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Neko [114]
3 years ago
14

Find f ∘ g f∘g and g ∘ f g∘f. f ( x ) = x 2 / 3 , g ( x ) = x 9 f(x)=x2/3, g(x)=x9 (a) f ∘ g f∘g (b) g ∘ f g∘f Find the domain o

f each function and each composite function. Domain of f f: all real numbers except x = 9 x=9 all real numbers except x = 3 x=3 all real numbers except x = 2 x=2 all real numbers x x Domain of g g: all real numbers except x = 2 x=2 all real numbers x x all real numbers except x = 9 x=9 all real numbers except x = 3 x=3 Domain of f ∘ g f∘g: all real numbers except x = 2 x=2 all real numbers except x = 3 x=3 all real numbers except x = 9 x=9 all real numbers x x Domain of g ∘ f g∘f: all real numbers except x = 9 x=9 all real numbers x x all real numbers except x = 3 x=3 all real numbers except x = 2
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0
I don’t know it’s soooo long:)
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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

brainly.com/question/28047791

#SPJ1

8 0
1 year ago
A community organizes a phone tree in order to alert each family of emergencies. In the first stage, one person calls five famil
masya89 [10]
Answer: It will take 7 stages for all 19,530 families to be called.

In the first stage, only 5 families are called.

In the second stage, we would have 5 x 5 = 25 families being called.

In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.

4th stage: 5^4 = 625

5th stage: 5^5 = 3125

6th stage: 5^6 = 15625

7th stage: 5^7 = 78,125
6 0
3 years ago
Can i have help please NO LINKS!!​
seropon [69]

Answer: 115 miles

Step-by-step explanation:

just do 60+55 miles = 115

3 0
3 years ago
Read 2 more answers
Lines a and b are parallel.
Wittaler [7]

m and 125º are supplementary angles:

m + 125º = 180º

m = 180º <span>– 125º

</span>m = 5<span>5º  <</span>——<span>—    this is the answer.


I hope this helps. =)

</span>
6 0
3 years ago
Read 2 more answers
Use the rule to find the naxt five terms in pattern: 10,18,26,34,......
Alinara [238K]
The rule seems to be to add 8. 10+8=18+8=26+8=34+8=42. I hope this helps!
3 0
3 years ago
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