<span>[x + 2 - (5x + 5)] ² =
[x + 2 - 5x - 5]² =
[x - 5x + 2 - 5]² =
[-4x - 3]² =
(-4x)² - 2.(-4x).3 + (-3)² =
16x² + 24x + 9
Answer:
</span>
<span>
</span>
Answer:
An interesting experiment is given. We need to address various questions based on our knowledge of calculus.
Step 2
Part (a)
Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours
Time taken for the radius to become 0 = t2 and the same can be obtained by solving:
r = 2 - √t2 = 0
Hence, t2 = 22 = 4 hours
Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours
Step 3
Part (b)
r(t) = 0.5t for 0 ≤ t ≤ 4
and
r(t) = 2 - √(t - 4) for t > 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
It starts with a base cost of $5.25 and increases by $2.50 for every ticket sold. Add 2.50(number of tickets) to the admission cost to get the total cost.
Answer:
<u>Usain Bolt's average speed in yards per second was 11.4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
World record of Usain Bolt = 9.589 seconds
Distance of the world record = 100 meters
1 yard = 0.9144 meters ⇒ 100 meters = 109.36 yards
2. What was Usain Bolt's average speed in yards per second?
Let's recall that the formula of speed is:
Speed = Distance/Time
Replacing with the values we know:
Usain Bolt's Speed = 109.36/9.589
<u>Usain Bolt's Speed = 11.4 yards per second (Rounding to one decimal place)</u>
Answer:95.75
Step-by-step explanation:
13x + 4y = 487
13*8 + 4y = 487
4y = 487 - 13*8
y = (487 - 13*8)/4
y = dollars per tree = 95.75
