A t-shirt decreased in price by

Andrew withdrew $332.55 from his savings account. He now has at most $529.71. How Much cash did he originally have?

Art [367]

Andrew originally had $197.16

7 0

3 years ago

Katie gives Maggie half of her pencils. Maggie keeps 5 and gives the rest to jamil. Write an expression for the number of pencil

Inga [223]

Answer

Write an expression for the number of pencils Maggie gives to jamil.

To prove

Let us assume that the number of pencils Katie have = x

As given

Katie gives Maggie half of her pencils.

$Katie\ gives\ Maggie\ half\ of\ her\ pencils = \frac{1x}{2}$

As given

Maggie keeps 5 and gives the rest to jamil.

Thus

$Number\ of\ pencils\ Maggie\ gives\ to\ jamil = \frac{1x}{2} - 5$

Therefore the expression for the number of pencils Maggie gives to jamil are $\frac{1x}{2} - 5$ .

5 0

3 years ago

Read 2 more answers

a report in a newspaper or magazine, or on the Internet that uses results from a survey. Evaluate how the survey uses ratios to

gavmur [86]

Answer:

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Step-by-step explanation:

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5 0

3 years ago

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

$\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt$

$=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k$

The first integral is trivial since $(\tan t)'=\sec^2t$ .

The second can be done by substituting $u=t^2-1$ :

$u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C$

The third can be found by integrating by parts:

$u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t$

$\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8$

$\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C$

8 0

3 years ago

Factor the expression completely:<br> x³ - 3x² - 4x + 12

Ray Of Light [21]

(x+2)(x-2)(x-3) is the answer hope you 've an A

8 0

3 years ago