6 minus 4 2/7 = ANSWER ASAP AND BE RIGHT EXPLAINNNN STEP BY STEP TO BE BRAINLIEST

Mathematics

1 answer:

faust18 [17]3 years ago

6 0

Answer:

12/7

Step-by-step explanation:

6-4 2/7 =

42/7 - 30/7 =

12/7

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zalisa [80]

Hey there! I have a question for you so the question is have you read the story?

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3 years ago

Match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. Use each word only o

pshichka [43]

The slowly increasing distance between South America and Africa is due to: a. Seafloor Spreading.
Old Faithful Geyser at Yellowstone National Park in the United States of America acquires its energy from a: b. Hot Spot.
Layered sedimentary rock exposed by erosion can be seen when looking at the Grand Canyon in the United States of America.
Australia is made up of relatively old and thick: d. Continental Crust.
The extremely deep ocean Marianas Trench is a result of: g. Subduction.
Seafloor Crust: found in the Atlantic Ocean between North America and Europe comprises dense and relatively young rock.
The earthquakes that occur in Southern California generally occur above a: f. Fault.

<h3>What is seafloor spreading?</h3>

Seafloor spreading can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.

The theory of seafloor spreading was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.

A hot spot refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.

In the United States of America, you will see a layered sedimentary rock that is exposed by erosion when you view the Grand Canyon.

Furthermore, Australia is made up of relatively old and thick continental crust. Also, subduction causes the formation of extremely deep ocean Marianas Trench.

Read more on seafloor spreading here: brainly.com/question/12037536

7 0

2 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:

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