You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.
Answer:
The value of rate of decrease of volume = - 3600 
Step-by-step explanation:
According to Boyle's law P V = C ------- (1)
Pressure ( P ) = 100 k pa = 10 
Volume ( V ) = 900 
Put these values in equation ( 1 ) we get,
⇒ C = 10 × 900 = 9000 N-cm = 90 N-m
Differentiate Equation ( 1 ) with respect to time we get,
⇒ V
+ P
= 0
⇒ V
= - P 
⇒
= -
---------- (2)
This equation gives the rate of decrease of volume.
Given that Rate of increase of pressure =
= 40 
C = 90 N-m
P =
pa = 10 
V = 900
Put all the above values in equation 2 we get,
⇒
= -
× 40
⇒
= - 3600 
This is the value of rate of decrease of volume.
Answer:
B it seems like it's the most suitable answer
Answer:
X^2 -4
Step-by-step explanation:
Not entirely sure but would u just expand the brackets. As this is a difference between 2 squares the answer should be correct but it not sure.
Answer:
- The function f(x) = 9,000(0.95)^x represents the situation.
- After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
- The range values, in the context of the situation, are limited to whole number
Step-by-step explanation:
The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.
Using x=2, we find the population in 2 years is expected to be about ...
f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120
Using x=4, we find the population in 4 years is expected to be about ...
f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330
Since population is whole numbers of bees, the range of the function is limited to whole numbers.
The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.
The choices listed above are applicable to the situation described.