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podryga [215]
3 years ago
15

The length of a rectangle is four times its width. The perimeter of the rectangle is at most 130 cm. Which inequality models the

relationship between the width and the perimeter of the rectangle? 2w+2⋅(4w)>130 2w+2⋅(4w)≥130 2w+2⋅(4w)≤130 2w+2⋅(4w)<130
Physics
1 answer:
leva [86]3 years ago
4 0
The answer would be the one where the left side is less than or equal to 130 because 130 has to be the greatest value and the value of the w's cannot exceed 130, but they can equal it
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ololo11 [35]

To develop this problem we require the concepts related to wavelength and its expression to calculate it.

The wavelength is given by

\lambda =\frac{c}{f}

Where,

c=3*10^8 m/s light velocity

f = frequency.

Our values are given by,

f_1=4.38*10^{14}Hz

f_2= 4.14*10^{20}Hz

f_3 = 3.24*10^{12}Hz

Then,

\lambda_1=\frac{3*10^8}{4.38*10^{14}}= 6.8493*10^{-7}m Visible

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5 0
3 years ago
When three people with a total mass of 2.00 x 102 kg step into their 1.200 x 103 kg car, the car’s
Aleksandr-060686 [28]

Answer:

a

 k =  457333.3 N/m

b

x_a  =0.09\ m      

Explanation:

From the question we are told that

    The total mass of  three people is  M  = 2.00*10^{2} \ kg

     The mass of the car is  m_c  =  1.200 *10^{3} \ kg

     The compression of the car spring is  x = 3 \ cm  = 0.03 \ m

     

Generally the spring constant is mathematically represented as

          k =  \frac{F}{x}

Here F is the force exerted by the mass of three people and that of the car , this is mathematically represented as        

=>       F = (M +m_c) *g

=>       F = ([2.0*10^{2} ]+[ 1.200*10^{3}]) * 9.8

=>       F = 13720 \  N

So

        k =  \frac{13720}{0.03}

=>     k =  457333.3 N/m

Generally if the mass which the car is loaded with is  m  =  3.00*10^{2} \ kg

Then the force experienced by the spring is  

         =>       F_a = (m +m_c) *g

         =>       F_a = (3.00*10^{3} + 1.200 *10^{3}) * 9.8

         =>       F_a = 41160 \  N

Generally from the above formula the compression is  

       x_a  = \frac{F_a}{k}

=>    x_a  = \frac{41160}{457333.3}

=>    x_a  =0.09\ m      

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