Answer:
25$ each
Step-by-step explanation:
<h3>
Answer: Choice B. 8/15</h3>
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Explanation:
x = 0.53333333... the 3's go on forever
10x = 5.3333333..... we have infinitely many 3's here as well
100x = 53.333333..... same story
Each time we multiply both sides by 10, we move the decimal point over 1 spot to the right.
Focus on this system of equations
Note how the decimal points line up so we can see both right sides have the same 33333... pattern
If we subtract those equations straight down, the left hand side turns into 90x because 100x-10x = 90x
The right hand side terms subtract to 48. The infinite number of 3's after the decimal will cancel out when we subtract. So we basically have 53-5 = 48.
After those subtractions, we now have the new equation 90x = 48
Divide both sides by 90 and reduce
90x = 48
90x/90 = 48/90
x = 48/90
x = (6*8)/(6*15)
x = 8/15
8/15 = 0.53333333....
Answer:
Let h(x) = y
y = 4^(x+3) -2
For x intercept let y = 0
2 = 4^(x+3)
2= 2^2(x+3)
1 = 2x +6
2x = -5
2x = -5
Divide by 2
x = -5/2
The x intercept for the function is ( -5/2, 0)
Hope this helps.
The exact values of the remaining <u>five</u> trigonometric functions of theta are
- sinθ = √3/2
- cosecθ = 2/√3
- cosθ = -1/2
- secθ = -2
- cotθ = -1/√3
Since tanθ = -√3.
The remaining <u>five</u> trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining <u>five</u> trigonometric functions of theta are
- sinθ = √3/2
- cosecθ = 2/√3
- cosθ = -1/2
- secθ = -2
- cotθ = -1/√3.
Learn more about trigonometric functions here:
brainly.com/question/4515552
