It doesn't really have a role. This is because of the ^2, even if the number were to be a negative it would end up as a positive at the end.
The internet and the government education system. Case closed
Answer:
1320
Step-by-step explanation:
There are three "spots" for balls.
__ __ __
For the first "spot," and without replacement, meaning we don't put the balls back, there are 12 choices.
12 __ __
But for the next spot, there are only 11 choices. And for the next, there are only 10!
12 11 10
Since these are independent events, we multiply them together.
12 x 11 x 10 = 1320
There are 1320 possibilities!
How could we do it on the calculator, much faster? The question says "in order," so we know it's a <em>permutation,</em> not a <em>combination.</em> This is the nPr button on the calculator (math -> prb -> 2). Just type in 12 nPr 3 and you get the same answer, 1320.
Answer:
E = 3072i - 5904ohms
Step-by-step explanation:
From ohms law recalled that E = IR given already
E = voltage (volts)
I = Current (amps)
R = resistance (ohms)
Therefore, by substitution
I = 16i and R = (2+4)ohms(32+66i)
= 6(32+66i) ohms
= (192+396i)ohms
E = (16i)×(192+396i)
E = 3072i + 5904i²
Recall that i² = -1 from complex number
E = 3072i +5904(-1)
E = 3072i - 5904ohms
Answer:
$130
Step-by-step explanation:
Cost = 85
To make 30% profit, he would need to sell them at:
85 + (0.3)(85) = 110.5
Now, he would need to sell them at 110.5 AFTER giving a 15% discount. So essentially we are asking, "<em>What number discounted (decreased) by 15% would give us 110.5??"</em>
<em />
We can let that price be x and write the equation:
x - (0.15)(x) = 110.5
x - 0.15x = 110.5
0.85x = 110.5
x = 110.5/0.85 = 130
The retailer should mark the jacket at $130
