Answer:
41.04 g/L
Step-by-step explanation:
The relationship is modeled by the following function:
S(t) = 500*e^(-0.25*t)
where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)
Replacing with t = 10
S(t) = 500*e^(-0.25*10)
S(t) = 41.04 g/L
Answer:
Below in bold.
Step-by-step explanation:
c) 3 x (9^2)^3/4 x ((81^3)^5/6
= 3 x 81^3/4 x 81^15/6
= 3 x 81^(3/4 + 15/6)
= 3 x 81^13/4
= 3 x 3^13
= 3^14
= 4,782,969.
f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2
= 5^-2 x^2y^-4 / 625 x^4y^-2
= 5^-2 x^-2 y^-2 / 5^4
= 5^-6 x^-2y^-2
= 0.000064x^-2y^-2.
Answer
Step-by-step explanation:
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:

90 more SUVs were sold than passenger cars. In other words:

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

Combine like terms:

Subtract 90 from both sides:

Divide both sides by 2:

So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!
Answer:
The Point estimate of the Population proportion E = 0.039≅0.04
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the sample size 'n' = 992
and x = 570
The Population proportion

<u><em>Step(ii):-</em></u>
<u><em>The point estimate of the Population proportion is determined by</em></u>
<u><em></em></u>
<u><em></em></u>
E = 0.039≅0.04
<u><em>Final answer</em></u>:-
The point estimate of the Population proportion E = 0.039≅0.04
<u><em></em></u>