Answer:
4,782,969
Step-by-step explanation:
9^7
Written in expanded form = 9 times 9 times 9 times 9 times 9 times 9 times 9
= 9 × 9 × 9 × 9 × 9 × 9 × 9
= 4,782,969
9^7 means multiplying 9 in 7 places
9^7 = 4,782,969
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.
2x^2 + 18x - 17 = 11x - 2
-11x +2 -11x +2
2x^2 +7x - 15 = 0
(x - 1.5) (x + 5)
x = 1.5 x = -5
Answer:
Option (B)
Step-by-step explanation:
By the theorem of the inscribed angle,
"An angle inscribed in a circle measures half of the central angle subtended by the same arc."
Since m(arc XY) = 52°
Angle subtended by the the arc at the center (Central angle) = m∠XWY = 52°
Measure of inscribed angle = m∠XZY
By theorem, m∠XZY = 
m∠XZY = 
= 26°
Therefore, Option (B) will be the answer.
