What degree measure is equivalent to -4pie over 9

Answers

Answer 1

Answer: anyway
2pi radians=360
so
-4pi/9radians=xdegrees

2pi/360=-4pi/9r/x
times both sides by 360x
2xpi=-1440pi/9
2xpi=-160pi
divide both sides by 2pi
x=-80
80 degres

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Carlos is walking on a moving walkway. His speed is given by the function C(x) = 3 x 2 + 3x - 4, and the speed of the walkway is W(x) = x 2 - 4x + 7. 20. What is his total speed as he walks along the moving walkway? 21. Carlos turned around because he left his cell phone at a restaurant. What was his speed as he walked against the moving walkway?
A quadrilateral ___________ has one pair of parallel sidesalways sometimes never inconclusive
Which statement is true about 143? A. It is a prime number. B. It is a composite number. C. It is a whole number that is neither prime nor composite. D. It is not a whole number.
Does anyone know this

Complex numbers kkkkkkkkkkkkk

Answers

Answer:

1-7i

17i

Step-by-step explanation:

7-5i-6-2i=1-7i

1+9i-1+8i=17i

3i+14-3i=14

If f(x)=log2(x+4), what is f^-1(3)?

Answers

$f\left( x \right) =\log _( 2 ){ \left( x+4 \right) } \n \n \log _( 2 ){ \left( x+4 \right) } =y\n \n { 2 }^( y )=x+4$

$\n \n x={ 2 }^( y )-4\n \n \therefore \quad { f }^( -1 )\left( x \right) ={ 2 }^( x )-4\n \n \therefore \quad { f }^( -1 )\left( 3 \right) ={ 2 }^( 3 )-4=4$

The value of f^-1(3) is 4

What are inverse functions?

The inverse of a function f(x) is the opposite of the function

How to determine the inverse function?

The functionf(x)is given as:

$f(x) = log_2(x + 4)$

Express f(x) as y

$y = log_2(x + 4)$

Swap the positionsof x and y

$x = log_2(y + 4)$

Express as exponents

$2^x = y + 4$

Make y the subject

$y = 2^x - 4$

Express the equationsas an inverse function

$f^(-1)(x) = 2^x - 4$

Substitute 3 for x in the above equation

$f^(-1)(3) = 2^3 - 4$

Evaluate

$f^(-1)(3) = 4$

Hence, the value of f^-1(3) is 4

Read more about inverse functions at:

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Please help, thank you!Match the sequence and recursive expression to its explicit expression. f(n) = 2n + 10

{2, 4, 6, 8...} ...} f(1) = 2 and f(n) = f(n - 1) + 2 for n >

{12, 14, 16, 18...} f(1) = 12 and f(n) = f(n - 1) + 2 for n > 1

Answers

Given:

$f(n)=2n+10$

To find:

The sequence and recursive expression to the given explicit expression.

Solution:

We have,

$f(n)=2n+10$

For n=1,

$f(1)=2(1)+10$

$f(1)=2+10$

$f(1)=12$

The value of f(1) is 12.

Similarly,

For n=2,

$f(2)=2(2)+10=14$

For n=3,

$f(3)=2(3)+10=16$

For n=4,

$f(2)=2(4)+10=18$

The required sequence is {12,14,16,18,...}.

The recursive expression of an AP is

$f(n)=f(n-1)+d$

where, d is common difference.

Here d=2,

$f(n)=f(n-1)+2$

Therefore, the recursive expression is $f(n)=f(n-1)+2$ .

Jenny is building a rectangular garden around a tree in her yard. the southwest corner of the garden will be 2 feet south and 3 feet west of the tree. the northeast corner of the garden is 1 foot north and 4 feet east of the tree. what will be the perimeter of jenny's garden?a. 10 ft
b. 20 ft
c. 21 ft
d. 25 ft

Answers

The perimeter of Jenny's garden is 20 feet.

Given that, the southwest corner of the garden will be 2 feet south and 3 feet west of the tree. the northeast corner of the garden is 1 foot north and 4 feet east of the tree.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Now, perimeter=2(2+3+1+4)

=20 feet

Therefore, the perimeter of Jenny's garden is 20 feet.

To learn more about the perimeter of a rectangle visit:

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3 feet west + 4 feet east means that the length of the rectangle is 7
2 feet south and 1 foot north means that the height (or width) 3.
Since the rectangle is 3 ft by 7ft the total distance around (perimeter) is 2 (l+w) or in this case 2 (7 +3) = 2 (10) = 20 ft Answer b
Drawing a picture helps.

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.the set of tree heights and the set of trees in a forest
the set of car make and models and the set of people in a certain town
the set of birthdays and the set of students in a class
the set of people with Social Security cards and the set of Social Security numbers

Answers

Answer:

The scenario that exhibits a function relation is:

The set of people with Social Security cards and the set of Social Security numbers.

Step-by-step explanation:

We know that a function is a relation in which each element of first set has one image i.e. an element can't be mapped to two distinct elements of the other set.

The set of tree heights and the set of trees in a forest.

This relation is not a function.

Since, two trees may have a same height.

The set of car make and models and the set of people in a certain town.

This relation is also not a function.

Since, two people may have a car of same model.

The set of birthdays and the set of students in a class

This relation is not a function since two students may share same birthday.

The set of people with Social Security cards and the set of Social Security numbers.

This relation is a function.

Since, the security card number has a unique number on each car.

This means that each person has a unique card number.

The set of people with social security cards and the set of social cecurity numbers

N=480×10^9
Write N as a product of powers of its prime factors.

Answers

N = 5^(10) × 2^(14) × 3

This is about prime factors

By definition, a prime factor is a factor of a number and that factor is also a prime number.

A prime number is one that is divisible by only itself and 1.

The number we have is; 480 × 10^(9)

Now, let's list the prime factors or 480 and they are;

2, 3, 5

Now, using these prime factors alone to get 480, we have;

5 × 3 × 2 × 2 × 2 × 2 × 2 = 480

In powers, gives;

5 × 3 × 2^(5)

Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;

(5 × 2)^(9)

Expanding this gives; 5^(9) × 2^(9) = 10^(9)

Thus;

480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)

This gives;

5^(10) × 2^(14) × 3

Read more at; brainly.com/question/4853862

Answer:

I got 5^10 x 2^14 x 3

Step-by-step explanation:

1. Do a tree to find 480 as a product of its prime factors

2. You should get 480= 5x2x3x2x2x2x2

3. 10 expressed as a product of its prime factors is 5x2

4. so 10^9 expressed as a product of its prime factors would be

5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2

5. You can then write out 480x10^9 as a product of its prime factors

5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2

6. change this to use powers

5^10 x 2^14 x 3

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