The Corrected Problem is :
2:x and 12:18 identify the value of x that makes each pair of ratios equivalent .
Solution:
If a pair of Ratios are equivalent then we can write
Answer: Marta worked 13 hours overtime.
Step-by-step explanation:
1): You do 25 x 36 to get the amount of money she can make before she starts to make double.
36 x 25 = 900
2): Minus $900 from $1550
$1550 - $900 = $650
3): Divide $650 by $50
$650 / $50 = 13 hours worked overtime
Answer:
2 ( x+3) (x+1)
Step-by-step explanation:
2x^2+8x+6
Factor out a 2
2(x^2 +4x+3)
Factor in side the parentheses
What multiply to 3 and adds to 4 (3(1=3 3+1 =4)
2 ( x+3) (x+1)
Half-life = [elapsed time * log (2)] / [log (begng amt / endg amt)]
half-life = (3 days * 0.30102999566) / log (1 / .58)
<span>half-life = 0.903089987 / log </span>
(<span>
<span>
<span>
1.724137931)
</span></span></span>half-life = <span>0.903089987 / 0.23657200643</span>
half-life =
<span>
<span>
<span>
3.8174 days
Source:
http://www.1728.org/halflife.htm
</span></span></span>
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars 
(not all zero) such that
which leads to the system of linear equations,
From the third equation, we have 
, and substituting this into the second equation gives
and in turn, 
. Substituting these into the first equation gives
which tells us that any value of 
will work. If 
, then 
and 
. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
