Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.
Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.
Let us try it below:
Sigma notation 1:
10
<span> Σ (2i + 3)
</span>i = 3
@ i = 3
2(3) + 3
12
The first sigma notation does not have the same result, so we move on to the next.
10
<span> Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.
When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)
Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.
I use an app called Socratic also it works very well!!
Answer:
D
Step-by-step explanation:
y=4x+12
x=4y+12
x-12=4y
1/4x-3
Answer:
y = 0.25x + 1.5
Step-by-step explanation:
its starts at 1.5 on the y-axis
goes up 0.25 units
Answer:
(a) Speed = 6.875 m/s
(b) Kinetic Energy = 1.70 kJ
(c) Average power = 1.06 kW
Step-by-step explanation:
Given:
d = 5.5 m
t = 1.6 s
W = 706 N
Part (a)
Using the equation of motion with the assumption of zero initial speed:
The speed of the sprinter then become:
Part (b)
Convert the weight of the sprinter to mass:
KE (Kinetic Energy) can then be calculated as:
Part (c)
The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as
