Answer: 405
Step-by-step explanation:
ratio r for the geometric sequence: 5, 15, 45, 135
r is a radios of a circle,
d is the Diameter
r1=5. r2=15, r3=45, r4=135, r5=?
2*r=d
so:
d1=10, d2=30, d3=90, d4= 270
now following the sequence:
r1+d1=r2 5+10=15
r2+d2=r3 15+30=45
r3+d3=r4 45+90=135
r4+d4=r5 therefore 135 + (135*2) = 135+270=405
X = pay and y = hours worked
direct variation equations are of the form:
dependent variable = k(independent variable)
we need to find k, the constant of variation
x = ky
49.40 = 6.5k
7.6 = k
EQUATION: x = 7.6y
PAY for 25 hours: x = 7.6(25) = 190 or $190
Answer:
True
Step-by-step explanation:
The answer is x = -5, it looks like you got it right.
Velocity is given as 80 feet per second, so replace V with 80.
The rocket is launched from the ground so the initial height is 0, so replace h with 0
The formula now becomes" h(t) = -16t^2 + 80t +0
To find the maximum we need to find the coordinates of the vertex by finding the axis of symmetry:
-b/2a = -80/(2*-16) = -80/-32 = 2.5
This represents the amount of time for the rocket to reach maximum height.
So we now replace t in the equation with 2.5 and solve for the height:
h(2.5) = -16(2.5)^2 + 80(2.5)
h(2.5) = 100
The maximum height is 100 feet
