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iVinArrow [24]
3 years ago
11

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

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

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

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  brainly.com/question/25504185

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This eliminates the second and third choices, as they contain positive numbers.
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The first choice matches A with -5/16, which is less than -0.5 or -1/2
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3 years ago
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lana66690 [7]

Answer:

The pattern is that, every time a 9 is added. This pattern continuous forever.

Step-by-step explanation:

9 X 1 = 9

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2 years ago
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zhuklara [117]

Answer:

b) 7.89*10^4

c) 3.15*10^3

Step-by-step explanation:

2-42)

the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.

b) 0.789*10^5

c) 31.5*10^2

b) 0.789*10^5

in order to make 0.789 greater than 1, I would just multiply it by 10. shown below

=0.789*10*10*10*10*10

=7.89*10*10*10*10

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c) 31.5*10^2

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=3.15*10*10*10

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6 0
2 years ago
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Z = 44i+ 23.3<br> What is the real part of z?<br> What is the imaginary part of z?
lord [1]

Answer:

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  • imaginary: 44

Step-by-step explanation:

The real part does not have i as a multiplier. It is 23.3.

The imaginary part* is the coefficient of i: 44.

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* There is some disagreement as to whether the imaginary part includes i or not. One source says the imaginary part is the part that has i as a factor (44i). Another source says the imaginary part is the real number that multiplies i (44). Above, we have used the latter definition. Please consult your curriculum materials for the definition you should use.

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OlgaM077 [116]

Answer:

a)  -4. -9. -2

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b) -3. 4. -1

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Step-by-step explanation:

a)  -4. -9. -2

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