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astraxan [27]
3 years ago
15

Can someone please help me with this one question?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
It's been awhile since I've worked with infinite series and partial sums, but here are my thoughts:
A. the first 4 terms:  -4, - \frac{4}{3}, -\frac{4}{9}, - \frac{4}{27}
B. In examining the partial sums of the series, it appears that the sequence produced has a limit and therefore the series would be convergent.
C. the limit or sum of the series looks to be -5    Below look at the sequence of partial sums:  
-4, -5 \frac{1}{3}, -5 \frac{7}{9}, -5 \frac{25}{27}

So you can see we're getting closer and closer to -5
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Find b in triangle TRG. Please help, I'm not sure how to solve for b.
Marina CMI [18]

Answer:

b=4.9

C. is the correct option.

Step-by-step explanation:

In triangle TGN,

Let <RTG be x

cosx= b/h

or, cosx = 2/a

Again,

In triangle TRG,

cosx = b/h

(for bigger right angled triangle)

cosx = a/(4+2)

cosx = a/6

Now

cosx = 2/a = a/6

or, 2/a = a/6

or, 12 = a²

so, a² = 12

Now,

For TRG,

h² = p²+b²

or, 6² = b² + a²(a²=12)

or, 6² = b² + 12

or, 36 = b² + 12

or, 36 -12 = b²

or, b² = 24

or, b = square root 24

so, b = 4.8989

so, b = 4.9

7 0
2 years ago
What is the main difference between investing and saving?
SashulF [63]

Answer:

B.) Investing has the risk of losing principal, whereas saving does not.

Step-by-step explanation:

Saving can be accomplished a number of ways, including putting the money in a cookie jar (where it will not earn interest). Most savings institutions (banks, credit unions, and the like) are governed by rules that help to ensure the availability and safety of the balance. Often, such institutions are insured so that depositors are protected against loss of principal.

Many investment opportunities are governed by no such rules. The invested amount may be unavailable for perhaps a lengthy period of time, and any return on the investment may be dependent upon factors not under the control of the party accepting the money. There is the opportunity for complete loss of the invested amount, and the possibility of incurring additional liability in some cases.

Investment in certificates that are traded on a regulated exchange will be subject to the exchange rules, generally including the requirement that the investor be fully informed of the risks. That doesn't mean there is no risk—it just means the investor is supposed to be made aware of it.

5 0
3 years ago
Would I do Pythagorean theorem?
kati45 [8]
Yes you do , i learned pythagorean theorem last year in pre-algebra
4 0
3 years ago
Read 2 more answers
My points r running out lol. but could someone be so kind and help once again please ????
Oliga [24]

Answer:

304.8

Step-by-step explanation:

914.4/ 3

4 0
3 years ago
Read 2 more answers
If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal
dezoksy [38]

Answer:

The statement is true.

Step-by-step explanation:

Let us assume that x is the required number.

Now, given that the number minus 3 is at most 12.

Hence, x - 3 ≤ 12

⇒ x ≤ 15 ......... (1)

And also given that 1 more than 2 times the number is at least 25.

Hence, 2x + 1 ≥ 25

⇒ 2x ≥ 24

⇒ x ≥ 12 .......... (2)

Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.

So, the statement is true. (Answer)

3 0
3 years ago
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