Answer:
-1,9
Step-by-step explanation:
I got them wrong so it showed me the right answer
Answer:
So, the first three nonzero terms in the Maclaurin series are:

Step-by-step explanation:
From exercise we have the next function y = 6 sec(3x).
We know that Maclaurin series for the function sec x, have the following form:

So, for the given function y = 6 sec(3x), we get:

So, the first three nonzero terms in the Maclaurin series are:

Answer:
1.8 cycles
Step-by-step explanation:
The average number of clock cycles per instruction is given by the sum of the product of each possible number of cycles by its likelihood.
1 cycle: 50%
2 cycles : 25%
3 cycles : 20%
4 cycles : 5%

The average number of clock cycles per instruction is 1.8.
The equation of the line is 
Explanation:
The given equation is 
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation
, then, the slope is given by

Hence, the slope is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-2,3) and the slope
, in the above formula, we get,

Simplifying, we get,



Therefore, the equation of the line is 
Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

Thus, the measure of CF is approximately 13, alternative D.