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Murljashka [212]
3 years ago
12

Consider a population of field mice p(t), where t is measured in days, that grows at a rate proportional to the current populati

on, so that dpdt=r⁢p (a) find the rate constant r if the population triples in 30 days. (round the answer to four decimal places.)
Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0
(a) ln(3)/30 = 0.0366

_____
The solution to the differential equation is
.. p(t) = p0*e^(0.0366t)
then
.. p(30) = p0*e^1.098 = 3.00*p0 . . . . to 3 significant figures
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What is 8.25 rounded off to the nearest whole number
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Answer:

8

Step-by-step explanation:.25 is lower than .5

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3 years ago
I'm lost I need help
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3 years ago
Mr. Lau drove for 4 hours at a constant speed of r miles per hour.
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Step-by-step explanation:

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3 years ago
Which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)
Gnesinka [82]
\text{Use the distributive property:}\\\\a(b+c)=ab+ac

2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49

3 0
2 years ago
Brainliest and points !! ANSWER ASAP !!
Igoryamba

Answer:

Step-by-step explanation:

The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?

To solve this , let the age of the mother be x and the age of the son be y , from the first statement :

x + y = 78

Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:

x - 3 = 5 ( y-3)

x- 3 = 5y - 15

x - 5y = -12

The resulting equations are

x + y = 78

x - 5y = -12

This is called a simultaneous linear equation , that means it is a linear equation.

The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.

Interpretation:

The formula for the area of a square is l^{2} and the perimeter is 4l , from the question , we have

x^{2} - 4x = 12

This is not a linear equation , it is simply a quadratic equation , so the situation is non linear

5 0
3 years ago
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