Answer:
n=4096+(n-1)*-2048
Step-by-step explanation:
First remove the parenthes as there is a negtive outside the second parentheses the signs of the terms inside change.
= 2n^4 - 8 - 3n - 4n^2 - 7n - 4
Now simplify like terms
= 2n^4 - 4n^2 - 10n - 12
= 2(n^4 - 2n^2 - 5n - 6)
Answer:
<em>Option D: 159 3/8 cm^3 </em>
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
<em>159 3/8 cm^3</em>
4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>
Answer:
x = 28°
Step-by-step explanation:
Take angle on a straight line which is equal to 180°
180° =(108 + 44 + x)°
180° = 152° + x°
180° - 152° = x°
28° = x
