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2 years ago

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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Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

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2 years ago

Jeanne thinks that x+x is the same as x•x. Is this true? Why? Why not?

NARA [144]

Generally, x • x is accepted to mean "x times x" or "x multiplied by x"

and x+x means "x plus x" or "x added to x"

let's try by subsituting numbers for them
if we can find one case where the statement "x+x is the same as x•x" is false, then it is not true

let's try x=4
x+x=x•x
4+4=4•4
8=16
false

so it is not true
(x+x is equal to 2x, so therefor if we were to solve 2x=x•x, we would get that it is only true for x=2 and x=0)

it is not always true

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3 years ago

Read 2 more answers

Find the missing length of the triangle. *

Amanda [17]

Answer:

50 ft

Step-by-step explanation:

This is the pythagorean theorem, so you should use the formula...

a squared + b squared = c squared

Then substitute in the numbers... (remember, a and b are the legs, and c is the hypotenuse)

14 squared + 48 squared = c squared

14 squared = 14 x 14 = 196

Now we have 196 + 48 squared = c squared

48 squared = 48 x 48 = 2,304

Now we have 196 + 2,304 = c squared

Add them together - 2,304 + 196 = 2,500

Now we have 2,500 = c squared

We find the square root of 2,500 which is 50

You should now have 50 = c

That is your answer. Don't forget to add units.

50 ft is your hypotenuse (c)

I hoped this helped

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3 years ago

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Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-spon

stira [4]

Answer:

Matching the population trend to a contributing factor:

Contributing Factors Population Trends

government-sponsored family control programs Low birth rate

agricultural economies increase in food supply

medical advancements low death rate

Industrial Revolution high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

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2 years ago

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At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .56. a. Find the pr

Sergio [31]

Answer:

a. 0.0000

b. 0.9949

c. 0.0212

d. 1.0000

Step-by-step explanation:

a. This is a binomial probability distribution problem of the form:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}$

#Given n=15, p=0.56, the probability of none will order a non-alcoholic drink:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X=0)={15\choose 0}0.56^0(1-0.56)^{15}\\\\\\=0.0000045$

$\approx 0.0000$

Hence, the probability that none will order a non-alcoholic drink is 0.0000

b. The probability that at least 4 will order a non-alcoholic drink is:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 4)=1-P(X$

Hence, the probability of at least 4 non-alcoholic orders is 0.9949

c. The Probability that fewer than 5 orders will be made is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X$

Hence, the probability of less than 5 orders is 0.0212

d. The probability of all orders being non-alcoholic is equivalent to 1 minus no order being non-alcoholic.

-From a above, the probability of zero non-alcoholic order is , P(X=0)=0000045

-Therefore:

$P(All)=1-P(none)\\\\=1-0.0000045\\\\=0.999996$

$\approx 1.0000$

Hence, the probability that all orders are non-alcoholic 1.0000

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3 years ago