X/7 = 6/4.2
4.2x = 42
x= 10
Answer:
Speed of sound is 340 meter per second.
Step-by-step explanation:
Let the speed of sound = x meter per second.
It is given that,
The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.
So, we get,
x - 50%x = 170
i.e. x - 0.5x = 170
i.e. 0.5x = 170
i.e. x = 340 meter per second
Hence, the speed of sound is 340 meter per second.
Answer:
There are 40 milliliters of fruit juice in the bottle
Step-by-step explanation:
we know taht
20%=20/100=0.20
To find out the milliliters of fruit juice, multiply the volume of the bottle by the percentage of fruit juice in decimal form
so
therefore
There are 40 milliliters of fruit juice in the bottle
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds
2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.
Answer:
-140 ft is not a distance
Step-by-step explanation:
Distance must be a positive number
-140 is negative