Answer:
457
Step-by-step explanation:
57;;/*_&445
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
<span>A football team game 9 yards in one place and loss 22 yards on the next right of some of integers to find overall change in the field position explain your answer</span>
Answer: 1. 5/7 , 20,28
2. 5/11
3. 10/3
4. 13/4
5. 60
6. 36 mins
7. 3/4 < 33/40
8. 19/24 , 2/3 , 3/8
Step-by-step explanation:
Answer:
23,333 kg
Step-by-step explanation:
G(t) = 30,000 e^(-0.6 t) / (1 + 5 e^(-0.6 t))²
The change in the biomass between 2000 and 2020 is:
∫₀²⁰ G(t) dt
∫₀²⁰ 30,000 e^(-0.6 t) / (1 + 5 e^(-0.6 t))² dt
If u = 1 + 5 e^(-0.6 t), then:
du = -3 e^(-0.6 t) dt
-10,000 du = 30,000 e^(-0.6 t) dt
∫ (-10,000 / u²) du
-10,000 ∫ u⁻² du
10,000 u⁻¹ + C
10,000 / (1 + 5 e^(-0.6 t)) + C
Evaluate between t=0 and t=20.
10,000 / (1 + 5 e^(-0.6 × 20)) − 10,000 / (1 + 5 e^(-0.6 × 0))
10,000 / (1 + 5 e^(-12)) − 10,000 / 6
≈ 8333
The biomass increases by 8,333 kg. So the final biomass is 23,333 kg.
