F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
k = 96 : 16
k = 6
f ( 2 ) = 6 * 2² = 6 * 4 = 24
Answer: D ) 24
<u>Description</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>Randomized</u><u> </u><u>block design</u><u> </u><u>for</u><u> </u><u>the</u><u> </u><u>experiment</u><u> </u><u>:</u>
Randomized block design involved the divison of subjects into units, called block. After which treatment are randomly applied to elements or subjects in each block.
Here, we make divide the 30 mature trees into 3 which means we have <em>3 blocks of 10 mature</em> trees each. The citrus <em>fertilizers A, B and C</em> are then applied randomly to each of the three units.
B.)
The randomized block design used in these experiments will correct for the possible error which could be introduced die to systematic error since each of the treatments(fertilizers A, B and C) would be used in each of the blocks.
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Answer: -4/5
Step-by-step explanation:
Ok so cos(x) = -4/5 and we know that:
.
If we plug that in and solve for sin(x) we get:
Now we have to consider: <em>is sin(x) positive or negative?</em>
We have that 
.
From the unit circle, we know that sin(x) is negative in this range. Therefore sin(x) actually equals -3/5.
But the question asks: <em>what is 
?</em>
Here's where another important equation comes in:
In this case, we have alpha = x and beta = pi/2.
So, that looks like:
sin(x + pi/2 )= sin(x)cos(pi/2) + cos(x)sin(pi/2)
We already have what sin(x) and cos(x) are. We also know that sin( pi/2) = 1 and cos(pi/2) = 0.
sin(x + pi/2 ) = (-3/5)(0) + (-4/5)(1).
Therefore we simply have
sin(x + pi/2) = -4/5
