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3 years ago

Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.

Mathematics

1 answer:

Llana [10]3 years ago

7 0

Answer:

Fractional form of 0.8034 $=\frac{4017}{5000}$

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have $0.8034=\frac{8034}{10000} =\frac{4017}{5000}$

Fractional form of 0.8034 $=\frac{4017}{5000}$

Since 4017 and 5000 are whole numbers this fraction is rational.

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The sum of a number and its reciprocal is 65/8. Find the numbers.

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Step-by-step explanation:

x + $\frac{1}{x}$ = $\frac{65}{8}$

need to eliminate the denominator:

x(8x) + $\frac{1}{x}$ (8x) = $\frac{65}{8}$ (8x)

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4 years ago

The graph of a function g is a transformation of the graph of f(x)=4x−10, where g(x) is 40% of f(x). Write a rule for g.

sweet-ann [11.9K]

Answer:

g(x) = 1.6 x - 4

Step-by-step explanation:

Given:

f(x) = 4 x - 10

g(x) is 40% of f(x)

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g(x)

Computation:

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3 years ago

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg × 1.1010 dg

12.0 m ÷ 3.1415 m

Answer:

1. $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2. $\frac{12}{3.1415} = 3.8198$

Step-by-step explanation:

1. 5.61000 dg × 1.1010 dg

We start by representing each digit using scientific notation

$5.61000 = 561000 * 10^{-5}$

$1.1010 = 11010 * 10^{-4}$

Then, Multiply both numbers

$561000 * 10^{-5} * 11010 * 10^{-4}$

First, rearrange

$561000 * 11010 * 10^{-5} * 10^{-4}$

$6176610000 * 10^{-5} * 10^{-4}$

From law of indices, $10^{-5} * 10^{-4} = 10^{-9}$ ;

So, we have

$6176610000 * 10^{-9}$

$6.176610000$

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives $6.177$

Hence, $5.61000dg * 1.1010dg$ = $6.177 dg^2$

12.0 m ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = $\frac{12}{3.1415}$

We start by representing 3.1415 using scientific notation

$3.1415 = 31415 * 10^{-4}$

By substitution;

$\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}$

Take $10^{-4}$ to the numerator

$\frac{12}{3.1415} = \frac{12 * 10^4}{31415}$

From law of indices, $10^{4}$ = 10000

$\frac{12}{3.1415} = \frac{12 * 10000}{31415}$

Multiply

$\frac{12}{3.1415} = \frac{120000}{31415}$

Divide

$\frac{12}{3.1415} = 3.81983129078$

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

$\frac{12}{3.1415} = 3.8198$

5 0

4 years ago

Read 2 more answers