Answer:
Number of students in the science club are 38.
Step-by-step explanation:
Let, the number of students in the robotics club = x and the number of students in the science club = y.
Since, there are total 82 students in both the clubs.
So, we have,
.
Moreover, the number of students in the science club are 6 less than those in the robotics club.
So, we get,
Thus, solving the system of equations, we get,
implies implies i.e. 2x= 88 i.e. x= 44
So, implies y= 44-6 i.e. y= 38
Hence, the number of students in the robotics club are 44 and the science club are 38.
Answer:
Answer:
Speed of the wave in the string will be 3.2 m/sec
Explanation:
We have given frequency in the string fixed at both ends is 80 Hz
Distance between adjacent antipodes is 20 cm
We know that distance between two adjacent anti nodes is equal to half of the wavelength
So \frac{\lambda }{2}=20cm
2
λ
=20cm
\lambda =40cmλ=40cm
We have to find the speed of the wave in the string
Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec
So speed of the wave in the string will be 3.2 m/sec
Answer:
x=9
<A=23
<B= 69
Step-by-step explanation:
1. 2x+5+3(2x+5)=92 2. 2x+5+6x+15=92 3. 8x+20=92 4. 8x=72 5. x=9
<A= 2(9)+5=18+5=23
<B= 3(2(9)+5)=3(23)=69
To factor this out, I would actually multiply the (x+3)(x-2) first just so that we can have less parenthesis everywhere. Now, the problem is 2(x²+x-6) + 4(x-2). If we expand these parenthesis, we'll get 2x²+2x-12+4x-8. The simplified version of this is 2x²+6x-20, or 2(x²+3x-10). We can factor the parenthesis to 2(x-2)(x+5), which is the final answer.
Hope this helped!