Answer:
f(g(5)) = 16.5
Step-by-step explanation:
To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)
g(5) = × 5 = 2.5 , then
f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5
In 1999 there were 1647 daily and 7471 weekly newspapers published in the United States, as well as X other kinds of newspapers.
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:
2000 ml
Step-by-step explanation:
Given: Sarai pours all the liquid from a full small beaker into a larger beaker.
The liquid fills the large beaker to 15% of its capacity.
The small beaker holds 300 ml.
Lets assume capacity of large beaker to hold be "x".
As given, Sarai pours all the liquid from a full small beaker into a larger beaker
∴
⇒
Dividing both side by 0.15
⇒
∴
Hence, the large beaker can hold 2000 ml of liquid.