21.034.005.023 word form

Answers

Answer 1

Answer:

Answer:

twenty-one and thirty-four million five thousand twenty-three billionths

Step-by-step explanation:

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Ratio between 16 hours
and 2 days

Answers

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

Answer:

1:3

Step-by-step explanation:

16 hours:2 days

2 days = 48 hours

16:48

48/16=3

1:3

Find the geometric mean of 5 and 125.

Answers

$geometric \ mean \ of \ two \ numbers \ a \ and \ b \ is :\ √(a \cdot b) \n \na=5 , \ b = 125 \n \n √(5 \cdot 125)=√(625)=√(25 \cdot 25)=25$

$the\ geometric\ mean= √(5\cdot125) = √(625) = √(25^2)= 25$

f (x), has (x-7) and (x+4i) as factors. F(X)=2x^5-13x^4+22x^3-187x^2-160x+336 what is the total number of real numbers of real zeros of f(X)

Answers

Answer: 3

Step-by-step explanation:

(x + 4i) is a root which means its conjugate (x - 4i) is also a root

(x + 4i)(x - 4i) = x² + 16

Use Long Division for 2x⁵ - 13x⁴ + 22x³ - 187x² - 160x + 336 ÷ x² + 16

2x³ - 13x² - 10x + 21

x² + 16 ) 2x⁵ - 13x⁴ + 22x³ - 187x² - 160x + 336

- (2x⁵ + 0x⁴ + 32x³) ↓ ↓ ↓

-13x⁴ - 10x³ - 187x² ↓ ↓

- (-13x⁴ +0x³ - 208x²) ↓ ↓

-10x³ + 21x² - 160x ↓

- (-10x³ + 0x² - 160x) ↓

21x² + 0x + 336

- (21x² + 0x + 336)

Use Synthetic Division to divide (x - 7) by the reduced polynomial (2x³ - 13x² - 10x + 21)

7 | 2 -13 -10 21

| ↓ 14 7 -21

2 1 -3 0 ← remainder is 0

Use grouping to factor the reduced polynomial (2x² + x - 3)

2x² - 2x + 3x - 3

= 2x(x - 1) +1(x - 1)

= (2x + 1)(x - 1)

The factors are: (x - 7) (2x + 1) (x - 1) (x + 4i) (x - 4i)

The first 3 are real roots and the last 2 are complex roots

The zeros of a polynomial function are the factors of the function.

The number of real zeros of f(x) is 3

The function is given as:

$f(x) = 2x^5-13x^4+22x^3-187x^2-160x+336$

Two of the factors are given as:

x - 7 ad x + 4i

The factor x + 4i is a complex factor.

If a polynomial function has a complex factor, then the conjugate of the complex factor is also a factor of the polynomial.

This means that f(x) has 2 complex factors

The degree of the polynomial is 5.

So, the number (r) of real zeros is the difference between the degree of the polynomial and the number of complex factors.

This gives

$r = 5 -2$

$r = 3$

Hence, the number of real zeros of f(x) is 3

Read more about zeros of polynomials at:

brainly.com/question/3331729

The are of a square is 36w^2 +60w + 25. what the side length of the square?

Answers

I hope this helps you

The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answers to the nearest cent.P=$180, r=3%, t= 2 years

Answers

Y= (180(1+.03)^2)-180

A car rental agency charges a weekly rate of $300 for a car and anadditional charge of 5 cents for each mile driven. How much miles can
you travel in a week for $500?
5,000 miles
3,000 miles
3,500 miles
5
4,000 miles
3
4,500 miles

Answers

Answer:

4,000

Step-by-step explanation:

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For f(x)= 2x-5 and g(x)= 3-x , find (f (times) g)(-2)