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Vaselesa [24]
2 years ago
9

Lawrence's parents pay him a base allowance of $20 per week and $3.55 per hour for extra chores he completes. Write an equation

that models Lawrence's total weekly income.
Mathematics
1 answer:
natali 33 [55]2 years ago
7 0
The answer would be 20w+3.55h=T
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In some languages, every consonant must be followed by a vowel. How many seven-letter ‟words” can be made from the Hawaiian word
emmasim [6.3K]

Answer:

One. Kamala.

Step-by-step explanation:

7 0
1 year ago
A pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm, and 96 cm but does not resonate at any wave
erma4kov [3.2K]

Answer:

A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:

A. closed at both ends

B. open at one end and closed at one end

C. open at both ends.

D. we cannot tell because we do not know the frequency of the sound.

The right choice is:

B. open at one end and closed at one end .

Step-by-step explanation:

Given:

Length of the pipe, L = 120 cm

Its wavelength \lambda_1 = 480 cm

                         \lambda_2 = 160 cm and \lambda_3 = 96 cm

We have to find whether the pipe is open,closed or open-closed or none.

Note:

  • The fundamental wavelength of a pipe which is open at both ends is 2L.
  • The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.

So,

The fundamental wavelength:

⇒ 4L=4(120)=480\ cm

It seems that the pipe is open at one end and closed at one end.

Now lets check with the subsequent wavelengths.

For one side open and one side closed pipe:

An odd-integer number of quarter wavelength have to fit into the tube of length L.

⇒  \lambda_2=\frac{4L}{3}                                   ⇒  \lambda_3=\frac{4L}{5}

⇒ \lambda_2=\frac{4(120)}{3}                              ⇒  \lambda_3=\frac{4(120)}{5}

⇒ \lambda_2=\frac{480}{3}                                  ⇒  \lambda_3=\frac{480}{5}

⇒ \lambda_2=160\ cm                           ⇒   \lambda_3=96\ cm  

So the pipe is open at one end and closed at one end .

6 0
2 years ago
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

a) 22.94 psi

b) 5.93\times10^{-5}

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}

where x = 22.94, \mu = 31, \sigma = 2

f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}

f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

6 0
2 years ago
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio
Butoxors [25]

Answer:

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

18/5=x/100

Cross product

18*100=5*x

1800=5x

x=1800/5

x=360

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

6 0
2 years ago
Read 2 more answers
A rare first-edition book is currently priced at $200. After one year, the price of the book is anticipated to be 1.15 times the
Ber [7]

Answer is Graph Y, NOT Graph W

4 0
2 years ago
Read 2 more answers
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