3 years ago

Find the value of 5^4 * 5 ^3 *

Mathematics

1 answer:

Musya8 [376]3 years ago

5 0

I believe it’s 78,125

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You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x) = 75,000 ^3sqrt x-19

LuckyWell [14K]

Answer: B. 1975

Step-by-step explanation:

Given: The model of population of a certain city between the years 1965 and 1995 by the radical function

$P(x)=75000\sqrt[3]{x-1940}$

To find the x year at which population is 245,000, put this in equation we get

$245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975$