Answer:
Yes
Step-by-step explanation:
1) Cos 300 = Cos (360 - 60) = Cos 60 {Cos 360 - theta = Cos theta}
= 1/2
Sin 300 = Sin (360 - 60) = -Sin 60 =
3) 3π/4 = 3*180/4 = 135
Cos 135 = Cos (90 + 45) = -Cos 45 =
Sin 135 = Sin (90 + 45) = Sin 45 =
Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term:
Second term:
Common difference is
Now, the explicit formula for an arithmetic sequence is
where, a is first term and d is common difference.
Putting a=5 and d=-2, we get
It can also be written as
Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is or and domain is all interest greater than or equal to 1.
The given questions seems incomplete below is the correct question
A highly selective boarding school will only admit students who place at least 1.5 standard deviations above the mean on a standardized test that has a mean of 200 and a standard deviation of 26. What is the minimum score that an applicant must make on the test to be accepted?
Answer:
Minimum score is 239
Step-by-step explanation:
Minimum score = mean + standard deviation above mean*standard deviation
= 200 + 1.5*26
= 200+ 39
Minimum score = 239
Step-by-step explanation:
length=x
width=x-1
x + x + (x-1) + (x-1) = 54
4x - 2 = 54
4x = 56
x = 14 ft
x = 14 ft
x - 1 = 14 - 1 = 13 ft
x = 14 ft
x - 1 = 14 - 1 = 13 ft
Perimeter= x + x + (x-1) + (x-1)
54 ft = 14 + 14 + (14 - 1) + (14 - 1)
54 ft = 28 + (13 +13)
54 ft = 54 ft