Answer:
Step-by-step explanation:
x = 106
The amplitude is (10.2 - 5.15) or (5.15 - 0.1), which gives the same answer of 5.05 ft.
The period is 24 hours.
The initial value (at t = 0) is 5.15 ft.
The general equation for the sine wave is:
f(x) = (amplitude)*sin(x*2pi/period) + initial value
f(x) = 5.05*sin(x*pi/12) + 5.15
Answer:
Leo is 11 years old
Step-by-step explanation:
* Lets explain how to solve the problem
- Alea is 5 times 3 less than leo's age
- Alea is 40 years old
- Assume that leo's age is x
* Lets change the words to equation
∵ Leo is x years old
∵ Alea is 5 times 3 less than Leo's age
- That means when we subtract 3 from Leo's age and multiply the
difference by 5 the result is Alea's age
∴ Alea's age = 5(x - 3)
- Multiply the two terms of the bracket by 5
∴ Alea's age = 5x - 15
∵ Alea is 40 years old
- Equate the expression of Alea's age by her age
∴ 5x - 15 = 40 ⇒ the equation to find Leo's age
- Add 15 to both sides
∴ 5x = 55
- Divide both sides by 5
∴ x = 11 ⇒ the solution of the equation
∵ x represents the Leo's age
∵ x = 11
∴ Leo is 11 years old
Answer:
8x² + 96x + 288 = 8(x + 6)²
Step-by-step explanation:
96÷8=12
288÷8=36
8x² + 96x + 288 = 8(x² + 12x + 36)
= 8(x² + 2(1)(6)x + 6²)
= 8(x + 6)²
Answer:
M=2
Step-by-step explanation:
m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6
