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zloy xaker [14]
3 years ago
11

Question 1&2 with explanation. Pls fast , no useless and nonsense answers pls

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer: #1 - A. 210m, #2 - B. 21,39

  1. First, find the width by using the equation 2450 = 2x * x. Multiply the like terms, which results in 2450 = 2x^2. Now, divide both sides by 2, which is 1225 = x^2. The square root of 1225 is 35. Now, to find the perimeter, the equation should be P = 2(70+35). 40 + 35 = 105, and 105*2 = 210. Therefore, the perimeter is A. 210 m
  2. Number 2 is asking what number added by x would result in a perfect square. The first numbers in each of the options for the question so see which one creates a perfect square after it is added to 1500.
  • √ 1500 + 56 = 2 √ 389
  • √ 1500 + 21 =  39
  • √ 1500 + 38 = √ 1538
  • √ 1500 + 39 = 9 √ 19    
  • B. 21, 39 would be the correct answer because it is the only perfect square.
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Un granjero tiene 100 vacas que pesan 125 kg cada una. El costo diario de mantenimiento de una vaca asciende a $ 5.00. Las vacas
solniwko [45]

Answer:

25 days

Step-by-step explanation:

Assuming that the farmer waits for n days to get get the maximum profit.

Given that the total number of cows the farmer has, = 100

Currect weight of one cow = 125 kg.

Weight gain rate for one cow = 3 kg/day

So, weight gained by one cow in n days = 3n kg

Therefore, the weight of one cow after n days = 125 + 3n \;\;kg \cdots(i)

Cost for keeping one cow = $5/day.

Cost for keeping one cow for n days = $ 5n

So, Cost for keeping 100 cows for n days = \$ 5n \times 100 =\$500n \cdots(ii)

Current market price = 25 pesos / kg = 125 cents / kg [ as 1 peso = 5 cents]

The falling rate of market price = 1 cent /day.

Fall in price in n days = 1\times n = n cents.

So, market price after n days = 125-n cent/kg\cdots(iii)

By using equations (i) and (iii),

The selling price of one cow after n days = (125+3n) \times (125-n) cents.

So, the selling price of 100 cows after n days = (125+3n) \times (125-n)\times 100 cents.

As 1 $ = 100 cents. so

The selling price of 100 cows after n days =\$ 5(125+3n) (125-n)\cdots(iv).

Now, from equations (ii) and (iv)

Net profit, P = 5(125+3n) (125-n) - 500n\cdots(v)

To get the maximum profit, differentiate the profit function in equation (v) with respect to n and equate it to zero to get the value of n, i.e

\frac {dP}{dn}=0 \\\\\Rightarrow \frac {d}{dn}(5(125+3n) (125-n) - 500n)=0 \\\\\Rightarrow  5[ (125+3n)(-1)+(125-n)(3)]-500=0 \\\\\Rightarrow 5[ -125-3n+375-3n]-500 =0 \\\\\Rightarrow 5[ -125-3n+375-3n]=500\\\\\Rightarrow 250-6n=500/5=100 \\\\\Rightarrow 6n = 250-100=150 \\\\\Rightarrow n= 150/6 = 25.

Hence, the farmer has to wait for 25 days to get the maximum profit.

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Answer:

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Step-by-step explanation:

Use the mean formula: mean = sum of elements / number of elements

Plug in the mean and number of elements, then solve for the sum of the numbers:

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So, the sum of the numbers is 95.

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