Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that
and
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:
![v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}](https://tex.z-dn.net/?f=v%20%3D%2011%5C%2Cin%5Ctimes%20%5Cfrac%7B1%5C%2Cmi%7D%7B63360%5C%2Cin%7D%20%5Ctimes%2039.584%5C%2C%5Cfrac%7Brad%7D%7Bs%7D%5Ctimes%20%5Cfrac%7B3600%5C%2Cs%7D%7Bh%7D)
![v \approx 24.74\,\frac{mi}{h}](https://tex.z-dn.net/?f=v%20%5Capprox%2024.74%5C%2C%5Cfrac%7Bmi%7D%7Bh%7D)
The linear speed in which Darlene is traveling is 24.74 miles per hour.
1) The caterpillar was already at 4.5 feet so 4.5 will be added. If it crawls upwards 38 of an inch every minute and the amount of minutes is not specified, this will be represented as 38x. That means the answer is C. f(x) = 38x + 4.5
2) Substitute the known values into the equation. There are 7 people at $8.25 a person, which is a total of $57.75 <u>I used 7 because he invites 6 friends, plus himself. </u>He only has $50 on his gift card, so he won't have enough to cover the cost. The answer is A.
3) They start out with 40lbs and recieve 120 more. They have 160lbs in total. If they sell 8lbs a day for 5 days, thats 8*5 or 40lbs total. 160 - 40 = 120lbs left after 5 days. I'd say the answers are A, B, and D.
4) I think the answer would be C because 1,500 is used to find the number of grams of isotope present after t years. The number of grams can't be 1,500. I hope that makes sense because I'm not sure how to explain it.
5) The growth factor is 2 (2x, x being the number of hours). Multiply by 15 because the lab has 15 of them. The answer is B. f(x) = 15 * 2x
I hope this helps you! I'm sorry if I got any of them wrong!
Step-by-step explanation:
I think we cannot find the sum because it will continue on so the series is multiply by 4
Answer:
21.71
Step-by-step explanation:
1) you need to order then by the size
3, 13, 14, 16, 27.42, 37.97 ,64, 95
2) if there is an odd amount of numbers then the median would be the center term. but if it an even number then you add the two middle terms together and divide them by 2.
16+27.42= 43.42
43.42 divided by 2=21.71
Hope this helped