6(x + 2) = 3(2x + 4)
STEP ONE:
Multiply both sides
6x + 12 = 6x + 12
STEP TWO:
You can see both sides are identical, therefore you can conclude there are infinite solutions
ANSWER: Infinite Solutions
A nonagon has 9 sides. (Notice how non sounds similar to 9).
4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1)
4^x - 3^x * 3^-1/2 = 3^x * 3^1/2 - 2^2x * 2^-1
2^2x + 2^2x * 1/2 = 3^x * 3^1/2 + 3^x * 3^-1/2
2^2x(1 + 1/2) = 3*x( 3^1/2 + 3^-1/2)
3/2 * 2^2x = 2.3094 * 3^x
ln 1.5 + 2x ln 2 = ln 2.3094 + x ln 3
2x ln 2 - x ln3 = ln 2,3094 - ln 1.5
1.3863 x - 1.0986 x = 0.4315
0.2877x = 0.4315
x = 1.5 Answer
Answer:
16 is the answer
Step-by-step explanation:
The space between the two spheres will be the volume of the larger sphere minus the volume of the smaller sphere. Given that the volume of any sphere is:
V=(4πr^3)/3 The space between to sphere of different radius and positioned about the same center is:
S=(4πR^3)/3-(4πr^3)/3 I used S=volume of space, R=larger radius and r=smaller radius...
S=(4π/3)(R^3-r^3), we are told that R=5 and r=4 so
S=(4π/3)(5^3-4^3)
S=(4π/3)(125-64)
S=(4π/3)(61)
S=244π/61
S=4π cm^3
S≈12.57 cm^3 (to nearest hundredth of a ml)
