ANSWER
A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3
EXPLANATION
The numbers are given in standard form.
The first criteria we will use to order them is the exponents.
The bigger the exponents the bigger the number.
The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.
The correct choice is A.
To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
Answer:
x = 2
Step-by-step explanation:
2 to the second power is 4. 4 subtracted by 4 is zero.
Answer:
People are more likely to avoid approaching difficult situations as they fear failure or looking bad to others if they get it wrong. They lack the point of view of being looked upon as brave for attempting something that others avoid.
Check the picture below.
as we can see in the picture, the lengths for YZ and ZX are very straight, let's get the side YX
![~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Y(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad X(\stackrel{x_2}{2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ YX=\sqrt{[2 - 0]^2 + [4 - (-2)]^2}\implies YX=\sqrt{2^2+(4+2)^2} \\\\\\ YX=\sqrt{4+6^2}\implies YX=\sqrt{40} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~+~~6~~+~~\sqrt{40}~~\approx~~14.32} ~\hfill \stackrel{\textit{\Large Area}}{\cfrac{1}{2}(2)(6)\implies 6}](https://tex.z-dn.net/?f=~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20Y%28%5Cstackrel%7Bx_1%7D%7B0%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20X%28%5Cstackrel%7Bx_2%7D%7B2%7D~%2C~%5Cstackrel%7By_2%7D%7B4%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20YX%3D%5Csqrt%7B%5B2%20-%200%5D%5E2%20%2B%20%5B4%20-%20%28-2%29%5D%5E2%7D%5Cimplies%20YX%3D%5Csqrt%7B2%5E2%2B%284%2B2%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20YX%3D%5Csqrt%7B4%2B6%5E2%7D%5Cimplies%20YX%3D%5Csqrt%7B40%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Perimeter%7D%7D%7B2~~%2B~~6~~%2B~~%5Csqrt%7B40%7D~~%5Capprox~~14.32%7D%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Area%7D%7D%7B%5Ccfrac%7B1%7D%7B2%7D%282%29%286%29%5Cimplies%206%7D)
