Answer: $2.50
Step-by-step explanation: First, divide 10 by 4, which is 2.5.
Second, convert the decimal into a monetary amount, by adding a 0 at the end of the decimal, then adding a dollar sign. I hope this was helpful! FYI, I did NOT Google the explanation, it was all me!!!
Step-by-step explanation:
se dtidhxgkzgkzrhsjlvxnf,b
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Answer:
x=-4.992 and x=-0.434
Step-by-step explanation:
we have
![\frac{\sqrt{3x+15}}{5}=2^{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3x%2B15%7D%7D%7B5%7D%3D2%5E%7Bx%7D)
we can divide the equation above into two equations
so
----> equation A
----> equation B
Solve by graphing
The solutions of the system are the x-coordinates of the intersection points both graphs
using a graphing tool
The solutions are x=-4.992 and x=-0.434
see the attached figure
Answer:
Step-by-step explanation:60
Answer:
P(15, 10)
Step-by-step explanation:
By definition;
![nC_r=\binom{n}{r}=\frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=nC_r%3D%5Cbinom%7Bn%7D%7Br%7D%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
and
![nP_r=\binom{n}{r}=\frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=nP_r%3D%5Cbinom%7Bn%7D%7Br%7D%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
This implies that;
![15P_{10}=\binom{15}{10}=\frac{15!}{(15-10)!}=\frac{15!}{5!}](https://tex.z-dn.net/?f=15P_%7B10%7D%3D%5Cbinom%7B15%7D%7B10%7D%3D%5Cfrac%7B15%21%7D%7B%2815-10%29%21%7D%3D%5Cfrac%7B15%21%7D%7B5%21%7D)
![15C_{10}=\binom{15}{10}=\frac{15!}{(15-10)!10!}=\frac{15!}{5!10!}](https://tex.z-dn.net/?f=15C_%7B10%7D%3D%5Cbinom%7B15%7D%7B10%7D%3D%5Cfrac%7B15%21%7D%7B%2815-10%29%2110%21%7D%3D%5Cfrac%7B15%21%7D%7B5%2110%21%7D)
![15C_{5}=\binom{15}{5}=\frac{15!}{(15-5)!5!}=\frac{15!}{5!10!}](https://tex.z-dn.net/?f=15C_%7B5%7D%3D%5Cbinom%7B15%7D%7B5%7D%3D%5Cfrac%7B15%21%7D%7B%2815-5%29%215%21%7D%3D%5Cfrac%7B15%21%7D%7B5%2110%21%7D)