Answer:
B. 28
Step-by-step explanation:
Since (4x + 10) and 122 degrees are angles that are across from each other (vertical angles), they equal each other.
4x + 10 = 122
-10 -10
4x = 112
/4 /4
x = 28
Answer:
-30a^5b + 12a^4b^3 + 16a^3b^2 - 4a^2b^4 - 2 ab^3
Step-by-step explanation:
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given the table
Year Value ($)
1 18,000
2 15,300
3 13,005
Let us check the sequence
18000, 15300, 13005,...
Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:
As the ratio of all the adjacent terms is the same, so
Therefore, the given sequence is a geometric sequence
Part b)
Given the sequence
18000, 15300, 13005,...
The nth term of the geometric sequence is
here
so
In order to determine the car worth in the 15th year, substitute n = 15
$
Therefore, the worth of a car in the 15th year will be: $1850
Answer:
Volume of the completes tower = 160 units³
Step-by-step explanation:
Martin is using unit cubes to build a tower in the shape of rectangular prism.
Bottom layer of the prism is in the square shape.
Since number of unit cubes used in the bottom layer = 16
So, one side of the square base will measure = √16 = 4 units
Therefore, Length = width = 4 units
On this base, additional layers added on the top = 9
Therefore, height of the tower = (9 + 1) = 10 units (each layer having 16 cubes)
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
Volume of the completed tower will be 160 cubic units.