Answer:
![\huge \boxed{(x+7)^2 }](https://tex.z-dn.net/?f=%5Chuge%20%5Cboxed%7B%28x%2B7%29%5E2%20%7D)
Step-by-step explanation:
The quantity x + 7 is squared.
![(x+7)^2](https://tex.z-dn.net/?f=%28x%2B7%29%5E2)
Expand the brackets and simplify the expression.
![(x+7)(x+7)](https://tex.z-dn.net/?f=%28x%2B7%29%28x%2B7%29)
![x(x+7)+7(x+7)](https://tex.z-dn.net/?f=x%28x%2B7%29%2B7%28x%2B7%29)
![x^2 +7x+7x+49](https://tex.z-dn.net/?f=x%5E2%20%2B7x%2B7x%2B49)
![x^2 +14x+49](https://tex.z-dn.net/?f=x%5E2%20%2B14x%2B49)
We can leave the expression in factored form.
<span>Don't forget S is measured in thousands of units so you are solving for :
100 < 74.5 + 43.75Sin(πt/6)
25.5 < 43.75Sin(πt/6)
Sin(πt/6) >25.5/43.75 = 0.582857
ASrcSin(πt/6) > 0.62224 radians
πt/6 > 0.62224
t > 6 x 0.62224/π = 1.1884 (4dp)
This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3.
Consequently, monthly sales exceed 100,000 during the period between t = 1.1884 and 4.8116
[3 - 1.1884 = 1.8116 so the other extreme occurs at 3 + 1.8116]
Note : on the basis of these calculations, January is 0 ≤ t < 1 : February is 1 ≤ t < 2 :....May is 4 ≤ t < 5
So the period when sales exceed 100,000 occurs between Feb 6 and May 25 and annually thereafter.</span>
Answer:
The diameter is 51 feet
Step-by-step explanation:
Answer: 3 7/15
Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of 1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.
Hope it helps and look at pic below to see the steps :)