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Leni [432]
3 years ago
8

Rationalize the denominator: Please give step by step solution

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i

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one tank is filling at a rate of 3/4 per gallon per 2/3 minute .a second tank is at a 5/8 gallon per 1 half gallon per 1/2 minut
Bingel [31]
recall\ that\implies \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus
\\ \quad \\

\cfrac{\frac{3g}{4}}{\frac{2m}{3}}\implies \cfrac{3g}{4}\cdot \cfrac{3}{2m}\implies \cfrac{\square ?}{\square ?}
\\-------------\\
\cfrac{\frac{5g}{8}}{\frac{1m}{2}}\implies \cfrac{5g}{8}\cdot \cfrac{2}{1m}\implies \cfrac{\square ?}{\square ?}

so... you tells us, which filling rate is the bigger and thus faster one?

6 0
3 years ago
90 divided by 12 is equal to ?
Gelneren [198K]
90/12 = 7.5

Hope I helped!

~ Zoe
7 0
3 years ago
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What is the exponent on 10 when you right 5.3 in scientific notation?
salantis [7]
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the answer is 5.3 x 10^0
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8 0
3 years ago
What is the value of n?
lesya692 [45]
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5 0
3 years ago
5^(-7)*5^(12)*5^(-2)<br><br> with steps
docker41 [41]

Answer:

=125

Step-by-step explanation:

5−7)(512)(5−2)

=

1

78125

(512)(5−2)

=

1

78125

(512)(5−2)

=(

1

78125

(244140625))(5−2)

=3125(5−2)

=3125(

1

25

)

=125

3 0
3 years ago
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