Answer:
63
Step-by-step explanation:
Each term in a geometric sequence progresses by multiplying a constant (let us name it <u>r</u>).
Let us<u> solve for this constant</u> r in order to find the 13th term.
If the seventh term is 7, the tenth term would be 7*r*r*r, or . We also happen to know that the 10th term is 21. Let us make a <u>new equation</u>:
or, approx. 1.442249570307408
Using the same logic, the 13th term would be 7*r*r*r*r*r*r, or . We may now <u>substitute</u> what we know, r, into this expression to obtain the 13th term:
Therefore, the 13th term of this progression is 63.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.
11.85 which rounds to 12, 12 should be the correct answer
Answer:
1 or 4/4
It is certain that the spinner will land on a number less that 5 because the selections are labeled 1 to 4 and the numbers 1 to 4 are less than 5.
Answer:
x=2
Step-by-step explanation:
12x^2+5x-4 = 12x^2+6
Subtract 12x^2 from each side
12^x2-12x^2+5x-4 = 12^2x-12x^2+6
5x-4 = 6
Add 4 to each side
5x-4+4 = 6+4
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2