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2 years ago

Write the recurring decimal 0.4 as a fraction in its simplest form.

Mathematics

2 answers:

Ugo [173]2 years ago

8 0

Answer:

2/5

Step-by-step explanation:

0.4 = 4/10 which in simplest form is 2/5

seropon [69]2 years ago

3 0

Answer:

2/5

Step-by-step explanation:

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How to integrate ∫㏑x/χ from 1 to e

Natali [406]

$\int_1^e\dfrac{\ln x}{x}dx,~\text{if}~u=\ln x\to x=e^u\to dx=e^udu\\\\\text{So, finding the new limits:}\begin{cases}x=1\to u=\ln1\to u=0\\x=e\to u=\ln e\to u=1\end{cases}\\\\
\int_1^e\dfrac{\ln x}{x}dx=\int_0^1\dfrac{u}{e^u}e^udu=\int_0^1u\,du=\left[\dfrac{u^2}{2}\right]_0^1=\dfrac{1^2}{2}-\dfrac{0^2}{2}=\dfrac{1}{2}\\\\
\boxed{\int_1^e\dfrac{\ln x}{x}dx=\dfrac{1}{2}}$

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3 years ago

In the following equation, f(x)=2x +7, what is f(-3)?

Helen [10]

Answer:

f(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 7

f(-3) is x = -3

Step 2: Evaluate

Substitute: f(-3) = 2(-3) + 7
Multiply: f(-3) = -6 + 7
Add: f(-3) = 1

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3 years ago

Solve the inequality. Graph the solution set on a number line. P+5>-3 and p+1<4

fomenos

Answer: -8< P <3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46℅ of his collection. How man

Masteriza [31]

Answer:

46% of 115 gives 52.9 because it is the total of books that is not given

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2 years ago

Divide. Write your answer as a fraction in simplest form. −7/2÷7/5=

Alex777 [14]

The answer i got for this question in simplest form as a fraction is - 5/2

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3 years ago