Answer:
2) k=17/45 and 4) 29/22
Step-by-step explanation:
i believe the answer is X -----> Z
<span>Number of values = 5 (There are 5 values given)
Mean = (82 + 44 + 67 + 52 + 120)/5 = 73
Variance = (1/5) [(82-73)^2 + (44-73)^2 + (67-73)^2 + (52-73)^2 + (120-73)^2] = 721.6
Standard deviation = sqrt (721.6) = 26.86</span>
Answer:
Step-by-step explanation:
1) Red is the parent graph. 2) Blue is the reflection across the x-axis.
3) Green is multiplied by a factor of 5/3. (Click the imaged to see full size, i think.)
(And Thank Desmos graphing calculator)
Answer:

Step-by-step explanation:
Acceleration is second derivative of distance and are related as:

Integrating both sides w.r.to t

Using initial value

We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)