Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
This is a geometric sequence of the form:
a(n)=ar^(n-1) in this case a=150, r=1.1
a(n)=150(1.1)^(n-1) August is the eighth month so
a(8)=150(1.1)^7
a(8)=292.307565
So you deposited $292.31 (to the nearest cent) in August.
404.8 in. squared is the surface area.
bottom: 15*6 = 90
back: 6*8 = 48
other back: 5*8 = 40
front: 5*8 = 40
top: 6*5=30
slanted side: 12.8*6 = 76.8
triangles: 8*10=80
80+76.8+30+40+40+48+90=404.8.
I’m pretty sure it’s n^15
Answer:
about $7.43 per hour
Step-by-step explanation:
52/7 = 7.43
