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Alenkasestr [34]
3 years ago
15

Solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to 3 by 4 + 2 by 243 raise to 1 by 5​

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

214....

Step-by-step explanation:

If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5​

The given expression can be written as:

4/(216)-2/3+1/(256)-3/4+2/(243)-1/5

This expression has three terms.

Notice that the exponents are negative:

We will change the division into multiplication so that the exponents will become positive;

4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5

If we multiply 6 three times it will give us 6^3=6*6*6=216

If we multiply 4 four  times it will give us 4^4=4*4*4*4=256

If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243

So we will write it as:

=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5

=4(6)^2+(4)^3+2(3)

=4*36+64+6

=144+64+6

=214

The answer is 214....

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1.Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric?
Free_Kalibri [48]

Hi Timothy,

1.Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric?

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How could you use a number cube to simulate a baby being born male or female?
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Read 2 more answers
Triangle FGH is translated using the rule (x,y) > (x+3,y-1). What are the coordinates of H ?
Masteriza [31]

Answer: H'(4,-3)

Step-by-step explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

 A Translation is defined as a transformation in which the figure is moved a  fixed distance in a fixed direction. In this kind of transformatiosn the size and shape do not change and the figure is not flipped.

In this case you know that the Pre-Image is the Triangle FGH.

You can identify in the picture that its vertex H has these coordinates:

H(1,-2)

Where:

x=1\\y=-2

Since the rule is:

(x,y) → (x+3,y-1)

You can substitute the coordinates of H into the given rule in order to find the coordinates of H'. This is:

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7 0
3 years ago
Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef fo
yulyashka [42]

Answer:

The system of equations that models the problem is:

\left \{ {{2*H+3*C=4.95} \atop {3*H+2*C=5.45}} \right.

Step-by-step explanation:

A system of equations is a set of two or more equations with several unknowns in which we want to find a common solution. So, a system of linear equations is a set of (linear) equations that have more than one unknown that appear in several of the equations. The equations relate these variables or unknowns to each other.

In this case, the unknown variables are:

  • H: price of a can of corn beef hash
  • C: price of a can of creamed chipped beef

Knowing the unit price of a product, the price of a certain quantity of that product is calculated by multiplying that quantity by the unit price. So the price for 2 cans of ground beef hash can be calculated as 2 * H and the price for 3 cans of ground beef with cream can be calculated as 3 * C. Jan paid $ 4.95 for those amounts from both cans. This means that the sum of the can prices must be $ 4.95. So: <u><em>2*H + 3*C= 4.95 Equation (A)</em></u>

Thinking similarly, if Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45, Wayne's buy can be expressed by the equation:

<u><em>3*H + 2*C= 5.45 Equation (B)</em></u>

Finally, <u><em>the system of equations that models the problem is:</em></u>

<u><em></em></u>\left \{ {{2*H+3*C=4.95} \atop {3*H+2*C=5.45}} \right.<u><em></em></u>

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