16(1/4x-1/2)>24-2x
Use the distributive property on the left side:
4x -8 > 24-2x
Add 2x to each side:
6x -8 > 24
Add 8 to each side:
6x >32
Divide both sides by 6:
x > 32/6 reduces to 16/3
Not sure if there is a typo in any of your answers, but I do not see the correct answer listed.
Velocity is given as 80 feet per second, so replace V with 80.
The rocket is launched from the ground so the initial height is 0, so replace h with 0
The formula now becomes" h(t) = -16t^2 + 80t +0
To find the maximum we need to find the coordinates of the vertex by finding the axis of symmetry:
-b/2a = -80/(2*-16) = -80/-32 = 2.5
This represents the amount of time for the rocket to reach maximum height.
So we now replace t in the equation with 2.5 and solve for the height:
h(2.5) = -16(2.5)^2 + 80(2.5)
h(2.5) = 100
The maximum height is 100 feet
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
Answer:
( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Given equation = 2x18-5+15/5=32
First we multiply first two letters,
then ( 2 × 18) = 36
Now, we add 5 and 15 then divide it by 5,
So, ( 5 + 15 ) ÷ 5 = 20 ÷ 5 = 4
Now we subtract 4 from 36,
Then 36 - 4 = 32
Hence the correct parentheses = ( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32
Answer:
3.34166666666666
Step-by-step explanation:
