3^2(6-2)*(4-6)/3
=(9*4)*(-2/3)
=36*(-2)/3
= -72/3
= -24 (answer)
<span>2x(x2 + 2x - 6)
</span>First add what is in the "(" wich is 2x+2x
<span>2x(4x - 6)
</span>Second multiply the 2x by the 4x & -6
<span>8x-12x
Now subtract the -12x from the 8x
8x-12x = -4x
</span>
Answer:
11/18
Step-by-step explanation:
The desired probability is the sum of ...
... (probability of choosing a coin) × (p(heads) on that coin)
Since the coins are chosen at random, we assume the probability of choosing a given coin is 1/3. Then ...
... p(heads) = (1/3)·(1/2) + (1/3)·1 + (1/3)·(1/3) = 1/6 + 1/3 + 1/9 = (3 +6 + 2)/18
... p(heads) = 11/18
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
_____
<em>Additional comment</em>
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.
Answer:
2 a
Step-by-step explanation:
Possible derivation:
d/dx(2 a x + 2 a y)
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + d/dx(2 a y)
The derivative of x is 1:
= d/dx(2 a y) + 1 2 a
The derivative of 2 a y is zero:
= 2 a + 0
Simplify the expression:
Answer: 2 a
