Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
95
Step-by-step explanation:
Average =
Sum
Count
=
332
4
= 83
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here
(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r
As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:
In case of given sequence,
So to find the 5th term
(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:
Putting the values of a_1 and r
Hence,
1. Geometric Sequence
2.
3.
Keywords: Geometric sequence, common ratio
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Answer:
x = -10
y = 13
Step-by-step explanation:
-3x + 2y = 56
-5x - 2y = 24
__________ +
-8x____ = 80
x______= 80/-8
______x = -10
-3x + 2y = 56
-3(-10) + 2y = 56
30 + 2y = 56
2y = 56 - 30
2y = 26
y = 26/2
y = 13
The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.
Especially, he has been credited with proving the following five theorems: a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same; the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.
In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.
In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a theorem and is maximum extensively used in the domain of science.
2-1
and interval = [4]
since, function fext is continuous in ginen
interval. And also
+(4) = 42+4
4-1
=
20 = 6667
$(5/4) = ($145/2
stone-1
= 5.833
simle, f(4) > $(5/2), hence Intermediate
Theorem & applies to the indicated
proved.
Now,
= 6
C-1
C-5c +6 = 0
C=2 or c=3
1=
3 or
C= 2, 3
<= 2
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