8.5
The sequence is 1 -- 1.25 -- 7 -- 7.5 -- 2 -- 2.25 -- 8
The sequence of addition and subtraction is +.25 -- +5.75 -- +.50 -- -5.5 -- +.25 -- +5.75 so the next number must be 8 +.50
225% = 9/4 or 2 and 1/4
It is: 225/450 = 1/2
With the equation of an ellipse in the form (x/a)² + (y/b)² = 1 the axes of the ellipse lie on the x and y axes and the foci are √(a² - b²) along the x axis. 9x² + 25y² + 100y - 125 = 0 → (3x)² + 25(y² + 4y + 4 - 4) = 125 → (3x)² +25(y + 2)² - 100 = 125 → (3x)² +25(y + 2)² = 225 → (3x)²/225 + (y + 2)²/9 = 1 → (x/5)² + ((y+2)/3)² = 1 Thus the foci are √(5² - 3²) = √16 = 4 either side of the y-axis, but the y axis has been shifted up by 2, thus the two foci are (-4, -2) and (4, -2).
250/2 = 125... So 125 times.
All Factors of 3750:1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, and 750 The factor pairs of 750 are 1 x 750, 2 x 375, 3 x 250, 5 x 150, 6 x 125, 10 x 75, 15 x 50, and 25 x 30
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
The LCM of 175 and 125 is 875
1500 / \ 2 750 / \ 2 375 / \ 3 125 / \ 5 25 / \ 5 5 / \ 5 1
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 = 1,872.
Everything except 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
125 = 125, 250, 375, 500, 625, 750, 875, 1000 150 = 150, 300, 450, 600, 750, 900, 1050, 1200 LCM = 750 125 = 53 150 = 2 x 3 x 52 lcm = 2 x 3 x 53 = 750
The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225 The factors of 500 are: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500