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3 years ago

PLEASE HELP!! FAST :)

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

7 0

Since x³ = x^(1/3) you can say that

(x¹⁰)^(1/3) = x^10/3 = x^(3 + 1/3) =

x³ ·∛x

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Which equation represents a proportional relationship between the x and y values?

Airida [17]

Answer:

D) $y=-2x$

Step-by-step explanation:

A linear relationship is of the form $y=mx+b$ , where, $m$ is the slope and $b$ is the y-intercept (constant).

For a proportional relationship, the value of $b=0$ and thus it is of the form $y=mx$

Let us check each option and express it in the form above.

Option A:

$y=2$

This can be written as $y=0x+2$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option B:

$y=14x+1$

Here, $b=1$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option C:

$y=x-4$

Here, $b=-4$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option D:

$y=-2x$

This can be rewritten as $y=-2x+0$

There is no y-intercept on this. So, $b=0$

Since, $b = 0$ , therefore, it is a proportional relationship.

Therefore, the correct option is D.

8 0

3 years ago

Read 2 more answers

A girl obtained 32.8 marks in nepali and failed by 7.2 marks. What was the pass marks of the subject?

adoni [48]

Answer:

40 marks was the pass marks of the subject.

Step-by-step explanation:

32.8 + 7.2 = 40 marks { basic addition theory based }

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2 years ago

What is the area of the triangle?

ArbitrLikvidat [17]

9514 1404 393

Answer:

7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
figure the area from the coordinates of the vertices.
use Pick's theorem and count the dots.

We choose the latter.

Pick's theorem says the area of a polygon can be found as ...

A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

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3 years ago

At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?

nikdorinn [45]

Answer: 8.4375 U.S. dollars2

Step-by-step explanation:

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3 years ago

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A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o

vivado [14]

Since $\rho=\dfrac mV$ (density = mass/volume), we can get the mass/weight of the liquid by integrating the density $\rho(x,y,z)$ over the interior of the tank. This is done with the integral

$\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx$

which is more readily computed in cylindrical coordinates as

$\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}$

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3 years ago