Answer:
1.4 × 10^-8
Step-by-step explanation:
The chip is 14 nanometers
14 * .000000001
.000000014
Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation. The exponent will be -8 because we moved it 8 places to the right
1.4 × 10^-8
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:
$50,100
Step-by-step explanation:
Given the scatter plot and the linear model, we can estimate that the total sales for the company after 40 months will be close to $50,000. However, in order to get a more precise answer, we can solve for the total sales, 'y', based on the number of months, 'x', in the given linear model:
y = 0.94(40) + 12.5 = 37.6 + 12.5 = 50.1
Since the amount of sales is in multiples of $1000:
50.1 * 1,000 = $50,100
Answer:
The height of the tower is 130.5m
Step-by-step explanation:
In the question, we are given the following values:
The angles of elevation to the top of the tower from P = 50°
The angles of elevation to the top of the tower from Q = 45°
The angles of elevation to the top of the tower from P = 50°
Hence,cot P = 1/ tan(50°)
The angles of elevation to the top of the tower from Q = 45°
Hence, tan 45° = 1
In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.
Therefore,
PQ = height of the tower( tan Q + 1/tan P)
240m = height of the tower( tan 45° + 1/ tan 50°)
240m = h(1 + 1/tan 50°)
h = (240 m)/(1 + 1/tan (50°))
h = 130.49863962 meters
Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)
From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.
Answer: resulting cross section is a hexagon, correct choice is option 4.