Answer:
13k
Step-by-step explanation:
Given: 
Finding the equivalent expression.
We know the rule of addition is that adding two positive integers will give positive result or sum.
Now, lets find the equivalent expression of
.
∴ 
Hence, the required equivalent expression is 13k.
Answer:
Maximum error for viscosity is 17.14%
Step-by-step explanation:
We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

The implicit derivative with respect to the time would be

If we multiply everything by dt we get

Remember that the error is given by
therefore doing some algebra we get that

Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that

Which means that the maximum error for viscosity is 17.14%.
Half of the distance from one side, through the middle, to the other side.
circumference: 3.14*radius*2
The correct answer is 3.25
Answer:
see attached
Step-by-step explanation:
At 1100 ft per second for 18 seconds, the sound travels 19,800 ft, or 3.75 miles farther to my friend's house. The set of points that lie 3.75 miles farther from my friend's house than from my house form a hyperbolic curve. This is illustrated by the blue line in the attached graph. (My house is the red dot on the left; my friend's house is the red dot on the right.)
The lightning occurred somewhere on the blue curve.
___
If the lightning occurred on the line between our houses, it was 1/8 mile from my house and 3 7/8 mile from my friend's house. (That's close!)
_____
The formula for the curve in the graph is the distance formula applied to the set of points (x, y). It equates the difference of distance from the two houses to 3.75 miles. If one were to write the equation of the hyperbola in standard form, the equation would look a little different and a restriction would need to be applied so the formula would describe only one branch of the hyperbola.