ANSWER
EXPLANATION
The given expression is
To find an expression for d in terms of a, b, and c, means we want to make d the subject of the relation.
This means that, we need to isolate d on one side of the equation while all other terms are on the other side.
We subtract from both sides of the equation to obtain,
We now divide through by -1, to get,
Or
The topic is change of subject
Answer:
127
Step-by-step explanation:
A whole number is a number without any fractions (or decimals), so you just have to round the number to the nearest number without any decimals, which is 127
Answer:
18 dollars
Step-by-step explanation:
Marginal cost can be defined as the additional cost to produce every additional unit of a certain good. In mathematical terms;
Marginal cost = change in cost / change in quantity
For seven jackets, we have to find the difference between the cost of seven jackets and the cost of six jackets as follows
$101 - $83 = $18
Since the change in quantity is one, our marginal cost comes to $18.
The fewest number of days over which the tournament can take place is 5 days.
<h3>How to calculate the number of days?</h3>
As each team plays with other team Once and we have total 5 teams so number of matches will be (4+3+2+1)
Counted as team 1 plays with all other teams = 4 matches
Team 2 plays with team 3,4,5 =3 matches
Team 3 play with team 4,5=2 match
And the last match is between team 4 and team5
Total match = 10 and can be played two matches per day:
Number of days = 10/2
= 5 days.
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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.
