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:
2.)
s yes she is correct
3.)
4.)C
,D
,E
6.)
Step-by-step explanation:
im not very good at word problems so i didnt do the secnd page sorry
The equation for percentage increase is
{(New value - old value) / old value} x100%
Therefore it should be
{(22.5 - 19.5) / 19.5} x 100%
=15% (rounded to nearest whole number)
Answer is B
The average speed is 97346 feet per hour approximately
<em><u>Solution:</u></em>
Given that blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12 hours 22 minutes
To find: average rate of speed in feet per hour
<u><em>The speed is given by formula:</em></u>

From given information,


We know that,

Therefore,

Substituting the values in above formula,

Thus average speed is 18.4366 miles per hour
<em><u>Let us convert to feet per hour</u></em>
We know that,
1 mile = 5280 feet
Therefore,
18.4366 miles = 18.4366 x 5280 feet = 97345.248 feet
Thus average speed is 97346 feet per hour approximately
The point was reflected over the y -axis and translated up 4 units.
The point was translated left 10 units and up 4 units.
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3. (-2,-2)
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B' = (4,-7)