Answer:
No
Reasoning:
If something is a perfect cube, it is able to be put under a cube root () and will result in an integer (a non-decimal number > 0, basically).
So let's calculate , and see if the result is an integer.
= 3.634.......
As you can see, the result is not an integer, therefore 48 is not a perfect cube.
9514 1404 393
Answer:
48 ft
Step-by-step explanation:
For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.
t = -48/(2(-16)) = 1.5
Then the maximum height is ...
f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12
f(1.5) = 48
The maximum height the object will reach is 48 feet.
Answer:
Stephen's wife got £354 more than his son.
Step-by-step explanation:
Given:
Amount of Lottery = £2950
Now Given:
Stephen & Richard share a lottery amount in the ratio 2 : 3
Let the common factor between them be 'x'.
So we can say that;
Dividing both side by 5 we get;
So we can say that;
Stephen share would be =
Now Given:
Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.
Let the common factor between them be 'y'.
So we can say that;
Dividing both side by 10 we get;
So Stephen's wife share =
And Stephen's son share =
Now we need to find how much more her wife got then her son.
To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.
framing in equation form we get;
Amount more her wife got than her son =
Hence Stephen's wife got £354 more than his son.