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dedylja [7]
3 years ago
6

Let $x_1,$ $x_2,$ $x_3,$ $x_4,$ $x_5$ be distinct positive integers such that $x_1 + x_2 + x_3 + x_4 + x_5 = 100.$ Compute the m

aximum value of the expression \begin{align*} &\frac{(x_2 x_5 + 1)(x_3 x_5 + 1)(x_4 x_5 + 1)}{(x_2 - x_1)(x_3 - x_1)(x_4 - x_1)} + \frac{(x_1 x_5 + 1)(x_3 x_5 + 1)(x_4 x_5 + 1)}{(x_1 - x_2)(x_3 - x_2)(x_4 - x_2)} \\ &\quad + \frac{(x_1 x_5 + 1)(x_2 x_5 + 1)(x_4 x_5 + 1)}{(x_1 - x_3)(x_2 - x_3)(x_4 - x_3)} + \frac{(x_1 x_5 + 1)(x_2 x_5 + 1)(x_3 x_5 + 1)}{(x_1 - x_4)(x_2 - x_4)(x_3 - x_4)}. \end{align*}
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0

Answer:I have no idea

Step-by-step explanation:

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Joan’s uncle has promised her $20,000 when she graduates college 4 years from now. What is the equivalent amount stated in today
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Answer:

2:10

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3 years ago
The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to
Solnce55 [7]

Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of C=\frac{5}{9} (F-32)

So the compound inequality in Fahrenheit temperature will be

-40 < \frac{5}{9} (F-32) < 125

7 0
3 years ago
Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have
sasho [114]

Answer:

0.3 or 30%

Step-by-step explanation:

Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :

P = 0.5*0.6 = 0.3

The probability is 0.3 or 30%.

7 0
4 years ago
Can someone please help me answer this my grade depends on it!
ch4aika [34]
Can someone please help me answer this my grade depends on it!

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4 years ago
Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that
mojhsa [17]

6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.

Let's suppose x hours Zoey can expect from the tablet on a full battery charge.

The value of x can be calculated using:

x = (2×100)/33

x = 200/33

x = 6.06 ≈ 6 hours

Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

7 0
2 years ago
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