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Papessa [141]
3 years ago
9

Which of the following infinite series has a finite sum? Explain your reasoning.

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

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TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN
Vesnalui [34]

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

7 0
3 years ago
If a,b,c are in arithmetic sequence then a = ...​
andriy [413]

Answer:

If a, b and c are in arithmetic progression, that means that a + c = 2b. So a + b, a + c and b + c are also in arithmetic progression.

This might help.

8 0
3 years ago
Read 2 more answers
Plz help me with this
goldenfox [79]
Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
5 0
3 years ago
Find the value of x.
Rashid [163]

Answer:

99

Step-by-step explanation:

That quadrilateral equals to 360. So i had to add the numbers which equal 261. Then i did 360-261=99.

6 0
3 years ago
Read 2 more answers
(05.05)Polygon ABCD has the following vertices:
Kaylis [27]

Answer is option b)38.5 sq.units

Given vertices are A(-4,2) ,B(3,2),C(3,-5) and D(-4,-2)

Area of polygon is defined in the image.

If you have any doubts see the image or ask in comments box.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

4 0
3 years ago
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