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Artyom0805 [142]
2 years ago
5

Helloooo can someone help meeeeeeeee

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
8 0

Answer:

Option B, (48x^{8}y^{5})

Step-by-step explanation:

<u>Step 1:  Simplify the exponent</u>

(12x^{2}y^{3})(2x^{3}y)^{2}

(12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})

(12x^{2}y^{3})(4x^{6}y^{2})

<u>Step 2:  Simply the expression</u>

(12x^{2}y^{3}*4x^{6}y^{2})

(48x^{2+6}y^{3+2})

(48x^{8}y^{5})

Answer: Option B, (48x^{8}y^{5})

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Solve -3/5+1/5&gt;7/20 Drag and drop a number or symbol into each box to show the solution.
Korolek [52]
Not sure what you mean by drag and drop but Im going to attempt this.

-3/5 = -12/20
1/5 = 4/20

That makes no sense. It should be -8/20 < 7/20?


3 0
3 years ago
The graph of which function has a y-intercept of 3 ?
Dmitriy789 [7]
It will be whichever equation you see that has the "c" = +3, in the format:
F(x) = y = ax^2 + bx + c, where a, b, and c are all integers, such that plugging a "0" into the x's will give:
y = a•0^2 + b•0 + 3 = 0 + 0 + 3 = 3
6 0
4 years ago
If ex + e⁻¹= 2, then x =..
harkovskaia [24]

Answer:

\rm x = \dfrac{2e - 1}{ {e}^{2} }

Step-by-step explanation:

\rm Solve \:  for \:  x: \\  \rm \longrightarrow ex +  {e}^{ - 1}  = 2 \\  \\   \rm \longrightarrow e x +  \dfrac{1}{e}  = 2 \\  \\  \rm Subtract \:   \dfrac{1}{e} \:  from \:  both  \: sides: \\   \rm \longrightarrow e x  +  \dfrac{1}{e} -  \dfrac{1}{e}  = 2  -  \dfrac{1}{e}  \\  \\   \rm \longrightarrow ex =  \dfrac{2e}{e} -  \dfrac{1}{e}   \\  \\   \rm \longrightarrow ex =  \dfrac{2e - 1}{e}  \\  \\  \rm Divide \:  both  \: sides  \: by  \: e: \\   \rm \longrightarrow  \dfrac{ex}{e}  =  \dfrac{2e - 1}{e \times e}  \\  \\   \rm \longrightarrow x =  \dfrac{2e - 1}{ {e}^{2} }

6 0
3 years ago
Expansion Numerically Impractical. Show that the computation of an nth-order determinant by expansion involves multiplications,
posledela

Answer:

  • number of multiplies is n!
  • n=10, 3.6 ms
  • n=15, 21.8 min
  • n=20, 77.09 yr
  • n=25, 4.9×10^8 yr

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

  mpy[n] = n·mp[n-1]

  mpy[2] = 2

So, ...

  mpy[n] = n! . . . n ≥ 2

__

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

  10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

  n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

  n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

  n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

8 0
3 years ago
Dishwashers are on sale for 25% off the original price ( d ), which can be expressed with the function p ( d ) = 0.75d. Local ta
Marta_Voda [28]
<span>Price of the dishwashers on sale are represented with the function: p ( d ) = 0.75 d ( 100 % - 25 % = 75 % or 0.75 d ): After that we have additional 14 % on the discounted price ( 100 % + 14 % = 114 % OR 1.14 ): C ( P ) = 1.14 P. Finally, c ( p ( d ) ) = 1.14 * 0.75 d = 0.855 d. Answer: C ) c [ p ( d ) ] = 0.855 d Hope I helped! :) Cheers!</span>
8 0
3 years ago
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