The question is asking which of the answer choices is NOT equivalent to
2^-3 = 1/(2^3) = 1/8
You can determine this by expressing each of the answer choices in a manner that lets you compare them to 2^-3 or to 1/8.
A. -2^3 = -8 . . . . . this is not equivalent to 2^-3 or 1/8. This is the appropriate selection.
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Let's check the others, just to be sure.
B. 2(1/4)^2 = 2(1/16) = 2/16 = 1/8 . . . . is equivalent to 1/8
C. 2^2 × 2^-5 = 2^(2-5) = 2^-3 . . . . is equivalent to 2^-3
D. (1/2)^3 = 1/2^3 = 1/8 . . . . is equivalent to 1/8
Our choice of A is correct, as all these other choices are equivalent to the given expression.
Answer:
x=25
Step-by-step explanation:
Since both triangles are similar, you can set them up as a proportional problem
x/20=32/(8+20+12) Solve for x, you can so cross multiply method.
32x=800
x=25
Answer:
B
Step-by-step explanation:
Meet at the middle of the two lines
C I think because all of them add up to it so it would be 5seconds
9514 1404 393
Answer:
3
Step-by-step explanation:
For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...
f(x) = ((x -2)x -7)x +5
and ...
x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3
Then ...
f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5
= (3+2√3 -7)(2+√3) +5
= 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5
f(1/(2 -√3)) = 3
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If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.
