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valentina_108 [34]
2 years ago
8

The temperature dropped 20 degrees from noon to midnight. The temperature at midnight was 24°F. Write and solve an equation to f

ind the temperature at noon?
Mathematics
1 answer:
dezoksy [38]2 years ago
6 0
X - 20 = 24

Add 20 to both sides

x = 24 + 20 = 44
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(6m^3 -16m^2 + 15m - 40) / (2m^2 + 5)
Helen [10]
        6m3 - 16m2 + 15m - 40<span> Simplify ————————————————————— 2m2 + 5 </span>Checking for a perfect cube :

<span> 4.1 </span>  <span> 6m3 - 16m2 + 15m - 40</span>  is not a perfect cube 

Trying to factor by pulling out :

<span> 4.2 </span>     Factoring: <span> 6m3 - 16m2 + 15m - 40</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  15m - 40 
Group 2: <span> -16m2 + 6m3</span> 

Pull out from each group separately :

Group 1:   (3m - 8) • (5)
Group 2: <span>  (3m - 8) • (2m2)</span>
               -------------------
Add up the two groups :
              <span> (3m - 8)  • </span><span> (2m2 + 5)</span> 
<span>Which is the desired factorization</span>

<span>3m-8 is the answer</span>

4 0
2 years ago
The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m
photoshop1234 [79]

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures =  0.025 per hour.

Then  for 8 hours , the mean of failures = \lambda=8\times0.25=2 per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that the instrument does not fail in an 8-hour shift :-

P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

7 0
3 years ago
The area of a rectangular wall of a barn is 48 square feet. Its length is 4 feet longer than twice its width. Find the length an
Aleks [24]
Answer
Length: 12 feet Width:4
Explanation
To get the area of a rectangle you times the length by the width
It says the length of the wall is 4 feet longer than TWICE it’s width since 12 times 4 is 48 and 12 is twice the amount of 4 plus 4 feet it fits the requirements of this question
3 0
2 years ago
From the information in the graph, which team showed the least amount of improvement over last year?
Ksenya-84 [330]

Answer:

The rangers

Step-by-step explanation:

Their number of wins didn't go up. In fact their wins decreased the most.

5 0
3 years ago
Read 2 more answers
How do you do 44.70 divided by 15 long division
-BARSIC- [3]

Since the divisor is 2 digits, start by looking at the first 2 digits of the dividend. Those are 44, so you're dividing 44 by 15 at the first step. The quotient digit is the largest integer that gives a value less than or equal to the dividend (44) when multiplied by the divisor (15). For the first step, that digit is 2.

To find the new divisor, subtract the product of the divisor and the quotient digit (2·15=30) and bring down the next digit of the original dividend. Now, you have a dividend of 147 and a divisor of 15. Repeat the process as above.

The decimal point location in the answer can be found a number of ways. The simpliest is to put it above the decimal point in the dividend. (When the divisor is not an integer, multiply or divide both divisor and dividend by the same power of 10 until it is.)

5 0
3 years ago
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