Answer:
(-1,0): x axis and 2nd quadrant, (3,-3): fourth quadrant, (-4,-3): 2nd quadrant, and (7,6): first quadrant
Step-by-step explanation:
Answer:
The probability would be 7/12
Step-by-step explanation:
Since making or missing a shot is a binary situation, we know that we can subtract the probability from 1 and get the opposite.
1 - 5/12 = 7/12
To order fractions with like denominators, look at the numerators and compare them two at a time. It is helpful to write a number in a circle next to each fraction to compare them more easily.
Answer:
Step-by-step explanation:
The surface area of the square prism is obtained by using the following formula:
![A_{s} (t) = 4\cdot l(t)\cdot h(t) + 2\cdot [l(t)]^{2}](https://tex.z-dn.net/?f=A_%7Bs%7D%20%28t%29%20%3D%204%5Ccdot%20l%28t%29%5Ccdot%20h%28t%29%20%2B%202%5Ccdot%20%5Bl%28t%29%5D%5E%7B2%7D)
The rate of change of the surface area can be found by deriving the function with respect to time:
![\frac{dA_{s}}{dt} = 4\cdot [h(t)\cdot \frac{dl}{dt} + l(t)\cdot \frac{dh}{dt}] + 2\cdot l(t)\cdot \frac{dl}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA_%7Bs%7D%7D%7Bdt%7D%20%3D%204%5Ccdot%20%5Bh%28t%29%5Ccdot%20%5Cfrac%7Bdl%7D%7Bdt%7D%20%2B%20l%28t%29%5Ccdot%20%5Cfrac%7Bdh%7D%7Bdt%7D%5D%20%2B%202%5Ccdot%20l%28t%29%5Ccdot%20%5Cfrac%7Bdl%7D%7Bdt%7D)
Known variables are summarized below:
The rate of change is:
![\frac{dA_{s}}{dt} = 4\cdot [(9\,km)\cdot (-7\,\frac{km}{min} )+(4\,km)\cdot (10\,\frac{km}{min} )] + 2\cdot (4\,km)\cdot (-7\,\frac{km}{min} )](https://tex.z-dn.net/?f=%5Cfrac%7BdA_%7Bs%7D%7D%7Bdt%7D%20%3D%204%5Ccdot%20%5B%289%5C%2Ckm%29%5Ccdot%20%28-7%5C%2C%5Cfrac%7Bkm%7D%7Bmin%7D%20%29%2B%284%5C%2Ckm%29%5Ccdot%20%2810%5C%2C%5Cfrac%7Bkm%7D%7Bmin%7D%20%29%5D%20%2B%202%5Ccdot%20%284%5C%2Ckm%29%5Ccdot%20%28-7%5C%2C%5Cfrac%7Bkm%7D%7Bmin%7D%20%29)
