Note that x is the hypotenuse of a right triangle. Applying the Pyth. Thm.,
x^2 = 2^2 + 6^2, or x^2 = 4 + 36 = 40.
Thus, the hypotenuse is +sqrt(40), or 2sqrt(10).
Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.
So:
a)

Where t is the number of weeks.
We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 =
31psi
Answer: d
Step-by-step explanation:
<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
Answer:
10000 + 8000 + 300 + 7
Step-by-step explanation:
18,307
= 10000 + 8000 + 300 + 7