The given sequence is 25, 10, 4.
Notice that this is a geometric sequence because here we have equal common ratio.
So, common ratio : r = 
= 
= 0.4
So, each term is 0.4 times of it's previous term.
Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.
So, fourth / next term = 4* 0.4 =1.6
Hence, next term of this sequence is 1.6.
Hope this helps you!
Answer:
By rounding up of the constant and coefficient terms, we have;
The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x
Step-by-step explanation:
The table for the data on the number of movie admissions each year is presented as follows;
Year, x
Admission, y
0
1.24
2
1.26
4
1.39
6
1.47
8
1.49
10
1.57
Using a graphing calculator, we have that the line of best fit is given by the following equation;
y = 1.23047619048 + 3.45714285714 × 10⁻²·x
Which is approximately, y = 1.23 + 3.46 × 10⁻²·x
Answer:
it would be 0.3 with bar notation
Step-by-step explanation:
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
the answer would be x = 3, 0
Step-by-step explanation:
as much as I would like to, I'm really not that good at explaining things