Hello from MrBillDoesMath!
Answer:
225
Discussion:
Sum ( 2n - 1) from n = 1 to 15
= Sum(2n) - Sum(1) from n = 1 to 15
= 2 Sum(n) - Sum(1) from n = 1 to 15
= 2* 15(15+1)/2 - (1 + 1 + .. + 1)
The first value comes from the fact that the sum of the first n integers is n(n+1)/2. The latter value sums 15 1's.
= 2 * 15 * 16/2 - 15 => 2/2 = 1
= 15*16 - 15 => 15*16 = 240
= 240 - 15
= 225
Thank you,
MrB
Answer:
0.01010
Step-by-step explanation:
The decimal equivalent is ...

Rounded to 4 significant figures, it is ...
0.01010
Answer:

Step-by-step explanation:
we know that

Is the equation of a vertical parabola written in vertex form
where
(h,k) is the vertex
a is the leading coefficient
In this problem we have
The vertex is the point (-1,4)
so

substitute

Find the value of a
we have the ordered pair (0,3)
substitute the value of x and the value of y in the quadratic equation and solve for a


therefore

Y = mx +b whre m is the slope and b is the y-intercept.
We have the slope 3/4 so put that instead of m
y = 3/4x + b
Now to find the y-intercept (b), plug the ordered pair in and solve for b.
-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b
So y = 3/4x - 31/4