322kmh x1000= 322,000 meters per hour
That is the relationship between km and m
Because we are turning bigger units into smaller we the number will increase.
example 2 wks = 14 days two became 14 - it increased
1. Multiply the value of the house by the percent:
250,000 x 0.9 = 225,000
Divide the amount the owner insured by the clause amount:
191,250/225,000 = 0.85
Multiply that by the amount of damage:
0.85 x 80,000 = 68,000
They will receive $68,000
2. Follow the same steps as above:
180,000 x 0.75 = 135,000
101,250 / 135,000 = 0.75
0.75 x 50,000 = 37,500
They will receive $37,500
Answer: 73
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
73
I believe that it is 45 degrees. i could be wrong, so make sure to check!
Step-by-step explanation:
(a) ∫₋ₒₒ°° f(x) dx
We can split this into three integrals:
= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx
Since the function is even (symmetrical about the y-axis), we can further simplify this as:
= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx
The first integral is finite, so it converges.
For the second integral, we can use comparison test.
g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.
We can show that g(x) converges:
∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).
Therefore, the smaller function f(x) also converges.
(b) The width of the intervals is:
Δx = (3 − -3) / 6 = 1
Evaluating the function at the beginning and end of each interval:
f(-3) = e^(-9/2)
f(-2) = e^(-2)
f(-1) = e^(-1/2)
f(0) = 1
f(1) = e^(-1/2)
f(2) = e^(-2)
f(3) = e^(-9/2)
Apply Simpson's rule:
S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]
S ≈ 2.5103
