The path of an underwater drone is modeled by quadratic function d, where x is the horizontal distance, in miles, from the launch site, and dis) is the depth below the surface of the water, in meters.
(a) = 0.452 - 205 + 70
Rewrite the equation in vertex form. Based on the vertex form equation, which statements are true?
The drone reaches its minimum 25 miles from the launch site.
At its minimum, the drone's depth is-180 meters.
At its minimum, the drone's depth is -430 meters,
The drone reaches its minimum 50 miles from the launch site.
At its minimum, the drone's depth is -70 meters.
The drone reaches its minimum 46 miles from the launch site,

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

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45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.