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4 years ago

Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left

Mathematics

1 answer:

Daniel [21]4 years ago

4 0

Please state the options here in the comment section

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A satellite moves at a speed of 2.4 x 10^4 km/h. Work out how long it will take for the satellite to move a distance of 3.2x10^6

Alenkinab [10]

Answer:

Below in bold.

Step-by-step explanation:

speed = distance / time

2.4 * 10^4 = 3.2 * 10^6 /time

Time = 3.2 * 10^6 / 2.4 * 10^4

= 3.2/2.4 * 10^(6-4)

= 1.3333.. * 10^2 hours

= 133 hours ( to 3 significant figures).

8 0

2 years ago

How do I figure out 221 ÷0.0001

beks73 [17]

Answer:

221.0001

Step-by-step explanation:

Attempt to look at the number of 0s behind the decimal point, which you add those 0s and the digit number (1) into place

221

0.0001

221.0001

5 0

4 years ago

Read 2 more answers

Standard of living is the level at which

Serggg [28]

Answer:

hope it helped you

Step-by-step explanation:

Standard of living refers to the level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class or geographic area. Quality of life, on the other hand, is a subjective term that can measure happiness.

6 0

4 years ago

Pleasee help, thank you so much

dezoksy [38]

Answer:

-2

Step-by-step explanation:

Use the slope formula when given two points

Slope formula = $\frac{y_2-y_1}{x_2-x_1}$

( the x and y values are determined by the given points )

Given the points ( 0 , 5 ) and ( 1 , 3 )

Plug in the x and y values of the given points into the formula

( remember y values on top x values on bottom )

$slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2$

Hence, the answer is D

5 0

3 years ago

Use the given transformation x=4u, y=3v to evaluate the integral. ∬r4x2 da, where r is the region bounded by the ellipse x216 y2

exis [7]

The Jacobian for this transformation is

$J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ 0 & 3 \end{bmatrix}$

with determinant $|J| = 12$ , hence the area element becomes

$dA = dx\,dy = 12 \, du\,dv$

Then the integral becomes

$\displaystyle \iint_{R'} 4x^2 \, dA = 768 \iint_R u^2 \, du \, dv$

where $R'$ is the unit circle,

$\dfrac{x^2}{16} + \dfrac{y^2}9 = \dfrac{(4u^2)}{16} + \dfrac{(3v)^2}9 = u^2 + v^2 = 1$

so that

$\displaystyle 768 \iint_R u^2 \, du \, dv = 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2 \, du \, dv$

Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.

$\begin{cases} u = r\cos(\theta) \\ v = r\sin(\theta) \\ u^2+v^2 = r^2\\ du\,dv = r\,dr\,d\theta\end{cases}$

Then

$\displaystyle 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2\,du\,dv = 768 \int_0^{2\pi} \int_0^1 (r\cos(\theta))^2 r\,dr\,d\theta \\\\ ~~~~~~~~~~~~ = 768 \left(\int_0^{2\pi} \cos^2(\theta)\,d\theta\right) \left(\int_0^1 r^3\,dr\right) = \boxed{192\pi}$

3 0

2 years ago