Metric: kilometers
Imperial: Miles
Well when she hits the water h=0 so
2t^2-t-6=0 factor
2t^2-4t+3t-6=0
2t(t-2)+3(t-2)=0
(2t+3)(t-2)=0, since t>0
t=2 seconds...
However it should be noted that h(t)=-2t^2+t+6 implies that
v(t)=dh/dt=-4t+1 and
a(t)=dv/dt=-4
Since this is a free fall equation, this would suggest that the acceleration due to gravity is -4, whether that is supposed to be -4ft/s^2 or -4m/s^2, it certainly is not on this planet! :D If it is -4ft/s^2 it could be on the Moon or if it is -4m/s^2 it could be on Mars.
Answer:
the answer is 82° because if u added 45+53+82 it would come out to be 180° which is the overall degrees of a triangle.
Yes
factor out the 2z^2 in each term
(2z^2)(z^2-5z+4)
factor some more
z^2-5z+4
find what 2 numbers multiply to get 4 and add to get -5
the numbers are -1 and -4
(z-1)(z-4)
the factored form is
(2z^2)(z-1)(z-4)
Answer:
1. y= 25400(1 + 0.11)^x
2. 2019
Step-by-step explanation:
1. y = a(1 + r)^x <em> </em>
<em>(exponential growth formula :</em>
<em>a = initial value (the amount before measuring growth or decay)
</em>
<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal)
</em>
<em>
x = number of time units that have passed)</em>
y= 25400(1 + 0.11)^x
so in 1 year, in 1996, we would say
y=25400(1+0.11)^1
y=25400(1.11)
y=28194
2. I found the answer by plugging in numbers into x
with x = 24
y= 25400(1+0.11)^24
y= 310874
so in 24 years, the population will surpass 302438 which would be 1995+24= 2019
