Answer: 44°
Step-by-step explanation:
Measures of the angles of a triangle
= 180°
Therefore, 180 - 105 + 31 = 44°
Answer: 4
Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.
Answer:
"No, because y does not change by 5 every time x changes by 1"
Step-by-step explanation:
It is easy to calculate the rate of change of a function when they give you a graph. Just locate yourself on one point on the line whose coordinates are easy to read (for example the point (0, -2) in this graph that is located on the y axis 2 units below the origin of coordinates)
Recall that the rate of change tells you the "rise over the run". That is how many units (up or down) the function changes as you move to the right certain number of units.
It is very simple to find that rate of change when we move one unit to the right. Notice that as you move from (0, -2) one unit to the right (to x=1), in order to find the y-value associated with it on the line, you need to go to the point (1, 2) which forces you to move as well 4 units up (from -2 to 2).
Therefore the rate of change here is 4/1 = 4, and not 5.
So the correct answer is the third option given in the list:
"No, because y does not change by 5 every time x changes by 1"
The EXPONENTIAL REGRESSION equation obtained by fitting the data is
To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL
Using an exponential regression calculator :
The regression equation obtained is :
The general function of an exponential regression function is :
A = 58.031 = Initial value ; B = Decay factor
Hence, the EXPONENTIAL REGRESSION EQUATION obtained using technology is :
Learn more :
brainly.com/question/11169800
Answer:
The sound intensity of a whisper is 333.3 times the reference intensity
Step-by-step explanation:
Given : The function gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity.
A whisper has a sound intensity of 30 decibels.
To find : Use your graph to help you complete the following statement. The sound intensity of a whisper is times the reference intensity.
Solution :
Graph is attached which shows their intersection at (1000,30).
We can also verify by substituting value.
We have given that a whisper has a sound intensity of 30 decibels.
Therefore, y=30 , Let log base 10
Logarithmic property
The ratio of the intensity of the sound to a reference intensity is 1000 decibels
The sound intensity of a whisper is times the reference intensity is
The sound intensity of a whisper is 333.3 times the reference intensity.