Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4
The radius of a sphere is calculated through the equation,
V = 4πr³ / 3
where r is the radius. Substituting the radius given in the equation,
V = 4π x (3,760.4 miles)³ / 3 = 2.23 x 10^11 miles
Thus, the volume of the planet Venus is calculated to be 2.23 x 10^11 miles, approximately.
Answer:
2010.
Step-by-step explanation:
We have been given an exponential growth formula 
, which represents number of passengers traveling by airplane since 1990.
To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:
Take natural log of both sides:
Using property 
, we will get:
This means that in the 20th year since 1990, 900 million passengers would travel by airline.
Therefore, 900 million passengers would travel by airline in 2010.
Answer: 80 dollars
Step-by-step explanation:
You can find a percentage with one of two ways.
For hundreds like this, oftentimes it's quicker and more simple to think of it as just 100. The proportion from 100 to 500 is just 5. 16% of 100 is 16. So, multiply 16 * 5. You would get 80.
The second method is you can use 0.16 * 500. It's the more conventional method, and you get 80, like the last method.
Exponent rules : (a^m)^n = a^(mn) and a^0 = 1
(4^9)^5 * 4^0 =
4^45 * 1 =
4^45 <==
