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3 years ago

6

Enrico is filling his pool. The pool has 3,000 gallons of water now. The water hose used by Enrico puts 500 gallons per hour in

the pool. Write an equation for the amount of gallons and water in the pool after x hours. Identify the slope and the intersection in y.

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

6

Step-by-step explanation:

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If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last n

bearhunter [10]

Let $x$ be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is $x+4039,$ so our answer is $\boxed{4039}.$

For completeness, though, let's solve for the value of $x$ that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term $a_1,$ last term $a_n,$ and $n$ terms, is $\frac{n(a_1+a_n)}{2}.$ Plugging in our known values gives us the equation $\frac{4040(2x+4039)}{2}=2020,$ which simplifies to $2x+4039=1.$ Thus, $x=-2019,$ so the 4040 consecutive integers are $-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.$ Notice how everything except the $2020$ cancels out!

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3 years ago

The probability that a lab specimen contains high levels of contamination is 0.15. A group of 4 independent samples are checked.

Lady bird [3.3K]

Answer:

0.5220

Step-by-step explanation:

Since the probability of contamination is 0.15, the probability of no contamination is 1 - 0.15 = 0.85

The probability that they are all contaminated will be 0.85 * 0.85 0.85 * 0.85 = 0.52200625

This is 0.5220 to four decimal

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3 years ago

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kap26 [50]

The circumference of a DVD disc is 28.26 cm

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2 years ago

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Archy [21]

It's going to be 2.4 * 10 to the power of 6.

Hope this helped =)

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gavmur [86]

Answer:

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the answer is C

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