Answer:
<u>-21844</u>
Step-by-step explanation:
<u>Finding n</u>
- -16384 = -4(4)ⁿ⁻¹
- 4ⁿ⁻¹ = 4096
- 4ⁿ⁻¹ = 64²
- 4ⁿ⁻¹ = (8²)²
- 4ⁿ⁻¹ = (4³)²
- n - 1 = 6
- n = 7
<u>Finding The Sum</u>
- S₇ = -4(4⁷ - 1) / 4 - 1
- S₇ = -4 (16383) / 3
- S₇ = -65536/3
- S₇ = <u>-21844</u>
Answer:
110 in³
Step-by-step explanation:
The volume of a rectangular prism is the product of its dimensions:
V = LWH
V = (10 in)(2 in)(5.5 in) = 110 in³
Answer:
(B) The second one, b√a
Step-by-step Explanation:
Answer: The number is 23
Step-by-step explanation:
Let x be the [number]
Rephrase the expression
a number increased by 11 is equal to twice the number decrease by 12
x+11=2x-12
Add 12 on both sides
x+11+12=2x-12+12
x+23=2x
Subtract x on both sides
x+23-x=2x-x
x=23
Hope this helps!! :)
Please let me know if you have any questions
The correct answer is c I think