A

Goals and purpose of the BIA – unique to your scenario b. Summary of Findings – business functions and assessment c. Prioritizat

tangare [24]

Answer:

Prioritizations – critical, major, and minor classifications is correct option

8 0

4 years ago

The complement to an angle with a measure of 53 degrees is 27 degrees.<br><br> is this true or false

Arlecino [84]

It is true
.............

3 0

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

What is a 6% sales tax for a pair of $85 jeans

alexira [117]

Answer:

Hey there the answer is $5.10 but if you need the full price it is $90.10

Step-by-step explanation:

3 0

3 years ago

Last year 40 people adopted a manatee through fia's foundation. This year 30% more people adopted a manatee. How many people ado

Natali [406]

____________________________________________________

Answer:

Your answer would be 52 people.

____________________________________________________

Step-by-step explanation:

To solve a problem like this, we would want to find out the TOTAL amount of people after figuring out how much increased.

In the question, it is saying that there was a 30% increase from the 40 people that adopted a manatee last year.

There are two ways to solve this:

First way to solve this, we would need to figure out how much is 30% of 40.

To do that, we would multiply 40 by 0.30

40 × 0.30 = 12

Now we found how much 30% of 40 is. What we have to do now is add 40 and 12 to get the total amount of people that adopted a manatee this year.

40 + 12 = 52

Second way to solve it:

This is probably the more faster way to solve the question like this. We know that the increase was 30%, and that last years number was 40. So we would multiply 40 by 1.3

40 × 1.3 = 52

The second way is probably more quicker than the first, but it's your choice on which way you want to use. They both will give you the same answer at the end.

Your FINAL answer would be 52 people.

____________________________________________________

4 0

4 years ago