Logarithmic functions are the inverses of exponential functions. The inverse of the exponential funtion y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. A logarithm is really nothing more than an exponent.
the final speed in m/s of the 10.0 kg is 2.53 m/s .
<u>Step-by-step explanation:</u>
Here we have , A 10.0 kg and a 2.0 kg cart approach each other on a horizontal friction less air track. Their total kinetic energy before collision is 96 ). Assume their collision is elastic. We need to find What is the final speed in m/s of the 10.0 kg mass if that of the 2.0 kg mass is 8.0 m/s . Let's find out:
We know that in an elastic collision :
⇒ Total kinetic energy before collision = Total kinetic energy after collision
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the final speed in m/s of the 10.0 kg is 2.53 m/s .
Answer:
2 units
Step-by-step explanation:
Since a reflection doesn't change the angle or line segment measurements, Triangle A'B'C' will be congruent to Triangle ABC. Therefore, segment AB would be equivalent to segment A'B' and since segment AB=2 units, segment A'B' would equal 2 units as well.
Answer:
0.25
Step-by-step explanation:
Given that a club can select one member to attend a conference. All of the club officers want to attend. There are a total of four officers, and their designated positions within the club are President (P), Vice dash President (Upper V )comma Secretary (Upper S )comma nbspand Treasurer (Upper T ).
Sample space would be
a){ {P}, {V}, {S} {T}} is the sample space with notations standing for as given in the question
b) Each sample is equally likely. Hence we have equal chances for selecting any one out of the four.
If probability of selecting a particular sample of size I is p, the by total probability axiom we have

Answer:
The correct answer is B. Linear Relationship