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matrenka [14]
3 years ago
6

What is 1,000 raised to the power of 5?

Mathematics
1 answer:
yan [13]3 years ago
4 0
1,000 ^5 =
1 x 10^15 =
1,000 x 1,000 x 1,000 x 1,000 x 1,000 =
1,000,000,000,000,000  ( one followed by 15 zeros )
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If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
seraphim [82]

Answer:

  • a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

  • a = 4/3 and b = 0

4 0
2 years ago
How do i find the square root of pi
SpyIntel [72]

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

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3 years ago
Which mathematical symbol would best fill in the blank to compare the two real numbers?√7_14/5
miss Akunina [59]

Answer:

√7 is less than 14/5

Step-by-step explanation:

√7 equals about 2.6

14/5 equals 2.8

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3 years ago
The lengths of the sides of a triangle or an extended ratio 7 8 and 9 the perimeter of the triangle is 48 cm what are the length
julsineya [31]

Answer:

14cm, 16 cm, 18 cm

Step-by-step explanation:

Note that

= a:b: c = 7:8:9

We have to find the sum of the proportion

Sum of proportion = 7 + 8 + 9

= 24

Length of side a

7/24 × 48 = 14 cm

Length of side b

8 /24 × 48 = 16cm

Length of side a

9/24 × 48 = 18 cm

What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

14cm, 16 cm, 18 cm

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2 years ago
What is the simplified form of (5x^3 + 2)(5x^3 -2)
lapo4ka [179]

Simplify the expression.

25x6−4

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