It is the best option, 6 Teaspoons.
Answer:
Step-by-step explanation:
Number of the bags = between 8 and 15 and
-
1/2 of bags contain money
- 1/6 of bags contain candy
- 1/3 of bags contain a toy
As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.
<u>
The number between 8 and 15 and divisible by 6:</u>
So the number of bags is 12
The common difference if there is one is the constant difference that occurs between any term and the term before it.... in this case:
There is no common difference,
dx=18,20,16,18 the difference or velocity is not constant...
d2x=2, -4,2 the acceleration is not constant...
d3x=-6,6 the thrust is not constant
Now we might be tempted to say that:
d4x=12 and say that that is constant and we COULD make a quartic equation fit all the data points, but without further data points in the sequence there is no mathematical proof that the quartic equation would produce accurate data points outside of the range given...
And solving a system of five equations for five unknowns is tedious for such a problem...a^4+bx^3+cx^2+dx+e=y
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
Answer:
.081 hours per dollar
$12.333 dollars per hour
Step-by-step explanation:
I'm a bit confused whether you just want hours per dollar or also dollars per hour, so I'll answer both.
First, for the dollars per hour, you want to do 74 divided by 6 equals 12 1/3. So each hour you get paid $12.333
Fort the hours per dollar, you do 6 divided by 74 equals .081.