Universe exploded into existence
<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
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Step-by-step explanation:
Confidence interval = mean ± margin of error
CI = μ ± ME
The mean is μ = 8.7.
Margin of error = critical value × standard error
ME = CV × SE
At 95% confidence and 9 degrees of freedom, CV = 2.262.
SE = s / √n
SE = 3.3 / √10
SE = 1.04
The margin of error is:
ME = 2.262 × 1.04
ME = 2.36
CI = 8.7 ± 2.36
CI = (6.34, 11.06)
Answer:
= 9y^4 -6y^3 -17y^2 -18y -10
Step-by-step explanation:
(3y^2 + 2y + 2) x (3y^2 – 4y – 5)
9y^4 - 12y^3 - 15y^2 + 6y^3 -8y^2 -10y +6y^2 -8y -10
= 9y^4 -6y^3 -17y^2 -18y -10
So Boris has to pay:
10% * 8190 = 819
50% * 662 = 331
50% * 188 = 94
so in total he pays: 819 + 331 + 94 = 1244
deducted each week is (52 weeks in a year):
1244/52 = 23.92
so each week $23.92 are deducted from his paycheck
