Answer:
x = -7
Step-by-step explanation:
-6x + 3 = 45
First, we need to get rid of the 3 by subtracting it by 3. We need to do the same to the number on the other side.
-6x + 3 = 45
-3 - 3
-<em>6x = 42</em>
Then, to iolate the x, we need to divide -6 by itself to cancel the number out and get x alone. We also need to divide 42 by -6 as well.

42 divided by -6 is -7.

I hope this helps!
Answer:
About 0.5
Step-by-step explanation:
By the law of sines:

Hope this helps!
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:
A. 5.3
Step-by-step explanation:
While both of these numbers are close to 7, 5.3 is the closest and we can find this out with subtraction. So, 9.9 - 7 = 2.9, but 7 - 5.3 = 1.7. Which one can we determine is closer? Well, 2.9 > 1.7, so our answer must be A. 5.3!
Have a nice day and I hope this helped!
Answer:
Slope=−
2.000
6.000
=−3.000
x−intercept=
3
14
=4.66667
y−intercept=
1
14
=14.00000
Step-by-step explanation:
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