Answer:
60 minutes
Step-by-step explanation -
14=14t
14*1=14
namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.
Answer:
Garden eel, Great white shark, sea urchin, Sea turtle
Step-by-step explanation:
Given that:
Animal ____ altitude
Sea turtle __ - 502
Sea urchin __ - 452
Garden eel __ - 396
Great white shark __ - 430
Arranging in decreasing order of elevation :
-396 > - 430 > - 452 > - 502
Hence, the animals can be arranged in decreasing order of elevation thus :
Garden eel, Great white shark, sea urchin, Sea turtle
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
