Points (3,6) and (1,-2)
Slope (m) = 
Change in y = -2 - 6 = -8
Change in x = 1 - 3 = -2
Slope (m) = -8 ÷ -2 = 4
Answer:
Answer:1.5*10^9 years
Step-by-step explanation:
The half life of the substance is given i.e 4.5B years. You can change it into seconds by multiplying it with 365 and 86400.
The current no of particles is given 78.88% which will be equal to 78.88 if you assume the substance had 100 no of particle initially.
Determine the decay constant by dividing 0.69 by half life
use these values in the equation for the answer.
[ln and e are inverse functions to eachother]
Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability
using normal distribution table.
From normal distribution table, we get z-score corresponding is
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation





Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.
Answer:
a^2.
Step-by-step explanation:
The greatest common factor is a^2. It cannot be 3ab or 3a^2b because b is not present in the last term (a^2). Similarly there is no 3 or multiple of 3 in a^2.
Answer:
(x,y) --> (1/7x, 1/7y)
Step-by-step explanation: