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Lorico [155]
3 years ago
9

A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

frequency= 165Hz

period= \frac{1}{165}

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

f=\frac{330}{2}

= 165Hz

2. To calculate the period use the formula:

since f=\frac{1}{T}

therefore, T=\frac{1}{f}

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

T=\frac{1}{165}

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Examine this system of equations. Which number can be multiplied by each equation so that when the two equations are
andreyandreev [35.5K]

Answer:

15 times the first equation and -12 times the second equation

Step-by-step explanation:

we have

\frac{3}{4}x+\frac{2}{3}y=6 ------> first equation

\frac{5}{8}x+\frac{5}{6}y=12 ------> second equation

Multiply the first equation by 15 both sides

(15)\frac{3}{4}x+(15)\frac{2}{3}y=6(15)

\frac{45}{4}x+10y=90 -----> new first equation

Multiply the second equation by -12 both sides

(-12)\frac{5}{8}x+(-12)\frac{5}{6}y=12(-12)

-\frac{60}{8}x-10y=-144 -----> new second equation

Adds the two new equations

\frac{45}{4}x+10y=90\\-\frac{60}{8}x-10y=-144\\-----------\\\frac{45}{4}x-\frac{60}{8}x=90-144

The y-term was eliminated

5 0
3 years ago
Write the equation of a line that is parallel to y=1/2x−4y and that passes through the point (9,−6)
lara [203]

Answer:

the desired equation is

y = (1/2)x - 21/2

Step-by-step explanation:

Looks as tho' you may have typed in an extra 'y' here.  I will proceed under the assumption that you meant y = (1/2)x - 4.  This line has a slope of 1/2.

Any line parallel to it also has a slope of m = 1/2.

Start by replacing y, x, m and b in y = mx + b with the knowns:

y = mx + b becomes -6 = (1/2)(9) + b.

Clear this of fractions by multiplying all 3 terms by 2:

-12 = 9 + 2b, or:

-21 = 2b.  Dividing both sides by 2 results in b = -21/2.

Thus, the desired equation is

y = (1/2)x - 21/2

8 0
3 years ago
What is the number in standard form? 3.23×10^12
shutvik [7]
Answer:
3, 230, 000, 000, 000
Explanations:
10^12 = 1, 000, 000, 000, 000,
So...
3.23 * 10^12 = 3, 230, 000, 000, 000
8 0
3 years ago
Read 2 more answers
Which of the following equations represents a line that passes through the points
Nonamiya [84]

Answer:

Option A is correct

A. Neither

Step-by-step explanation:

Given:

Two points are given (2, 15) and (0, 5)

Let (x_{1}, y_{1})=(2,15) and (x_{2}, y_{2})=(0,5)

The slope of the line m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

Put all known value in above equation.

m=\frac{5- 15}{0- 2}

m=\frac{-10}{-2}

m=5

So the slope of the line m=5.

The equation of the is

y=mx+b -------------------(1)

Where m is the slope of the line and b is y-intercept of the line.

Take point (0, 5) to compute the value of b.

Put x=0,y=5\ and\ m=5 in equation 1.

y=mx+b

5=5(0)+b

5=0+b

b=5

Take point (2, 15) to compute the value of b.

Put x=2,y=15\ and\ m=5 in equation 1.

y=mx+b

15=5(2)+b

15=10+b

15-10=b

b=5

So the equation of the line is.

y=mx+b

Put m and b value in above equation.

y=5x+5------------(2)

5x-y=-5

add 10 both side in equation 2.

y+10=5x+5+10

y+10=5x+15

y+10=5(x+3)

So the equation of line that passes through the point (2,15) and (0,5) is.

y=5x+5 or 5x-y=-5 or y+10=5(x+3)

Therefore, Neither the following equations represents a line that passes through the points  (2,15) and (0,5).

3 0
3 years ago
A road crew takes 4/7 of an hour to pave seven miles of road. How long will it take the crew to pave one mile of road? Plz help
Galina-37 [17]

7 miles divided by 4/7 hour

copy dot flip

7 miles * 7/4 hour

49/4 miles/ hour


d = rt

1 miles = 49/4 * t

divide each side by 49/4

1 / (49/4) = t

4/49 =t

it takes 4/49 of an hour

4 0
3 years ago
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