1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katarina [22]
3 years ago
10

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m ​ 5120, start fraction, start text, m, e

nd text, divided by, start text, s, end text, end fraction. At what rate does the sound wave travel in \dfrac{\text{km}}{\text{h}} h km ​ start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction? \dfrac{\text{km}}{\text{h}} h km ​
Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

18432 km/h

Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour  = 3600 second

5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}

5120\text{ m/s }=18432\text{ km/h}

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

You might be interested in
4,400 is 10 times as much as 440
snow_lady [41]
True. Because if you multiply 440 by 10, the answer is 4,400. So 4,400 is 10 times as much as 440.
To each number multiplied by 10, the answer is the same number with an additional zero to the right.

Hope this Helps! :)
7 0
3 years ago
Complex numbers &amp; DeMoivre's theory<br> If z=-1-√3 i and z^6=a+bi, a=_____ and b=_____
Mice21 [21]

Convert z to exponential/polar/trigonometric form:

r=|z|=\sqrt{(-1)^2+(-\sqrt 3)^2}=2

\tan\theta=\dfrac{-\sqrt3}{-1}\implies\theta=\dfrac{4\pi}3

\implies z=-1-\sqrt3\,i=2e^{4\pi/3\,i}=2\left(\cos\dfrac{4\pi}3+i\sin\dfrac{4\pi}3\right)

By DeMoivre's theorem,

z^6=\left(2e^{4\pi/3\,i}\right)^6=2^6e^{24\pi/3\,i}=64e^{8\pi\,i}

z^6=64\left(\cos8\pi+i\sin8\pi)=64

so that a=64 and b=0.

8 0
3 years ago
A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the
lilavasa [31]

The following is the most appropriate method for investigating the sociologist’s belief is,

A. A one-sample zz-test for a difference in population proportions

Step-by-step explanation:

  • The young adults in a county get their news from online sources are 75 percent.
  • But according to sociologist the percentage is actually greater than 75 percent.
  • The correct answer is A one-sample zz-test for a difference in population proportions.
  • The One proportion Z-test is used to compare proportion which is observed to a theoretical one, only when there are only two categories.
  • A z-test is a statistical test which is used to determine whether there are two population which means there are different when the variances are known and the sample size is relatively large.

7 0
3 years ago
Read 2 more answers
Can someone explain to me taxes?
jeka94

taxes
According to the oxford dictionary, the word taxes defines as a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

explanation
Money is taken from your yearly earnings to pay for services such as the Police, Emergancy Services, Military, Schools, Postal Service ect. It is also used to pay workers who work in a federal agency such as Postal Workers and the FBI. Citizens of the United States are taxed on items that are non-edible, such as a TV, and phones in stores. Tax percentages differ in every state.

Taxes are destributed to states so the states could build roads, schools, police stations and a lot more stuff.

The country can run Social Programs such as Social Security from taxes.
5 0
3 years ago
A quality control engineer is testing the battery life of a new smartphone. The company is advertising that the
DIA [1.3K]

The question requires stating the Null and Alternative hypothesis for the scenario described :

Answer:

H0 : μ = 24

H1 : μ < 24

Step-by-step explanation:

The claim or hypothesis to be tested in a statistical problem or analysis is the alternative hypothesis. This is usually the opposite of the Null hypothesis which is the usually the initial truth until there is significant evidence provided using statistical test to prove otherwise.

The null hypothesis, H0 in the scenario above is :

H0 : μ = 24 ( average battery life is 24 hours)

The alternative hypothesis is the claim, that is. The mean battery life not up to 24 hours ;

H1 : μ < 24

4 0
2 years ago
Other questions:
  • In how many ways can the letters of the word CARPET be arranged
    5·2 answers
  • The population of bees in a certain field is modeled by the function, f(0) = 100000 x 0.85", where a denotes the
    6·1 answer
  • A box 3 centimeter high, 4 centimeters wide, and 6 centimeters long can hold 50 grams of clay. A second box has twice the height
    7·1 answer
  • A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5° with the wall of the house. how tall is th
    7·2 answers
  • For one Algebra test, Mary had to answer 15 questions. Of these questions, Mary answered 20% of them correctly. How many questio
    5·1 answer
  • Simplify :2^9/2^6<br>please help​
    6·1 answer
  • Hey smart people please help me with my math
    10·1 answer
  • PLEASE ANYONE HELP ITS UREGNT
    6·1 answer
  • Please help me with this question
    14·1 answer
  • nine times a number y subtracted from 85 is seven times the sum of four and y . ( i need the equation for this )
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!