Let us consider the function given. It is
. The coefficient of x (here 1/2) gives the frequency of the curve. What this means is that we see 1/2 a cycle between x=0 and x=
. Put another way, to see a full cycle we would need
. The period of the function given is
.
Let us think about a cycle of cosine. It starts (x=0) and ends (
) its cycle at its highest value (here f(x)=1). It is at it's lowest (here f(x)=-1) in the middle (
) it is between the highest and the lowest that it crosses the x-axis.
That is, it has an x-intercept between 0 and
That is, at
The next one comes between
and
. That is, at
The attached shows the function and it's x-intercepts. You can see that they occur at:
. This is the arithmetic sequence that contains the x-intercepts of the function.
As you can see the nth zero will occur at
If you are using a calculator, simply enter 16×100÷40, which will give you the answer.
Answer:
Step-by-step explanation:
Equation at the end of step 1
3 - 8 • (7 - 5n)
STEP
2
:
Final result :
40n - 53
The percentage of your savings that I use is 60%
This shows that the amount of money the organization will raise in total is $25,000.
1) Given
Total amount saved = $4500
Amount used = $2,700
Percentage of money used = Amount used/Total amount saved × 100%
Percentage of money used = 2700/4500 × 100%
Percentage of money = 27/45 ×100
Percentage of money used = 2700/45
Percentage of money used = 60%
Hence the percentage of your savings that I use is 60%
2) Let the amount of money the organization will raise in total be x
Since the 45% of the money they raise represents $11,250, hence:
45% of x = $11,250
0.45x = 11,250
x = 11,250/0.45
x = 25,000
This shows that the amount of money the organization will raise in total is $25,000
Learn more at brainly.com/question/18811795
Answer:
Below in bold
Step-by-step explanation:
I AM ASSUMING that CDEF is a Rhombus.
If it is than triangle DEG is right-angled.
so 2x + 18 + 5x + 2 = 90.
7x = 90 - 20 = 70
x = 7.
So m < CDF = 5x + 2
= 5(10) + 2
= 52 degrees.
m < DCE = 2(10) + 18 = 38 degrees.
The diagonal bisects < DCF so m < ECF = 38 degrees.
So m < DCF = 2 * 38 = 76 degrees.
Opposite angles of a rhombus are equal so m < DEF = 76 degrees.