Answer:
33/24 or 11/8, or 1 9/24 or 1 3/8
Step-by-step explanation:
you have to find a common denominator between the two fractions. The least common denominator for 9 and 8 is 24. Since you multiply 9 by 3 to get 24, you multiply 5 by 3 and get 15. You now have the fraction 15/24. Since you multiply 8 by 3 to get 24, you also multiply 6 by 3, which is 18. You now have the fraction 18/24. You add 15/24 and 18/24, and you get 33/24, which can be simplified to 11/8. It can be shown as 1 9/24 as a mixed number, and simplified to 1 3/8.
9514 1404 393
Answer:
149.04°
Step-by-step explanation:
You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.
When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)
You find the 2nd-quadrant angle by adding 180° to this value:
-30.96° +180° = 149.04° = arg(-5+3i)
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The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.
Answer:
6(8+3x)
Step-by-step explanation:
48+18x = 6(8+3x)
Combine like terms on #13 and that's all you can do on that one because there's nothing that'll go into all three of those. So the answer will just be two x squared minus x minus 36
Answer:
See the procedure
Step-by-step explanation:
we know that
To find the population density per m² of each of the above species, divide the amount of each species by the total area
so
<em>Ferns</em>
<em>Grass plants</em>
<em>Oaks Trees</em>