let's firstly convert the mixed fractions to improper fractions and then to do away with the denominators, let's multiply both sides by the LCD of all denominators.
Answer:
V = 21145.01 mm³
Step-by-step explanation:
Given that:
The radius of the gumball = 30 mm
The radius of the spherical hollow-core = 28 mm
Consider the radius of the gumball to be and the radius of the spherical hollow-core to be . Then;
The volume of the gumball can be determined by using the formula of a sphere.
V = 21145.01 mm³
Answer:
So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions
Step-by-step explanation:
Answer: B
The series converges because it has a sum of 4.
Step-by-step explanation:
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.