Answer:
1 -> f
2 -> e
3 -> d
4 -> a
5 -> c
6 -> g
7 -> b
Step-by-step explanation:
Let consider the options as a,b,c,d,e,f,g
1. Bell curve -> f
2. Data set -> e
3. Histogram -> d
4. Mean -> a
5. Normal distribution -> c
6. Standard deviation -> g
7. Variance -> b
A vertical compression implies a reduction in the y-values of the absolute value function. Therefore, the term that we use to accomplish the reduction cannot be attached to the x in the equation. If so, we would end up with a horizontal stretch, not a vertical compression.
Compression implies a reduction, or dividing, so our term will be 1/5. This should be placed outside of the absolute value bars so that the compression affects only the y-values.
Correct answer: B. g(x) = 1/5|x|
Hope this helps! :)
Answer:
77.5 m/s
Step-by-step explanation:
Once the ball is dropped from the height, it converts all its potential energy into kinetic energy:
Using this equation, and the data we have to find the velocity of the ball:
Answer:
21110
Step-by-step explanation:
Adding the two ODEs gives
Differentiating once gives
The first ODE lets you simplify this a bit:
Let
, so that
, and reduce the order of the ODE to get
Solving this ODE for
shouldn't be a problem for you; you would find that
Since
, integrating once with respect to
gives the general solution for
:
Now plug in the second derivative of this solution into the first ODE to find another ODE in
alone.
Integrate with respect to
and you get