Answer with Step-by-step explanation:
a.Let given vector
a=8i-j+4k
By using the formula
Magnitude of a vector=
Where x=Coefficient of i
y=Coefficient of j
z=Coefficient of k
Unit vector=
By using the formula
The unit vector=
b.Let vector b=-2i+4j+2k
Length of vector=6
Therefore, the vector in the direction of <-2,4,2> with length 6 is given by =
The vector in the direction of <-2,4,2> with length 6 is given by =
c.
Let v=
Therefore, the vector v in component form=
This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:
45 * 3 = 132 + (12 * 3) Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168
Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:
45 * 3 = 132 + (12 * 3) Now, let's turn all the 3s into cs.
45c = 132 + 12c Then, using algebra, we can solve this equation.
-12c - 12c
33c = 132
33c/33 = 132/33
c = 4
And finally, we have our answer, B! I hope both methods help you in your further studies.
Answer:
0.786
Step-by-step explanation:
786/1000
0.786
The possible value of y are 16, 32 and 64
<h3>How to find the values of an
exponential table?</h3>
The table above is an exponential table.
Therefore, let's confirm the ratio of the y axis.
8 / 4 = 2
4 / 2 = 2
Therefore, the other y axis can be gotten as follows:
y = 8 × 2 = 16
y = 16 × 2 = 32
y = 32 × 2 = 64
y = 64 × 2 = 128
Therefore, the possible value of y are 16, 32 and 64
learn more on exponential table here: brainly.com/question/12314854
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