Answer:
A rational number.
Step-by-step explanation
A rational number is a ratio of whole numbers.
1/3 is the ratio of 1:3
3:1 becomes 3/1 = 3
32:10 can be written 32/10 or 16/5 or 3.2
16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.
Therefore, 3.2 which can be expressed as 16/5 is a rational number.
Well if she added three blue and four red originally, and is now using 16 red then we would divide 16 by the original four. Which means to get the number of blue we are gonna end up multiplying by four. So three times four is twelve. Which means she would use 12 blue and 16 red to get the same color she got with 3 blue and 4 red earlier. The equation, lets use x for blue and y for red, would be 4(3x + 4y) = desired color
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:
108cm
(B)
Step-by-step explanation:
Find the area of the triangle first.
6 * 4 = 24/2 = 12
Multiply by the width.
12 * 9 = 108
