500 centimeters I think *sweats nervously*
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer:
a) (0.5256,0.5944)
c) Criticism is invalid
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 560
Proportion of mislabeled = 56%

a) 90% Confidence interval:


Putting the values, we get:

b) Interpretation of confidence interval:
We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.
c) Validity of criticism
Conditions for validity:

Verification:

Both the conditions are satisfied. This, the criticism is invalid.
Answer:
Angle B is 41 degrees
Step-by-step explanation:
1) find the supplement of the 113 degree angle; it is 180-113, or 67, degrees.
2) recognizing that the sum of the interior angles of a triangle is 180 degrees, add up 67 and 72 degrees, obtaining 139 degrees, and subtract this sum from 180 degrees:
180 degrees - 139 degrees = 41 degrees (answer)
The steps are outlined above; the end result is that <B is 41 degrees.
Hey there!
1/8(p + 24) = 9
1/8(p) + 1/8(24) = 9
1/8p + 3 = 9
SUBTRACT 3 to BOTH SIDES
1/8p + 3 - 3 = 9 - 3
CANCEL out: 3 - 3 because it gives 0
KEEP: 9 - 3 because it help solve for the p-value.
NEW EQUATION: 1/8p = 9 - 3
SIMPLIFY IT!
1/8p = 6
MULTIPLY 8 to BOTH SIDES
1/8p * 8 = 6 * 8
CANCEL out: 1/8 * 8 because it gives 1
KEEP: 6 * 8 because it gives the p-value.
NEW EQUATION: p = 6 * 8
SIMPLIFY IT!
p = 48
Therefore, your answer is: p = 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)