Answer:
D
Step-by-step explanation:
none of the option satisfy the equation
The choices are <span><span> A. r= 200 over w; r = 40 B. r = 200 over w; C. r = 1000
C. r = 2w; r = 10 D. r = 2w; r = 2.5. T</span>he situation</span> implies that the number of roses is inversely proportional to the number of weeds. In this case, the answer is either a or b. Given 5 weeds,the one that fits is A. <span>A. r= 200 over w; r = 40. </span>
Answer:
-21
Step-by-step explanation:
3x7=21 and a negative x a positive is always negative
Answer:
Time to land on 11ft is 4.25 seconds
Step-by-step explanation:
Given
![y = 300 - 16t^2](https://tex.z-dn.net/?f=y%20%3D%20300%20-%2016t%5E2)
Required
Solve for t when height is 11ft
This implies that ![y = 11](https://tex.z-dn.net/?f=y%20%3D%2011)
So: substitute 11 for y in ![y = 300 - 16t^2](https://tex.z-dn.net/?f=y%20%3D%20300%20-%2016t%5E2)
![11 = 300 - 16t^2](https://tex.z-dn.net/?f=11%20%3D%20300%20-%2016t%5E2)
Collect Like Terms
![16t^2 = 300 - 11](https://tex.z-dn.net/?f=16t%5E2%20%3D%20300%20-%2011)
![16t^2 = 289](https://tex.z-dn.net/?f=16t%5E2%20%3D%20289)
Express both sides as squares
![4^2 * t^2 = 17^2](https://tex.z-dn.net/?f=4%5E2%20%2A%20t%5E2%20%3D%2017%5E2)
![(4t)^2 = 17^2](https://tex.z-dn.net/?f=%284t%29%5E2%20%3D%2017%5E2)
Take square roots of both sides (ignore negative)
![4t = 17](https://tex.z-dn.net/?f=4t%20%3D%2017)
Solve for t
![t = \frac{17}{4}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B17%7D%7B4%7D)
![t = 4.25](https://tex.z-dn.net/?f=t%20%3D%204.25)
Hence, time to land on 11ft is 4.25 seconds
The horse traveled 439.6 feet after walking around the track 5 times
<u><em>Solution:</em></u>
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
<em><u>The circumference of circle is given as:</u></em>
![C = 2 \pi r](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r)
Where, "r" is the radius and
is a constant equal to 3.14
![C = 2 \times 3.14 \times 14\\\\C = 87.92](https://tex.z-dn.net/?f=C%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%2014%5C%5C%5C%5CC%20%3D%2087.92)
Thus the distance traveled by horse for one time in circular track is 87.92 feet
<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>
Multiply the circumference by 5
![distance = 5 \times 87.92\\\\distance = 439.6](https://tex.z-dn.net/?f=distance%20%3D%205%20%5Ctimes%2087.92%5C%5C%5C%5Cdistance%20%3D%20439.6)
Thus the horse traveled 439.6 feet after walking around the track 5 times