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dusya [7]
2 years ago
11

14 Orange-U-happy is an orange-scenteldeaning produthal is manu- factured in disposable doth pads. Each box of 100 pads sonts $5

to man. ufacture. The fixed costs for Orange-1-Hapoy a $30,000. The research development group of the company has determined the demand func- tion to her = 5000 - 20.060, where p is the price for each box a. Write the expense cuation in terms of the demand, b. Expres the expense function in terms of the price 9 c. Write the revenue function in terms of price. p.​
Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

Answer:

Consider the following statements, Each box of 100 pads of an orange-u happy costs$5 to manufacturer. The variable costs for manufacturing q boxes at 100 pads will be V=5.4

Step-by-step explanation:

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Function 1: y = 4x + 5
rosijanka [135]

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

\text{Slope}= \frac{10-6}{3-1}

⇒\text{Slope}= \frac{4}{2}

Simplify:

⇒\text{Slope}=2

⇒\text{Slope}= \frac{4}{2}

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

3 0
3 years ago
Read 2 more answers
If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal
lorasvet [3.4K]

Answer:

a

   The  percentage is

            P(x_1 <  X <  x_2 ) =   51.1 \%

b

   The probability is  P(Z >  2.5 ) =  0.0062097

Step-by-step explanation:

From the question we are told that

        The  population mean is  \mu =  800

        The  variance is  var(x) =  1600 \ kg

        The  range consider is  x_1 =  778 \ kg  \  x_2 =  834 \ kg

         The  value consider in second question is  x =  900 \ kg

Generally the standard deviation is mathematically represented as

        \sigma =  \sqrt{var (x)}

substituting value

        \sigma =  \sqrt{1600}

       \sigma = 40

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       P(x_1 <  X <  x_2 ) =  P( \frac{x_1 -  \mu }{\sigma} <  \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma }   )

    Generally  \frac{X - \mu }{ \sigma } = Z (standardized \  value  \  of  \  X)

So

      P(x_1 <  X <  x_2 ) =  P( \frac{778 -  800 }{40} < Z< \frac{834 - 800 }{40 }   )

      P(x_1 <  X <  x_2 ) =  P(z_2 < 0.85) -  P(z_1 <  -0.55)

From the z-table  the value for  P(z_1 <  0.85) =  0.80234

                                            and P(z_1 <  -0.55) =   0.29116  

So

             P(x_1 <  X <  x_2 ) =   0.80234 - 0.29116

             P(x_1 <  X <  x_2 ) =   0.51118

The  percentage is

            P(x_1 <  X <  x_2 ) =   51.1 \%

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

             P(X > x ) =  P(\frac{X - \mu }{\sigma }  > \frac{x - \mu }{\sigma } )

substituting values

             P(X > x ) =  P( \frac{X - \mu }{\sigma }  >\frac{900 - 800 }{40 }   )

             P(X > x ) =  P(Z >2.5   )

From the z-table  the value for  P(Z >  2.5 ) =  0.0062097

 

7 0
3 years ago
Which value of HNK are used to write the function f(x) = x2 + 12x + 6 in vertex form?
anygoal [31]

Answer:

( − 6 , − 30 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h , k ) .

6 0
3 years ago
A line's y-intercept is -3.7 and it's slope is
liberstina [14]
Y= 8.4x-3.7 i think
8 0
2 years ago
10. On one night, a group of 9 rats carried away 45 kg of food. What is the reduced ratio of rats to food weight
GenaCL600 [577]

Answer:

Number of rats : Food weight = 1 : 5

Step-by-step explanation:

Number of rats in the group = 9

Weight of food carried away by them = 45 kg

Ratio of the number of rats and food weight = \frac{\text{Number of rats}}{\text{Weight of food carried by the rats}}

                                                                          = \frac{9}{45}

                                                                          = \frac{1\times 9}{5\times 9}

                                                                          = \frac{1}{5}

Therefore, Number of rats : Food weight = 1 : 5

4 0
3 years ago
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