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:
2. unabated
3. vindication
4. commence
5. prudence
6. denunciation
Step-by-step explanation:
The ODE is linear:
Multiplying both sides by 
gives
Notice that the left side can be condensed as the derivative of a product:
Integrating both sides with respect to yields
Since 
,
so that
Answer:
frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:
brainliest?
Answer:
24 square feet
Step-by-step explanation:
Given:
Dorian is spreading mulch on his triangular flowerbed.
The base is 8 feet.
The height is 6 feet.
Question asked:
How many square feet of mulch will he need for the flowerbed?
Solution:
The base of triangular flowerbed = 8 feet.
The height of triangular flowerbed = 6 feet.
now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-
As we know:
Thus, 24 square feet of mulch he will need for the flowerbed.
