Answer:
the roots are n = 1 + √15 and n = 1 - √15
Step-by-step explanation:
In this case I would immediately rewrite n² - 2n - 5 = 10 as
n² - 2n = 10 + 5 = 15.
To complete the square: Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:
n² - 2n <em>+ 1 - 1 </em> = 15
Next, rewrite n² - 2n + 1 as the square of a binomial:
(n - 1)² = 15
Finally, take the square root of both sides:
n - 1 = ±√15
so that the roots are n = 1 + √15 and n = 1 - √15
Answer:
The volume of candy that is needed by Polly is 1,437.3 cubic inches
Step-by-step explanation:
What we have to do here is to find the volume of the sphere with a diameter of 14 inches
If the diameter is 14 inches, then the radius is 14/2 = 7 inches
This is because the radius is half the measure of the diameter
To find the volume of the sphere, we use the formula below;
Volume of sphere
= 4/3 * pi * r^3
pi = 22/7
r = 7 inches
Volume is;
4/3 * 22/7 * 7^3
= 4/3 * 22 * 7^2 = 1437.3 cubic inches
(1/2)/2=3/x
we can cross multiply, aka multiply both sides by 2x
(1/2)x=2*3
(1/2)x=6
times 2/1 both sides
x=12
Answer:
If 12,000 are put at an account with 2.5% compound interest in 15 years your total would be $17,379.58
Answer:
-1/3
Step-by-step explanation:
1/3 is 0.33333... and then you just put a negative sign in front of it.
