3 years ago

All irrational numbers are integers

Mathematics

1 answer:

gladu [14]3 years ago

4 0

False.
Integers can be expressed as a fraction.
Example: 5=5/1

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A car travels at 65 miles per hour. Going through collision,it travels at 3/5 this speed. Write this fraction as a decimal.

solniwko [45]

Answer:

0.6

Step-by-step explanation:

the car moves at a speed of 3/5*65 miles per hour

that is 39 miles per hour

but this has nothing to do with the question as the only fraction is 3/5

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3 years ago

There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

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$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$