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4 years ago

9. There are 40 minutes to solve a test of 60 questions. A student completes 20 questions in 20 minutes

1 answer:

4 0

He solved 30 questions.
He solved one question in one minute.
This if he continued at the speed and there are 40 minutes to solve the test and he leaves 10 minutes earlier. He is left with 30 minutes and one minutes per question . Therefore, he solved 30 question.

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Thanks for the help!

Serhud [2]

Answer:

I. and II. are correct

Step-by-step explanation:

The line y=0 is a horizontal asymptote in both directions, so ...

$\lim\limits_{x\to -\infty}{f(x)}=\lim\limits_{x\to\infty}{f(x)}=0$

The function value f(0) is 0, so the limit is the same from either direction:

$\lim\limits_{x\to 0^-}{f(x)}=\lim\limits_{x\to 0^+}{f(x)}=0$

The expression for statement III can be simplified:

$\dfrac{f(x)-\dfrac{1}{2}}{x-1}=\dfrac{\dfrac{x}{1+x^2}-\dfrac{1}{2}}{x-1}=\dfrac{2x-(1+x^2)}{2(1+x^2)(x-1)}=\dfrac{-(x-1)^2}{2(x-1)(x^2+1)}\\\\=\dfrac{1-x}{2(x^2+1)}$

The limit of this is 0 from either direction, so the limit does exist at x=1.

_____

We consider that ...

both statements I. and II. are correct.

6 0

3 years ago

I have 700 trillion cats and 250 buildings that the cats live in, every 20 cats have 400 square feet of space,

emmasim [6.3K]

Answer:

573483468fh tgrd d eg587598

Step-by-step explanation:

56 theb yo into th rogjkuy

5 0

3 years ago

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 18 feet. The perimeter of the dog run mu

ale4655 [162]

Answer: $3\leq x \leq 18$

Step-by-step explanation:

Given, the length of the rectangular dog run is 18 feet.

Formula: Perimeter = 2 ( length + width)

Let width be x.

Then, Perimeter = 2 (18 + x ) feet

The perimeter of the dog run must be at least 42 feet and no more than 72 feet.

That is

$42\leq 2 (x+18)\leq 72$

Divide inequality by 2, we get

$21\leq 18+x\leq 36$

Subtract 18 from each side, we get

$3\leq x \leq 18$

Required inequality : $3\leq x \leq 18$

6 0

3 years ago

According to some students what is the true purpose of homework

masha68 [24]

To annoy everyone and make life hard as heck. There is no true purpose behind it and teachers just like to make everyone's home life 10x more annoying. They also do it because 99% of teacher are crazy cat people with no life. So for them homework keeps them busy

5 0

3 years ago

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A cylinder with a base diameter of x units has a volume

uranmaximum [27]

2nd opinion that’s your answer

4 0

3 years ago

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