Answer:
<em>Just don't eat the fruitcake my manz.</em>
Step-by-step explanation:
Answer:
4x^14
Step-by-step explanation:
(4x^5y³)÷(y³x^-9)
4x^14
11: To add 3/8 and 2/5 you need to find the least common denominator (in this case 40), and change both fractions by multiplying to get the least common denominator and add them together
2/8 = 10/40
2/5 = 16/40
16/40 + 10/40 = 26/40 = 13/20
12 a: 5/6 = 45/54
4/9 = 24/54
45/54 - 24/54 =21/54
b: 7/10 = 56/80
3/8 = 30/80
56/80 = 30/80 = 26/80 = 13/40
There is no solutions when you solve this algebraically, it ends up with 4 = 0 which is not true. When you graph it, the two equations are parallel, so there is no real solution.
Answer:
Step-by-step explanation:
<u>Sum of the first n terms of an arithmetic series formul</u>a:
where:
- a is the first term.
- d is the common difference between terms.
Given:
Substitute the given equation into the formula and rearrange:
Therefore:
Therefore:
Substitute the found value of d:
Check the found values of a and d by substituting them into the sum formula and rearranging:
As the equation matches the given equation, this verifies that:
- First term = -9
- Common difference = 2
<u>General form of an arithmetic sequence</u>:
where:
- is the nth term.
- a is the first term.
- d is the common difference between terms.
To find the 103rd term, substitute the found values of a and d together with n = 103 into the formula:
Therefore, the 103rd term of the arithmetic sequence is 195.
Learn more about arithmetic sequences here:
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