The system of equations 3x – 6y = 20 and 2x – 4y = 3 isA. inconsistent.B. dependent.C. consistent.D. independent.

Answers

Answer 1

Answer: d independent all day

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Bob’s employer covers 23% of his family’s annual health insurance premium. The balance of the premium is deducted in equal amounts from Bob’s paycheck 26 times over the calendar year. If $185.30 is withheld from each of Bob’s paychecks, what is his family’s annual health insurance premium?

A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Answers

For this case we have the following recursive formula:
$f (n + 1) = f (n) - 2$
What we must do in this case is to evaluate different values of n until we find f (5)
We have then:
For n = 1:
$f (1 + 1) = f (1) - 2 f (2) = f (1) - 2 f (2) = 18 - 2 f (2) = 16$
For n = 2:
$f (2 + 1) = f (2) - 2 f (3) = f (2) - 2 f (3) = 16 - 2 f (3) = 14$
For n = 3:
$f (3 + 1) = f (3) - 2 f (4) = f (3) - 2 f (4) = 14 - 2 f (4) = 12$
For n = 4:
$f (4 + 1) = f (4) - 2 f (5) = f (4) - 2 f (5) = 12 - 2 f (5) = 10$
Answer:
The value of the recursive formula for f (5) is given by:
$f (5) = 10$

$f(2)=18-2=16\n f(3)=16-2=14\n f(4)=14-2=12\n \boxed{f(5)=12-2=10}$

Beverly needs to make a container in the shape of a rectangular prism that holds 1000 in3 of liquid. The height of the container must be 10 in. She wants to use the dimensions that will allow her to use the least amount of material possible. Beverly’s mother says the difference in the amount of material will be too minor to worry about. Beverly believes it is possible to save more than half the material needed if they pick the right dimensions. Who is correct? Support your answer with specific numbers, and explain your reasoning. The dimensions are measured in whole units.

Answers

Given:
volume = 1,000 in³
height = 10 in

1,000 in³ / 10 in = 100 in² Area.

100 in²

Length Width Surface Area of the Rectangular prism
100 in 1 in 2,220 in²
50 in 2 in     1,240 in²
25 in 4 in    780 in²
20 in 5 in    700 in²


Surface area = 2(wl + hl + lw)

The best dimension is 20 inches by 5 inches by 10 inches. It has lesser surface area than other dimensions. Thus, it can save more materials.

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claims that he could help place any employee in a suitable job based on the result of a psychometric test. The test has an accuracy rate of 70%. An employee working in a particular company takes the test. The probability that the employee is in the right job and the test predicts that he is in the wrong job is_______The probability that the employee is in the wrong job and the test predicts that he is in the right job is ________

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The probability that the employee is in the right job and the test predicts that he is in the wrong job is_______The probability that the employee is in the wrong job and the test predicts that he is in the right job is ________

1. 30%
2. 35%

Psychometric tests are psychological tests used to measure and identify traits, preferences and other said characteristics that the psychometrician wants to locate.

Kitchen flooring is sold at £8 per 1 metre length what is the cost for 80cm

Answers

it would cost 6.4
sorry I do not know how to put up that money sign

In this situation, I'd use a proportion: $(8)/(100)=(x)/(80)$

Multiply diagonally: $100x=640$

Divide by 100 on both sides: $x=6.4$

Therefore, 80cm of kitchen flooring would cost £6.40.

Which is greater? 45.678 or 456.78?

Answers

456.78 is greater. If your look where the decimal place is you can see the greater number.

What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?

Answers

To find the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2), First: divide 3x^4 by x to get 3x^3, then multiply 3x^3 to x - 2 to get 3x^4 - 6x^3 and subtract 3x^4 - 6x^3 from 3x^4 – 4x^2 + 8x – 1 to get 6x^3 - 4x^2 + 8x - 1 Next: divide 6x^3 by x to get 6x^2, then multiply 6x^2 to x - 2 to get 6x^3 - 12x^2 and subtract 6x^3 - 12x^2 from 6x^3 - 4x^2 + 8x - 1 to get 8x^2 + 8x - 1 Next: divide 8x^2 by x to get 8x, then multiply 8x to x - 2 to get 8x^2 - 16x and subtract 8x^2 - 16x from 8x^2 + 8x - 1 to get 24x - 1 Finally: divide 24x by x to get 24, then multiply 24 to x - 2 to get 24x - 48 and subtract 24x - 48 from 24x - 1 to get 47. Thus, (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2) = 3x^3 + 6x^2 + 8x + 24 Remainder 47

Answer:

3x^3+6x^+8x+24+47/x-2

Step-by-step explanation:

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