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4 years ago

Need help with question 20

Mathematics

1 answer:

tigry1 [53]4 years ago

5 0

I would start by dividing by all the multipliers of the parentheses.
$\frac{PV}{nt} = r_{1} +r_{2}$
Then, I would subtract the unwanted variable from the sum.
$\frac{PV}{nt} -r_{2} = r_{1}$

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An algorithm takes 0.5 seconds to run on an input of size 100. How long will it take to run on an input of size 1000 if the algo

dexar [7]

Answer:

linear: 5s

quadratic: 50s

log-linear: 0.75 s

cubic: 500s

Step-by-step explanation:

Let $t_1,t_2$ be the running time associated with the input of sizes $s_1,s_2$

If the running time is linear

$t_2 = t_1\frac{s_2}{s_1} = 0.5*\frac{1000}{100} = 0.5*10 = 5s$

If the running time is quadratic

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^2 = 0.5*\left(\frac{1000}{100}\right)^2 = 0.5*10^2 = 50s$

If the running time is log-linear

$t_2 = t_1\frac{log(s_2)}{log(s_1)} = 0.5*\frac{log(1000)}{log(100)} = 0.5*1.5 = 0.75s$

If the running time is cubic:

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^3 = 0.5*\left(\frac{1000}{100}\right)^3 = 0.5*10^3 = 500s$

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3 years ago

Hellppppp 20 points and brainliest!!!

Sauron [17]

A,B and E

Explanation:

If it is 4 for $5 we would create a ratio and unit rate to test out all of the options

We want to know how much one costs first
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So you test out all options:

A. 1.25/1=6.25/5 this is correct
B. 1.25/1=3.75/3 this is correct
C. 1.25/1=9/6 this is NOT correct
D. 1.25/1=1.5/1 this is NOT correct
E. 1.25/1=12.5/10 this is correct

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Answer:

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Step-by-step explanation:

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