Answer: The last member has to finish <u><em>11 more laps</em></u> to complete <u><em>50 total laps</em></u>
Step-by-step explanation:
of 50 = 20
2nd swimmer 8
22% of 50 =<u> + 11 </u>
39 laps
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50 - 39 =<em><u> 11 laps </u></em><em> (4th and last swimmer)</em>
<em>---------------------------------------------</em>
<em>P.S. I think this answer is late now </em>
Domain is the years from 2000 through 2020 inclusive
<span>at 2000, t = 2000-2009 = -9 </span>
<span>at 2020, t = 2020-2009 = 11 </span>
<span>Domain: -9 ≤ t ≤ 11 </span>
<span>P(t) = 80(0.98)t </span>
<span>Since population models are almost always exponential, I'll assume you meant the "t" to be an exponent and the model should be: </span>
<span>P(t) = 80•0.98^t = 80 → t = 0 </span>
<span>The population is 80 at t = 0. The year corresponding to t = 0 is 2009</span>
Answer:
We can say that is FALSE because the inhomogeneous sytem
can present an unique solution
if
, so this is a good counter example on which we have a vctor that is not the trivial solution and we don't have an infinite number of solution.
Step-by-step explanation:
For this case we can use the following definition:
Let
a linear system, this system is called homogeneous if
and in other case is called inhomogeneous.
So then for the statement "The inhomogeneous system of equations Ax=b, where
, has either the trivial solution or an infinite number of the solutions."
We can say that is FALSE because the inhomogeneous sytem
can present an unique solution
if
, so this is a good counter example on which we have a vctor that is not the trivial solution and we don't have an infinite number of solution.
Answer:
Step-by-step explanation:
Let x = width in ft
y= length in ft
Given, y = 3+2x ----(1)
Area = xy = 77 ft2
Using (1) to replace y
3x+2x2=77
2x2+3x-77=0
Solve this quadratic equation, a=2, b=3, c=-77
x=(-3(+or-)sqrt(32-4*2*(-77)))/(2*2)
= (-3 (+ or -) sqrt(9+616))/4
= (-3 (+ or -) sqrt(625))/4
= (-3 (+ or -) 25)/4
x = (-3+25)/4 or x = (-3-25)/4
= 22/4 = -28/4
x = 5.5 x = -7
x is the length and can't be negative. so, proceed with x= 5.5
xy = 77
y = 77/5.5 = 14
Dimensions of the rectangle are 5.5ft and 14 ft
(Check: 2* 5.5 + 3 = 11+3 = 14)