All categories

3 years ago

Write 3x-7+2(2x-7) as the product of 7 and another factor

Mathematics

1 answer:

tankabanditka [31]3 years ago

5 0

Answer:

7x - 3)

Step-by-step explanation:

Given

3x - 7 + 2(2x - 7) ← distribute parenthesis

= 3x - 7 + 4x - 14 ← collect like terms

= 7x - 21 ← factor out 7 from each term

= 7(x - 3)

You might be interested in

9(d − 93) = –36 d = _______

goldenfox [79]

Steps to solve:

9(d - 93) = -36d

~Distribute

9d - 837 = -36d

~Subtract 9d to both sides

-837 = -45d

~Divide -45 to both sides

18.6 = d

Best of Luck!

4 0

3 years ago

Please help ASAP!

g100num [7]

So all you have to do to solve these problems is substitute the y coordinate and the x coordinate into the equation.

So question 1 would be true because when you substitute the numbers in it equals the y value.

Question 2 is (4, -7)

Question 3 is False

Question 4 is true

Question 5 is true

See if you can do the rest!

8 0

4 years ago

Evaluate the surface integral:S

rjkz [21]

Assuming $S$ does not include the plane $z=0$ , we can parameterize the region in spherical coordinates using

$\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle$

where $0\le u\le2\pi$ and $0\le v\le\dfrac\pi/2$ . We then have

$x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v$
$(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v$

Then the surface integral is equivalent to

$\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du$

We have

$\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle$
$\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle$
$\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle$
$\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v$

So the surface integral is equivalent to

$\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du$
$=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv$
$=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw$

where $w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv$ .

$=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}$
$=\dfrac{243}2\pi$

4 0

3 years ago

A laser with wavelength d/8 is shining light on a double slit with slit separation 0.450 mm. This results in an interference pat

solniwko [45]

Answer:

trust no one

Step-by-step explanation:

6 0

3 years ago

Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. She knows that 2,

kherson [118]

Answer:

The correct option is (C) convenience sample.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling, i.e. all items does not have an equivalent chance or probability of being selected. This type of sampling method does not comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach or collect.

For example, sampling the the students of your own class or collecting sample from your own neighborhood.

In this case the Chief Financial Officer of Harrison Haulers, Inc. asks her staff to inspect the last 200 vouchers of the 2500 payroll vouchers that have been issued since January 1, 2000.

She did so because her staff did not have that much time in hand and it is quite convenient to check the last 200 vouchers.

This is because it is quite easy to review the last 200 payroll vouchers since they would be the most recent ones and quite easily accessible.

So, the sampling method used by the Chief Financial Officer of Harrison Haulers, Inc. is Convenience sampling.

Thus, the correct option is (C).

5 0

4 years ago