Answer:
x = 10
Step-by-step explanation:
First, subtract 10 from both sides
Next, Simplify
Then, subtract 5/3x from both sides
After, simplify
Lastly, multiply both sides by 3
Then finally simplify for your final answer of x = 10
Hope this helps! :)
Answer:
In math, value can either refer to the result of a calculation or a variable or constant
Answer:
The first one
Step-by-step explanation:
The amplitude is usually the first number (for example, in this equation, the 3). Then you also know that the right or left shift depends on the addition or subtraction sign. Usually, the subtraction sign means to the right and the addition sign means to the left.
Should be 270 minutes because 1500 is 250 6 times so you do 45 minutes 6 times which ends up as 270
Answer:
13.6 ft
Step-by-step explanation:
The geometric sequence of arc lengths can be described by ...
f(n) = a·b^n
We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):
20 = a·b^3
12 = a·b^7
Then ...
12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5
We want the 6th term, which we can get from the 7th term by multiplying by b^-1.
b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622
Then the 6th swing had an arc length of ...
f(6) = f(7)·b^-1
f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft
