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Likurg_2 [28]
3 years ago
9

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided

by nine, ...
Mathematics
2 answers:
Inga [223]3 years ago
7 0

Answer:

Converges, 57.6

Step-by-step explanation:

48, 8, 4/3, 2/9...

ratio = 8/48 = 1/6

A sequence converged if the ratio is between -1 and 1.

So, this sequence converges

Limit = a/(1-r)

Where a is the first term, and r is the common ratio

Limit = 48/[1 - (1/6)]

= 48/[5/6]

= 48 × 6/5

= 57.6

inessss [21]3 years ago
7 0

Answer:

Converges; 0

Step-by-step explanation:

All of the numbers are converging towards 0. Always being divided by 6, each time, getting closer to 0.

48/6 = 8

8/6 = 4/3

4/3/6 = 2/9

etc.

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Which relationship in the triangle must be true ?
Ivan

Answer:

Choice B. sin(B)=cos(90-B)

Step-by-step explanation:

That cofunction identity is the one you looking for...choice B.

If you aren't convinced or don't know that identity, then maybe this will help:

90-B is actually the same thing as saying A for this right triangle since A+B=90.

So choice B basically says sin(B)=cos(A)

Well let's find both sin(B) and cos(A)

sin(B)=b/c

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2 years ago
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Lucy makes green paint by mixing yellow and blue paint in the ratio 5:2. Blue paint costs
ahrayia [7]

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

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The total cost in pounds in this;

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Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

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3 years ago
What is the largest digit N for which 2345N is divisible by 6?
kotegsom [21]
Consider this option (this is not the only way):
1. according to the condition 2345N is divisible by <em>6</em>, it means, that N is even number (0;2;4;6 or 8).
2. <em>6</em>=3*2, then the number 2345N is divisible by 3 also. It means, that the number (2+3+4+5+N)=(14+N) is divisible by 3, where N={0|2|4|6|8}.
3. using items 1 and 2:
(14+4)=18; only 18 is divided by 3, it means that N=4.

answer: 4.

Note also, that only 23451; 23454 and 23457 are divided by 3. Only 2345<u>4</u> is divided by 6 (2345<u>4</u>/6=3909).
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