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Amiraneli [1.4K]
3 years ago
11

Album 1: 19 photos

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

1. 43

2. 24/43

Stepbystepexplaination

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What are the types of roots of the equation below?<br><br> x^4 - 81 = 0
solmaris [256]
X^4-81=0
(x^2+9)(x^2-9)=0
(not real)=0 (x^2-9)=0
(x^2-9)=(x+3)(x-3)
Real roots=-3,3, also irrational -(-9)^(1/2), (-9)^(1/2)
4 0
3 years ago
What is the frequency of the function f(x)?
Readme [11.4K]

Answer:

The frequency = 5/2π

Step-by-step explanation:

* Lets revise some facts about the trigonometry function

- If the function is f(x) = A sin (B x + C) + D  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

 divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

- Period and Frequency are related where frequency = 1/period

* C is the horizontal shift  

- The horizontal shift is how far the function is shifted to left  

 (C is positive) or to right (C is negative) from the original position.  

* D is the vertical shift  

- The vertical shift is how far the function is shifted vertically up

  (D is positive) or down (D is negative) from the original position.  

* Lets solve the problem

∵ f(x) = 3 cos (5x) + 2

∵ f(x) = A sin (B x + C) + D  

∴ A = 3 , B = 5 , C = 0 , D = 2

∵ The period = 2π/B

∴ The period = 2π/5

∵ The frequency = 1/period

∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5

∴ The frequency = 5/2π

4 0
3 years ago
Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bub
Dmitrij [34]

Answer:

1 over 3 (3.14)(32)(2) − 4 over 3 (3.14)(0.53)

Step-by-step explanation:

not sure but i think this is the right answer

3 0
2 years ago
What is the definition of data
Studentka2010 [4]

Answer:

facts and statistics collected together for reference or analysis

a piece of information :)

Step-by-step explanation:

5 0
3 years ago
Mary has $45 to spend on school field trip. After paying $33.50 for the cost of the field trip and $9.75 for lunch, how much wil
galina1969 [7]

Hello!

To find the money she has left after paying for the field trip and lunch, we need to be add the costs together, and then subtract it from the total amount Mary has to use for the field trip.

We are given the cost of the field trip, which is 33.50 dollars, and how much she spent for lunch, which is 9.75 dollars. Also, Mary had 45 dollars to use for the field.

33.50 + 9.75 = 43.25 | This is how much she spent on the field trip.

45 - 43.25 = 1.75

Therefore, after the field trip, Mary has 1.75 dollars left.

7 0
3 years ago
Read 2 more answers
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