In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
First, replace the “?” with an x:
x - 2x - 5 = 5
Next, combine alike terms:
[ x - 2x ] - 5 = 5
^ alike terms
This will result in:
-x - 5 = 5
You do the inverse (opposite) of -5
-x -5 = 5
+5
Once you do the plus 5, the five moves to the end of the equation:
-x - 5 = 5 + 5
+5>>>>>^
The “-5” no longer exists because you canceled it with the “+5” that you moved to the other side.
The new equation:
-x = [5 + 5]
^ you add these two
After adding you get:
-x = 10
When putting “x” into a number it will ALWAYS be 1.
You then divide both sides by the “x” (which is -1 since it it always equal to one but is negative because it has a negative sign on it)
Your new equation:
-x / -1 = 10 / -1
If you divide to negatives, this will result in a positive.
You’re left with:
-x / -1 = x (since two negatives become a positive result)
10 / -1 = 10 (if there’s a negative and positive when dividing, it will automatically become negative) [ONLY FOR DIVISION]
At the end you’re left with:
x = -10
hope this helps!! if not feel free to reach out to me!!
Answer:
D) 2² × 3² × 5 × 7
Step-by-step explanation:
Data:
Factors of first number = 2² × 3 × 5
Factors of second number = 2 × 3² × 2 × 7
Calculations:
Rewrite the factors in ascending order
Factors of first number = 2² × 3 × 5
Factors of second number = 2² × 3² × 7
Multiply each factor by the greatest number of times it occurs in either number
LCM = 2² × 3² × 5 × 7
If you are just trying to find the volume of the cylinder shown the answer should be 25pi squared * 20 which is 39269.91 cubic ft. But I’m not quite sure how the number for the base of a tower is incorporated into the equation.