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A 5×6 rectangular grid with unit cells is given. Let A(0, 0) and B(5, 6) be the bottom-left corner and top-right corner, respect

harina [27]

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

Only right movement is allowed in the horizontal direction

Only up movement is allowed in the vertical direction

There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

R represents the right movement
U represents the up movement

And we have:

$R = 5$ and $U = 6$

The number of possible paths (N) is then calculated as:

$N = \frac{(N + U)!}{N!U!}$

Substitute values for N and U

$N = \frac{(5 + 6)!}{5!6!}$

$N = \frac{11!}{5!6!}$

$N = \frac{39916800}{120 * 720}$

$N = \frac{39916800}{86400}$

$N = 462$

<em>Hence, there are 462 possible paths from A to B</em>

4 0

3 years ago

hich uses the high-low method to analyze cost behavior, has determined that machine hours best predict the company's total ut

Crank

Answer:

1)- Variable utilities cost per machine hour = 1.6 per machine hour

2)- Fixed cost = 1740

3)-Total cost on 1220 Machine hour will be

= 3692

Step-by-step explanation:

1) CALCULATE VARIABLE UTILITIES COST PER MACHINE HOUR :

Variable utilities cost per machine hour = Change in cost/high machine hour-low machine hour

=4076-3388/1460-1030

Variable utilities cost per machine hour = 1.6 per machine hour

2) Fixed cost = Total cost-variable cost

= 3388-(1030*1.6)

Fixed cost = 1740

3) Total cost on 1220 Machine hour will be (1220*1.6+1740) = 3692

3 0

3 years ago

Carl is on the school track team. To prepare for an upcoming race, he plans to run 217217217 miles total over the next 313131 da

Alla [95]

Answer:

7 I think that is what I saw someone else say.

Step-by-step explanation:

6 0

3 years ago

Which of the following is the equation for the graph shown?

Nina [5.8K]

The equation of the hyperbola is $\frac{x^2}{4} -\frac{y^2}{12} = 1$

<h3>How to determine the equation of the graph?</h3>

The points on the graph are given as:

(2, 0) and (-2, 0)
(4, 0) and (-4, 0)
Lines at: x = 1 and x = -1

The hyperbola can be represented as:

$\frac{x^2}{b^2} -\frac{y^2}{a^2} = 1$

The points (2, 0) and (-2, 0) means that:

$b = \±2$

Square both sides

$b^2 = 4$

So, we have:

$\frac{x^2}{4} -\frac{y^2}{a^2} = 1$

Also, we have:

a^2 = c^2 - b^2

Where c = 4

This gives

a^2 = 4^2 - 4

Evaluate

a^2 = 12

Substitute a^2 = 12 in $\frac{x^2}{4} -\frac{y^2}{a^2} = 1$

$\frac{x^2}{4} -\frac{y^2}{12} = 1$

Hence, the equation of the hyperbola is $\frac{x^2}{4} -\frac{y^2}{12} = 1$