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3 years ago

Evaluate the expression

Mathematics

2 answers:

kifflom [539]3 years ago

5 0

Answer:-64

Step-by-step explanation:

256 multiplied by 1/4 then make it negative

ELEN [110]3 years ago

4 0

Answer:

-4

Step-by-step explanation:

First you have to factor 256 which is gonna be -4 to the 4th power

Then you multiply -4^4 by 1/4 and get -4 which is the answer

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A trapezoid with bases that measure 8 inches and 11 inches has a height of 3 inches. What is the area of the trapezoid?

gavmur [86]

Area= 1/2(height)×(base↓1+base↓2)
Area=1/2(3)×(8+11)
Area=1/2(3)×(19)
Area=1/2(57)
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Thus, the area of the trapezium is 28.5inches^2

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3 years ago

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Suppose that the amount of algae in a pond doubles every 6 hours. if the pond initially contains 50 pounds of algae, how much al

bulgar [2K]

Answer:

A. 400

Step-by-step explanation:

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3 years ago

Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with

skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

$\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle$

The integral of the field over S is then

$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

$\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}$

8 0

2 years ago

2 times 2 times 9 times 30045

Murrr4er [49]

1,081,620

2 x 2 is 4

9 x 30045 is 270,405

so 4 x 270,405 is 1,081,620

5 0

3 years ago