Step-by-step explanation:
Let's pick two points on the line: 
and 
Let's calculate the slope of this line using these points:
With this value of the slope, we can write the general slope-intercept form of the equation as
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
Therefore, the slope-intercept form of the equation is
Answer:
It would take a PlayStation 5 and 2 games to equal an Xbox and 10 games.
Step-by-step explanation:
I made a list that increase in the increments of the game price.
Something like this:
900—400~consoles alone
950—460~1 game
1000–520~2 games
1050—580~3 games
1100—640~4 games
1150—700~5 games
1200—760~6 games
1250—820~7 games
1300—880~8 games
1350—940~9 games
1400—1000~10 games
Left side is PlayStation 5 and right side is Xbox. The first row is the price of the consoles alone and then each row after that is the price of the console with an additional game. As you can see, the third row down on the left, the PlayStation 5 with 2 games is $1,000. If you look at the eleventh row on the right, you can see that Xbox with 10 games is also $1,000
- We are to find the time (number of minutes) is would take for 23 mg of the substance to be remaining.
- The formula for time is written as:
t = [t1/2 x In(Nt/No)] / In 2
where:
t1/2 = Half life = 4 minutes
No = Initial quantity of the sample = 90 mg
Nt = Amount of the sample left = 23 mg
t = time elapsed = ?
Hence,
t = [4 x In (23/90)] / -In 2
t = 7.8731645610906 minutes
Approximately to the nearest hundredth = 7.87 minutes
Therefore, there will be 23mg of substance remaining after 7.87 minutes.
To learn more, visit the link below:
brainly.com/question/16624562
Answer:
Step-by-step explanation:
We need to simplify out the given exponential expression . The given expression to us is ,
We can use the <u>Law of </u><u>Exponents</u> to simplify the given expression . Recall that ,
Note that , we can write ,
Therefore our expression becomes ,
Simpify using the Law of Exponents ,
Open the brackets in exponent ,
Simplify to get final expression ,
