All categories

3 years ago

$14.30 watch ; 6 3/4% sales tax

Mathematics

2 answers:

CaHeK987 [17]3 years ago

5 0

If your figuring out the total, it will be $21.05

Nostrana [21]3 years ago

3 0

<span>$14.30 watch ; 6 3/4% sales tax </span>$15.27

You might be interested in

Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also

n200080 [17]

Answer:

Step-by-step explanation:

Given (12^13–12^12+12^11)(11^9–11^8+11^7),

(12^13–12^12+12^11)(11^9–11^8+11^7) =

[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =

[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

From here, it is clear that the given number is divisible by 3, 7, 19 and 37.

6 0

3 years ago

Graph the three parts of inequality 1 < x + 3 < 9

Fittoniya [83]

First part: 1 is less than the sum of x and 3: 1 < x+3.
Second part: the sum of x and 3 is less than 9.
Obviously 1 < 9.

Taking another look at 1<x+3, we can solve for x: -2<x. Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides. Then x<6.
Draw a dashed vertical line thru x=6.

Shade the area between these two vertical lines to obtain the desired graph.

5 0

4 years ago

Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago

283% of 305 estimate

saveliy_v [14]

2.83 x 305 ( of is always multiplication )

5 0

3 years ago

Read 2 more answers

From a well shuffled deck of 52 cards, the probability of NOT drawings a red-face card is ______.

Gnom [1K]

Answer:

Option "d" might be 11/13

Step-by-step explanation:

Red face cards=8. ( heart and Diamond)

Remove this 8 cards from 52 cards which gives

=>44

Toal cards =52

PROBABILITY = 44/52=>11/13

5 0

3 years ago