Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:

To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:

i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.


Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression
will be equivalent to :

So, the expression is equivalent to <em>1</em>.
Answer:
For the first one its: Volume = 402.12in³
For the second one its: Volume = 201.0619 in³
Step-by-step explanation:
For the first one work:
Volume = 3.1416 x 42 x 8
= 3.1416 x 16 x 8
For the second one work:
Volume = 3.1416 x 42 x 4
= 3.1416 x 16 x 4
Answer:
random since it doesn't have a specific opinion, it is required by bank service
Step-by-step explanation:
Answer:
576 Units
Step-by-step explanation:
The way your teacher wants you to do it:
1. We know that multiplying a length by four gives us the perimeter of a square.
1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16
1b. We know the perimeter is 96. So: 40x+16=96
2. Solving for x, we get x=2
3. Plugging our solved x into the given length (10x+4), we see that the length of a side of the square is 10*2+4=24.
4. We know that the area of a square can be found by squaring the side of a square.
4a. 24*24=576.
5. The area is 576 units.
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Easier Solution:
1. We know that the perimeter is length*4.
2. We set L to length.
2a. 4L=96
2b. L=24
3. We know that the length square is area.
4. 24*24=576.
Answer: The process of combining matrices, vectors, or other quantities under specific rules to obtain their product.