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Kisachek [45]
3 years ago
5

A cube has a volume of 125 cm cubed What is the area of one of its faces? O A) 5 cm O (C) 150 cm2 O (B) 25 cm2 O (D) 300 cm​

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

pretty sure its B

Step-by-step explanation:

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Consider the force field and circle defined below.
grin007 [14]

By Green's theorem,

\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy

where C is the circle x^2+y^2=9 and D is the interior of C, or the disk x^2+y^2\le1.

Convert to polar coordinates, taking

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta

Then the work done by \vec F on the particle is

\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0

4 0
3 years ago
Find the inverse <br> f(x)=(2x-3)^2 -1
boyakko [2]
2 is the answer ok great
8 0
3 years ago
Please I need help? And can u help me with the other questions I asked on my profile?
emmasim [6.3K]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line

m = \frac{5-2}{8-2} = \frac{3}{6} = \frac{1}{2}

the line crosses the y-axis at (0, 1) ⇒ c = 1

y = \frac{1}{2} x + 1 ← equation in slope- intercept form



8 0
3 years ago
A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
olga_2 [115]

Answer:

\frac{3,25}{5}=0,65 \\ for brand x for 1 fluid ounces

\frac{6}{8}=0,75 for brand y

0,75-0,65=0,1

Brand x costs $0,1 less

Step-by-step explanation:

3 0
3 years ago
Find area of parallelogram? ​
iragen [17]

Answer:

408 cm

Step-by-step explanation:

4 0
3 years ago
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