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kolbaska11 [484]
1 year ago
5

Use five different colors to paint the four rectangles A, B, C and D shown in the figure. No two rectangles sharing an edge can

be the same color. How many ways are there to color the rectangles?

Mathematics
1 answer:
GenaCL600 [577]1 year ago
8 0

There are 120 ways to color the 4 rectangles

<h3>How to determine the number of ways?</h3>

The given parameters are:

Paints, n = 5

Rectangles, = 4

The number of ways to color the rectangles is

Ways = ^nP_r

This gives

Ways = ^5P_4

Apply the permutation formula

Ways = \frac{5!}{1!}

Evaluate the expression

Ways = 120

Hence, there are 120 ways to color the 4 rectangles

Read more about permutation at:

brainly.com/question/1216161

#SPJ1

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g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

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2 years ago
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Answer (-3,6)
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f(x)=x ² +6x+15
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the vertex:(-3,6)
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You an rent a canoe for five hours with 25 dollars
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I’m pretty sure the answer is xy
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Kim is a medical supplies salesperson. Each month she receives a 5% commission on all her sales of medical supplies up to $20,00
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Answer: her sales for the month of May is $55000

Step-by-step explanation:

Let x represent her total sales for the month of May.

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She also earns 8.5% on her total sales over $20,000. This means that for sales over $20000, she earns

8.5/100(x - 20000) = 0.085x - 1700

Her total commission for May was $3,975. The expression becomes

1000 + 0.085x - 1700 = 3975

0.085x = 3975 + 1700 - 1000

0.085x = 4675

x = 4675/0.085

x = 55000

5 0
3 years ago
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