![\huge \bf༆ Answer ༄](https://tex.z-dn.net/?f=%5Chuge%20%5Cbf%E0%BC%86%20Answer%20%E0%BC%84)
Let's solve ~
![\qquad \looparrowright \sf - 7 \sqrt{80 {x}^{4} y {}^{2} }](https://tex.z-dn.net/?f=%5Cqquad%20%5Clooparrowright%20%5Csf%20-%207%20%5Csqrt%7B80%20%7Bx%7D%5E%7B4%7D%20y%20%7B%7D%5E%7B2%7D%20%7D%20)
![\qquad \looparrowright \sf - 7 \sqrt{2 {}^{4} \times 5 \times {x}^{4} \times {y}^{2} }](https://tex.z-dn.net/?f=%5Cqquad%20%5Clooparrowright%20%5Csf%20-%207%20%5Csqrt%7B2%20%7B%7D%5E%7B4%7D%20%20%5Ctimes%205%20%5Ctimes%20%20%7Bx%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7By%7D%5E%7B2%7D%20%7D%20)
![\qquad \looparrowright \sf - 7 \times {2}^{2} \times {x}^{2} \times y \times \sqrt{5}](https://tex.z-dn.net/?f=%5Cqquad%20%5Clooparrowright%20%5Csf%20-%207%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%20y%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
![\qquad \looparrowright \sf - 28 {x}^{2} y \sqrt{5}](https://tex.z-dn.net/?f=%5Cqquad%20%5Clooparrowright%20%5Csf%20-%2028%20%7Bx%7D%5E%7B2%7D%20y%20%5Csqrt%7B5%7D%20)
Therefore, Option D is correct ~
To add complex numbers, it is necessary to group the similar terms (real and real, then imaginary and imaginary) before simplifying. This will be done as follows:
(-4 + i) + (10 - 5i)
Grouping similar terms:
(-4 + 10) + (i - 5i)
6 - 4i
From the choices, the correct answer is C.
Answer:
Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Step-by-step explanation:
Since the Gotemba walking trail up Mount Fuji is about 9km long, and walkers need to return from the 18km walk by 8pm, if Toshi estimates that he can walk up the mountain at 1.5km / h on average, and down at twice that speed , these speeds taking into account meal breaks and rest times, to determine what is the latest time he can begin his walk so that he can return by 8pm the following calculation must be performed:
Climb: 1.5 km / h
Descent: 2 x 1.5 km / h = 3 km / h
Climb: 9 km / 1.5 km / h = 6 hours
Descent: 9km / 3 km / h = 3 hours
Total: 9 hours
8 PM = 20:00
20:00 - 09:00 = 11:00
Thus, Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
We can use ratios here. The real size would have to be proportional, meaning that if I increase the line on the drawing 5 times, the real size would have to increase 5 times as well.
We can obviously see, after having said that, that the real window would have to be 35ft long (because we multiplied 1 inch by 5, and if 1 inch represents 7 feet, then we also have to multiply that by 5 so it’s proportional, and 7*5=35)
We can check too — 1 in : 7 ft = 5 in : x ft
x = (7ft * 5in) / 1in — we would get the same result :)
I had to google what the bus stop method was so I apologize if this is wrong.
First, you think about if 11 can go into 6. Since it can’t you move on another digit by adding a decimal after the six and a 0 after the decimal. Also remember to play a decimal above the place where the decimal is in the box. Next, you think about if 11 can go into 60, it can go in 5 times. So the answer is approximately .5. I will attach a picture if it helps.