<h3>
Answer: 123 meters is the longest </h3>
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Work Shown:
Convert everything to the same unit. I'm going to convert everything to meters
0.1203 km = 120.3 meters (multiply by 1000)
1230 cm = 12.3 meters (divide by 100)
12030 mm = 12.03 meters (divide by 1000)
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The four distances we have are: 120.3 meters, 123 meters, 12.3 meters, 12.03 meters. We see that 123 meters is the longest.
Answer:
f(g(-8)) = -26
Step-by-step explanation:
Given:
f(x)=2x and g(x)=2x+3
Required:
f(g(-8))=?
Solution:
First we will find g(-8)
g(x) = 2x+3
g(-8)= 2(-8)+3
= -16 + 3
= -13.
so, g(-8) = -13
Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13
so, f(x) = 2x
f(-13) = 2(-13)
= -26
so, f(-13) = -26
and f(g(-8)) = -26
Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.
So,W is the midpoint of RSV is the midpoint of RTWe are given that:RV = 4x + 3 and VT = 2x + 9
Since V is the midpoint, then:RV = VT4x + 3 = 2x + 94x - 2x = 9 - 32x = 6x = 3
Now put the value of x in WS = 5x-1WS = 5x-1WS = 5(3) - 1 WS = 15 - 1 = 14WS = 14
Since W is the midpoint of RS, therefore RW = WSand WS = 14Therefore:
RW = 14
Answer is 3 seconds
When the bullet reaches the ground, ground being x in graph (and here its s which is = 0)
s = -16t^2 + 48t
s = 0, solve for t
0 = -16t^2 + 48t
0 = t ( -16t + 48)
0 = 16t ( - t + 3)
now you have two equation
0 = 16t and 0 = -t +3 ( you can look at the graph line touches x twice)
0 = 16 t
0 = t ( you know its false, because time = 0)
You are left with
0 = -t + 3
t = 3
It takes 3 seconds for the bullet to return to the ground.
// Hope this helps.
Answer:
a. 90
b. 360
Step-by-step explanation:
The time taken by humming bird to flap its wings= 0.08 sec
by flying 7.2 seconds a typical giant hummingbird flap its wings 
times
= 90 times
Since, A ruby-throated hummingbird can flap its wings 4 times faster than a giant hummingbird, it will flap its wings in every 0.02 sec
so in 7.2 seconds it will flap 
times = 360 times
