Answer: tan^2ø
(i’m gonna use ø as theta because i can’t find it)
explanation:
sin^2ø-1=cos^2ø because of one of the pythagorean identities
sin^2ø/cos^2ø is tan^2ø because sin/cos is tan- opposite/hypotenuse divided by adjacent/hypotenuse is opposite/adjacent
hope that helps- you can comment if you need any more explanation :)
Applying log rules leaves us with the following equation:
x^2 + 8 = 6x
Change to standard form and solve using factoring.
x^2 - 6x + 8 = 0
(x - 4)(x - 2) = 0
x = 4
x = 2
Hope this helps!
Answer:
2(2x + 5)(2x - 5)
Step-by-step explanation:
2(2x + 5)(2x - 5)
= (4x + 10)(2x - 5)
= 8x² - 20x + 20x - 50
= 8x² - 50
Answer:
We are 95% confident that the average weight of the heaviest egg that is still medium size is 3.52 oz
Step-by-step explanation:
Mean = 3.2 oz, sd = 0.13 oz
Assuming there are 3 heavy eggs, n= 3, degree of freedom = n-1 = 3-1 = 2, t-value corresponding to 2 degrees of freedom and 95% confidence level is 4.303
Error margin = t×sd/√n = 4.303×0.13/√3 = 0.32 oz
Upper limit (heaviest egg that is still medium size) = mean + error margin = 3.2 + 0.32 = 3.52 oz
If the waitress works x hours in the evening, according to the problem, she works x-1.75 hours in the afternoon. We have given that she works 5.125 hours in the afternoon, which is x-1.75=5.125. BY solving this equation, we find unknown x, which is equal to 6.87 hours and it is the answer to the problem.
