The surface area of a rectangular prism is 208 cm2. Two of the dimensions are 2cm and 10cm. Find the measure of the other dimens
1 answer:
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All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
There are 40 milliliters of fruit juice in the bottle
Step-by-step explanation:
we know taht
20%=20/100=0.20
To find out the milliliters of fruit juice, multiply the volume of the bottle by the percentage of fruit juice in decimal form
so
therefore
There are 40 milliliters of fruit juice in the bottle