Step-by-step explanation: By signed number, do you mean a negative or positive number? If so that means that number one is -80 because she lost 80 dollars which mean that she LOST the money. And the second number is -3 because the number DECREASED

6 0

2 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 t

Dmitriy789 [7]

Answer:

Option C, dP/dt=1/5P

Step-by-step explanation:

The change is population of insects is directly proportional to the rate of change of population

Hence,

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

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

where K is the proportional constant

We will find the value of k

Keeping the given values of rate of change of population and population in above equation, we get -

$\frac{2}{10} = k\\k = \frac{1}{5}$

Hence,

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

3 0

2 years ago

A farmer can harvest 54 pounds of corn from each acre in his

vfiekz [6]

Answer:

675 pounds

Step-by-step explanation:

12.5 multiplied by 54 He gets 54 pounds from one acre and he has 12.5 acres so each acre is 54 pounds.

3 0

2 years ago