Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
Total number of ways is then calculated as:
Answer:
b/c
Step-by-step explanation:
Sin B = opposite side/ hypotenuse = AC/AB
Answer:
the 4th imagen math box
Step-by-step explanation: trust me pleses
Answer:
x = g + y - C
Step-by-step explanation:
<u>Step 1: Add y to both sides</u>
g + y = C+ x - y + y
<em>g + y = C + x</em>
<em />
<u>Step 2: Subtract C from both sides</u>
g + y - C = C + x - C
<em>g + y - C = x</em>
<em />
Answer: x = g + y - C
Step-by-step explanation:
First, find the intersections.
4x = x³
0 = x³ − 4x
0 = x (x² − 4)
0 = x (x + 2) (x − 2)
x = -2, 0, 2
So we will consider two intervals: -2 ≤ x ≤ 0, and 0 ≤ x ≤ 2.
Pick a point within each interval and evaluate both functions at that point. Compare to see which function is greater.
At x = -1, y₁ = 4x = -4, and y₂ = x³ = -1. So y₂ > y₁.
At x = 1, y₁ = 4x = 4, and y₂ = x³ = 1. So y₁ > y₂.
So the integral would be:
∫₋₂⁰ (x³ − 4x) dx + ∫₀² (4x − x³) dx
