Answer:
Short piece: 9 ft
Long piece: 41 ft
Step-by-step explanation:
The first step to solving this problem is to translate the given information into some equations. Since we know the total length of the rope is 50 feet, the solution when adding the equation for the short piece and the equation for the long piece must be 50. The information from the second sentence can be translated into a mathematical expression. The phrase "5 more than 4 times" has two key words. They are "times" and "more". "Times" implies multiplication while "more" implies addition. Therefore this sentence becomes the expressions 5+4x, where x is the length of the short piece.
The equations we have from the problem statement are:
L = 5+4x where L represents the length of the long piece and x represents the length of the short piece
x + L = 50
Substituting the equation for the long piece into the equation for total length:
x + (5+4x) = 50
5 + 5x = 50
5x = 45
x = 9 ft
Substituting x = 9 into the equation for the long piece:
L = 5 + 4(9)
L = 5 + 36
L = 41 ft
Checking the answers by substituting x = 9 and L = 41 into the equation for total length:
x + L = 50
9 + 41 = 50
50 = 50
Answer:
B
Step-by-step explanation:
Answer: goole
Step-by-step explanation:
49-392 +7/ 18
C. just shorten fraction and you'll only get 1/(y²z²)
you'll get (6xy²z²)/(6xy⁴z⁴)=1/(y²z²)
Logarithmic functions and exponential functions are inverse and opposite of one another
The logarithmic function is 
, and the length at 8 pascals is 3 units
<h3>How to determine the
logarithmic function</h3>
The exponential function is given as:
Express f(x) as y
Swap the positions of x and y
Take the logarithm of both sides
Apply the rule of logarithm
Divide both sides by log(2)
Apply the change of base rule of logarithm
When the strength is 8 pascals, we have:
Express 8 as 2^3
So, we have:
Evaluate log 2 base 2
Hence, the logarithmic function is , and the length at 8 pascals is 3 units
Read more about logarithmic and exponential functions at:
brainly.com/question/11464095
