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3 years ago

I NEED THIS IN FIVE MINUTES.

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

5p3−2p2−7p1

Step-by-step explanation:

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The radius of a cylindrical vessel is 7 cm and height is 1400 m . Find the cost of painting its inner curved surface area at the

Olegator [25]

Answer:

Cost = 616000 DHS per square centimetre.

Step-by-step explanation:

curved surface of a cylinder = 2 $\pi$ rh

r = 7 cm

h = 1400 m = 140000 cm

The outer curved surface area of the cylinder = inner curved surface area of the cylinder

The inner curved surface of the cylinder = 2 $\pi$ rh

= 2 x $\frac{22}{7}$ x 7 x 140000

= 2 x 22 x 1 x 140000

= 6160000

The inner curved surface of the cylinder is 6160000 square centimetre.

But, the cost of painting is at the rate of 10 DHS per square centimetre.

The inner curved surface of the cylinder = 6.16 x $10^{6}$ square centimetre.

cost of painting the inner curved surface area = $\frac{6.16*10^{6} }{10}$

= 616000 DHS per square centimetre

The cost of painting the inner surface is 616000 DHS per square centimetre.

6 0

3 years ago

Find the following: F(x, y, z) = e^(xy) sin z j + y tan^−1(x/z)k Exercise Find the curl and the divergence of the vector field.

natulia [17]

$\vec F(x,y,z)=e^{xy}\sin z\,\vec\jmath+y\tan^{-1}\dfrac xz\,\vec k$

Divergence is easier to compute:

$\mathrm{div}\vec F=\dfrac{\partial(e^{xy}\sin z)}{\partial y}+\dfrac{\partial\left(y\tan^{-1}\frac xz\right)}{\partial z}$

$\mathrm{div}\vec F=xe^{xy}\sin z-\dfrac{xy}{x^2+z^2}$

Curl is a bit more tedious. Denote by $D_t$ the differential operator, namely the derivative with respect to the variable $t$ . Then

$\mathrm{curl}\vec F=\begin{vmatrix}\vec\imath&\vec\jmath&\vec k\\D_x&D_y&D_z\\0&e^{xy}\sin z&y\tan^{-1}\frac xz\end{vmatrix}$

$\mathrm{curl}\vec F=\left(D_y\left[y\tan^{-1}\dfrac xz\right]-D_z\left[e^{xy}\sin z\right]\right)\,\vec\imath-D_x\left[y\tan^{-1}\dfrac xz\right]\,\vec\jmath+D_x\left[e^{xy}\sin z}\right]\,\vec k$

$\mathrm{curl}\vec F=\left(\tan^{-1}\dfrac xz-e^{xy}\cos z\right)\,\vec\imath-\dfrac{yz}{x^2+z^2}\,\vec\jmath+ye^{xy}\sin z\,\vec k$

5 0

4 years ago

Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression

prisoha [69]

The expression that represents her weekly income is:
180 + 0.03w

8 0

2 years ago

What is f(3) for the quadratic function f(x)=2x2 + x – 12? F -3 G 3 H 6 I. 9

PolarNik [594]

Answer:

f(3) = 9

Step-by-step explanation:

Wherever you see an x on the right, put a 3 in for that x

f(x) = 2x^2 + x - 12

f(3) = 2*(3)^2 + 3 - 12

f(3) = 2*9 + 3 - 12

f(3) = 18 + 3 - 12

f(3) = 9

5 0

3 years ago

15/4 in to equal mixed number

Temka [501]

9514 1404 393

Answer:

3 3/4

Step-by-step explanation:

$\dfrac{15}{4}=\dfrac{12+3}{4}=\dfrac{12}{4}+\dfrac{3}{4}\\\\=3+\dfrac{3}{4}=\boxed{3\dfrac{3}{4}}$

The integer part of the mixed number is the quotient when the numerator is divided by the denominator. The remainder from that division is the numerator of the fraction.

15/4 = 15 ÷ 4 = 3 r 3 = 3 3/4

5 0

3 years ago