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RoseWind [281]
3 years ago
8

16 Find the value of x in the diagram below.

Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

fyni

Step-by-step explanation:

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During the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this
alex41 [277]

Answer:

Step-by-step explanation:

Given that during  the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.

\frac{dP}{dt} =0.03135P =0.0001489P^2, P(0) = 3.9

a) 1930 population is the population at time t = 40 years taking base year as 40

We can solve the differential equation using separation of variables

\frac{dP}{0.03135P – 0.0001489P^2 } =dt\\\frac{dP}{-P(0.03135 – 0.0001489P } =dt

Resolve into partial fractions

\frac{31.8979}{P} -\frac{0.00474}{0.0001489P-0.03135}

Integrate to get

ln P -0.00474/0.0001489  (ln (0.0001489P-0.03135) = t+C

ln P -31.833  (ln (0.0001489P-0.03135) =t+C

\frac{P}{( ( (0.0001489P-0.03135)^{31.833}  } =Ae^t

Limiting population would be infinity.

6 0
3 years ago
If 47 Mph was a unit rate, how many hours would it take to travel 1 Mph?
insens350 [35]

Answer: um i think you asked the question wrong. But ok.

Step-by-step explanation:

= 47 miles per hour

This is a fraction equal to

47 miles ÷ 1 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

47 miles ÷ 1

1 hours ÷ 1

=  

47 miles

1 hour

=  

47 miles

hour

= 47 miles per hour

8 0
2 years ago
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Anika [276]

Answer:

Answer is – 3

Step-by-step explanation:

expand the expression using ( a – b) ( a + b) = a² –b²

( 3 ) ² – ( 6) ² *remember to place your square roots inside the brackets my phone doesn't have one*

then simplify the radical

3–6 = – 3

8 0
3 years ago
What is the formula for a quadrilateral
Alexandra [31]
Base x height

length x width 

hope this helps XD
7 0
3 years ago
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−8x + 3y = 21 solve it
Nataly [62]
So first we have to subtract 3y from 21 cause the oppisit of addition which is subtraction so you get 18y when we divide that with -8y and get y=2.25y
6 0
3 years ago
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