Answer:
x = 8 or x = -8
Step-by-step explanation:
x^4 - 256 = 0
<=>x^4 - 4^4 = 0
<=>(x - 8)(x + 8)(x^2 + 64) = 0
Case 1 :
x - 8 = 0
<=>x = 8 (choose)
Case 2:
x + 8 = 0
<=>x = -8 (choose)
Case 3:
x^2 + 64 = 0
<=>x^2 = -64 (nonsense)
so x = 8 or x = -8
Done :))
Answer:
22
Step-by-step explanation:
Generate the terms of sequence T using the nth term formula n² - 3
a₁ = 1² - 3 = 1 - 3 = - 2
a₂ = 2² - 3 = 4 - 3 = 1
a₃ = 3² - 3 = 9 - 3 = 6
a₄ = 4² - 3 = 16 - 3 = 13
a₅ = 5² - 3 = 25 - 3 = 22
22 is common to sequence S and T
Answer:
Step-by-step explanation:
area including track=area of 2 semi circles+area of rectangle
=2×1/2×π×46²+86×65
=2116 π+5590
area of grass=2×1/2×π×40²+80×65=1600π+5200
≈10226.55 m²
area of track=2116π+5590-1600π-5200
=516π+390
≈2011.06 m²
1/4 = 0.25
5/8 = 0.625
20% = 0.20
So now we have: 0.20 < 0.25 < 0.3 < 0.625 < 0.85
So the solution is 20%, 1/4, 0.3, 5/8, 0.85
Answer:
B
Step-by-step explanation:
41 + 40 + 57.28 ft, 138.28 ft.