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baherus [9]
3 years ago
7

Question Help

Mathematics
1 answer:
stepladder [879]3 years ago
6 0
Set R(x) equal to C(x).  Solve the resulting equation for x, paying attention to the domain of C(x):

Solve 200x-2x^2 = -x^2 + 25x + 31000 for x greater than or equal to zero but less than or equal to x.  That means you must reject any solution outside of this domain.

Rearrange all of these terms on the left side of your equation and place zero on the right side.  Next, rearrange all of the terms on the left side in descending order by powers of x.  Next, solve the resulting quadratic equation.  Make certain to reject any x that does not fall within [0,100].
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Mr.Driscoll has 9 reports to grade.There are 6 pages for each report.He grades 12 pages.How many pages does he still have to gra
Juli2301 [7.4K]
42 pages left to grade and 7 reports left
8 0
3 years ago
A model for tumor growth is given by the Gompertz equation dV dt = a (In b-, In V) V where a >0 and b >0 are constants and
Xelga [282]

Answer:

V(t) = b^{(1-e^{-at})}

Step-by-step explanation:

We are given the following information in the question:

\displaystyle\frac{dV}{dt} = a (In b - In V) V

where a > 0 and b > 0.

\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}

V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}

where v(t) is the required tumor volume as a function of time that has an initial tumor volume of V(0) = 1 cubic mm.

5 0
3 years ago
8x + 4 = 44<br>What is x?<br><br>Test
ale4655 [162]
8x = 44 -4
8x = 40
x = 40/8
x = 5
8 0
3 years ago
Read 2 more answers
EASY GEOMETRY** name the angle labeled in blue​
anyanavicka [17]
Obtuse
The angle is larger than 90° but smaller than 180°
7 0
3 years ago
Read 2 more answers
Xavier rides his bike 5 1/4 miles or 82% of his goal for the day. What is his goal for the day?
Leno4ka [110]
Use ratio and proportion

5.25/x= 82/100
cross multiply
82 x= 525
     x= 6.4 miles

Hope this helps
8 0
2 years ago
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