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3 years ago

When astronauts Neil Armstrong and Buzz Aldrin first walked on

Mathematics

2 answers:

MAVERICK [17]3 years ago

7 0

Answer:

16.5 pounds

Step-by-step explanation:

16.5% as a decimal is 0.165

0.165 x 100 = 16.5

So in conclusion you will weigh about 16.5 pounds on the moon.

marissa [1.9K]3 years ago

3 0

About 16 if we are counting the fact that the moons gravity is about 16.5 of the earth you will weight 16.5 pounds and will be able to float!

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Use double angle to rewrite 12sinxcosx

castortr0y [4]

Sin2x = 2 sinx cosx
so 12 sinx cosx = 6 sin2x Answer

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3 years ago

If x is an integer, then is -x positive?

Andrei [34K]

Answer:

If x is an integer, then for values of x ≤ 0 would -x be positive.

General Formulas and Concepts:

Integers

Step-by-step explanation:

We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.

If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.

∴ x can only be negative integers, thus giving us x ≤ 0.

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3 years ago

What value of x makes the equation true?

soldier1979 [14.2K]

This one is easy.
<span>–8.6 = –4.1 + x
</span>
So, what you have to do is add 4.1 on both sides.
You do this because you want to get X alone. when you do,
-8.6+4.1=-4.5

X=-4.5
The answer is B

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4 years ago

Read 2 more answers

A disc jockey is organizing his music. He has

harkovskaia [24]

Answer:

4,055

Step-by-step explanation:

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3 years ago

(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in

Sophie [7]

Answer:

Step-by-step explanation:

$\text{Show that a differentiable function f decreases most rapidly at x in the }$

$\text{direction opposite the gradient vector, that is, in the direction of}$ $-\bigtriangledown f(x)$ $\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}$

$\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)$

b) $\text{From part A:}$

$If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}$

$However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284$

$So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}$

6 0

3 years ago