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3 years ago

9

Three boxes are stacked one on top of the other. One box is 5 feet 10 inches tall , one is 4 feet 2 inches tall and one is 2 fee

t 3 inches tall. How high is the stack ?
Ft: In :

1 answer:

katovenus [111]3 years ago

6 0

The boxes would be 12 feet and 3 inches tall

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Counting backwards from 5, what number is 4?

umka21 [38]

Answer:

The number 4 is the first term of the sequence

Step-by-step explanation:

we know that

<u>Counting backwards</u> is when the numbers are count in reverse sequence

Is also know as 1 less

In this problem the sequence of counting backwards from 5 is equal to

4,3,2,1,0

therefore

The number 4 is the first term of the sequence

6 0

3 years ago

The owner of a small store buys coats for $60.00 each. she sells the coats for $ 72.00 each. What percent of the purchase pric

tekilochka [14]

Answer:

Answer: 55% Step-by-step explanation: To find the percentage of the purchase price, simply divide the purchase price by the selling price and multiply it by 100. 50 90 0.55 0.55 * 100 = 55 This information is helpful to find a metric between supply and demand.

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2 years ago

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 7x2 + y2 and the

Akimi4 [234]

Letting $x=t$ , we get $y=3x^2=3t^2$ and $z=7x^2+y^2=7t^2+(3t^2)^2=7t^2+9t^4$ , so we can parameterize the intersection by

$\mathbf r(t)=\langle t,3t^2,7t^2+9t^4\rangle$

where $-\infty$ .

Image attached.

5 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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5 0

1 year ago

the measurement of an angle is five times less than the measurement of its supplement what is the measurement of the angle a. 30

Levart [38]

Let the angle be y;
Then the supplement is 5y
y+5y=180
6y=180
y=30
The angle is 30 degrees

8 0

3 years ago