Answer:
Following are the calculated points to the given question:
Step-by-step explanation:
so,


so,

so,

so,


so,

The roller coasters potential energy is greater at point 1 because, it's the beginning and the energy hasn't yet been used. When it reaches point 4 the energy is low because it was just moving.
I hope this helps I might be wrong and there was no picture to go along with the problem :)
Answer:
The probability is 0.2, or 20%.
Step-by-step explanation:
A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is
N = (number of blue marbles) + (number of green marbles) = 25
and the number of relevant outcomes (marble being green) is n:
n = (number of green marbles) = 5
So, the probability is
P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%
Answer:
f(x) = (x - 7)² - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Vertex Form: f(x) = a(bx - c)² + d
- Completing the Square: (b/2)²
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 14x + 63
<u>Step 2: Rewrite</u>
- Separate: f(x) = (x² - 14x) + 63
- Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
- Simplify: f(x) = (x - 7)² - 14
Answer:
p = 17.5
Step-by-step explanation:
This is the answer because:
1) First, we have to isolate x
2) To isolate x, first -6 from +6 and 48
+6 - 6 = 0
48 - 6 = 42
Equation: 2.4p = 42
3) Now we are left with 2.4p = 42
4) Next, divide 2.4 from 2.4 and 42
2.4/2.4 = 0
42/2.4 = 17.5
5) We are left with
p = 17.5
Therefore, the answer is p = 17.5
Hope this helps!