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3 years ago

What is 0.004 divided by 0.05

Mathematics

1 answer:

Korvikt [17]3 years ago

4 0

When u divide 0.004 by 0.05 you will get 0.08 as the quotient.

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Translate the sentence into an Intequality Eight subtracted from y is greater than 25

Brums [2.3K]

Answer:

8-y<25 hope this answers it

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2 years ago

9*10^7 is how many times as large as 3*10^-2

Elanso [62]

Answer:

Step-by-step explanation:

9 is 3 times larger than 3

10^7 is 10^5 times larger than 10^-2.

(just subtract the exponent)

I hope this helps!

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2 years ago

Read 2 more answers

Is √38 rational or irrational

lbvjy [14]

Answer:

Rational

Step-by-step explanation:

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2 years ago

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Can someone answer this for me? I haven’t done geometry in a while so I need a refresher.

Olin [163]

I believe I have to calculate the area of the shape. I'll do that.

Answer:

Total area = 23.04 square m

Step-by-step explanation:

Area of a compound shape

The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.

The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m

The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:

A1 = 5.2 m * 3.2 m = 16.64 square m

A2 = 2 m * 3.2 m = 6.4 square m

The total area is:

At = 16.64 square m + 6.4 square m = 23.04 square m

Total area = 23.04 square m

3 0

3 years ago

Find integra of xlnxdx

Mademuasel [1]

Answer:

$\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}$

Step-by-step explanation:

Fundamental Theorem of Calculus

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Increase the power by 1, then divide by the new power.

Given indefinite integral:

$\displaystyle \int x \ln x \:\: \text{d}x$

To integrate the given integral, use Integration by Parts:

$\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}$

$\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}$

$\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2$

Therefore:

$\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}$

Learn more about integration here:

brainly.com/question/27805589

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2 years ago