Answer:
see below
Step-by-step explanation:
-2> x ≥ -7 can be written as -7 ≤ x < -2
Given Problem to be solved :
If the day before yesterday was sunday? What day is one week from today.
Let's analyze this given situation:
First the days before yesterday is
=> SUnday
So meaning yesterday is
=> Monday
And today is
=> Tuesday.
Now, what day will be one week from now, we all know that 1 week has 7 days. SO let's start counting:
1. Wednesday
2. Thursday
3. Friday
4. Saturday
5. Friday
6. Sunday
7. Monday.
Thus, the day is MOnday
Answer:
C. ![-0.00005d^2+11.8d-9000](https://tex.z-dn.net/?f=-0.00005d%5E2%2B11.8d-9000)
Step-by-step explanation:
Given:
Cost Price for producing 'd' dog lashes = ![9000+3.2d](https://tex.z-dn.net/?f=9000%2B3.2d)
Revenue Generated from selling 'd' dog lashes = ![d(15-0.00005d)](https://tex.z-dn.net/?f=d%2815-0.00005d%29)
We need to find the profit earned from producing and selling 'd' dog lashes.
Solution:
Now we know that;
profit earned from producing and selling 'd' dog lashes can be calculated by Subtracting Cost Price for producing 'd' dog lashes from Revenue Generated from selling 'd' dog lashes.
framing in equation form we get;
Profit earned = ![d(15-0.00005d)-(9000+3.2d)](https://tex.z-dn.net/?f=d%2815-0.00005d%29-%289000%2B3.2d%29)
Now Applying Distributive property we get;
Profit earned = ![15d-0.00005d^2-9000-3.2d](https://tex.z-dn.net/?f=15d-0.00005d%5E2-9000-3.2d)
Now Combining like terms we get;
Profit earned = ![-0.00005d^2+15d-3.2d-9000](https://tex.z-dn.net/?f=-0.00005d%5E2%2B15d-3.2d-9000)
Profit earned = ![-0.00005d^2+11.8d-9000](https://tex.z-dn.net/?f=-0.00005d%5E2%2B11.8d-9000)
Hence Profit earned from producing and selling 'd' dog lashes is
.
Given data:
The given radius of sphere is r=9.
The volume of the sphere is,
![V=\frac{4}{3}\pi(r)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%28r%29%5E3)
Substitute the given values in the above expression.
![\begin{gathered} V=\frac{4}{3}\pi\times(9)^3 \\ =972\pi \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%5Ctimes%289%29%5E3%20%5C%5C%20%3D972%5Cpi%20%5Cend%7Bgathered%7D)
Thus, the volume of sphere is 972π.