I'm not good at graphing, but desmos.com is an online graphing calculator that works really well.
Answer:
x = 60
Step-by-step explanation:
The sum of exterior angles in a rectangle is equal to 360
so to find the value of x we need to use all given values and write an equation:
x + 2x + x + 2x = 360 add like terms
6x = 360 divide both sides by 6
x = 60
77.1% chance that all 3 orders are correct.
For three independent events to find the probability of each one occurring we multiply the probabilities together. .917*.917*.917 = .77109 or 77.1 percent chance of all three outcomes being favorable.
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:
![\int\limits^b_a {f(x)} \, dx \approx \sum\limits_{k=1}^{n}f(x_{k}) \Delta x \\where\ \Delta x = \frac{b-a}{n} \ and\ x_{k}=a+\Delta x \times (k-1)](https://tex.z-dn.net/?f=%5Cint%5Climits%5Eb_a%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5Capprox%20%5Csum%5Climits_%7Bk%3D1%7D%5E%7Bn%7Df%28x_%7Bk%7D%29%20%5CDelta%20x%20%5C%5Cwhere%5C%20%5CDelta%20x%20%3D%20%5Cfrac%7Bb-a%7D%7Bn%7D%20%5C%20and%5C%20x_%7Bk%7D%3Da%2B%5CDelta%20x%20%5Ctimes%20%28k-1%29)
Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).
Hi Desperate!
anyways the equation for constant variation is y=kx
3y=6x is it, but we don't want the 3.
so we divide on both sides to cancel out the 3.
y=2x