Answer:
It's a Zero slope
<em><u>I may be wrong about this but this is what I think it is:</u></em>
y=0x-3
<span>There are 47,124 different committees you can select.
Explanation:The number of combinations of 9 teachers taken 3 at a time is given by
</span>
![_9C_3=\frac{9!}{3!6!}=84](https://tex.z-dn.net/?f=_9C_3%3D%5Cfrac%7B9%21%7D%7B3%216%21%7D%3D84)
<span>
The number of combinations of 34 students taken 2 at a time is given by
</span>
![_{34}C_2=\frac{34!}{2!32!}=561](https://tex.z-dn.net/?f=_%7B34%7DC_2%3D%5Cfrac%7B34%21%7D%7B2%2132%21%7D%3D561)
<span>
Together this makes 84*561 = 47124 combinations.</span>
1.667
Basically divide the number by 2
Answer:
lateral surface area of the cone =49π
Step-by-step explanation:
y= x/4
dx/dy = 4
Given x range as from 0 ≤ x ≤ 7 ⇒ x ranges between (a,b)
a= x/4 = 0/4 = 0
b = x/4= 7/4
lateral surface area of the cone
![\int\limits^b_a {2\pi x\sqrt{1 + (\frac{dx}{dy})^2 } } \, dx \\\\= \int\limits^{\frac{7}{4}}_0 {2\pi (4y)\sqrt{1 + (4)^2 } } \, dx \\\\= 32\pi \int\limits^{\frac{7}{4}}_0 { y } \, dx \\\\= 32\pi [\frac{y^2}{2}]|^\frac{7}{4}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5Eb_a%20%7B2%5Cpi%20x%5Csqrt%7B1%20%2B%20%28%5Cfrac%7Bdx%7D%7Bdy%7D%29%5E2%20%7D%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%20%5Cint%5Climits%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D_0%20%7B2%5Cpi%20%284y%29%5Csqrt%7B1%20%2B%20%284%29%5E2%20%7D%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%2032%5Cpi%20%5Cint%5Climits%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D_0%20%7B%20y%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%2032%5Cpi%20%5B%5Cfrac%7By%5E2%7D%7B2%7D%5D%7C%5E%5Cfrac%7B7%7D%7B4%7D_0)
=32π * 49/(16 *2)
=49π
Answer:
I think so.................