MATHEMATICS HIGH SCHOOL

You can approximate e by substituting large values for n into the expression ______.a) (1-n)^1/n
b) (1+1/n)^n
c) (1-1/n)^n
d) (1+n)^1/n

Answers

Answer 1
Answer: e is approximately equal to (1+ 1/n) ^n

You can test this:

(1 + (1/50000))^50000 = 2.718

So the answer is B
Answer 2
Answer:

Answer:

b) (1+1/n)^n

Step-by-step explanation:

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Election Three candidates run for an office in a local election. In all, 12,936 votesare cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.​

Answers

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

Is it possible to write a sequence that is both arithmetic and geometric

Answers

It is not possible to write a sequence that is both arithmetic and geometric.
An arithmetic sequence is:
a0, a0 + d, a0 + 2d, a0 + 3d, ...

An geometric sequence is:
a0, a0r, a0r2, a0r3, ...

So if the two are equal, we have:
a0 = a0,
a0 + d = a0r,
a0 + 2d = a0r2,
a0 + 3d = a0r3,
...

This can only be true if d = 0 and r =1 and only for the first three terms. It's a trivial sequence with only three elements which can't be necessarily classified as a sequence.

Enter the value of p so the expression 5/6 - 1/3n equivalent to p(5-2n)

Answers


You said                          5/6 - 1/3 n  =  p (5 - 2n)

Divide each side by (5 - 2n) :   

                                   p = (5/6 - 1/3 n) / (5 - 2n) .

That's about all you can do with it.
As you can see, the required value for 'p'
depends on the value of 'n'.

If you want to get rid of those awkward fractions,
I guess you could multiply top and bottom by  6 .
Then you have ...

                           p = (5 - 2 n) / 6·(5 - 2n) .

Oh, my goodness !  Look at that !

                           p = 1/6 .

It doesn't even depend on 'n' at all.  It's always true,
no matter what 'n' is.

I am surprised.

Answer:

19

Step-by-step explanation:

Let x

Then we have 15 (x + 9) = 420.

We can divide both side by 15, getting x + 9 = 28. Then, we can subtract both sides by 9, getting x = 28 - 9 = 19.

Since there are 15 players and he bought a basketball for each of them, he bought 15 basketballs in total.The price of a basketball costs $9.The total price of all 15 basketballs = $9 * 15 = $135.He spent $420 on uniforms and basketballs, and he spent $135 on basketballs.Thus, he spent $420 - $135 = $285 on uniforms.As he bought a uniform for each of the 15 players, he bought 15 uniforms in total.The price of 15 uniforms is $285.The price of 1 uniform is $285 ÷ 15 = $19.

hope this helps also adding more things to make it easier

I work at a hotel and my time is 5:30 am to9:30am. I have to put out the breakfast for 6:30 and break down at 9:30 am. How many hours are they giving me to wash dishes and clean up? I also do housekeeping and my time is 9:00 am to 3:00pm. I had 12 check out and 4 stay over . How many minutes are they giving me to clean each room?

Answers

So, with 12 check outs and 4 stays over you will have to clean up 16 rooms ( I assume that the hotel has the habit of cleaning up the room even if people stay overnight)

so the time between 9 am and 3 pm is 4 hours, that is 4*60=240 minutes.

This means it's 240/16=120/8=60/40=15, 15 minutes per room.

About the first part of the sentence: I assume that you can start washing the dishes alrady at 6:30 (dishes you used for preparation,etc) - so you can clean up from 6:30 till 9:30 - that is three hours!

. Allison drew a triangle with 2 congruent sides and 1 obtuse angle. Which terms accurately describe the triangle? Select all that apply.

Answers

Answer:

obtuse triangle

isosceles triangle

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side.

Answer:

obtuse triangle

isosceles triangle

Step-by-step explanation:

hope it helps

Sammy has $0.37 in his pocket he only has four coins.What coins does he have in his pockets??

Answers

Sammy would have a quarter (25 cents) a dime (10 cents) a penny (1 cent) and another penny (1 cent).
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