Answer:
6.557
Step-by-step explanation:
The answer is i think 262.08 miles
Answer: (C) even
<u>Step-by-step explanation:</u>
A function is even when f(x) = f(-x)
A function is odd when f(-x) = -f(x)
f(x) = -2x⁴ + 3x²
f(-x) = -2(-x)⁴ + 3(-x)²
= -2x⁴ + 3x²
f(x) = f(-x) so the function is even
-f(x) = -(-2x⁴ + 3x²)
= 2x⁴ - 3x²
f(-x) ≠ -f(x) so the function is not odd.
31. There are C(5, 2) = 10 ways to choose 2 colors from a group of 10 colors if you don't care about the order. (Here, we treat blue background with violet letters as being indistinguishable from violet background with blue letters.)
Only one of those 10 pairs is "B and V", so the probability is 1/10.
a) P(B and V) = 10%
32. The 12 inch dimension on the figure is 0 inches for the cross section. The remaining dimensions of the cross section are
c) 5 in. × 4 in.
_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5!/(2!·3!) = 5·4/(2·1) = 10
Answer:
To prove:
X+Y.Z=(X+Y).(X+Z)
Taking R.H.S
= (X+Y).(X+Z)
By distributive law
= X.X+X.Z+X.Y+Y.Z --- (1)
From Boolean algebra
X.X = X
X.Y+X.Z = X.(Y+Z)
Using these in (1)
=X+X(Y+Z)+Y.Z
=X(1+(Y+Z)+Y.Z --- (2)
As we know (1+X) = 1
Then (2) becomes
=X.1+Y.Z
=X+Y.Z
Which is equal to R.H.S
Hence proved,
X+Y.Z=(X+Y).(X+Z)
