A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c
Answers
Answer:
The correct option is
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is or
which gives the correct option as A
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Answers
Answer:
A is the correct option.
Step-by-step explanation:
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Using the distributive property (term by term multiplication), we have
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Combine like terms
A is the correct option.
Answer:
(A)
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and
We have to find the product of and
, therefore we can write as:
which is the required product.
Thus, Option A is correct.
or 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar?
Answers
Answer:
10 lbs.
Step-by-step explanation:
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Answers
3x=42 (take one from each side)
x=14 (divide each side by 3)
the answer is 14
3x + 1 = 43
3x = 43 - 1
3x = 42
x= 42/3
x =14
The value of x that will make it true is 14
If you have any questions.please let me know !
Answers
2x² – 7 = 9
2x² - 7-9 = 0
2x² - 16 = 0
This equation is a binomial
2* (x² - 8) = 0
We choose the simplest method . The equation with practice it can be calculated in the memory
The product is equal to 0 if one of the factors is zero
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8
Answer : x = √8 ∨ x = -√8
By taking -7 to the RHS, you will have
dividing both sides by 2 gives;
Answers
Answers
So he's on $17 / hour
$204 / $17 = 12.
Therefore he'd make $204 in 12 hours.