We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
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Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:
We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
Step-by-step explanation:
Six more than the quotient of four and a number x:
Answer:
thank you
Step-by-step explanation:
Answer:
<u>1. 6(4x+3y</u>
<u>1. 6(4x+3y2. 8(2x+5y</u>
Step-by-step explanation:
<u>1. 6(4x+3y)</u>
The GCF of 24 and 18 is 6 so it is outside of the parenthesis. It cannot be reduced anymore because 3 isnt a perfect square.
<u>2. 8(2x+5y)</u>
The GCF of 16 and 40 is 8 so it is outside of the parenthesis. It cannot be reduced anymore because 5 isnt a perfect square.
<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
