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igomit [66]
3 years ago
8

PLEASE HELP FAST!!! 30 POINTS

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

40 points

Step-by-step explanation:

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Please Help!!!
mylen [45]
B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots

That is, we can write the sum more compactly as

\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n

The series is geometric with common ratio \dfrac23, so the series converges (and thereby has a sum), so the answer is D.
6 0
3 years ago
Classify the triangle as acute, right, or obtuse based on the side lengths of 8, 11, and 14.
ratelena [41]

Answer:

Obtuse

Step-by-step explanation:

8^2+11^2=14^2\\64+121=196\\185=196

Since the hypotenuse is bigger, the triangle is obtuse

8 0
2 years ago
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How do you solve this ?
snow_tiger [21]

a and c are the anwsers to  this it if you look at the back of the book it will give you anwsers

3 0
3 years ago
What is the circumference of a circle with a diameter of 4.2 cm?
iogann1982 [59]

Answer:

it would be C≈13.19cm

hope this helps :)

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3 years ago
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A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount
8_murik_8 [283]

Divide the sale price by the original price:

56 / 89 = 0.7

Multiply by 100:

0.7 x 100 = 70%

The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)

4 0
3 years ago
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