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Semenov [28]
3 years ago
14

"What is Limit as x approaches 2h(x), if it exists?"

Mathematics
2 answers:
s2008m [1.1K]3 years ago
4 0
I think it is 3 as a possible answer
LuckyWell [14K]3 years ago
3 0

The limit as <em>x</em> → 2 is 0. This is determined by the behavior of the blue-ish curve around <em>x</em> = 2.

When you're talking about a limit as <em>x</em> approaches some value <em>c</em>, you're really considering values of <em>x</em> ≠ <em>c</em> but very close to <em>c</em>. In this case, the blue-ish curve captures what happens around <em>x</em> = 2. To the left, the curve is falling toward 0, and to the right, the curve is falling further down from 0. The fact that <em>f</em> (2) = 3 (according to the green dot) has no effect on the value of the limit.

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
Anna is x years old and her sister is 5 years older. How old was her sister 5 years ago?
777dan777 [17]

Answer:

x

Step-by-step explanation:

x + 5 - 5 = x

8 0
3 years ago
Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.He knows that the state tax is 5.5.
Natalka [10]
Aiden will receive $1.43 from a $5 bill.

If the state tax is 5.5%, you can use the equation below to solve for the total cost, <em>t</em>.

<em>t</em> = 1.055 (2 × 1.09 + 1.20)
<em>t</em> = 1.055 (2.18 + 1.20)
<em /><em>t </em>= 1.055 (3.38)
<em>t </em>= 3.5659

You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, <em>c</em><em />.

<em>c </em>= 5 - 3.57
<em>c </em>= 1.43


7 0
3 years ago
Dorothy and Rosanne are baking cookies for a party. Working alone, Rosanne can finish the cookies in 6 hours. Dorothy can finish
garik1379 [7]

Answer:

It will take them 3.43 hours.

Step-by-step explanation:

Let T denote the total cookies that need to be cocked. Observe that:

  1. If Rosanne finishes the cookies in 6 hours, that means that she can make \frac{T}{6} cookies per hour.
  2. If Dorothy finishes the cookies in 8 hours, that means that she can make \frac{T}{8} cookies per hour.

Then, by 1) and 2), if they work together would we able to make

\frac{T}{6}+\frac{T}{8}=\frac{8T+6T}{48}=\frac{14}{48}T=\frac{7}{24}T

cookies per hour.

Therefore, in order to finish the T cookies they will need \frac{24}{7}\approx3.43 hours

3 0
3 years ago
In the diagram of circle A, what is the measure of ∠XYZ?
jeka94
75 hope it helps tell me if it is
6 0
3 years ago
Read 2 more answers
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