Nearest ten is 47,126
nearest hundered 47,120
nearest thousand 47,100
and nearest ten thousand is 50,000
Answer:
8923 years
Step-by-step explanation:
Half life of C-14 = 5730yrs
decay rate= 34%
Halt life (t^1/2) = (ln2) / k
5730 = (ln2) /k
k = (ln2) / 5730
k = 1.209 * 10^-4
For first order reaction in radioactivity,
ln(initial amount) = -kt
ln(34/100) = -(1.209*10^-4)t
-1.0788 = -(1.209*10^-4)t
t = -1.7088/ -1.209*10^-4
t = 8923 years
Answer:
$27,72
Step-by-step explanation:
The information that we have its
- The cost gas its $3.60 per gallon
- Irene's car had 5.3 gallons
- Irene's car tank is 13 gallons
so now for the know, How much did Irene spend on gas?
First
The gas that its necesary for filled de tank its
13gallons-5,3gallons=7,7 gallons
The cost for 7,7 its
7,7g*3,6$/g= $27,72
Since <em>N</em>/2 leaves a remainder, <em>N</em> must be odd and ends with 1, 3, 5, 7, or 9.
<em>N</em>/5 also leaves a remainder, so <em>N</em> is not divisible by 5, so it does not end in 5.
The only correct choice is then 9, since
1 = 0•5 + 1 and 1 = 0•2 + 1
3 = 0•5 + 3 and 3 = 1•2 + 1
7 = 1•5 + 2 and 7 = 3•2 + 1
9 = 1•5 + <u>4</u> and 9 = 4•2 + <u>1</u>
<u />
Alternatively, the given information is equivalent to saying

Then you can use the Chinese remainder theorem to find <em>N</em>.
Answer:
D:) (2,2,) is the Answer
Step-by-step explanation:
Solve the following system:
{X - 2 Y = -2 | (equation 1)
{3 X - 2 Y = 2 | (equation 2)
Swap equation 1 with equation 2:
{3 X - 2 Y = 2 | (equation 1)
{X - 2 Y = -2 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 X - 2 Y = 2 | (equation 1)
{0 X - (4 Y)/3 = (-8)/3 | (equation 2)
Multiply equation 2 by -3/4:
{3 X - 2 Y = 2 | (equation 1)
{0 X+Y = 2 | (equation 2)
Add 2 × (equation 2) to equation 1:
{3 X+0 Y = 6 | (equation 1)
{0 X+Y = 2 | (equation 2)
Divide equation 1 by 3:
{X+0 Y = 2 | (equation 1)
{0 X+Y = 2 | (equation 2)
Collect results:
Answer: {X = 2 , Y = 2