Answer:
The expression for the total cost is x = 19.99 + 0.99n .
Step-by-step explanation:
Let us assume that the total cost be x.
As given
Sophia pays $19.99 membership fee for an online music store.
If sophia purchases n songs for $0.99 each .
Than the expression becomes
Total cost = Membership fee + Cost of n songs
x = 19.99 + 0.99n
Here n represented the number of songs.
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function
is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Given;

Given differential equations are,
y''-y = 0
So that,
Substitute values in the given differential equation.

Therefore, the function
is the solution of the given differential equation.
Another function;
So that,

Hence, function y(t)=cosht is solution of given differential equation.
Learn more about function here:
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Answer:
The unit rate is 32/25 Walls per gallons.
Step-by-step explanation:
Gallons of paint used by Martin = 5/8 gallons
Portion of wall Martin wants to paint in pints = 4/5 wall.
Rate at which Martin paints the wall: Rate = Portion of wall covered/Paints Used.
Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.
Brayden has 38 bags.
After giving away 15 bags of marbles, Brayden is left with 23 bags.
To find out how many bags he has we do 342 divided by 9 which is 38.
To find out how many marbles are in 15 bags we do 15 x 9 which is 135.
We then do 342 - 135 to find out how many marbles he has left which is 207 and divide 207 by 9 to convert that into bags, which is 23.
Answer:
statistics
Step-by-step explanation:
Statistics is the science of collecting, organizing, analyzing, and interpreting data in order to make decisions. A population is the complete collection of all elements (scores, people, measurement, and so on) to be studied. The collection is complete in the sense that it includes all subjects to be studied.