Step-by-step explanation:
Given functions are:
We have to find the difference of functions
So,
Combining like terms
Hence,
Keywords: Functions, Operations
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Answer:
n = 13
Step-by-step explanation:
7n + 5 = 96
Subtract 5 from both sides to get rid of the 5 on the right side:
7n + 5 - 5 = 96 - 5
7n = 91
Divide both sides by 7 to get rid of the coefficient of n:
7n / 7 = 91 / 7
n = 13
Answer:
1 ) 1 cubic centimeter = 0.000001 cubic meters
2 ) 4 cubic meters = 4000000 centimeters
3 ) 948 cubic meters = 948000 liters
Step-by-step explanation:
1 )
<u>Conversion</u>
1 centimeter = 0.01 meters
1 cubic centimeter
= 0.01 x 0.01 x 0.01
= 0.000001 cubic meters
72 cubic meters
= 72 x 0.000001
= 0.000072 cubic centimeters
2 )
<u>Conversion</u>
1 meter = 100 centimeter
1 cubic meter
= 100 x 100 x 100
= 1000000 cubic centimeters
4 cubic meters
= 4 x 1000000
= 4000000 centimeters
3 )
<u>Conversion</u>
1 cubic meter = 1000 liters
948 cubic meters
= 948 x 1000
= 948000 liters
The rate of change of a given function is given by f'(x)=dy/dx
given that the function is:
f(x)=12+2^(-2x)
f'(x)=2*(-2)e^(-2x)
f'(x)=-4e^(-2x)
the relative rate of change will be the ratio of the derivative to the original function:
f'(x)/f(x)
=(12+2^(-2x))/(-4e^(-2x))
Answer:
Step-by-step explanation:
- Jelly beans weight = 10 pounds
- Each bag = 2/3 pound
<u>Number of bags required:</u>
- 10 ÷ 2/3 = 10 × 3/2 = 30/2 = 15 bags