Answer:
k = 102
Step-by-step explanation:
Inverse variation is represented as follows:
y = k/x
Find k by substituting 17 for y and 6 for x:
17 = k/6
Multiplying both sides by 6 results in k = 102
I do believe it would be 12 percent, if rounded.
Answer:
<em>C(19)=12 responses</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:
Calculating:
We are required to calculate the number of responses at day t=19, thus:
C(19)=12 responses
The correct answer is: [C]: " 5 " .
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→ " a = 5 " .
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Explanation:
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Given: " a + 1 <span>− 2 = 4 " ; Solve for "a" ;
4 + 2 = 6 ;
6 </span>− 1 = 5 ; → a = 5 ;
To check our work:
5 + 1 − 2 = ? 4 ?? ;
5 + 1 = 6 ;
6 − 2 = 4. Yes!
So the answer is: [C]: " 5 ".
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→ " a = 5 " .
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Answer: 80°
Step-by-Step Explanation:
By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°
Finding the Value of ‘x’ :-
2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20
Finding each Angle :-
2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°
Hence, the Largest Angle is 80°
