Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54
The slope of this line is 1
Answer:
8.4in²
Step-by-step explanation:
We are given the dimensions of a box as :
7in = Height
6in = Length
2in = Width
The volume of a box = Length × Width × Height
Volume of a box = 7in × 6in × 2in
= 84in²
We are also told in the question to find the volume of the box if it is scaled down by a factor of 1/10
Hence,the new volume = 84in² × 1/10
= 8.4in²
Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 8.4in²
Answer:
17: B 18: C
Step-by-step explanation:
I hope I helped.
From the list of colors: green, red, blue, and white, there are four colors. The concept that should be used in order to determine the number of 4-color code stripes that can be drawn in the sports car is the concept of BASIC PRINCIPLE OF COUNTING.
The equations that would best help us in answering the question is,
n = 4! (that is, four factorial)
For the first pick, there are four choices. When one is already used then, there are only 3 choices for the second color, and so on until the last color.
n = 4 x 3 x 2 x 1 = 24
Thus, there are 24 types of 4-color codes.
