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atroni [7]
3 years ago
9

Consider the function f(x) =x^x . Find f(4)

Mathematics
1 answer:
Kay [80]3 years ago
8 0

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • f(x) = x^x, f(4) = ?

\huge \boxed{\mathfrak{Answer} \downarrow}

\tt \: f(x) =  {x}^{x}  \\  \\ \tt \:Substitute \: the \: value \: of \: x \: as \: 4. \\  \\ \tt \:f(4) =  {4}^{4}  \\   \tt \: f(4) = 4 \times 4 \times 4 \times 4 \\ \tt \:f(4) = 16 \times 16 \\ \tt \:f(4) =  \boxed{ \boxed{ \bf \: 256}}

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the length of a rectangle is 3 inches more than it’s width. if the perimeter is 42 inches, find the dimensions of the rectangle
Sindrei [870]

Answer:

length = 12

width = 9

Step-by-step explanation:

We can use a system of linear equations to solve this problem. Lets make the variable L represent length and W represent width.

So we know that the length is 3 more than the width. An equation for this would be:

W = L - 3

We also know that the perimeter is 42 inches. The perimeter of a rectangle, using the variables L and W, is 2L + 2W, or 2(L + W). Using this, we can make the equation:

2(L + W) = 42

We can simplify the last equation by dividing both sides by 2:

L + W = 21

So now we have the two equations:

W = L - 3

L + W = 21

From here, there are multiple ways this question can be solved. I am going to use the substitution method here.

Knowing that W = L - 3, we can replace W in the second equation with L - 3.

L + L - 3 = 21

Add 3 to both sides.

2L = 24

Divide both sides by 2.

L = 12

Now we know that L = 12. Using this, we can replace L with 12 in the first equation to solve for W.

W = 12 - 3

W = 9

So:

L = length = 12

W = width = 9

I hope you find my answer helpful.

3 0
4 years ago
What is 8/18 writin as a decimal
Fudgin [204]

Answer:

answer= 0.44 as a decimal

7 0
4 years ago
I need help someone ....
kvasek [131]

Answer:

162 ft^2

Step-by-step explanation:

18 * 18 = 324

324/2 = 162

The area of the patio is 162 square feet

7 0
3 years ago
Read 2 more answers
REALLY URGENT. 1 3/5 divided by 2/5
Nikolay [14]

Answer:

4

Step-by-step explanation:

<em>1 3/5(2/5) = 4</em>

7 0
4 years ago
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Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column
Pie

The statements that apply to the algebraic expression are

  • Replace “a number” with the variable, n.
  • The two operations are multiplication and subtraction.
  • The constants are 2 and 6.
  • The expression is written as 2(n – 6)
<h3 /><h3>How to determine the algebraic expression?</h3>

The complete question is added as an attachment

The statement is given as:

Twice the difference of a number and six

Represent the number with n.

So, the statement becomes

Twice the difference of a n and six

Twice means 2 *

So, we have

2 * difference of a n and six

Express difference as minus i.e. -

So, we have

2 * (n - 6)

Hence, the expression is written as 2(n - 6)

Read more about algebraic expressions at:

brainly.com/question/4344214

#SPJ1

6 0
1 year ago
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