Answer:
Area = x^2+4x+3
Step-by-step explanation:
The volume of a box is given by the expression
x^3 + 3x^2 - x-3. The height of the box is given by the expression x-1.
volume of the box = Length * width * height
L is the side length of the box;
Given
V(x) = x^3 + 3x^2 - x-3
Factorize
V(x) = x^2(x+3)-1(x+3)
V(x) = (x^2-1)(x+3)
V(x) = (x+1)(x-1)(x+3)
V = LWH
V = Area * Width
Since the height of the box is x - 1
Area = (x+1)(x+3)
Expand
Area = x^2+3x+x+3
Area = x^2+4x+3
Answer:
3.645
Step-by-step explanation:
4.760-0.015=3.645
Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
700.000 = 7 . 10 . 10 . 10 . 10 . 10
We know that equal bases sum the exponents, so,
7 . 10^(1 + 1 + 1 + 1 + 1)
7 . 10^5 = 700.000
But we can also say:
(7 . 10) . 10^4
or
(70 . 10) . 10³
or
(700 . 10) . 10²
or
(7000 . 10) . 10
As we can see, the alternative C shows (7 . 10) . 10^4 which can be a correct ans, so, alternative C.
