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PIT_PIT [208]
3 years ago
9

12. 6 + x2 when x = 1/2

Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

13.6

Step-by-step explanation:

12.6 + [1/2]2 = 13.6

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(−5)3x7(yz)4 / (3)2x2y8z2
g100num [7]

Answer:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

Step-by-step explanation:

Given:

The expression to simplify is given as:

\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}

In order to simplify this, we have to use the law of indices.

1. (ab)^m=a^mb^m

So, (yz)^4=y^4z^4

Substitute this value in the above expression. This gives,

=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)

Now, we use another law of indices.

2. \frac{a^m}{a^n}=a^{m-n}

So,  \frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2

Substitute these values in the above expression. This gives,

=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}

Finally, we further simplify it using the law a^{-m}=\frac{1}{a^m}

So, y^{-4}=\frac{1}{y^4}

Therefore, the given expression is simplified as:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

5 0
3 years ago
What is the difference if you deduct 50.78 to 99.75
laila [671]

Answer: 48.97

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3 cm 7 cm 4 cm 8 cm area​
ryzh [129]

Answer:

672 square inches

with area, multiply the side(s) by themselves for a single number, or their following numbers for more than 2 numbers.

Example

  • 18in x 18in = 324 square inches
  • 4in x 2in x 5in x 9in = 360 square inches

hope this helps!

4 0
2 years ago
A. What is the volume, in cubic feet, of the box in the diagram?
Allisa [31]

Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

5 0
2 years ago
What is 5/18 + 7/12?
Flauer [41]
5/18+7/12

=10/36+21/36

=31/36
8 0
3 years ago
Read 2 more answers
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