relates the given variables as per the condition with the sign of inequality <,> , ≤, ≥."

According to the question,

Given,

Number on the number line = 07.06

Number on number line with open circle = 9

Inequality shown on the number line drawn we get,

Condition : shaded to the left

Inequality as per the condition: x < 9

Hence, inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.

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To simplify 5√180, break down 180 into its prime factors, take out the square of the prime factors, and simplify.

To simplify 5√180, we can break down 180 into its prime factors which are 2^2 * 3^2 * 5. Then, we can take out the square of the prime factors since we have a square root. This leaves us with 2 * 3 * 5√5. Simplifying further, we get 30√5.

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