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3 years ago

What is 5/8 - 4/7 but simplified? i dont know how to do it

Mathematics

1 answer:

SashulF [63]3 years ago

3 0

Answer:3/56

Step-by-step explanation:

5/8-4/7

(35-32)/56

3/56

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Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t

WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

$\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}$

Seperate the differential equation and solve for the constant C.

$\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}$

You have 100 rodents when:

$100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months$

You have 1000 rodents when:

$1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months$

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2 years ago

Connor is playing a card game called At Face Value. At the end of each round, players earn positive points for their remaining n

murzikaleks [220]

Answer:

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3 years ago

Tyler earned $364.80 at his job when he worked for 16 hours. How much money did he earn each hour?

oksano4ka [1.4K]

Answer: $22.80/hour

Step-by-step explanation: 364.80 : 16 = 22.80

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2 years ago

When having the same radius and height what fraction of a cylinder have the same volume as one cone?

trasher [3.6K]

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

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2 years ago

Explain how you could use estimation to get an appoximate answer for the expression below. (11.6+7.3) - (6.2 x 2.1)

Kruka [31]

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

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2 years ago

What is 5/8 - 4/7 but simplified? i dont know how to do it​

What is 5/8 - 4/7 but simplified? i dont know how to do it