Answer: the 32nd term is - 3
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 15.6
d = 15 - 15.6 = 14.4 - 15 = - 0.6
n = 32
The explicit formula for the arithmetic sequence is
Tn = 15.6 - 0.6(n - 1)
We want to determine the value of the 32nd term, T32. Therefore,
T32= 15.6 - 0.6 (32 - 1)
T32 = 15.6 - 18.6
T32 = - 3
Answer:
1. 7:1
2. 1:8
Step-by-step explanation:
1. Start by counting the number of triangles. We see: 56 triangles. Then, count the hearts. We see: 8 hearts.
So, the ratio of triangles to hearts is 56:8 which we simplify to get: 7:1.
2. Start by adding triangles to hearts. We get: 56+8 which equals 64.
The amount of hearts equals 8 so the ratio of hearts to (hearts + triangle) is! 8:64 which equals 1:8.
Answer:
= 4.875 × 105
Step-by-step explanation:
Answer:
There are 8 numbers.
4 of the numbers are even ( 2, 4, 6, 8)
The probability is the number of even numbers over the total numbers:
4/8 which reduces to 1/2.
The answer is 1/2
Answer:

Step-by-step explanation:
The coordinates are (-6,0) and (-8,6)
<u><em>Finding slope of the line</em></u>
Slope = 
Slope = 
Slope =
Slope = -3
Parallel lines have equal slopes.
So, the line which is parallel to this line is y = negative 3 x + 3