Answer:
5x + 3y = 12
Step-by-step explanation:
We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).
Parallel lines have the same slope. The slope of the given line is determined by the coefficients 5 and 3 visible above. Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.
Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining: 5(3) + 3(-1) = C. Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is
5x + 3y = 12
Answer:
The population is expected to be 5515 animals in 12 years.
Step-by-step explanation:
This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:
final population = initial population * (1 - r)^(t)
Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:
final population = 6000*(1 - 0.007)^(12)
final population = 6000*(0.993)^12 = 5514.9582 animals
The population is expected to be 5515 animals in 12 years.
Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: 
...the exponents were multiplied.
Using power rule.
We have,
⇒
⇒
...taking exponents individually.
⇒
...
⇒
So our final values are 32p^-15
Answer:
becuz their colour is black and white. b and w is so cute
In the given question we can see that the information,Georgina ran a distance of 3/8 mile in 3 minutes is already provided.
So
In 3 minutes Georgina can run a distance of = 3/8 miles
Then In 1 minute Georgina can run a distance of = 3/(8 * 3) miles
= 3/24 miles
= 1/8 miles.
So it can be said now that in 1 minute the distance that
Georgina can cover is 1/8 miles. If required it can be converted to decimal
value as well.
