Answer:
- area: 189 ft²
- volume: 1323 ft³
Step-by-step explanation:
The area of the rectangular floor is the product of its length and width:
A = LW = (21 ft)(9 ft) = 189 ft²
The volume of the pod is the product of that floor area and the height:
V = Bh = (189 ft²)(7 ft) = 1323 ft³
The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.
For this case we have the following expression:

Applying distributive property to the terms within parentheses we have:

We add similar terms on both sides of equality considering that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

We add 7.5x to both sides of equality:

We subtract 72 from both sides of equality:

We divide between 3 on both sides of equality

ANswer:
Distributive property
Add similar terms
Equality property of the sum
Equality subtraction property
Equality property of the division
What you put is correct because two negatives make a positive so it would be 5 + 7 making it the greatest value
Answer:
The simplified form of the given expression is (2x-1).
Step-by-step explanation:
Consider the given expression is

According to the Inverse Properties of In

In the given expression the power of e is (2x-1).
Using the Inverse Properties of In, we get

Therefore, the simplified form of the given expression is (2x-1).
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.