3/5 = 6/10 (which is 60%) 100% - 60% = 40%
Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)
The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.
So, 5^4*5^8 = 5^(4+8) = 5^12
I rounded each number to the nearest whole number and added those.
29 + 79 + 42 = 150
If you add the original numbers you would get 149.5, which rounds to 150.
Answer: B
Step-by-step explanation:
4(x+3)+2x=6(x+2)
4x+12+2x=6x+12
6x+12=6x+12
12=12
All real solutions
5+2(3+2x)=x+3(x+1)
5+6+4x=x+3x+3
11+4x=4x+3
11=3
No solution
After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm