Answer:
a₆ = 21875
Step-by-step explanation:
Using the recursive rule and a₁ = 7 , then
a₂ = 5a₁ = 5 × 7 = 35
a₃ - 5a₂ = 5 × 35 = 175
a₄ = 5a₃ = 5 × 175 = 875
a₅ = 5a₄ = 5 × 875 = 4375
a₆ = 5a₅ = 5 × 4375 = 21875
[ Answer ]
[ Explanation ]
- Change
To Percent
-------------------------------------
Is The Same As 5 ÷ 2
5 ÷ 2 = 2.5
- Convert Decimal To Percentage
2.5 · 100 = 250
250%
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2% of 1200 is 48. Subtracting 48 from 1200 is 1152
35.625
How many times does 8 go into 285?
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
