Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
x = 42°
y = 69°
Step-by-step explanation:
From the picture attached,
Given triangle is an isosceles triangle.
Therefore, two sides will be equal and measure 8 yd.
Measure of 3rd side of the triangle = 6 yd
Perimeter of the garden = 8 + 8 + 6
= 22 yd
In an isosceles triangle, opposite angles of the equal sides will be equal.
Therefore, y = 69°
By the property of interior angles of a triangle,
x° + y° + 69° = 180°
x° + 69° + 69° = 180°
x = 180 - 138
x = 42°
Answer:
Equation: r-20=74
Step-by-step explanation:
So he started with 94. I got B
Answer:
Step-by-step explanation:
So, 
= 
Hope this helps :)
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
