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MArishka [77]
3 years ago
9

Multiply 1 over 2 multiplied by negative 1 over 4 . Which of the following is correct?

Mathematics
2 answers:
slava [35]3 years ago
8 0
The answer is A
Since anytime you multiply a negative by a positive the answer is going to be negative.
When multiplying fractions you multiply across so 1*1 = 1 and 2*4 = 8 so the answer is 1/8
PIT_PIT [208]3 years ago
4 0

Answer:

im pretty sure its A

Step-by-step explanation

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Step-by-step explanation:

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4 years ago
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in th
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Answer:

\frac{dP}{dt} \ =\  \frac{1}{5}P

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. P = 10\ million when \frac{dP}{dt} = 2\ million

Required

Determine the differential equation for the scenario

The variation can be represented as:

\frac{dP}{dt} \ \alpha\ P

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

\frac{dP}{dt} \ =\ k * P

\frac{dP}{dt} \ =\ kP

Substitute values for \frac{dP}{dt} and P

2\ million = k * 10\ million

Make k the subject

k = \frac{2\ million}{10\ million}

k = \frac{2}{10}

k = \frac{1}{5}

Substitute \frac{1}{5} for k in \frac{dP}{dt} \ =\ k * P

\frac{dP}{dt} \ =\  \frac{1}{5}* P

\frac{dP}{dt} \ =\  \frac{1}{5}P

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