Answer:138
Step-by-step explanation:
First plug in the c and d values into the expression:
6(5)^2-5(4)+8
Remember PEMDAS, so you do 5^2 first getting you 25.
6(25)-5(4)+8
Continue with PEMDAS and multiply -5 and 4, and that gets you -20.
150-20+8
Now you simplify the expression to get: 138.
<span>Your answer would be 360 the sum of the exterior angles of any convex polygon is 360 degrees</span>
<span>6 over pi
This is because after using the slope formula, you get 3/(pi/2), which when simplified is your answer</span>
Answer:
C
Step-by-step explanation:
If you fill in x=0, you are left with the y intercept. In the picture you can see it must be larger than y=10. This invalidates answer A and D.
The x-coordinate top of the parabola ax²+bx+c=0 is given by y = -b/2a, so immediately we can see -b has to be positive. This leads you to answer C because -9x implies b=-9, and --9 is positive.
The wavefunction for a particle in a one-dimension box is a well-known problem, which has as a solution:
Ψ(x) = √(2/l) sin (nπx/l)
When the box has three dimensions, the general solution is simply the multiplication of the solutions for each dimension, therefore:
Ψ(x) = K · sin (n_x·π·x / l) · sin (n_y·π·y / l) · sin <span>(n_z·π·z / l)</span>
