Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
This is probably wrong, but from what I know, there are 16 vertices, 24 edges, and 10 faces. I’m not sure if this is wrong, but I did some math and some research, and this is what I got.
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by 
, where x is the number of years.
Since,
i.e. 
.
Therefore, the monthly growth rate function becomes,
i.e. 
.
i.e. .
Hence, the monthly growth rate is i.e. .
Also, the growth factor is given by 
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
1 inch = 2.54 cm
100 cm * (1 inch)/(2.54 cm) = 39.37 inches
Penny is taller
Answer:
B.
Mn = Mn-1 + 125 for n > 1 ; M1 = 3,875
Step-by-step explanation:
Since they tell us after 1970, the first data would be that of 1971 and also that if we started since 1970, we do not know the data of 1969, therefore answer B is correct.
Replacing:
Let M1 = 1971 then Mn-1, that is M0 = 1970, we know that the population of 1970 the population is 3750, because it would be 125 less than the subsequent year, and in 1975 there are 3875. Therefore:
in n = 1
M1 = M0 + 125
3875 = 3750 + 125
this gives an equality, thus fulfilling the equation.
