Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
Answer:
Best deal: 12 for $6
Worst deal: 3 for $2
29.06% difference
Step-by-step explanation:
2.00/3= 0.67
3.50/6= 0.58
6.00/12= 0.50
13.00/24= 0.54
Best deal: 12 for $6
Worst deal: 3 for $2
% difference: (0.67-0.50)/((0.67-0.50)/2) x 100= 29.06% difference
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Read the values from the graph in the usual way: find the x-coordinate, then locate the point on the graph and find its y-coordinate.
You find the y-coordinate by following the horizontal line to the y-axis, where the numbers are.
Answer:
3+2i
Step-by-step explanation:
Answer:
You could use the equation y = mx + b to solve this problem. The m would equal 7.5 and the be would be zero, so the equation would be y = 7.5x + 0. Add values for x and you would get y.
