Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
2.5 weighs more. It’s a greater number than 2.48
Answer:
(1,1) x=1 y=1
Step-by-step explanation:
Answer:
89 hours
Step-by-step explanation:
First solve all the deductions.
For each multiply the $10, which you are paid, and the percentage.
For FICA: $10 x 0.0765 = $0.77 per hr
For Fed tax: $10 x 0.12 = $1.2 per hr
For State tax: $10 x 0.08 = $0.8 per hr
Now subtract the remaining pay:
10 – 0.77 – 1.2 – 0.8 = $7.23
Time required = $640 / $7.23 per hr
Time required = 89 hrs
Final answer:
89 hours
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
