Answer:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
Step-by-step explanation:
20/3
Every nth term takes the form of a + n*d, where a is the first term.
So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).
equate them both:
94 - 13d = 54 - 7d
40 = 6d
d = 40/6
1st one
74.8 ft÷3.4 inches=264
2.1 in x 264=46.2 inches so the width should be 46.2 inches
0.70275
Data provided in the question:
4e²ˣ⁻¹ -1 = 5
now solving for 'x'
⇒ 4e²ˣ⁻¹ = 5 + 1
or
⇒ 4e²ˣ⁻¹ = 6
⇒
now,
taking natural log both sides, we get
⇒ 2x - 1 =
also,
we know
thus,
⇒ 2x - 1 = ln(3) - ln(2)
⇒ 2x - 1 = 1.0986 - 0.6931
⇒ 2x - 1 = 0.4055
⇒ 2x = 0.4055 + 1
⇒ 2x = 1.4055
⇒ x = 0.70275