Answer:
A
Step-by-step explanation:
clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.
and so we also see, that the function calculates the % of the remaining carbon-14.
so, we need the desired outcome 60(%),
because 60 = 100 - 40.
and again, we need a function that shows t=0.
the only answer option fulfilling both criteria is A.
B divides in the exponent by t, so t=0 is not in the domain of the function.
and C and D aim for the wrong remaining percentage.
Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
You can hit the pi button on your calculator or find websites will all the pi numbers.
The ordered pair (-1, 6) is the solution to the system of equations.
Step-by-step explanation:
Given equations are;
3x+2y=9 Eqn 1
y=4x+10 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
![3x+2(4x+10)=9\\3x+8x+20=9\\11x=9-20\\11x=-11](https://tex.z-dn.net/?f=3x%2B2%284x%2B10%29%3D9%5C%5C3x%2B8x%2B20%3D9%5C%5C11x%3D9-20%5C%5C11x%3D-11)
Dividing both sides by 11
![\frac{11x}{11}=\frac{-11}{11}\\x=-1](https://tex.z-dn.net/?f=%5Cfrac%7B11x%7D%7B11%7D%3D%5Cfrac%7B-11%7D%7B11%7D%5C%5Cx%3D-1)
Putting x=-1 in Eqn 2
![y=4(-1)+10\\y=-4+10\\y=6](https://tex.z-dn.net/?f=y%3D4%28-1%29%2B10%5C%5Cy%3D-4%2B10%5C%5Cy%3D6)
Solution: (-1, 6)
The ordered pair (-1, 6) is the solution to the system of equations.