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Nataly [62]
2 years ago
12

Jan buys packages of pens for $5 each. Identify the independent and dependent variables in the situation

Mathematics
1 answer:
AVprozaik [17]2 years ago
4 0
Independent:
Amount of packages bought
Pens per package
$ per package

Dependent:
Total amount of $
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find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent
Serjik [45]

Answer:

Option (1)

Step-by-step explanation:

By the property of alternate segment theorem,

"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"

m(∠EFG) = \frac{1}{2} × m(minor arc FG)

minor arc FG = 2m(∠EFG)

                      = 2(76°)

                      = 152°

Therefore, Option (1) will be the correct option.

7 0
3 years ago
Please this a really easy question. Does this mean I got an A on this test?! Please answer!!!!!!!!!!!!!!!
AnnZ [28]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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Determine whether the following series converge or diverge
Mars2501 [29]
An alternating series \sum\limits_n(-1)^na_n converges if |(-1)^na_n|=|a_n| is monotonic and a_n\to0 as n\to\infty. Here a_n=\dfrac1{\ln(n+1)}.

Let f(x)=\ln(x+1). Then f'(x)=\dfrac1{x+1}, which is positive for all x>-1, so \ln(x+1) is monotonically increasing for x>-1. This would mean \dfrac1{\ln(x+1)} must be a monotonically decreasing sequence over the same interval, and so must a_n.

Because a_n is monotonically increasing, but will still always be positive, it follows that a_n\to0 as n\to\infty.

So, \sum\limits_n(-1)^na_n converges.
5 0
3 years ago
Mr. Burn's class is taking a field trip to the planetarium. The trip will cost $27 for each
marysya [2.9K]

Answer:

$486

Step-by-step explanation:

all you do is multiply 27 and 18. i feel like using compatible numbers bc the numbers you have will give you your answer.

7 0
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Luda [366]

Answer:

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Step-by-step explanation:

2x+6=10

2x=10-6

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x=4/2

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6 0
3 years ago
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