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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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tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.  

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We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

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Therefore, the length of the ramp is 6.25 feet.

6 0
3 years ago
What is (-7/8)(-3/4) simplified
Snowcat [4.5K]

Answer:

<h2>21/32</h2>

Step-by-step explanation:

-7/8 × -3/4 = 21/32

-7 × -3   = 21  

-8 × -4   = 32

21/32

<u><em>IMPORTANT: This number is not negative, because a negative times a negative is a positive.</em></u>

By the way, if you didn't know how to arrive at the fraction here's how.

First, Address input parameters & values.

Input parameters & values: The decimal number = 0.65625. Then, write it as a fraction

0.65625/1

Multiply by 100000 both the numerator & denominator

(0.65625 x 100000)/(1 x 100000) = 65625/100000

65.625% = 65.625/100 or 65625/100000

Find LCM (Least Common Multiple) for 65625 & 100000.

3125 is the LCM for 65625 & 100000

Divide by 3125

65625/100000 = (65625 / 3125) / (100000 / 3125)

= 21/32

I'm always happy to help :)

7 0
3 years ago
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In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?
max2010maxim [7]

Answer:

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Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

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If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

8 0
3 years ago
The width of a plant cell is approximately 0.00001276 meter. Use scientific notation to write the width of the plant cell. NEED
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Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles
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Answer:

SSS

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the dividing line would give the triangles the same length for one side, the side it divided, and then it says the triangles are congruent, meaning they are both the same triangle.

8 0
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