Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
From the unit circle sin 30 = sin pi/6 = 1/2.
The pattern in this sequence is that the numbers will continue to decrease by 2.5.
Answer:-0.3n≤5.4
by WD Liu · 2008 · Cited by 77 — Let X1,...,Xn be a random sample from a p-dimensional population distribution. Assume that c1nα ≤ p ≤ c2nα for some positive constants c1,c2.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the question says -12x ≤ -72.the sign ≤ means less than or equal to. so we will divide both sides by -12 to get the value of x. and that wil give us x ≤ 6, the sign did not change because we used a sign common to both sides to divide it. that is slso the reason why we had a positive value.
