First we need to determine the type of progression in the question.That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progressionr = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rulea₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progressiona₁ = 2
Final answer:Recursive rule
a₁ = 2
<span>The volume of a cylinder is the area of the base (π r^2) times the height (h). So it's V = π r^2 h. HOPE I HELPED</span>
This appears to be just an expression we are simplifying, not an equation we are solving. I THINK you are saying that the expression looks like this:
If you rationalize the denominator, you would get this expression:
which, after simplifying, looks like this:
and that's as simple as I can see that one getting. You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!
Answer:
subtract 9 from both sides
Step-by-step explanation:
m + 9 = 45 ( subtract 9 from both sides )
m = 36
Answer:
C. In step 2, Cindy should have multiplied both sides of the equation by 2.
Step-by-step explanation:
I'll go through the equation correctly, and then point out what would have happened.
3 = x/2 - 5
Add 5 to both sides. -5 and 5 cancel out.
8 = x/2
What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.
What would have happened here is that we have an extra step (though either way we still end up with x being 16.)
Correct Step 2:
Multiply both sides by 2. x/2 and 2x cancel out.
x = 16
Incorrect Step 2:
8/2 = (x/2)/2
4 = x/4
Multiply both sides by 4 (this would be the extra step!).
16 = x
