Surface area of small sphere = 1441cm^2
Surface area of bigger sphere = 2567cm^2
Surface area of largest sphere = 1441 + 2567
= 4008cm²
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We have been given that an employee shreds 341 pages in 11 minutes of work.
First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.
Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.
Therefore, employee will shred 620 pages in 20 minutes.
Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) =
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = --------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 =
eⁿ =
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 =
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am
Answer:
16x² +48x +36
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a +b)² = a² +2ab +b²
We want to match this form.
__
<h3>comparing terms</h3>
Comparing the known terms, we see ...
16x² = a² ⇒ a = 4x
36 = b² ⇒ b = 6
<h3>filling in the missing term</h3>
The missing term is the linear term:
2ab = 2(4x)(6) = 48x
? = 48