2.0x10^-5 or 2.0E-5 —this is because as a small decimal number, you move the decimal to the right five spaces and then add a negative to the decimal to indicate that when you translate back (from scientific notation to 0.00002) you will move the decimal to the left
The answer is a = 3/4 = 0.75
First get rid of the paranthesis,

Then set the denominators equal:

Then remove the denominators and solve:

Eliminate -12a^2 by adding 12a^2 to both sides:

Take the fourth root of them or take the square root twice:
![\sqrt[4]{256 {a}^{4} } = \sqrt[4]{81} \\ 4a = 3](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B256%20%7Ba%7D%5E%7B4%7D%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B81%7D%20%20%20%5C%5C%20%204a%20%3D%203)
Divide both sides by 4:
Answer:
Step-by-step explanation:
A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.
For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.
Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET
Answer:
V = 9.828 * 10^7 mm^3
a= 9.828 b = 7
9,827,000 mm^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 1.2 *10^3 * 3.9*10^2 * 2.1*10^2
We multiply the numbers out front and add the exponents (the powers of 10)
V = (1.2*3.9*2.1) * 10^(3+2+2)
V = 9.828 * 10^7 mm^3
Rewriting this in standard form means moving the decimal 7 places to the left. Since there is not enough places add zeros
9,827,000 mm^3
Answer:
(–∞, 0)
Step-by-step explanation:
The graph of the absolute value parent function f(x) = |x| is shown in the attached diagram.
We can clearly see that from -∞ to 0, the function is decreasing and from 0 to +∞, it is increasing. This is the basic, parent absolute value function.
THe questions asks, when is it decreasing, so clearly, it is from -∞ to 0.
This is the answer.