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4 years ago

Estimate 309 times 29

Mathematics

2 answers:

scoundrel [369]4 years ago

6 0

The answer is about 9,000

topjm [15]4 years ago

3 0

About 9,000 would be the answer

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There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You

V125BC [204]

Answer:

coin: ball:

head -- 6

tail -- 6

6 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:

<u>Fundamental Theorem of Calculus</u>

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

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

$\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 <u>indefinite integral</u>:

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

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:

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2 years ago

Which equation represents the graphed function?

Phantasy [73]

the answer is c 3/2 x - 3 = y. :)

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4 years ago

Help ASAP will give brainly 9th grade math

KatRina [158]

<h2>Answer: </h2><h2>14. 2z + 3yz - 6z +2yz + y - z - 4y 2z - 6z -4z - z -5z + 3yz + 2yz + y - 4y 3yz + 2yz -5z + 5yz + y - 4y </h2><h2>Answer = -5z + 5yz - 3y </h2><h2 /><h2>15. -4ab + 3ax + ba - 6xa -4ab + ba Answer = -5ab - 3xa </h2><h2 /><h2>16. -c(3b - 7a) -3bc - 7ac Step-by-step explanation: </h2><h2>Hopes this helps. Mark as brainlest plz!</h2>

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3 years ago

Translate this sentence into an equation. The product of Mabel's score and 6 is 90 . Use the variable m to represent Mabel's sco

Jobisdone [24]

product is the answer to a multiplication problem mx6=90

3 0

4 years ago