Answer:
8
Step-by-step explanation:
4x ÷ y
x = 1/2
y = 1/4
4(1/2) ÷ 1/4
4 × 1/2 = 2
2 ÷ 1/4
2 × 4 = 8
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
<u>Sum of terms:</u>
- Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
- S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
- 2020 = 10(2a₁ + 19d)
- 202 = 2a₁ + 19d
<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>
- 202 = 2a₁ + 38k
- 101 = a₁ + 19k
<u>Possible values of k= 1,2,3,4,5</u>
- k = 1 ⇒ a₁ = 101 - 19 = 82
- k = 2 ⇒ a₁ = 101 - 38 = 63
- k = 3 ⇒ a₁ = 101 - 57 = 44
- k = 4 ⇒ a₁ = 101 - 76 = 25
- k = 5 ⇒ a₁ = 101 - 95 = 16
<u>As per above, </u>
- a) possible progressions are 5
- b) the smallest and largest possible values of the first term are 16 and 82
Remember
∛(ab)=(∛a)(∛b)
also
i¹=i
i²=-1
i³=-i
i⁴=1
so
∛-2i=(∛2)(∛-i)=(∛2)(i)=i∛2
It would take him four and a half days, or you could round it up to five if that's what you need. Either way, he would then have 3/4 of the fence done
Answer:
???
Step-by-step explanation:
I'm sorry, but I have no clue. I'm also looking for the answer, but the person before me just wasted an opportunity to help. Again, I'm sorry.
EDIT: Actually, I just figured out that the answer is D. You're welcome :)