Write 4/100000 as a decimal

Mathematics

2 answers:

pychu [463]3 years ago

7 0

Answer:

0.00004

Step-by-step explanation:

Aleksandr-060686 [28]3 years ago

4 0

Answer:0.000004

or 4.0E-5

Step-by-step explanation:

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The shorter side of a trapezoid is equal to its height, and the longer side is 3/2 times as long. If the area is 80, find the le

lara31 [8.8K]

Answer:

Step-by-step explanation:

Let s represent the length of the shorter base and height. Then (3/2)s is the length of the longer base.

The area formula for a trapezoid is ...

A = 1/2(b1 +b2)h

Filling in the given values, we have ...

80 = (1/2)(s +3/2s)s = 5/4s²

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3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) ma

Pachacha [2.7K]

Answer:

Step-by-step explanation:

$Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)$