Step-by-step explanation:
f'(x) is usually used in calculus to denote the first derivative of f(x) so f'(2) will simply be the first derivative of f(2).
f(x)=x+3
f'(x)=1
thus x does affect the first derivative and your answer for f'(x)=1
Answer:
The solution is 
Step-by-step explanation:
To solve this exponential equation, we must write both sides as powers of 3.
The equation given is:
Since 
, we have that 
, so
Then
Since both sides are now powers of 3, we can equal them:
The solution is
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To find the percent of a number, simply divide the numerator by the denominator and then multiply by 100. A numerator is the top part of the fraction. A denominator is the bottom part of the fraction.
So, you divide 5, which is the numerator, by 16, which is the denominator. 5 divided by 16 is equal to 0.3125. Now, multiply 0.3125 by 100. Or to make it simpler, just move the decimal two places to the right. Finally, you get 31.25 which is the percent.
5/16 as a percent is: 31.25%
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A ladder placed against a wall will form a triangle with the wall and the ground. Using geometric ratios you can calculate the missing values. If you have an angle of 75.5 degrees and a hypotenuse/diagonal of 10, you need to calculate the height. Use sine.
Sine=opposite/hypotenuse
Sin75.5=0.97
0.97=opposite/10
10 x 0.97 = 9.7
The maximum height that the ladder can reach is 9.7 meters
