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Lorico [155]
2 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]2 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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Letf(x)=(x+2)2.
Troyanec [42]

Answer: it is stretched vertically by a factor of 3

Step-by-step explanation:i make a unit test and get 100% that is correct.

I hope This help;)

7 0
2 years ago
Read 2 more answers
$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent
photoshop1234 [79]

\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
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A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}

A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68

So the amount after 21 years is: $66328.68

7 0
3 years ago
The length of the rectangle is 5/6 of inches and the width of the rectangle is 2/15 of inches. What is the area of the rectangle
Inga [223]

Answer:

W = X in.

L = (3x - 6) in.

A = L*W = (3x-6)X = 45,

3x^2 - 6x = 45

3x(x-2) = 45,

x(x-2) = 15,

x^2 - 2x - 15 = 0

(x-5)(x+3) = 0,

x-5 = 0,

x = 5 in.

x+3 = 0,

x = -3.

Solution Set: x = 5, and x = -3.

Select + value of X:

x = 5

W = x = 5 in.

L = 3x-6 = 3*5 - 6 = 9 in.

Step-by-step explanation:

4 0
2 years ago
A jar of natural peanut butter normally cost $4.00. Today its on sale for $3.60. What is the percentage of the discount
mafiozo [28]

Answer:

Ambitious

Answer

Find out the what is the percentage of this discount .

To prove

Formula

Discount = Marked price - selling price

As given

a jar of natural peanut butter normally costs $4.00 .

it's on sale for $3.60 .

thus

Marked price = $4.00

selling price = $3.60

put in the above formula

Discount = 4.00 - 3.60

              = 0.4

Formula

put the value

Discount percentage = 10%

Option (a) is correct .

Hence proved

8 0
3 years ago
???????????????????????????????????????????
shusha [124]
For question 1, just plug in -2 as <em>h.

</em>-2(-2)^2-(-2)+2
<em>
</em>You would get...

h(-2)=-4
<em>
</em>Hope this helped! <em>-4, or option 1, is correct!</em><em>
</em>
4 0
3 years ago
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