Answer:
r is the common ratio (in geometric sequence)
d is the common difference (in arithmetic sequence)
n is the term number
a1 is the value of the first term
an is the value of the nth term
Step-by-step explanation:
arithmetic sequence formula:
an=a1+d(n-1)
geometric sequence formula:
an=a1•(r)^(n-1)
Answer:
2827.5
Step-by-step explanation:
You have to divide 82 inches (distance) by the speed of the snail which is 0.029mph then you get the answer above.
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at 
, the equation will contain a 
term.
If we start with 
we have a parabola, concave down, with vertex at and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have
Now we only have to fix the fact that this parabola doesn't land at 
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want
such that:
Plugging these values gets us
As you can see in the attached figure, the parabola we get satisfies all the requests.
In this proble, we are asked to determine the roots of the quadratic equation x^2 + 11 x = -24. The standard form is x^2 + 11 x + 24 = 0. the second term is the negative sum of the roots and the third terms is the equal to the product of the roots.Hence the roots should be -3 and -8.
Answer:
72
Step-by-step explanation:
substitiute the value of p =8(9)
8x9=72
, we have
