MATHEMATICS COLLEGE

g Indicate whether the sequence is increasing, decreasing, non-increasing, or non-decreasing. The sequence may have more than one of those properties The nth term is 1/n.

Answers

Answer 1

Answer:

Answer:

decreasing, non-increasing

Step-by-step explanation:

The sequence is ...

1, 1/2, 1/3, 1/4, ...

Each term is smaller than the one before it, so the sequence is decreasing (also, non-increasing).

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The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? (Ch10)A. H0: m =7.5 and H1:m ? 7.5B. H0: m <=7.5 and H1:m > 7.5C. H0: m >=7.5 and H1:m < 7.5D. H0: m <7.5 and H1:m >=7.5E. H0: m >7.5 and H1:m <= 7.5
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Ernie scored 8 more points than Mike scored. Ernie scored 20 points.Let p be the number of points Mike scored. Can p be 12?

Answers

Answer:

P is 12

Step-by-step explanation:

It is just 20-8, which is 12

a family buys 6 airline tickets online. the family buys travel insurance that costs 18 per ticket. the total cost is 1,044

Answers

Answer:

936

Step-by-step explanation:

Therefore you multiply 6 by 18 = 6×18= 108

1,044 - 108 = 936

So therefore the total is 936

Final answer:

The cost of each ticket before insurance is $156. This is obtained by subtracting the total cost of the insurance from the total amount spent and then dividing by the number of tickets.

Explanation:

The subject of this question seems to be an exercise in elementary algebra. If a family buys 6 airline tickets online and also purchases travel insurance that costs $18 per ticket, then the amount spent on insurance alone is $18 * 6 = $108. We know that the total cost, including the tickets and the insurance, is $1,044. Therefore, to find out the cost of the tickets alone, we subtract the cost of the insurance from the total cost: $1,044 - $108 = $936, which will be the cost for the tickets alone. So, the cost of each ticket is $936 / 6 = $156. Therefore, each ticket cost $156 before insurance.

Learn more about Algebra here:

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If the population of a particular country is growing at 1.5 % compounded continuously, how long will it take the population to triple?

Answers

$e^(0.015t)=3$
Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24

The answer is 73.24 years.

Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

Answers

You can simply expand each product and see whether it gives you a difference of squares.

•   $\mathsf{(-7x+4)\cdot (-7x+4)}$

That's actually $\mathsf{(-7x+4)^2:}$

$\mathsf{(-7x+4)^2}\n\n \mathsf{=(-7x+4)\cdot (-7x+4)}\n\n \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\n\n \mathsf{=49x^2-28x-28x+16}$

$\mathsf{=49x^2-56x+16}$   ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (4-7x)}$

$\mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\n\n \mathsf{=-28x+16-(-49x^2+28x)}\n\n \mathsf{=-28x+16+49x^2-28x}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (-7x-4)}$

$\mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\n\n \mathsf{=49x^2-28x-(-28x+16)}\n\n \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\n\n \mathsf{=49x^2-16}$

$\mathsf{=(7x)^2-4^2}$   ✔

That is a difference of two squares.

—————

•   $\mathsf{(-7x+4)\cdot (7x-4)}$

$\mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\n\n \mathsf{=-49x^2+28x-(-28x+16)}\n\n \mathsf{=-49x^2+28x+28x-16}$

$\mathsf{=-49x^2+56x-16}$   ✖

which is not a difference of squares.

—————

Only the third option will result in a difference of squares.

Answer: (− 7x + 4) · (− 7x − 4).

I hope this helps. =)

Answer:

The expression which will result in difference of two squares is:

(–7x + 4)·(–7x – 4)

Step-by-step explanation:

We know that the formula of the type:

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