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kati45 [8]
3 years ago
5

43. Write a power represented with a positive base and a positive exponent

Mathematics
2 answers:
Levart [38]3 years ago
6 0
43. 5^3
44. Vcube =x^3, V=(1/3)^3 =1/27 (if the side of the cube is (1/3)
damaskus [11]3 years ago
6 0

Answer:

#43) 9^(1/2); #44) V = (1/3)^3 = 1/27

Step-by-step explanation:

#43) The only ways to make a power have a smaller value than the base is to use either a negative exponent (which we cannot do in this problem) or an exponent between 0 and 1 (a fraction or a decimal).

Finding a fractional power of a number is the same as taking that root of the number; for example, finding the 1/2 power of a number is the same as taking the square root; finding the 1/3 power of a number is the same as taking the cubed root; etc.

If we use 9 as the base (positive number) and 1/2 as the exponent (again a positive number), we would have 9^(1/2) = √9 = 3.

#44) To find the volume of any prism, find the area of the base and multiply it by the height.

For a cube, the base is a square; the area of a square is given by A = s², where s is the side length of the square.

Since the height of the cube will be the same as the length of the square (all sides are congruent in a cube), this makes the volume V = s²(s) = s³.

Since we know the side length is 1/3, this makes the volume

V = 1/3³ = 1/3(1/3)(1/3) = 1/9(1/3) = 1/27

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Answer:

12

Step-by-step explanation:


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3 years ago
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Solve using the elimination method. <br> show your work <br> 2x - y = 6 <br> x + y = 6
bekas [8.4K]

Answer:

x=4, y=2

Step-by-step explanation:

2x - y = 6  

x + y = 6

Add these together to eliminate y

2x - y = 6  

x + y = 6

-----------------

3x = 12

Divide by 3

3x/3 = 12/3

x=4

But we still need y

x+y =6

4+y =6

Subtract 4 from each side

4+y-4 = 6-4

y=2

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3 years ago
What property is illustrated by 5*6=6*5
lara [203]
The commutative property 
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3 years ago
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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
Correct/best answer will get brainliest!
vodka [1.7K]
The answer would be b.100 because its clearly not a right triangle
6 0
3 years ago
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