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2 years ago

When solving inequalities the inequality is reversed when:

2 answers:

8 0

When we multiply or divide and inequality by a positive integer but it doesn’t change but if we multiply or divide an inequality with a negative integer the sign of it will be changed

Anettt [7]2 years ago

7 0

When we multiply or divide an inequality by a negative integer.

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PLS HELP ASAP 30 POINTS

VARVARA [1.3K]

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$\frac{23}{50}$

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3 years ago

The product of a number and -3 is less than 27

Vaselesa [24]

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-8

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3 years ago

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3 years ago

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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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3 years ago

What number is 40% of 720

Zarrin [17]

You would have to set you problem up like
x 40
____=_____
720 100

you would multiply 40 by 720 then you would divide 28,800 by 100 your answer will be 288.

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3 years ago