Answer:
8. (0,-2)
9. (-2,1)
Step-by-step explanation:
Lucy's house is at (1,1)
Down means in the y coordinate , left means negative x
Down 3 means subtract 3 from y
left 1 means subtract 3 from x
(1-1, 1-3)
(0,-2)
9. Lucy is at (1,1)
3 units to the left
left means subtract 3 from x
(1-3, 1)
(-2,1)
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:
-12.5 i think
Step-by-step explanation:
No its not posible because the sine is 1.5 and it cant be higher then 1
0 solutions
move the x to one side, and the numbers to the other.
12x (-12x) + 32 (-32)= 12 (-12x) - 7 (-32)
12x - 12x = -7 - 32
0 = -39
0 ≠ -39
∴ you have 0 solutions
hope this helps
