Answer:
1/27 is the answer
Step-by-step explanation:
It is 1/(3^3) which is 1/27
Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
Answer:
Option D. 3.73
Step-by-step explanation:
we know that

and

step 1
Find cos(X)
we have

we know that

substitute




step 2
Find tan(x)

substitute

step 3
Find sin(y)
we have

we know that

substitute




step 4
Find tan(y)

substitute

step 5
Find tan(x+y)

substitute
![tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73](https://tex.z-dn.net/?f=tan%28x%2By%29%3D%5B1%2F%5Csqrt%7B3%7D%2B1%7D%5D%2F%5B%7B1-1%2F%5Csqrt%7B3%7D%7D%5D%3D3.73)
Answer:
Step-by-step explanation:
Note that 128 = 64*2. The square root of 128 is thus 8sqrt(2). Answer B is the only one that could be correct.