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Elan Coil [88]
3 years ago
8

A website developer is designing a website for a clothing company . Clothing items will be arranged on a web page in a rectangul

ar display showing 32 clothing items, with the same number of items in each row . How many ways can the display be arranged?
Mathematics
1 answer:
kkurt [141]3 years ago
8 0
<span>A total of 32 clothing items will be arranged on a web page. Since the location of all rectangular display is different, that means the arrangement order will be important so you need to use permutation in this problem. The calculation would be:
32P= 32!= </span><span>2.63* 10^35 possible ways</span>
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What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]? A. maximum point: (–2.4, 3
slava [35]

Answer:

(-2.4, 37.014)

Step-by-step explanation:

We are not told how to approach this problem.  

One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually.  A good graph done on a graphing calculator would be sufficient info for this estimation.  My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.  

Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3].  In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.

Optional:  Another approach would be to use calculus:  we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x.  There would be four x-values, which we'd call "critical values."

3 0
3 years ago
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F(x) = 3x3+ 8x-2<br> k(x) = 4x<br> What is the value of K(F(x))?
12345 [234]

Answer:

k (3x^3 + 8x - 2) = 12x^3 + 32x - 8

Step-by-step explanation:

Set up the composite result function.

k (F (x))

Evaluate k (F (x)) by substituting in the value of into.

k (3x^3 + 8x - 2) = 4 (3x^3 + 8x - 2)

Apply the distributive property

k (3x^3 + 8x - 2) = 4 (3x^3) + 4 (8x) + 4(-2)

Simplify

       Multiply 3 by 4.

            k (3x^3 + 8x - 2) = 12x^3 + 4 (8x) + 4(-2)

       Multiply 8 by 4.

             k (3x^3 + 8x - 2) = 12x^3 + 32x + 4(-2)

      Multiply  4 by -2.

              k (3x^3 + 8x - 2) = 12x^3 + 32x - 8

8 0
3 years ago
I = V/R <br>make R the Subject formula​
viktelen [127]

Answer:

R = V/I

Step-by-step explanation:

I = V/R

Multiply both sides by r

IR = V

Divide both sides by I

R = V/I

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2 = 6/3

3 = 6/2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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The sun of the first 3 terms of an arithmetic sequence is 21 while their product is 315 determine these three terms?
Vladimir79 [104]

Answer:

The terms of the sequence are x=5 and a=2:

x + (x + a) + (x + 2a) = 21  →  5 + (5 + 2) + (5 +2*2) = 21

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Step-by-step explanation:

We can find the terms of the following sequence:

x + (x + a) + (x + 2a) = 21

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x + a = 7      (1)

The product of that sequence is:

x*(x + a)*(x + 2a) = 315    (2)

Solving equation (1) for x:

x = 7 - a  (3)

And by entering (3) into (2):

(7 - a)*(7 - a + a)*(7 - a + 2a) = 315  

7*(7^{2} - a^{2}) = 315  

343 - 7a^{2} = 315    

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Now, by entering "a" into equation (3):

x = 7 - 2 = 5  

Therefore, the terms of the sequence are x=5 and a=2.

I hope it helps you!

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3 years ago
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