Answer:
3x + 13y
Explanation:
6x + 8y − (3x − 5y)
Distribute the Negative Sign
6x + 8y + −1(3x − 5y)
6x + 8y + −1(3x) + −1(−5y)
6x + 8y + −3x + 5y
Combine Like Terms
6x + 8y + −3x + 5y
(6x + −3x) + (8y + 5y)
= 3x + 13y
Answer:
7.8(tan 67)
Step-by-step explanation:
7.8(tan 67)
= 18.4 (2 decimal place)
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: The required ratio would be 3 miles : 4 minutes.
Step-by-step explanation:
Since we have given that
Speed of a cheetah = 45 miles per hour
So, it means
Distance = 45 miles
Time = 1 hour = 60 minutes
So, the ratio of the distance it travels to the time it takes would be
Distance : Time

Hence, the required ratio would be 3 miles : 4 minutes.
Answer:
6.
Step-by-step explanation:
Source: Desmos.
When the points are plotted, the shape is a polygon. The polygon has 6 sides.
Picture represents the polygon shape, and its sides