Using the Pythagorean theorem:
c = sqrt(8^2 + 7^2)
c = sqrt(64 + 49)
c = sqrt(113)
c = 10.6
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:
women : men
5. : 4
x. : 2400
x = 3000
i) 3000 + 2400= 5400
ii) 3000
iii) 3000 - ( 2400+400) = 200
Answer:
x=5
Step-by-step explanation:
First you have to solve for y. Since it is a isoceles triangle, the two base angles are equal. You dont even need to solve for y because both of them will equal 73. Now you know two of the angles are 73 degrees, 146 in total. Since you know the total degrees in a triangle is 180, set up an equation that is adding all the angles to equal 180. Then solve for x.
Solve:
73+73+(6x+4)=180
146+6x+4=180
150+6x=180
6x=30
x=5
