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xz_007 [3.2K]
3 years ago
14

A guitar string vibrates back and forth 88 times in 1 minute. Round your answers to the following questions to the nearest tenth

.
What is its frequency in hertz?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0
<h2>Answer:</h2><h2>The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz</h2>

Step-by-step explanation:

A hertz is used to measure one cycle (complete wave) of a vibration.

The number of cycles per second is the frequency, measured in hertz.

A guitar string vibrates back and forth 88 times in 1 minute

The vibrations in 1 second = \frac{88}{60} = 1.466 Hz ≈1.5 Hz

The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz

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Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.
Yuki888 [10]

For this case we must simplify the following expression:

\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}

Simplifying the numerator, dividing all the terms by 4, we have:

x ^ 2-8x + 12

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

-6-2 = -8\\-6 * -2 = 12

So, we have to:

x ^ 2-8x + 12 = (x-6) (x-2)

Simplifying the denominator:

We rewrite -17x as -18x + x:

3x ^ 2-18x + x-6

We factor the highest common denominator of each group:

3x (x-6) +1 (x-6)

We factor the polynomial by factoring the highest common denominator (x-6):

(x-6) (3x + 1)

So, we have to:

3x ^ 2-17x-6 = (x-6) (3x + 1)

Substituting in the original expression we have:

\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}

ANswer:

\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}

4 0
3 years ago
Please help? Thank you!
Zarrin [17]
The statements that are true are A, B, and D
7 0
4 years ago
2 factors of 64 add up to 12 what are they
NikAS [45]

Two factors of 64 that add up to 12 are 8 and 4.

8 x 8 is 64 so its a factor of 64

16 x 4 is 64 so its a factor of 64

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5 0
4 years ago
Read 2 more answers
100 POINTS!!Help me organize this!!!
vova2212 [387]

Step-by-step explanation:

  • 7x + 3x - 18 = 6(x + 3) === Given
  • 10x - 18 = 6(x + 3) === Combine Like Terms === 7x + 3
  • 10x - 18 = 6x + 18 ===  Distributive Property === 6(x + 3)
  • 10x - 18 - 6x = 18 === Subtraction Property of Equality === -6x both sides
  • 4x - 18 = 18 === Combine Like Terms === 10x - 6x
  • 4x = 18 + 18 === Addition Property of Equality === +18 both sides
  • 4x = 36 === Combine Like terms === 18 + 18
  • x = 36 / 4 === Division Property of Equality === /4 both sides
  • x = 9 === combine like terms??

That doesn't use the multiplication property but that's all of the rest of them.

4 0
3 years ago
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