The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.
The geometric sequence 81, 27, 9, 3, … has common ratio:
r = 27/81 = 1/3
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
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Answer:
The probability is 435/6,806
Step-by-step explanation:
Firstly, the total number of coins in the jar is
13 + 15 + 29 + 26 = 83
The probability of selecting a dime is 15/83
Now we want to grab a nickel
Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82
So the probability of selecting a nickel this time is
29/82
So the total probability of the event in the described order is;
15/83 * 29/82
= 435/6,806
<span>The answer is 60.
Explanation<span>:
In mathematics, the word "of" indicates multiply. This means we would multiply 2/3 * 90.
We can write 90 as a fraction by putting it over 1, which gives us 2/3(90/1).
To multiply fractions, we multiply straight across: (2*90)/(3*1) = 180/3 = 60.</span></span>
Answer:
The new ramp must be 54 inches long than the old ramp to meet the requirement of the new law
Step-by-step explanation:
Old height to length ratio is:
h : l = 2 : 15.
Height of old ramp h = 12
Length of old ramp can be find out by putting h = 12 in the above ratio
Length of old ramp = 90
Height to length ratio by current law:
h : l = 1 : 12
Height will be the same i.e. h = 12
Length of new ramp = 144
How much longer the new ramp should be to meet the new ratio law:
New length - Old length = 144 - 90 = 54 inches
