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2 years ago

Which expression is equivalent to the given expression?

Mathematics

1 answer:

marishachu [46]2 years ago

4 0

Answer:

The third option.

Step-by-step explanation:

$(\frac{4xy^3}{x^2})^2\\\\=(\frac{4y^3}{x})^2\\\\=\frac{16y^6}{x^2}$

Hence the 3rd option.

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Richard and Teo have a combined age of 37. Richard is 4 years older than twice Teo's age. How old are Richard and Teo?

valkas [14]

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

First set up the equations:

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

Then, solve the equations:

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

5 0

3 years ago

Sin(x2 + y2) da r , where r is the region in the first quadrant between the circles with center the origin and radii 2 and 5

sweet [91]

Converting to polar coordinates gives

$\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_{\theta=0}^{\theta=\pi/2}\int_{r=2}^{r=5}\sin(r^2)r\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\pi\int_{r=2}^{r=5}2r\sin(r^2)\,\mathrm dr$
$=\displaystyle\pi\int_{r^2=4}^{r^2=25}\sin(r^2)\,\mathrm d(r^2)$
$=-\cos(r^2)\bigg|_{r^2=4}^{r^2=25}$
$=\pi(\cos4-\cos25)$

3 0

3 years ago

7x+18−6(x+1)−12 Please answer this you get 10 points!!!!

ra1l [238]

Answer:

Step-by-step explanation:

7x+18−6(x+1)−12

start out with distributive property

7x+18+(-6x)+(-6)+(-12)

then add the common things together

x+0

answer is just x, or infine answers, you could put in anything for x

7 0

3 years ago

PLZ HELP ME I NEED HELP PLZ HELP 20 POINTS

ollegr [7]

The answer is A because the same rule applies

7 0

3 years ago

Read 2 more answers

Verify that a+b=b+a by taking a=6 and b=3/6

Klio2033 [76]

Answer:

Step-by-step explanation:

substitute all the numbers in

6+3/6+3/6+6=13

4 0

3 years ago