Answer:
a mathematical object that possesses a bound is bounded
Step-by-step explanation:
a lower bound is a value that is less than or equal to every element of set of data. a upper bound is a value that is greater than or equal to every element of set of data.
Answer:
4x cm.
Step-by-step explanation:
Suares have to have all 4 sides equal. The area of the rectangle (2x8) is 16.
16/4 = 4, so the square has sides of 4cm each to equal an are of 16. (4x4=16)
Consider the contrapositive of the statement you want to prove.
The contrapositive of the logical statement
<em>p</em> ⇒ <em>q</em>
is
¬<em>q</em> ⇒ ¬<em>p</em>
In this case, the contrapositive claims that
"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."
The first equation is captured by a system of linear equations,

or in matrix form,

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

and this is what we wanted to prove. QED
Put the problem into a proportion to make it easier to solve.
32 x
=
16 100
You can use cross products to simplify this proportion. Multiply 32 by 100, and set that number equal to 16 *x.
Your equation should now look like this
3200=16x
You are trying to get the variable alone on one side, so you should divide both sides by 16.
If this is performed correctly, then your final answer should be
x=200.
It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams