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salantis [7]
2 years ago
6

A scientist studying insect starts with a population of 10. The population triples every hour. How many insects with be there in

20 minutes.
Mathematics
2 answers:
atroni [7]2 years ago
8 0
The question is asking you to understand that a population which is raised by a common ratio over a certain time period follows an exponential pattern. See:

After 1 hour, the population is 3*10
After 2 hours, the population is 3*3*10
After 3 hours, the population is 3*3*3*10
.....

This can be generalised as a function of t, the time in hours:

f(t) = (3^t) * 10

Since the function determines the population at a given time, it is more prudent to replace f(t) with P, the population after time t:

P = (3^t) * 10

Since 20 minutes is equal to (1/3) hours, t can be substituted for (1/3) in order to calculate the population size after 20 minutes:

P = (3^(1/3)) * 10 = 14.4224957031 <span>≈ 14

Therefore the population after 20 minutes is 14.</span>
Kobotan [32]2 years ago
3 0

Answer:

14

Step-by-step explanation:

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2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.
vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

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Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

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6 0
2 years ago
A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet
kondor19780726 [428]

Solution:

The Statement made by company about it's tablet computer,

Average recharge time = 3 Hours

As, to check whether the company claim is illegal or true

A random sample of 50 company tablet computers, and their recharging time is noted.

As, we have taken random sample , so standard deviation will come into consideration whether company claim is true or false.

Mean recharge time of 50 company tablet computers=  2.5 hours

Standard deviation of 50 company tablet computers=  0.3 hours

So, Mean standard deviation =

   2.5 \pm0.3\\\\ 2.5 -0.3 \leq {\text{Mean standard deviation}}\leq 2.5+0.3\\\\ 2.2\leq {\text{Mean standard deviation}}\leq 2.8

So, Claim made by company , that its tablet computers have an average recharge time of 3 hours is  Approximately true.

As , there is fluctuation of (3 hours - 2.2 hours =3-2.12=48 minutes ) and (3 hours -2.8 hours=3-2.48=12 minutes), which is not so much ,so we can believe on this company and buy the product (that is tablet computers) of this company.

7 0
2 years ago
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sergij07 [2.7K]
Since 26 is even, you can divide it by 2, a prime number. 26/2 is 13, and 13 happens to be prime as well so it's solved.

The prime factorization of 26 is 2 * 13
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elena-s [515]

Answer:

Parallel

corresponding angles theorem

NYM

AA

Step-by-step explanation:  I DID IT ON EDGE! : )

We know that side NM is  _________________

✔ parallel

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✔ NYM

by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the  _____________

✔ AA

 similarity theorem.

7 0
2 years ago
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