Answer:
x= 2/6
Step-by-step explanation:
add 3x to both sides
add 1 to both sides
divide 6 to both sides to isolate x
x = 2/6
The answer is c) 45 times PI cubed.
Answer:
Caroline buys 3 packs of candles and 5 packs of holders.
Step-by-step explanation:
1.) First, find multiples of 30 by adding 30 to itself. For example, 30, 60, 90.
2.) Second, find multiples of pakcs of holders until it matches the multiples of candle packs. 18, 36, 54, 72, 90.
3.) then you find that Caroline buys 3 packs of candles and 5 packs of candle holders so she has the same amount of both.
3.01 m/s
This is a simple projectile calculation. What we want is a vertical velocity such that the time the droplet spends going up and going back down to the surface exactly matches the time the droplet takes to travel horizontally 0.800 meters. The time the droplet spends in the air will is:
V*sqrt(3)/2 ; Vertical velocity.
(V*sqrt(3)/2)/9.8 ; Time until droplet reaches maximum height
(V*sqrt(3))/9.8 ; Double that time for droplet to fall back to the surface.
The droplet's horizontal velocity will be:
V/2.
So the total distance the droplet travels will be:
d = (V*sqrt(3))/9.8 * V/2
d = V^2*sqrt(3)/19.6
Let's substitute the desired distance and solve for V
d = V^2*sqrt(3)/19.6
0.8 = V^2*sqrt(3)/19.6
15.68 = V^2*sqrt(3)
15.68/sqrt(3) = V^2
15.68/1.732050808 = V^2
3.008795809 = V
So after rounding to 3 significant figures, the archerfish needs to spit the water at a velocity of 3.01 m/s
Let's verify that answer.
Vertical velocity: 3.01 * sin(60) = 3.01 * 0.866025404 = 2.606736465
Time of flight = 2.606736465 * 2 / 9.8 = 0.531987034 seconds.
Horizontal velocity: 3.01 * cos(60) = 3.01 * 0.5 =
Equation- p-6= -14
Answer- p=-14
