Answer:
Number of Possible Sequence = 5 x 4 x 3 x 2 x 1 = 120 ways
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Yes, it is also a square number
Answer: 10 , 13 , 14 , 15
Step-by-step explanation:
To find the perimeter of a quadrilateral , we will add all its side , that is
Perimeter = x + x + 3 + x + 4 + x + 5
That is
52 = x + x + 3 + x + 4 + x + 5
52 = 4x + 12
subtract 12 from both sides
40 = 4x
divide through by 4
x = 10
therefore , the lengths of the sides are
10 , 10+3 , 10 + 4 , 10 + 5 , that is
10 , 13 , 14 , 15
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
Answer:
15/17
Step-by-step explanation:
