Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Answer:
m >9 or m < -9
Step-by-step explanation:
-2|3m|+3<-51
Subtract 3 from each side
-2|3m|+3-3<-51-3
-2|3m|<-54
Divide each side by -2, remembering to flip the inequality
-2|3m|/ -2>-54/-2
|3m|> 27
To get rid of the absolute values, we separate into two inequalities, one as written and one negative, remembering to flip the inequality
3m >27 or 3m <-27
Divide by 3 on each side
3m/3 >27/3 or 3m/3 <-27/3
m >9 or m < -9
The law of an object moving with constant acceleration is
Where 
is space, 
is time, 
is the initial position, 
is the initial velocity and 
is the acceleration.
In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).
So, its law is
(I changed for 
since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).
The rocket hits the ground if its height is zero, so if we set 
we have
Solving for t, we have either t=0, or
The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have
Answer:
C.
Step-by-step explanation:
The formula to convert C° to F° is C = 5(F-32)
