Need help ASAP plz I have to finish but I’m stuck here

A patient with end-stage kidney disease has nine family members who are potential kidney donors. How many possible orders are th

eduard

Answer: 504

Step-by-step explanation:

When we select r things from n things in a order , we use permutations.

Formula for permutation: $^nP_r=\dfrac{n!}{(n-r)!}$

Given : The number of family members who are potential kidney donors. = 9

Number of people needed to be selected for best match, a second-best match, and a third-best match ( in an order)=3

Then, the number of possible orders are = $^9P_3=\dfrac{9!}{(9-3)!}$

$=\dfrac{9\times8\times7\times6!}{6!}=504$

Hence, the number of possible orders 504.

4 0

3 years ago

Let If f(x)=9 what is x

Eddi Din [679]

9/f would be your answer. Hope I helped

4 0

3 years ago

Read 2 more answers

Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

Given the initial condition $y(0)=0$ , we find

$0=\dfrac6{1-C}-3\implies C=-1$

so that the ODE has the particular solution,

$\boxed{y=2x+\dfrac6{1+e^{6x}}-3}$

5 0

3 years ago

40% of what number is 82?

Naya [18.7K]

82*100/40 = 205

<span>40% 0f 205 = 205*40% = 205*40/100 = 82
hopes this helps :) :D :)</span>

4 0

3 years ago

Read 2 more answers

Blhvjh gjfgfkytdkykdyrckhg

Dimas [21]

Answer:

tvubhgfyvug fyicvuui

Step-by-step explanation:

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8 0

3 years ago