Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
Answer:
is the required domain.
Step-by-step explanation:
We have been given two squares
Let the larger square area be x
We have been given the area of smaller square we need to find the domain of area of larger square.
Domian is the value that x can take in a function
Here, x is the area of the larger square
Since, area of smaller square is 
The area of larger circle has to be greater than
The domain will be all real numbers grater than 10
Mathematically, is the required domain.
Answer:
Quincy read 9 books.
Step-by-step explanation:
Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).
We can set up a proportion.
88% = 0.88
44/0.88 = x/1
Cross multiply:
0.88x = 44
Divide 0.88 to both sides:
x = 50
So your cell phone can hold 50 messages.
If x is time and W(x) is the change in water level at a certain time, then W(x) = 0 indicates when the water level does not change. In other words, the change in water level is 0.
This occurs exactly at the x intercepts as the x-intercepts are points of the form (x,0) where x is some number and the y coordinate is always 0. These special points are also known as roots. The roots or x intercepts are places where the curve crosses the x axis. The handy thing about roots is that they are visually easy to find, and relatively easy to comprehend no matter what math level you deal with. This is why many people of different backgrounds can understand what is going on even if they haven't taken a formal math course (in a while). So if you're giving a presentation, you can simply point to where the roots are and the managers would most likely understand.
In terms of algebra, it depends on the complexity of the polynomial. For cubics and higher, you'll most likely need a graphing calculator or special software to get the approximate solution. Factoring and using the rational root theorem is a bad idea as it would take a while. It might not even be possible if the roots aren't whole numbers. Thankfully software makes the process relatively painless.
