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maksim [4K]
4 years ago
5

Does the infinite geometric series diverge or converge? Explain.

Mathematics
1 answer:
Lelu [443]4 years ago
5 0

Answer:

A. It diverges; it does not have a sum

Step-by-step explanation:

a geometric series converges if and only if

the common ratio, r, is such that |r| < 1, and

diverges if |r|>=1.

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Simplify 8r+(-4r)+3 and then solve if r=5​
timama [110]

Simplify= 4r+3

Because 8r plus -4r which is 4r and then 3 can’t be simplified so u keep it the same

Then the answer if r=5 is 23

Because the equation looks like 4(5)+3

5 times 4 is 20 plus 3 is 23

7 0
4 years ago
Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?
elena55 [62]
<span>6x2 -5x –3 = 0
a = 6 b=-5 and c=-3

x = [-b +-sq root (b² -4ac)] / 2a
x = [--5 +-sq root (25 -4*6*-3)] / 2*6
x = [5 +- sq root (25 +72)] / 12
x = [5 +- sq root (97)] / 12

x1 = [5 + </span><span><span><span>9.8488578018 </span> </span> </span> ] / 12
x1 = <span> <span> <span> 14.8488578018 </span> </span> </span> / 12
x1 = <span> <span> <span> 1.2374048168 </span> </span> </span>

x2 = [5 - <span> <span> <span> 9.8488578018 </span> </span> </span> ] / 12
x2 = <span> <span> <span> -4.8488578018 </span> </span> </span> / 12
x2 = <span> <span> <span> -0.4040714835 </span> </span> </span>


5 0
4 years ago
Solve the equation 5 ( 1 + X) = 5x + 5
kaheart [24]

Answer:

x=any real number

Step-by-step explanation:

5 ( 1 + X) = 5x + 5

5x+5=5x+5

true statement

4 0
3 years ago
Read 2 more answers
In ΔBCA, BA = 17 cm, BF = 6 cm, CG = 9 cm. Find the perimeter of ΔBCA.
Rainbow [258]

Answer:

answer is 52 cm

Step-by-step explanation:

BA = 17, BF = 6, and CG = 9

triangle sides BF and BH are congruent because they are tangent lines along the same curve

BH is equal to 6 since BF is equal to 6

this applies to CG and CF and AG and AH

CG is equal to 9

so CF is equal to 9

now we add 6 + 9 for the measurement of side CB

CB = 15

now we do the same for the other two sides

we already know BA = 17 so we subtract it from BH = 6 to find the measurement of AH

AH is equal to 11 and is tangent across the same curve as AG

AG = 11

now we add AG to CG

11 + 9 = 20

now we know  all the side lengths

CB + BA + AC = Perimeter

15 + 17 + 20 = 52

Perimeter of triangle BCA = 52

I don't know why I went through all the trouble if I know no one is going to see this :'(. I just thought the other guy gave the wrong reasons

3 0
3 years ago
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The radius of a sphere with a surface area of 64
IRINA_888 [86]

Answer:

2.257

Step-by-step explanation:

5 0
3 years ago
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