4
27. 1st you multiply 7×6 equals 42 ....carry 4
×6. over 2
2. 2nd you do 2×6 equals 12... add 4 +12
=162. <-------then you get this
<h3>
Answer: Choice A</h3>
The -3 out front of that function means |-3| = 3 is the amplitude, which is the largest of the four functions.
In general, the sine function is
y = A*sin(B(x-C)) + D
where |A| is the amplitude. In the first answer choice, A = -3 so |A| = |-3| = 3.
Cosine has the same format since cosine is just a phase shift of sine.
Using the equations y-3x=3 and x+y=31 you can find that x=7 and y=24. There for x is the smaller of the two numbers.
Answer:
b. is $34 per ounce
Step-by-step explanation:
If the production cost were less, a competitor would drive the price down. If the production cost were more, the supplier would go out of business.
Since we're at equilibrium, the production cost must be equal to $34 per ounce.
The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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