Step-by-step explanation:
Let the number be x,
then the expression will be
9x³
To solve this determine when C=S where C is cost and S is sales.
Cost = 37720+11.5x where x is the number of books.
Sales = 19.50x.
37720+11.5x=19.5x
37720=8x
4840=x
The frequency at which the filter will be resonant is 1. 59 × 10^6 Hz
<h3>How to determine the frequency</h3>
The resonant frequency of the series RLC circuit is given as;
Frequency = 1/2π√(LC)
It means that the current will peak at the resonant frequency for both inductor and capacitor.
Substitute the values
Frequency = 1/2 × 3. 142 √ (50 × 10^-3 × 2 × 10^ -6)
Frequency = 1/2 × 3. 142 × 1 × 10 ^-7
Frequency = 1/ 6. 284 × 10^-7
Frequency = 1. 59 × 10^6 Hz
Thus, the frequency at which the filter will be resonant is 1. 59 × 10^6 Hz
Learn more about frequency here:
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Length = 6.25 feet
Your dad is designing a new garden for your
backyard. He has 20 feet of fencing to go
around the garden.
Let the width is X.
Length is 2 1/2 feet longer than the width i.e. (×+2 1/2) = (×+2.5) feet Perimeter = 20 feet
2(1+b) = 20
(I+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
I believe the answer to your question is the first choice.
Since we have two sides that are 24 mm that means that the equation needs to have 2(24 mm).
And since we have 4 sides that are 18 mm, it means that the equation needs to have 4(18 mm).
so we get: P= 4(18 mm) + 2(24 mm)
Hope this helped and plz mark as brainliest!