Answer:
16
Step-by-step explanation:
Answer and Step-by-step explanation: The graph is shown in the attachment.
a. ΔR on [1,2] is mathematically expressed as:
ΔR = R(2) - R(1)
which means difference of population of rabbits after 2 months and after 1 month.
R(2) = 
![\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]](https://tex.z-dn.net/?f=%5CDelta%20R%20%3D%20100%5B%5Cfrac%7B4%7D%7B5%7D%20-%20%5Cfrac%7B2%7D%7B5%7D%20%5D)
40
Difference of rabbits between first and second months is 40.
b. R(0) = 100(
)
R(0) = 0
Initially, there no rabbits in the population.
c. R(10) = 
R(10) = 400
In 10 months, there will be 400 rabbits.
d. R(t) = 500
t = 12.5
In 12 and half months, population of rabbits will be 500.
Answer:
4a^2 (8a+3)
Step-by-step explanation: it’s right
Answer:
The length of the first piece = 41 cm
Step-by-step explanation:
Let the length of the first piece = a
Let the length of the second piece = b
Let the length of the third piece = c
we are given the following:
b = 3a . . . . . (1) (The 2nd piece is 3 times as long as the 1st piece)
c = 6 + a . . . . (2) (the 3rd piece is 6 centimeters longer than the 1st piece)
a + b + c = 211 . . . . . (3) ( the yarn has a total length of 211 centimeters)
Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:
a + b + c = 211
a + (3a) + (6 + a) = 211 ( remember that b = 3a; c = 6 + a)
a + 3a + 6 + a = 211
5a + 6 = 211
5a = 211 - 6 = 205
5a = 205
∴ a = 205 ÷ 5 = 41 cm
a = 41 cm
Therefore the length of the first piece (a) = 41 cm
now finding b and c
substituting a into equation 1 and 2
b = 3a
b = 3 × 41 = 123
∴ b = 123 cm
c = 6 + a
c = 6 + 41 = 47
∴ c = 47 cm
Answer:
17=J
L= 180-17
= 163
K=163
L=163
J=17
Step-by-step explanation:
