It’s the 2nd on I’m pretty sure because it says decimal
B^-2 / b^-3 = b^(-2-(-3) = b^1 = b
answer is d
Answer:
See below
Step-by-step explanation:
<u>Given a polygon with vertices</u>
- A(-6, 5), B(-6, 2), C(-2, 2), D(-2, 6)
<u>Translation rule is</u>
<u>New coordinates are</u>
- A' = (-6 + 5, 5 - 4) = (-1, 1)
- B' = (-6 + 5, 2 - 4) = (-1, -2)
- C' = (-2 + 5, 2 - 4) = (3, -2)
- D' = (-2 + 5, 6 - 4) = (3, 2)
(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
<h3>Vertical motion equation for the ball</h3>
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
<h3>Time for the ball to hit the ground</h3>
0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
<h3>Time for the ball to be 56 ft above the ground</h3>
- let upward motion be positive
h = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
Learn more about equation of motion here: brainly.com/question/25951773
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Answer:
Margin of error for a 95% of confidence intervals is 0.261
Step-by-step explanation:
<u>Step1:-</u>
Sample n = 81 business students over a one-week period.
Given the population standard deviation is 1.2 hours
Confidence level of significance = 0.95
Zₐ = 1.96
Margin of error (M.E) = 
Given n=81 , σ =1.2 and Zₐ = 1.96
<u>Step2:-</u>
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On calculating , we get
Margin of error = 0.261
<u>Conclusion:-</u>
Margin of error for a 95% of confidence intervals is 0.261
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