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2 years ago

Simplify y5 x y3 divided by y2

1 answer:

6 0

In your laws of indices, when multplying numbers of the same base, you add their indices and when dividing you subtract. Therfore:
$\frac{y^{5} *y^{3}}{ y^{2} } = \frac{ y^{8} }{ y^{2} } = y^{6}$

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Plz help I need help

Pani-rosa [81]

Answer:

2/3

Step-by-step explanation:

0/0 is 0

1/2 is 1 of 2

2/3 is 2 of 3

3/4 is 3 of 4

hopefully it helps!

6 0

2 years ago

The units of the subway map below are in miles. Suppose the routes between stations are straight. Find the approximate distance

Tcecarenko [31]

Answer: 9.5

Step-by-step explanation: took one for the team

4 0

3 years ago

Solve the exponential equation use a calculator to obtain a decimal approximation correct to two decimal place for the solution.

svetlana [45]

6^(8x) = 4
log 6^(8x) = log 4
8x log 6 = log 4
x = log 4 / 8log 6 = 0.10 to two decimal places.

3 0

2 years ago

Lila is building a slide for her kids. The ladder is 3 meters tall and the slide is 5 meters long. What is the distance between

lisov135 [29]

Answer:

Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .

In this problem they gave us a and c already so we are trying to find b.

3^2+?=5^2

9+?=25

25-9=16

Find the square root of 16 which is 4

Answer: The distance between the ladder and the slide is 4 meters

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:

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

Learn more about integration here:

brainly.com/question/27805589

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brainly.com/question/27759474

5 0

1 year ago