tye findamental theorem of calculs is cognitive
The parent volunteers:
120 snow cones ... 5 hours
x snow cones = ? ... 1 hour
120 * 1 = 5 * x
120 = 5 * x /5
x = 120 / 5 = 24 snow cones
The student council:
100 snow cones ... 4 hours
y snow cones = ? ... 1 hour
100 * 1 = 4 * y
100 = 4 * y /4
y = 100 / 4 = 25 snow cones
Result: The student council made more snow cones per hour (25 > 24).
Answer:
Step-by-step explanation:
This quadratic models the parabolic motion equation

where h is the height of the object after the motion occurs, a is the pull of gravity, v(i) is the initial vertical velocity of the object, and h(i) is the height from which the object was initially launched. If we are looking for when the ball hits the ground, h = 0, because the height of an object on the ground has no height at all (or 0 height). To find the time the object was in the air, factor the quadratic and solve for the values of t.
Two factors of 4 that add up to be 3 and multiply to be 4 are -1 and 4. So t=-1 and t = 4. Since we know that time can never be negative, then t = 4 seconds.
Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
X + y > = 15.....this is saying that small rugs (x) + medium rugs (y) when made, are greater then or equal to 15...because they have to make at least 15
and since small rugs take 2 hrs......2x....and medium rugs take 3 hrs....3y...and they have to be made in less then 60 hrs...
2x + 3y < 60 <=== ur answer