Answer
given,
work = 5 J
spring stretch form 30 cm to 39 cm

x = 0.39 - 0.30 = 0.09 m


k = 1234.568 N/m
a) work when spring is stretched from 32 cm to 34 cm
x₂= 0.34 -0.30 = 0.04 m
x₁ = 0.32 - 0.30 = 0.02


W = 0.741 J
b) F = k x
25 = 1234.568 × x
x = 0.0205 m
x = 2.05 cm
Answer:
V≈4778.36cm³
Step-by-step explanation:
Option D:
15c ≤ 200
Solution:
Let c be the number of cases of tea bags.
Cost of each tea bag = 15 gold coins
Total gold coins Mad have = 200
<u>Set up an inequality:</u>
Cost of c tea bags = 15 × c = 15c
Mad can buy tea bags at most 200 gold coins.
(At most 200 means 200 is the greater value)
15 × c ≤ 200
15c ≤ 200
Hence option D is the correct answer.
<u>Answer:</u>
The Ranking Percentile is (B) 97.5%
<u>Explanation
:</u>
To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.
Formula to find the z-score
Z-score=
Substituting the values in the above equation, we find
Z-score=
=2
So, the Z-score is +2
Now, the corresponding value of Z-score 2 in the table is 0.9772
or the percentile score is 97.72 ~ 97.5
.