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Sholpan [36]
3 years ago
14

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0
Try this solution:
1. according to the condition
\left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \  \ x \geq 0.
2. for more details see the attached graph.

Answer: [0;+oo)

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What is the sum of the first 6 terms of this geometric sequence? –4, –16, –64, –256, …
MatroZZZ [7]

a_1=-4;\ a_2=-16;\ a_3=-64;\ a_4=-256;\ ...\\\\r=\dfrac{a_{n+1}}{a_n}\to r=\dfrac{a_2}{a_1}\to r=\dfrac{-16}{-4}=4

The formula of the sum of a geometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

We have:

a_1=-4;\ n=6;\ r=4

substitute:

S_6=-4\cdot\dfrac{1-4^6}{1-4}=-4\cdot\dfrac{1-4096}{-3}=-4\cdot\dfrac{-4095}{-3}=-4\cdot1365=-5460

Answer: C. -5460

6 0
3 years ago
Assuming that the sample mean carapace length is greater than 3.39 inches, what is the probability that the sample mean carapace
joja [24]

Answer:

The answer is "".

Step-by-step explanation:

Please find the complete question in the attached file.

We select a sample size n from the confidence interval with the mean \muand default \sigma, then the mean take seriously given as the straight line with a z score given by the confidence interval

\mu=3.87\\\\\sigma=2.01\\\\n=110\\\\

Using formula:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

The probability that perhaps the mean shells length of the sample is over 4.03 pounds is

P(X>4.03)=P(z>\frac{4.03-3.87}{\frac{2.01}{\sqrt{110}}})=P(z>0.8349)

Now, we utilize z to get the likelihood, and we use the Excel function for a more exact distribution

=\textup{NORM.S.DIST(0.8349,TRUE)}\\\\P(z

the required probability: P(z>0.8349)=1-P(z

4 0
2 years ago
How do I get it to equal zero
Mashutka [201]

Answer:

multiply it by zero

Step-by-step explanation:

zero times anything is zero

7 0
3 years ago
Which of the following proportions is false?
lesya [120]

Answer:

D is false

Step-by-step explanation:

7 0
2 years ago
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Write a variable expression for 9 more than a number s.
Vladimir [108]
S+9

More than suggests addition.
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