The sequence an = -5 + (n - 1)14 is an arithmetic sequence
The value of a10 is 121
<h3>How to determine the the a10-th term?</h3>
The sequence is given as:
an = -5 + (n - 1)14
To calculate the value of a10, we set n = 10
So, we have:
a10 = -5 + (10 - 1) * 14
Evaluate the difference
a10 = -5 + 9 * 14
Evaluate the product
a10 = -5 + 126
Evaluate the sum
a10 = 121
Hence, the value of a10 is 121
Read more about sequence at:
brainly.com/question/6561461
Answer:
About 67 men
Step-by-step explanation:
You multiply 112 by 3/5 or .6 to get 67.2 which rounds to 67 because there can not be .2 of a person.
To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
