PLEASE HELP, AND HOW DO U SOLVE THESE TYPE OF QUESTIONS

Mathematics

1 answer:

liberstina [14]2 years ago

3 0

9514 1404 393

Answer:

625

Step-by-step explanation:

The ordered pair is an (x, y) pair. You are given the value of x. Put it in the equation and do the arithmetic.

y = 5^4 = 625

The ordered pair is (4, 625). The missing value is 625.

_____

<em>Additional comment</em>

The exponentiation function on many calculators is done using a key labeled ...

$\boxed{y^x}$

You can do it the long way by recognizing that 5^4 = 5·5·5·5 or 25·25.

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Population Growth Using 20th-century U.S. census data,

asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

$P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}$

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

$10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7$