First we need to find the common ratio by dividing the second term by the first term. 36/120 = 3/10
an = a1 * r^(n-1)
n = term to find = 5
a1 = first term = 120
r = common ratio = 3/10
now we sub and solve
a5 = 120 * 3/10^(5 - 1)
a5 = 120 * 3/10^4
a5 = 120 * .0081
a5 = 0.972 <=== fifth term
or we could have just done this......since we multiply by 3/10 to find the next number...
a3 = 10.8......10.8 * 3/10 = 3.24 <== 4th term
3.24 * 3/10 = 0.972 <== fifth term
The equation that is given in this item can be mathematically expressed as,
f(x) = (x/7)^(1/3) - 9
The expression f(x) can be replaced with y such that the equation can also be written as,
y = (x/7)^(1/3) - 9
The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
x = (y/7)^(1/3) - 9
Then, solve for the value of y in terms of x.
Transpose the constant to the other side of the equation.
x + 9 = (y/7)^(1/3)
Raise the whole equation by 3 in order to eliminate the radical.
(x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
(x+9)³(7) = y
Thus, the inverse of the function is equal to
<em> f⁻¹(x) = 7(x+9)³
</em><em />The answer is letter B.<em>
</em>
The first step is to turn the 3 1/5 into an improper fraction, and then change it so that the denominator is 10, just like the 4/10, I'm order to make it easier to divide. then you divide 32 by 4 to get 8.
Based on the fact that he added three correct questions, Levi is wrong in assuming that the ratio of correct answers to total answers remained the same.
<h3>Why is Levi wrong?</h3><h3 />
When the total number of variables being compared in a ratio changes, the ratio itself will change.
This means that Levi is wrong in assuming that the ratio of correct answers to total questions will remain the same after he added 3 questions to both measures.
The first ratio of correct answers to questions was:
8 : 10
4 : 5
After three correct answers are added, it becomes:
11 : 13
This is not the same as the first ratio of 4 : 5.
Find out more on ratios at brainly.com/question/17429159
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Answer:
9809.223
Step-by-step explanation:
8700 * 1.1274968
9809.223
