Answer:
Step-by-step explanation:
31
Answer:
14.13 cubic feet of lake water can fill the given balloon.
Step-by-step explanation:
concept used:
volume of sphere = 4/3 ![\pi r^3](https://tex.z-dn.net/?f=%5Cpi%20r%5E3)
where r is the radius of sphere
we take
= 3.14
_____________________________________
shape of balloon can be taken as spherical.
Amount water filled in the balloon will be equal to capacity of balloon which is equal to volume of spherical balloon.
Given radius of balloon = 1.5 feet
Thus, volume of balloon = 4/3
1.5^3 = 4/3*3.14*1.5^3
volume of balloon = 42.39/3 = 14.13 cubic feet
Thus, 14.13 cubic feet of lake water can fill the given balloon.
Answer:
500
Step-by-step explanation:
(11-3)^3-2x6
first evaluate 11-3-->8
then cube it-->8^3=512
then multiply 2x6-->12
then subtract the two-->512-12=500
Answer:
![\boxed{y=4x^3-x^2-50x+25}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D4x%5E3-x%5E2-50x%2B25%7D)
Step-by-step explanation:
The given function is
![y=(x-5)(x+5)(2x-1)](https://tex.z-dn.net/?f=y%3D%28x-5%29%28x%2B5%29%282x-1%29)
Observe that, the first two factors are from difference of two squares.
![\Rightarrow y=(x^2-5^2)(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-5%5E2%29%282x-1%29)
![\Rightarrow y=(x^2-25)(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-25%29%282x-1%29)
We expand the brackets using the distributive property to obtain;
![\Rightarrow y=2x^2(2x-1)-25(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2x%5E2%282x-1%29-25%282x-1%29)
![\Rightarrow y=4x^3-x^2-50x+25](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D4x%5E3-x%5E2-50x%2B25)
The above function is now in standard form, since the terms are arranged in descending powers of
.
Rational numbers are numbers that can be written in the form
a/b where b is not equal to 0
true