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3 years ago

73,498 to the nearest thousand

Mathematics

2 answers:

KIM [24]3 years ago

6 0

Answer:

73,000

Step-by-step explanation:

brainliest?

(::)

Anestetic [448]3 years ago

6 0

Answer: 73000

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

Step-by-step explanation:

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Four numbers from the set 0 to 9, including 0 and 9, are used to create a personal identification number. Once a number is used,

dolphi86 [110]

Answer:

1. 5,040

2. 504

3. 0.1

Step-by-step explanation:

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3 years ago

CAN SOMEONE PLEASE HELP ME OUT!!! I don’t know if it’s A,B,C,D !!

VMariaS [17]

Answer:

Step-by-step explanation:

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Distribute (x-6)(x-7) a) x^2-13x-15 b) x^2-13x+42 c) x^2+x+42 d) x^2+x-15

Sidana [21]

Answer:

B. x² - 13x + 42

Step-by-step explanation:

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3 years ago

Rewrite the following integral in spherical coordinates.

lora16 [44]

In cylindrical coordinates, we have $r^2=x^2+y^2$ , so that

$z = \pm \sqrt{2-r^2} = \pm \sqrt{2-x^2-y^2}$

correspond to the upper and lower halves of a sphere with radius $\sqrt2$ . In spherical coordinates, this sphere is $\rho=\sqrt2$ .

$1 \le r \le \sqrt2$ means our region is between two cylinders with radius 1 and $\sqrt2$ . In spherical coordinates, the inner cylinder has equation

$x^2+y^2 = 1 \implies \rho^2\cos^2(\theta) \sin^2(\phi) + \rho^2\sin^2(\theta) \sin^2(\phi) = \rho^2 \sin^2(\phi) = 1 \\\\ \implies \rho^2 = \csc^2(\phi) \\\\ \implies \rho = \csc(\phi)$

This cylinder meets the sphere when

$x^2 + y^2 + z^2 = 1 + z^2 = 2 \implies z^2 = 1 \\\\ \implies \rho^2 \cos^2(\phi) = 1 \\\\ \implies \rho^2 = \sec^2(\phi) \\\\ \implies \rho = \sec(\phi)$

which occurs at

$\csc(\phi) = \sec(\phi) \implies \tan(\phi) = 1 \implies \phi = \dfrac\pi4+n\pi$

where $n\in\Bbb Z$ . Then $\frac\pi4\le\phi\le\frac{3\pi}4$ .

The volume element transforms to

$dx\,dy\,dz = r\,dr\,d\theta\,dz = \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi$

Putting everything together, we have

$\displaystyle \int_0^{2\pi} \int_1^{\sqrt2} \int_{-\sqrt{2-r^2}}^{\sqrt{2-r^2}} r \, dz \, dr \, d\theta = \boxed{\int_0^{2\pi} \int_{\pi/4}^{3\pi/4} \int_{\csc(\phi)}^{\sqrt2} \rho^2 \sin(\phi) \, d\rho \, d\phi \, d\theta} = \frac{4\pi}3$

4 0

2 years ago

Write an equality that represents eight less that three times a number is more than 22

leonid [27]

Answer:

3x - 8 > 22

Step-by-step explanation:

" eight less" means to subract 8 form something. If you had 10 apples and I took some so now you had 8 less apples, you'd have 10 - 8 = 2 apples

"three times a number" means 3x. 3 times some number.

The expression 3x - 8 means "8 less than 3 times a number"

"is" is math is a statement of equality, either an equals sign or an inequality needs to go here.

Our inequality is

3x - 8 > 22

3 0

3 years ago