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4 years ago

Please show work Thank uuuu :)

Mathematics

1 answer:

hjlf4 years ago

3 0

2 boxes for $6.00 5 Bars each is 10 bars for $6.00 or $3.00 for 5 bars

so $6.00 divided by 10 =.60 or 60 cents per bar

12 bars for $7.44 is $7.44 divided by 12 =.62 or 62 cents per bar

so the difference between 60 cents and 62 cents is

2 cent Difference

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Use the WeierstrassM-test to show that each of the following series converges uniformly on the given domain:

ryzh [129]

Answer:

Step-by-step explanation:

Given a series $\sum_{k=1}^\infty f(z)$ , the Weierstrass M-test tell us that if we find a sequence of positive numbers $M_n$ such that $|f(z)|\leq M_n$ in a certain domain D, and the series $\sum_{n=1}^\infty M_k$ converges, then the series $\sum_{k=1}^\infty f_k(z)$ converges uniformly in the domain D.

So, our objective is to find the so called sequence $M_k$ . The main idea is to bound the sequence of functions $\frac{z^k}{z^k + 1}$ .

Now, notice that the values of z are always positive, so $z^k$ is always positive, so $z^k+1\geq 1$ for all values of z in $\overline{D}$ . Then,

$\Big| \frac{z^k}{z^k + 1}\Big| \leq z^k,$

because if we make the values of the denominator smaller, the whole fraction becomes larger.

Moreover, as z is in the interval [0,r], we have that $z\leq r$ and as consequence $|z^k|\leq r^k$ . With this in addition to the previous bound we obtain

$\Big| \frac{z^k}{z^k + 1}\Big| \leq |z^k|\leq r^k.$

With this, our sequence is $M_k = r^k$ and the corresponding series is $\sum_{k=1}^\infty r^k$ , which is a geometric series with ratio less than 1, hence it is convergent.

Then, as consequence of Weierstrass M-test we have the uniform convergence of the series in the given domain.

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3 years ago

To find the absolute value of a number find the distance from zero and write the distance as a

Mamont248 [21]

If you want some one to answer this you need a picture more info for people to go off of

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Read 2 more answers

Johnny earns $5 per day delivering newspapers. What equation shows how much money m he earns delivering papers for d days?

jeyben [28]

Hello there,

Your correct answer would be C.) m=5d.

The reason is so because 5 and d are going to be multiplied and so sence they would be multiplied this mean's that you will see how much money he earned in (m) days.

Correct answer would be "C.) m=5d"

Hope this helps!

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3 years ago

What is the area of 3.5 inches and 1.5 inches

Vaselesa [24]

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3 years ago

Use the spinner to find the theoretical probability of the event.

Mrrafil [7]

Answer:

$\frac{3}{6}$

Step-by-step explanation:

there are 6 options total so that will be your demoninator.

3 of those options are a multiple of 2

2, 4, 6 and those are 3 options that will be acting as your numerator.

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3 years ago