Loge 70.81 = a
Log to the base e is also written as ln
ln 70.81 = a
Answer:
y=3x+19.
Step-by-step explanation:
1) according to the condition the line 't' is parallel to the line 's', it means, the equation of the line 't' is: y=3x+C, where C - unknown number.
2) in order to calculate the 'C', it need to substitute the given coordinates into the equation of the line 't', then:
-2=3*(-7)+C, ⇒ C=19.
3) if C=19 and the equation of the line 't' was y=3x+C, then it is possible to make up the full required equation:
y=3x+19.
Answer:
[see below]
Step-by-step explanation:
I used a graphing program to graph the given system. I also graphed the points given.
Options B's choice lies in the double shaded area, so it would be a solution to the system.
See the graph attached!
Hope this helps you!
The volume of a sphere can be calculated as

Where r is the radius of the sphere
We want to calculate half of the volume, then we must divide that volume by 2

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

Let's put it into our equation

The problem says to use

Then

Final answer:
The formula that can be used to calculate the volume of water inside the fish bowl is
Answer:
Mix A is the most orangey, Mix C is the least orangey
Step-by-step explanation:
Mix A largest proportion of concentrate to water
Mix C is the smallest proportion of concentrate to water