Answer:
Population of dice mice after one year = 2000
Population of wood rats after one year = 1000
The population of deer mice is growing faster than the popular of wood rats
Step-by-step explanation:
The expression for population = dN/dt = rN
Upon integration N = rN²/2
Therefore for population N = 200 and r= 0.1
N after one year = (0.1 x 200²)/ 2 = 2000
Therefore for population N = 100 and r= 0.2
N after one year = (0.2 x 100²)/ 2 = 1000
Hence the population of deer mice is growing faster than the popular of wood rats
Answer:
x = 1 y = 3 z = 1
Step-by-step explanation:
(1) x - 3y - z = -9 (2) -2x + y + 2z = 3 (3) 2x + y + 3z = 8
2x(1) <u>2x - 6y - 2z = -18</u> (2) <u>-2x + y + 2z = 3</u>
- 5y = -15 2y + 5z = 11
y = 3 2(3) + 5z = 11
6 + 5z = 11
5z = 5
z = 1
x - 3(3) - 1 = -9
x - 9 - 1 = -9
x - 10 = -9
x = 1
Note: If you write your equations across your paper, then the work can just flow down the paper. It makes it so much easier to show the work you have done. OK?
x³ + y³ + z³ - 3xyz is a multiple of x+y+z.
<h3>What is a multiple?</h3>
It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.
Put x + y + z = 0
= x³ + y³ + z³ - 3xyx
= 0(x² + y² + z² - xt - yz - zx)
= x³ + y³ + z³ - 3xyz = 0.
x³ + y³ + z³ = 3xyz
Learn more about multiples on:
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A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:
rate = 36 miles / 45 min = 0.8 miles per min
distance traveled = 0.8 miles per min ( 60 min ) = 48 miles
If you change both to a fraction you would see that you have 1/6 and 1/4 (.25 as a fraction). So 1/5 would be in between them.
You could also change both as a decimal. 1/6 =.166666 and .25 so any number in between them would be correct such as .2 which is the same as 1/5.
