Answer:
6.43
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Step-by-step explanation:
length of side x will be
Tan tita = opp/adjacent
tan65 = x/3
tan 65 is 2.14
so...you are left with 2.14=x/3
by cross multiplying
x= 2.14 × 3
= 6.43
The probability of drawing a goldfish on the first draw is 16 / ( 16 + 24 ), or 16/40, or 2/5. Supposing that the first fish drawn is actually a goldfish, then there are 15 goldfish left among 39 fish, and the probability of drawing a goldfish on the 2nd draw is 15/39, or 5/13. The (joint) probability of drawing 2 goldfish on the 1st 2 draws, without replacement, is (5/13)(2/5) = 2/13.
Answer:
A, D, H
Step-by-step explanation:
The function models exponential decay because the factor is 0.8 which is < 1
0.8 means 80% of the previous which is a decay of 100 - 80 = 20%
50(0.8^x)
50(0.8²)
= 32
Answer:
We just need to evaluate and get f(2i)=0, f(-2i)=0.
Step-by-step explanation:
Since
, then
, and we can apply this when we evaluate
for 2i and -2i.
First we have:
![f(2i) =(2i)^3 + 4(2i)=2^3i^3+8i=8(-i)+8i=0](https://tex.z-dn.net/?f=f%282i%29%20%3D%282i%29%5E3%20%2B%204%282i%29%3D2%5E3i%5E3%2B8i%3D8%28-i%29%2B8i%3D0)
Which shows that 2i is a zero of f(x).
Then we have:
![f(-2i) =(-2i)^3 + 4(-2i)=(-2)^3i^3-8i=-8(-i)-8i=8i-8i=0](https://tex.z-dn.net/?f=f%28-2i%29%20%3D%28-2i%29%5E3%20%2B%204%28-2i%29%3D%28-2%29%5E3i%5E3-8i%3D-8%28-i%29-8i%3D8i-8i%3D0)
Which shows that -2i is a zero of f(x).