( - 14x^3)(y^3) + 4x^5y^6)/(2x^4y^5)
= 4x^5y^6 - 14x^3y^3/2x^4y^5
= 4x^2y^3 - 14/2xy^2
= 2x^2y^3 - 7/xy^2
Answer: 2x^2y^3 - 7/xy^2
Hope that helps!!!!
<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:
154 students
Step-by-step explanation:
First get the total number of students .
This can be gotten by
12% of A = 21
Where A represents the total number of students.
12% represents the % of A that chose to study French and 21 is the number of students that studied French .
Therefore,
12% /100% x A = 21
0.12 x A = 21
Divide both sides by 0.12
0.12/0.12 x A = 21/0.12
A = 175
The total number of students is 175.
If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.
That’s
175 - 21
= 154
154 students chose not to study French their freshman year
Answer:
5x+9y
Step-by-step explanation:
Answer:
It make 6 circles in a minute.
Step-by-step explanation:
Given:
a ball travels in a complete circle every 10 seconds
i.e
one complete circle = time taken 10 seconds.
Two complete circle = time taken 20 seconds.
Three complete circle = time taken 30 seconds.
Four complete circle = time taken 40 seconds.
Five complete circle = time taken 50 seconds.
Six complete circle = time taken 60 seconds.
60 seconds = one minute.
∴ Six complete circle in one minute.