Please help me thank you so much. Just not sure of my answers
1 answer:
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:
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Answer:
<h2><u><em>3.5 Km</em></u></h2>Step-by-step explanation:
the length of the hypotenuse is 4 Km, it is probable that you are looking for the value of the cathetus a.
it is a right triangle and we use Pythagoras
a² = 4² - 2²
a² = 16 - 4
a² = 12
a = √12
a = 3.46 (round 3.5)
Answer:
.
Step-by-step explanation:
We have been an division problem: .
We will simplify our division problem using rules of exponents.
Using product rule of exponents we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents we will get,
Using product rule of exponents we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent we will get,
Therefore, our resulting quotient will be .