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hi Melody,

yes, it was copied correctly....Thank you for the answer....

As follows:

Thank you Melody....

Thank you Asinus...

Extremely similar....see if you can compute this one......

https://web2.0calc.com/questions/quadratic_76

-2x^2 - 10x - 83

factor out -2

-2 (x^2+5x)      - 83      complete the square for x

-2(x+2.5)²      + 12.5  - 83

-2(x+2.5)² -70.5 

There is only ONE integer, when n=8 that the expression gives a prime number = 19

2x + y = -4/7.

By the Euclidean Algorithm, the greatest common divisor is 12.

The value of a is sqrt(3).

The original surface area is still there obviously....but each new slice (twenty of them )  increases the surface area by the area of two faces

   EXCEPT for the two end faces which only increase the area by ONE face (as the other face was part of the original surface area)

       so originally  each face was 6x6 = 36  cm²          (and the surface area was 6 x 6 x 6  = 216 cm² )

               now add  18 slices with two faces    18 x 2 x 6 x 6    and two slices with one face  2 x 6 x 6

                   for a total increase of   1368 cm²

12 into 6

is    6 ÷ 12     is the same as   6/12    and this =   1/2      or    0.5

12 divide by 6 = 2 so two is the answer.

z = 2/5 x

y = 2/3 x

x + 2/3 x - 2/5 x = 95

(15+10-6)/15  x = 95

19/15 x = 95

x = 95 (15/19) =  75

z = 2/5x      y = 2/3 x

(w + 13)^2 = (3w + 7)(2w + 5)      expand both sides

2^2 + 26w+169   = 6w^2 +29w + 35     now gather like terms all on one side of the eqaution

                                                                   then use quadratic formula to calc  w values

2.36*(1+y)^6 = 6    divide both sdes of the equation by 2.36

(1+y)^6 = 6/2.36     now take the sixth root of both sides ...with calculator  (you could also use LOGs)

1+y = 1.16826            You can take it from here .....

2x(x + 10) = -50    expand to

2x^2 + 20x + 50 = 0     divide by 2 (for simplicity.....you could just use Quadratic Formula here)

x^2 + 10 x + 25 = 0

(x+5)(x+5) = 0                     x = -5    

Thank you!

Have you tried it? How about: 24,  42,  222,  444 = 4 such numbers. Can you think of more than 4?

        54.6^o – (1.2 ^o/1000 ft)(5,000 ft)  =  54.6^o – 6.0^o  =  48.6^o  

I really do not know what you are expected to do here.

Maybe

\(A={{1.15^2* \sqrt{5.4}} \over6.21}\\ lnA=ln1.15^2+ln5.4^{0.5}-ln6.21\\ lnA=2ln1.15+0.5ln5.4-ln6.21\\ lnA\approx -0.7034..\\ A\approx 0.49488\)

Why anyone would bother with that I have no idea.

The exact answer, without logs, is   \(\frac{23\sqrt{15}}{180}\)

LaTex

A={{1.15^2* \sqrt{5.4}} \over6.21}\\
lnA=ln1.15^2+ln5.4^{0.5}-ln6.21\\
lnA=2ln1.15+0.5ln5.4-ln6.21\\
lnA\approx -0.7034..\\
A\approx 0.49488