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Taya2010 [7]
3 years ago
6

A liquid substance was left at the scene of the crime. Krisann uses a beaker that measures to the nearest tenth of a liter and f

inds that it is
4.9
 liters. If there are five or more liters of the substance, it needs to be sent to the lab for testing. If it is less than five liters, the test can be done immediately. Does Krisann need to send the substance to the lab? Why or why not?
Select the correct response with the best explanation.
A No since the beaker measures to the nearest tenth of a lier, the actual value of the measurement is 4.9 liters.
B yes, since the beaker meaures to the nearest tenth of a liter , the range of the actual value is plus or minus 0.1 liters , which means there could be up to 5 liters of the substance
c. Yes, since the beaker measures to the nearest tenth of a liter, the range of the actual value is plus or minus 0.5 liters, which means there could be up to 5.4 liters of the substance
D No, since the beaker meausures to the nearest tenth of the liter , the range of the actual value is plus or minus 0.05 liters , which means there could be up to only 4.95 liters of the substance.
Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0
4.85 <= x < 4.95 .  does not intersect x > 5.No it does not need to be sent to the lab. B.
<span>yes, since the beaker meaures to the nearest tenth of a liter , the range of the actual value is plus or minus 0.1 liters , which means there could be up to 5 liters of the substance </span>
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A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati
lilavasa [31]

Answer:

<em>The minimum average cost is $2.80 when 163 players are built</em>

Step-by-step explanation:

<u>Average Cost Function</u>

<em>We'll assume the given function as the total cost to produce x players, and NOT the average cost since that is a different definition, as shown below.</em>

The cost C to produce x DVD/Blu- ray players is given by the equation

C=0.03x^2-7x+800

The Average Cost function  is defined as

\displaystyle\bar  C=\frac{C}{x}

\displaystyle\bar  C=\frac{0.03x^2-7x+800}{x}

\displaystyle\bar  C=0.03x-7+\frac{800}{x}

To find the extreme value of the average cost, we must take the first derivative of the function

\displaystyle\bar  C'=0.03-\frac{800}{x^2}

Equating to 0

\displaystyle 0.03-\frac{800}{x^2}=0

Solving for x

\displaystyle x=\sqrt{\frac{800}{0.03}}

x=163

The second derivative is

\displaystyle\bar  C''=\frac{1600}{x^3}

For x=163 the second derivative is positive, thus x=163 is a minimum value. Let's compute the minimum average cost

\displaystyle\bar  C(163)=0.03\cdot 163-7+\frac{800}{163}

\displaystyle\bar  C(163)=2.80

The minimum average cost is $2.80

5 0
3 years ago
3. Now combine any like terms. What is the simplified product?
Lesechka [4]

Answer:

Step-by-step explanation:

(x + 1) (x + 2)

x2 + 2x + x + 2

x2 + 3x + 2

4 0
4 years ago
<img src="https://tex.z-dn.net/?f=%5Cint%5Climitsd%20%5Cfrac%7B1%7D%7Bcos%5E%7B6%7Dx%20%7D%20%5C%2C%20dx" id="TexFormula1" title
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Answer:

Nicole |2/22|19|Don't mess with me|r4rail |Blue|Salad|USA|Cool|Hero|255|20|64|11|3|3|599|0|1|1|3|1|52|19|108|42|0|114|114|2|2|50|50|160|48|112|6|0|113|143|0|0|0|84|0|22|22|18|18|0|0|0|0|55|0|10|10|7|0|0|93|38|0|0|0|17|17|0|255|1|1|0|1|1|1|0|0|1|1|2|8|1|1|2|2|1|1|19|1|1|0|0|27|15|2|0|1|0|18|12|2|1|0|0|0|0|0|1|3|2|20|0|-1|3|2|20|0|0|0|1|1|0|0|0|1|1|0|1|8|18|19|0|-1|9|18|19|0|0|-1|1|3|0|4|-1|1|1|0|14|4|3|2|0|-1|2|1|3|354|2|0|1|20|351|0|0|1|1|0|0|0|1|1|0|0|0|1|1|0|46|6|12|13|12|8|-2|18|17|0|25|35|2|2|28|0|0|0|1|1|0|0|12|17|16|351|1|3|1|13|20|18|0|0|1|1|1|1|0|1|1|0|0|1|1|0|1|1|1|1|1|1|1|1|1|1|1|1|1|1|1|1|1|1|0|0|1|1|0|1|0|0|0|1|1|0|8|3|3|0|0|0|0|0|30|-62|0|-4|0|1|4|1|3|0|18|0|6|0|0|0|0|0|C49067|8A624F|191919|27170F|191919|191919|3A1F17|191919|27170F|020202|191919|191919|020202|191919|00BDB7|3A1F17|0256C9|B15482|FFFFFF|020202|14002C|020202|FFFFFF|14002C|020202|FFFFFF|020202|FFFFFF|020202|01449F|020202|01449F|020202|020202|191919|020202|D4AE91|562D25|FFF0E7|C49067|020202|FF93BC|FFFFFF|020202|8AAEFF|FF8383|FFFFFF|BB9178|8C664F|FF8383|020202|FFFFFF|540000|020202|4D0119|DEECFF|020202|3A82FF|EBE0FF|020202|8AAEFF|0256C9|020202|8AAEFF|E0E1FF|020202|8ACEFF|020202|020202|FFFFFF|1003C2|020202|4638FF|FFFFFF|020025|00566B|FFFFFF|020025|00566B|020202|020202|8589FF|020202|020202|8589FF|8589FF|020202|3D3E62|8589FF|020202|3D3E62|8AAEFF|020025|3FC4FF|3A82FF|020025|8C3FFF|020202|020202|FFFFFF|020202|020202|FFFFFF|1604FC|020202|A487FF|1604FC|020202|A487FF|4638FF|020202|3A82FF|4638FF|020202|3A82FF|08016D|007591|0C0295|FFFFFF|14002C|FFFFFF|191919|020025|1003C2|3A027E|0093B6|1604FC|0C0295|0093B6|1604FC|FF3F3F|020202|FFC2C2|FFFAB6|020202|FFFFFF|9F0000|020202|FFFFFF|FF3F3F|020202|191919|FFFFFF|00232C|FFFFFF|FFFFFF|FFFFFF|FFFFFF|01449F|00132C|0256C9|6605D9|00132C|0256C9|00132C|020202|020202|FFFFFF|020202|FFFFFF|020202|020202|020202|020202|020202|020202

Step-by-step explanation:

B

6 0
3 years ago
Can someone answer? Please I tried everything I don’t know how to do this.
dedylja [7]

Step-by-step explanation:

  • -7.2(x-15.6)= -9
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  • -7.2x= -9-112.32
  • -7.2x= -121.32
  • x= -121.32/ -7.2
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<h2>hope it helps.</h2><h2>stay safe healthy and happy.</h2>
4 0
3 years ago
A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit
Dmitriy789 [7]

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

4 0
3 years ago
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