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Ann [662]
4 years ago
9

Two patterns start at 0. The rule in Add 3. The rule for the other pattern is Add five. Examine the number in each pattern. Expl

ain how the numbers in each pattern are similarly
Mathematics
1 answer:
const2013 [10]4 years ago
7 0
These 2 patterns are somewhat similar. This is because Add 3 about 5 times and you would get 15. And in for add five about 3 times and you would get 15. The same answer for both of the patterns. 
Hope it helps!
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Answer:

❘-12 - 54❘  

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Jan Quint earn 11.00 an hour at her job and is entitled to time and a half for overtime and double time on holidays last week sh
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Looks like you didn't finish because there is no question.  I'll break that problem down for you and hopefully the missing question will be answered. :) 

$11 x 40h = $440
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L 11.4.2 Test (CST): Summarizing Data Question 2 of 11 Four classmates collect data by conducting a poll. They ask students chos
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3 years ago
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co
Blizzard [7]

Answer:

(a) C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

    p(x)=320-7.7p

    R(x)=(320-7.7p)p=320p-7.7p^2

(b) x=82 \text{planes}

(c) p=\$30.91 M\;\; \text{per plane}

(d) maximum profit =\$ 15.90M

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

m(x)=20x-5x^{\frac{3}{4}}+0.01x^2

(a)  Find the cost, demand (or price), and revenue functions.

   C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

   p(x)=320-7.7p

   R(x)=(320-7.7p)p=320p-7.7p^2

(b)  Find the production level that maximizes profit.

    f=R(x)-C(x)

 \Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)

\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx

     x=320-7.7p

     p=\frac{320-x}{7.7}

    \frac{dp}{dx} = \frac{-1}{7.7}

\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0

    \Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0

   \Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0

   \Rightarrow x=82 \text{planes}

(c)  Find the associated selling price of the aircraft that maximizes profit.

  p=\frac{320-82}{7.7}

\Rightarrow p=\$30.91 M\;\; \text{per plane}

(d)  Find the maximum profit.

Manufacturing cost of one plane is:

m(1)=20-5+0.01

         =\$15.01 M

maximum profit =\$(30.91-15.01)M

                           =\$15.90M

3 0
3 years ago
The formula for the perimeter of a rectangle is P = 2l + 2w. The length of a rectangle is 3 times its width. Which expression re
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The third one would be the answer.
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