Answer: 591
Step-by-step explanation:
12 x 13= 156
12 x 5= 60 x 2= 120
12 x 5= 60/2= 30 x2= 60
5 x 12= 60
13 x 15= 195
195 + 60 + 60 + 120 + 156= 591
Question 1
well the is a 1:4 Faculty:trainee ratio
if there are 2:20, that would be a 1:10
you just need to find 1/4th of 20 and thats the total
20/4=5
You need five faculty total so
YOU NEED 3 MORE
Question 2
600 pretzels/10 minutes
?pretzels/52 minutes
600x52/10=3120
Question 3
700 people/ 2 tons
20,850,000/ ? tons
20,850,000 x 2 / 700= <span>59,571.4285714 OR about 60,000 tons</span>
Step-by-step explanation:
(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ. Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.
(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ
Divide.
Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)
Rewrite the second fraction using negative exponent.
Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹
Take the limit of both sides as n approaches infinity.
lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹
Substitute with φ.
φ = 1 + φ⁻¹
Solve.
φ² = φ + 1
φ² − φ − 1 = 0
φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)
φ = (1 ± √5) / 2
Since the ratio can't be negative:
φ = (1 + √5) / 2
9 is D
10 is either a or b
