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Tems11 [23]
4 years ago
9

A truck carrying 771.849 pounds of sand travels to a construction yard and loses 489.132 pounds of sand along the way. How much

sand does the truck have when it arrives at the yard?
Mathematics
1 answer:
damaskus [11]4 years ago
4 0
771.849-489.132=282.717 lbs left.
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if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a
Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers  for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6   or x = (9 - √57) / 6      (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

   = ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))  

   = ((9² - (√57)²)/36) (10 ± √57)

   = (24/36) (10 ± √57)

   = 2/3 (10 ± √57)   or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha    

=​ ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))  

    = √57/3 + 2/3

     = (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))  

    = - √57/3 + 2/3

     = - (√57 + 2) / 3

3 0
3 years ago
How many solutions y=x^2-10x+25
MrRissso [65]
<h2>There are infinite solution of y.</h2>

Step-by-step explanation:

Given,

y = x^2 - 10x + 25

To find, the total number of solutions = ?

∴ y = x^2 - 10x + 25

⇒ y = x^2 - 2(x)(5) + 5^2

⇒ y = (x-5)^{2}

There are infinite solution of y.

Thus, there are infinite solution of y.

7 0
3 years ago
I need help solving this
ValentinkaMS [17]
11, 13, and 16. sorry if im wrong, and i hope this helps.
5 0
3 years ago
The Flynn family eats at a restaurant that is having a 5% discount promotion. Their meal costs $62.62, and they leave an 18% tip
mr Goodwill [35]
5% of $62.62= 3.13$
18% of $62.62= 11.28$
so add 11.28 to 62.62- 3.13 and they would pay a total of $48.29
7 0
3 years ago
Your friend Zoe is very earnest about the benefits of her special diet. She believes that having kale for breakfast every day wi
charle [14.2K]
- The best method to test Zoe's claim is an observational study, as with this method it is possible to observe if the claim presents some truth to it. Observational studies are often used in testing claims like Zoe's as they allowed to have a great access to the variable that are behind a claim of that type, and so they are also more accessible.

- The set up I would use is an observational study of a great number of people, over a long period of time, that have to have<span> kale for breakfast every day, with a measurement of their cholesterol over the time. the great number and the long period of study assured that the variable subject of study is statistically represented in an optimal way. </span>
6 0
3 years ago
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