It is most likely 32 because no where in the question does it say how many bouquets there are and the highest number is 32 in the word problem.<span />
The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.
When potential energy is completely converted to kinetic energy you have:
(mv^2)/2=mgh divide both sides by the mass m
v^2/2=gh multiply both sides by 2
v^2=2gh take the square root of both sides
v=√(2gh) and working with imperial units for acceleration due to gravity, g=-32ft/s^2
v=√(-64h) but the change of h as it falls is negative h so
v=-√(64h) so if an object falls from a height of 88ft we have:
v=-√(64*84)
v=-√5376
v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)
Note that this is the velocity, it is negative 73.32 ft/sec.
The question inadvertently asked for velocity and provided answers for SPEED. Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.
So its final speed is 73.32 ft/sec
So if they actually wanted velocity none of their answers is correct :P
Answer:
Option 3.
Step-by-step explanation:
In this question we have to draw a graph f(x) = |-x+8|
Its a modified form of a graph f(x) = |-x| which starts from origin, having two perpendicular lines in quadrant 1 and 2.
Then f(x) = |-x| is shifted 8 units right on the x-a xis. therefore the modified form becomes f(x) = |-x+8| as shown in the option number 3.
Option 3 is the correct answer.
Answer: x = 3, y = -6
Step-by-step explanation:
Substitute the y into the equation to get -2x=6x-24
8x=24 so x = 3. Then plug x=3 into the second equation to get y = -6
Please, proofread your problem statements before posting them. Your "If 1,600 people live 25% of the population how many people need to leave" should be written as "<span>If the whole population is 1,600 and 25% of them need to leave, how many must leave?"
0.25(1600) = 400
400 people need to leave. This is 25% of the entire population, or 25% of 1600 people. Please note: it's "leave," not "live."</span>