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Luden [163]
3 years ago
13

Question 10 (1 point)

Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.

Step-by-step explanation:

The concentration monitored ar time, t > 0 is represented by :

C(t) = 30t / (t² + 2.)

At, t = 1

C(1) = 30(1) / (1 + 2) = 30/3 = 10

At t = 2

C(2) = 30(2) / (2² + 2) = 60/(4+2) = 60/6 = 10

At t = 3

C(3) = 30(3) / (3² + 2) = 90/ 11 = 8.18

At t = 4

C(4) = 30(4) / (4²+2) = 120/18 = 6.67

At t = 5

C(5) = 30(5) / (5²+2) = 150/ 27 = 5.55

At t = 10

C(10) = 30(10) / (10²+2) = 300/102 = 2.94

From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.

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To the nearest tenth, what is the y-coordinate for point A? 4.5 4.6 4.7 4.8
fomenos
the complete question is
<span>Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.
To the nearest tenth, what is the y-coordinate for point A?
A: 4.5
B: 4.6
C: 4.7
D: 4.8
see the attached figure

we know that
the equation of the circle is
(x-h)</span>²+(y-k)²=r²
(h,k) is the center---------> (h,k) is the point (0,0)
r=5 units
so
(x-h)²+(y-k)²=r²--------> (x-0)²+(y-0)²=5²------> x²+y²=25

substitute the value of x=-2 in the equation
(-2)²+y²=25------> y²=25-4------> y=(+/-)√21
the y coordinate of point A is positive----> see the picture
therefore
y=√21-----> 4.58-----> y=4.6

the answer is
the y-coordinate for point A is 4.6


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