Find the greates common factor of the following monomials:2r^4s^2 and 36r^4s^3
1 answer:
The greatest common factor is 2
This is because we start by taking the largest factor that goes into both coefficients. Since the first coefficient is 2, we have to try 2 and 1. Since 2 is larger and goes into 36 evenly, we use that.
Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.
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Each of the 4 choices has been drawn step by step as follows:
the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.
Choice I, picture I:
Rotate 180°, reflect over the x-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the y-axis
Choice II, picture II:
Reflect over the x-axis, rotate 180°, reflect over the x-axis
the last transformation should be : reflect with respect to the y-axis
Choice III, picture III:
Rotate 180°, reflect over the y-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the x-axis
Choice IV, picture IV:
Reflect over the y-axis, reflect over the x-axis, rotate 180°
the last transformation should be : rotate 180° CORRECT!
Answer: Reflect over the y-axis, reflect over the x-axis, rotate 180°
the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.
Choice I, picture I:
Rotate 180°, reflect over the x-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the y-axis
Choice II, picture II:
Reflect over the x-axis, rotate 180°, reflect over the x-axis
the last transformation should be : reflect with respect to the y-axis
Choice III, picture III:
Rotate 180°, reflect over the y-axis, reflect over the line y=x
the last transformation should be : reflect with respect to the x-axis
Choice IV, picture IV:
Reflect over the y-axis, reflect over the x-axis, rotate 180°
the last transformation should be : rotate 180° CORRECT!
Answer: Reflect over the y-axis, reflect over the x-axis, rotate 180°
Answer:
-1
Step-by-step explanation:
Given: Mean= 25 minutes.
Standard deviation= 2 minutes
x= 23 minutes.
Lets find the z-score for the number of sandwiches delivered in less than 23 mins.
Formula: Z-score=
Z-score=
⇒ Z-score=
∴ Z-score will be -1
Hence, -1 is the z-score for the number of sandwiches delivered in less than 23 minutes.