Answer:
2-120
4-240
7-420
Step-by-step explanation:
<em>there are 60 people in each tour group so you multiply 60 by the number of tour groups.</em>
ordered pairs:
<em>(2,120)</em>
<em>(4,240)</em>
<em>(7,420)</em>
hope this helped you!
have a great day!!
1. You convert all the numbers into decimals.
a. For 8 1/9 you multiply 8x9 and add the numerator which in this case is one, so the equation would be 8x9=72 then 72+1= 73
b. For 81/10 I used a calculator for accuracy and I just divided 81 by 10 because the fraction line can also be used as a division sign. For this I got 8.1
2. Now I looked at all the numbers I had including the fractions I converted to decimals... 8.115, 8.55, 73, and 8.1
3. Lastly, I put the numbers in order from least to greatest: 8.1, 8.115, 8.55, and 73
4. In order to figure out which one is the smallest and largest, I just added zeros on the end of the numbers so they would all be the same: 8.1-->8.100, 8.115 I kept the same because it already had 3 decimal places, 8.55--> 8.550, and 73--> 73.000
5. Then i could tell which number was the largest by the decimal place numbers.
**Hope this was helpful... It's kind of hard to explain online but hopefully you have a better understanding of how to do it!**
Answer:
Step-by-step explanation:
Answer:
15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Step-by-step explanation:
We are to find the derivative of the questions pointed out.
15) K(t) = 5(5^(t)) - 2(3^(t))
Using implicit differentiation, we have;
K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P(w) = 2e^(w) - (2^(w))/5
P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)
Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)
Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Answer:
Therefore 
and 
are fundamental solution of the given differential equation.
Therefore and are linearly independent, since 
The general solution of the differential equation is
Step-by-step explanation:
Given differential equation is
y''-y'-20y =0
Here P(x)= -1, Q(x)= -20 and R(x)=0
Let trial solution be 
Then, 
and 
Therefore the complementary function is = 
Therefore and are fundamental solution of the given differential equation.
If 
and 
are the fundamental solution of differential equation, then
Then and are linearly independent.
Therefore and are linearly independent, since
Let the the particular solution of the differential equation is
and
Here 
, 
,
,and 
=0
and
=0
The the P.I = 0
The general solution of the differential equation is
