Answer: 31 is a prime number because only 1 times itself equals 31. no other two factors equal 31 as a product.
Step-by-step explanation:
Answer:
The distance when x = 6km is D = 498 KM
Step-by-step explanation:
Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km
What we do simply here is to substitute the value 6km as x in the equation
The equation is
D = 4x^3 - 10x^2 -6
Substituting x = 6, we have
D = 4(6^3) -10(6^2) -6
D = 864-360-6
D = 498 km
Answer:
The population will be of 2400 in 36 years.
Step-by-step explanation:
The equation for the population of plants after t years follows the following format:
In which P(0) is the initial amount of plants and r is the yearly rate which it increases.
Assuming that the initial population is 300
This means that P(0) = 300.
The doubling time of a population of plants is 12 years.
This means that P(12) = 2*300 = 600.
We use this to find r.
![\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B%281%2Br%29%5E%7B12%7D%29%7D%20%3D%20%5Csqrt%5B12%5D%7B2%7D)
So
How large will the population be in 36 years
This is P(36)
The population will be of 2400 in 36 years.
Answer:
The coordinates (12,7) would NOT be a solution to the system of linear inequalities shown below.
Step-by-step explanation:
If you do the graphing and you look at all your options of coordinates, (12,7) is the only one that is not in the shaded areas or in the lines of the inequalities. Therefore, (12,7) should be the answer to that question. :)
