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3 years ago

Help!! I really don't get it and if you can please give explanation

Mathematics

1 answer:

Mice21 [21]3 years ago

6 0

Answer: 1/20

Step-by-step explanation: = 1+8:36= 9 hours and 36 minutes

= 9+ 36/60= 9 3/5 hours

=48/5

Decrease per hour= 12/25 divided by 48/5

= 12/25 times 5/48= 1/20

Ans 1/20

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Inessa05 [86]

The slope is 1/1
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3 years ago

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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

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

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3 years ago

Harry earns an hourly rate of $15. For each additional hour over 40 hours, he earns 150% percent of his regular hourly rate. Las

Yuri [45]

Answer:

51 hours

$15 x 40 = $600

$15 x 1.50 = $22.5

$22.5 x 11 = $247.5

$600 + $247.5 = $847.5

40 + 11 = 51 hours

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3 years ago

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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2 years ago

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Bas_tet [7]

I don't know what the "six-step method" is, but I do know how to solve the problem:

Let x = number of gallons of 50% solution

amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32

Then, 0.50x + 8 = 0.40x + 32

0.10x = 24

x = 240 gal

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3 years ago