Let’s say that the present age ofNorma’s daughter is ‘x’ years. Then 4 years ago, her age was (x - 4) years. Therefore, Norma’s age 4 years ago was: (x - 4) + 3(x - 4) = 4(x - 4) years. 6 years from now, the daughter’s age will be (x + 6) years, and Norma’s age will be: 2(x + 6) years.
Now, 6 years from now will be (6+4), i.e., 10 years away from 4 years ago. Thus, Norma’s age 6 years from now can also be written as 4(x - 4) + 10 = (4x - 6) years. Therefore, 2(x + 6) = 4x - 6.
Or, 2x + 12 = 4x - 6.
Or, 2x = 18.
Thus, the daughter’s age (x) = 9 years, and Norma’s present age = 4(x - 4) + 4 = 24 years.
This is a cylinder so the formula would be πr²h.
V = (3.14)(4)²(9)
V = 452.16
The volume of the pencil holder is 452.16 cm³
Hope this helps :)
Answer:
-i
Step-by-step explanation:
i^0=1
i^1=i
i^2=-1
i^3=-i
i^4=1
This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.
So i^(23)=i^3=-i.
i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.
Answer:
Yes
Step-by-step explanation:
Answer: Option b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option b.