Answer:
The correct option is B.
Step-by-step explanation:
The given equation are


On solving both the equation, we get




Put this value in the given equation.




The solution of the given system of equation is

The best approximation of the exact solution is (1.3,2.3). Therefore the correct option is B.
Answer:
A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:
A. closed at both ends
B. open at one end and closed at one end
C. open at both ends.
D. we cannot tell because we do not know the frequency of the sound.
The right choice is:
B. open at one end and closed at one end
.
Step-by-step explanation:
Given:
Length of the pipe,
= 120 cm
Its wavelength
= 480 cm
= 160 cm and
= 96 cm
We have to find whether the pipe is open,closed or open-closed or none.
Note:
- The fundamental wavelength of a pipe which is open at both ends is 2L.
- The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.
So,
The fundamental wavelength:
⇒ 
It seems that the pipe is open at one end and closed at one end.
Now lets check with the subsequent wavelengths.
For one side open and one side closed pipe:
An odd-integer number of quarter wavelength have to fit into the tube of length L.
⇒
⇒ 
⇒
⇒ 
⇒
⇒ 
⇒
⇒
So the pipe is open at one end and closed at one end
.
Answer:
1
Step-by-step explanation:
He only has 1 wetsuit and 1 surfboard.
<span> the probability that she rolls an odd number AND and pulls a red chip
so it is = Prob(odd no) * Prob(red chip)
Prob(odd no) for a fair die = 1/2
Prob(red chip) = red chip / total chip = 2/(2+1) = 2/3
so the ans is 1/2 * 2/3 = 1/3
</span>
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)
First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659