Answer:
24
Step-by-step explanation:
24(6)/(8)=
simplify
192/8=24
Answer:
4 lol
Step-by-step explanation:
Answer:
He lost 5 coconuts.
Step-by-step explanation:
When he divides the number left among 3 and 5 people the remainder is 2 in each case so the number that each person gets must be 15 or a multiple of 15.
So if x is the number left when he reaches home, then:
2 = x mod 3 and
2 = x mod 5
where x = 15 + 2 = 17 or 30 + 2 = 32 or 45 + 2 = 47.
But we also must satisfy 3 = x mod 4
If x = 17:
17 mod 4 = 1 so its not 17.
32 mod 4 = 0 so it's not 32.
47 mod 4 = 3 so x = 47.
Therefore the number he lost = 52 - 47 = 5.
Answer:
d = 0.0625 m
Step-by-step explanation:
The velocity of an object dropped from a tall building is given by :
Where
d is the distance in feet
We need to find the distance when the velocity is 32 ft/s
Rearranging for d,
Put v = 32 ft/s
So, the required distance is 0.0625 m.
Answer:
Step-by-step explanation:
The shape of this graph is that of a parabola. In this case the parabola opens down. The general form of the equation of such a parabola is
y = a(x - h)^2 + k, where (h, k) is the vertex and a is a coefficient to be determined.
In this particular case we can obtain the coordinates of the vertex (h, k) from the graph. They are (3, 4). Thus, h = 3 and k = 4. The graph goes through (1.5, 0). Use this information to determine the value of the coefficient a:
Then the equation of this parabola must be y = a(x - 3)^2 + 4.
0 = a(1.5 - 3)^2 + 4
Then:
0 = a(-1.5)^2 + 4, or
0 = 2.25a + 4, or
2.25a = -4, or
a = 16/9
Thus, the final result: The equation of this parabola is
y = (16/9)(x - 3)^2 + 4
whose graph is a parabola that opens down and has vertex (3, 4).
