The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound
<h3>Data obtained from the question</h3>
From the question given above, the following data were obtained:
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Work done (Wd) =?
<h3>How to determine the spring constant</h3>
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Spring constant (K) =?
F = Ke
Divide both sides by e
K = F/ e
K = 3 / 0.6
K = 5 pound/foot
Thus, the spring constant of the spring is 5 pound/foot
<h3>How to determine the work done</h3>
- Spring constant (K) = 5 pound/foot
- Extention (e) = 0.7 feet
- Work done (Wd) =?
Wd = ½Ke²
Wd = ½ × 5 × 0.7²
Wd = 2.5 × 0.49
Wd = 1.23 foot-pound
Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound
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You need to use basic algebra for this.
For this I’ll use o as the items and p for the payment. First you need to find out how long it took for all the items to scan, so if it took each item 2 seconds to be scanned you need to times the total number of items (o) by two e.g. o x 2 = 62 items times two seconds which is equivalent to 62 seconds (1.02 minutes) after this step you need to minus the total time it took to scan the items for the transaction time (2 minutes) e.g. 2.00 - 1.02 = 2.58 minutes.
Hope this helped :)
Answer:
The answer to your question is 10 hours.
Step-by-step explanation:
Inequality 12h + 240 > 360
Solve the inequality as if it was an equation
12h > 360 - 240
12h > 120
h > 120 / 12
h = 10 hours
Let's evaluate some number of hours
If h = 3 12(3) + 240 > 360
36 + 240 > 360
276 > 360 Incorrect, she needs to work more
than 3 hours
If h = 5 12(5) + 240 > 360
60 + 240 > 360
300 > 360 Incorrect, she needs to work more
than 5 hours
If h = 7 12(7) + 240 > 360
84 + 240 > 360
324 > 360 Incorrect she needs to work more
than 7 hours
If h = 11 12(11) + 240 > 360
132 + 240 > 360
372 > 360 Correct, she needs to work at least
10 hours.
Complementary angles are angles who sum to 90 degrees. So, since one angle is 13 degrees, naturally the other must equal 77. Good luck! c:
Answer:
Step-by-step explanation:
Slope Formula: 
Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:
