Answer:
The explicit formula is 15 + (n-1) -4
Step-by-step explanation:
The formula for an explicit formula is an = First number of the sequence (15) + (n-1)(times the amount of integers separating two different sequential numbers) which is -4.
For instance, since 15 is the first number, it will be a1 or 15. Next will be + (n-1) which is the same for every explicit sequence and the multiplier will be the difference between each number, which is -4 in the recursive sequence. As a result, the answer is 15 + (n-1) -4.
<h3>
Answer: 13/36</h3>
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Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
- outcome = 1+1 = 2
- outcome = 1+2 = 3
- outcome = 2+1 = 3
- outcome = 3+6 = 9
- outcome = 4+5 = 9
- outcome = 5+4 = 9
- outcome = 6+3 = 9
- outcome = 4+6 = 10
- outcome = 5+5 = 10
- outcome = 6+4 = 10
- outcome = 5+6 = 11
- outcome = 6+5 = 11
- outcome = 6+6 = 12
These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately
Answer:
Lines can be divided in smaller segments by using ratios
The coordinates of B are:
The given parameters are:
The coordinate of B is calculated using:
So, we have:
Simplify fraction
Hence, the coordinates of B are:
Step-by-step explanation:
Answer: x=
-3/4y+6
Step-by-step explanation: Let's solve for x.
4x+3y=24
Step 1: Add -3y to both sides.
4x+3y+−3y=24+−3y
4x=−3y+24
Step 2: Divide both sides by 4.
4x/4=−3y+24/4