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xeze [42]
3 years ago
6

How many years has it been since the Parthenon had begun?

Mathematics
1 answer:
horsena [70]3 years ago
4 0
15 years since the Parthenon had begun
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Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
2 years ago
Read 2 more answers
Write a number sentence for the problem. Usefor the missing number. Then solve . 29 children rode their bikes to school. After s
Elza [17]

Answer:

well apperently all will ride home but i need you to type the question correctly so i know what your asking.  :)

Step-by-step explanation:


6 0
3 years ago
Figure A is dilated by a scale factor of 1 to form Figure B.
son4ous [18]

Answer:

  • C. 8 inches

Step-by-step explanation:

Note. The original question is attached.

<u>Solution:</u>

Scale factor is 1/2 and the corresponding side has a length of 16 inches.

<u>The value of x is:</u>

  • x = 1/2*16 = 8 inches

Correct option is C

6 0
3 years ago
a password to a computer consists of 6 characters: a digit, a letter, a digit, a letter, a digit, and a letter in that order, wh
MrRa [10]

As per the concept of probability, there are 4,717,440 number of passwords are possible.

Probability:

In statistics, probability refers the favorable outcome of the particular event.

Given,

A password to a computer consists of 6 characters: a digit, a letter, a digit, a letter, a digit, and a letter in that order, where the numbers from 1 through 9 are allowed for digits.

Here we need to find how many different passwords are possible.

Total number of characters = 6

According to this, each password would have

5 digits of 10 digits: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], and

one of 26 letters: [A to Z].

Here there is no repeats are allowed, and assuming only upper case letters are valid and the letter is the last character, then we can form 10*9*8*7*6 * 26 = 786,240 such passwords.

If the repetition is allowed then number of possible passwords is

786,240 * 6 = 4,717,440.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

4 0
1 year ago
What is the length of the equilateral triangle below?
kykrilka [37]

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, <em>a</em><em>²</em><em> </em><em>+</em><em> </em><em>b</em><em>²</em><em> </em><em>=</em><em> </em><em>c</em><em>²,</em><em> </em>where <em>c</em><em> </em>is the "HYPOTENUSE". In this case, <em>c</em><em> </em>is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find <em>a</em><em>,</em><em> </em>we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with <em>5</em><em>√</em><em>3.</em><em> </em>You understand?

I am joyous to assist you anytime.

4 0
3 years ago
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