Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Given: ∠CDE ≅ ∠CED, ∠A ≅ ∠B, Prove: DE ∥ AB

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept

slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4  

y = 4x+b

3=4(1)+b

3=4+b

-1 =b

y=4x-1

f(x)=4x-1     slope = 4

g(x)=2x -7    slope = 2

b) y intercept for f(x) is -1

and g(x) is -7

so f(x) is having greater y intercept

Answer:

25% increase. Hope this in helpful!!

Answer:

49,36,85

Step-by-step explanation:

c in step 4 comes from step 3... 49+36

a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54

Answer:

it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.

Answer:12

Step-by-step explanation:

18/6=3 cups in each box

3*2=6 cups broke=2 boxes

18-6=12 cups are unbroken

Answer:

1,5/3,3 that the answers

Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

76,922,200.00 RUB

Step-by-step explanation:

wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T

Answer:

[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]

Step-by-step explanation:

[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

m=-8/11

Step-by-step explanation:

[tex]\frac{Y2-Y1}{X2-X1} =\frac{y}{x}[/tex]

[tex]\frac{16-8}{9-20} =\frac{-8}{11}[/tex]

Answer:

x° = 42°

Step-by-step explanation:

x° = 180° - (70° + 68°) = 42°

Answer:

$45,337.5

Step-by-step explanation:

1. 2.5 * 5 = 12.5

2. $40,300 + 12.5%

Hope This Helps :)

Answer: irrational

Step-by-step explanation:

[tex]\sqrt{103}[/tex] is an irrational number because it is not a perfect square. Irrational numbers keep on terminating, so the answer to the question is irrational.

Hope this helps you!

Answer:

4

Step-by-step explanation:

3=1+1+1,

1+1+1+1=4 :p

Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

*plz brainlist

Answer:

b

Step-by-step explanation:

Answer:

First figure out how many cups are in a gallon. 16 .

Next multiply 16×3= 48

Finally you divide price per cup or 20.16/ 48.

The cost is .42 cents per cup.

Answer:

Step-by-step explanation:

A.

slope of f(x) remember that m=rise /run and see how you get from point (0,0) to (1,3) for example

m= rise 3/ run 1= 3

slope of g(x) you find by comparing it to y=mx+b wher m is slope and b is intercept so g(x) slope is m = 7

Slope of f(x) is 3 and slope of g(x) is 7 so g(x) go upward  faster.

B.

again compare g(x) =7x+2 with y=mx+b where b is the y-intercept

g(x) has y-intercept at (0,2)

we can see from the table that at x=0 the y-intecept is 0

f(x) has y-intercept at (0, 0)

g(x) has a greater y-intercept point

Answer: 325

Explanation:

Let the number of adult tickets be x

( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)

Let the number of student tickets be x+60

710=x+x+60

710=2x+60

 -60        -60

650=2x

650/2

= 325

Adult tickets=325

Student tickets=385

Answer:

I the answer is number 3

x(x-7)+4(x-7)

x²-7x + 4x-28

=x²-3x-28

(x+4)(x-7)

x²-7x+4x-28

=x²-3x-28

(x-7)(x+4)

x²+4x-7x-28

=x²-3x-28

x2 – 3x – 28

the factored form is

=(x+4)(x-7)

Answer:

6,7

Step-by-step explanation:

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

Answer:

$2,833.59

Step-by-step explanation:

1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00

2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00

3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00

4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00

5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00

Answer:

How do i take questions down like this one?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discount

Sale price

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

Answer (3dp):

107.058

Step-by-step explanation:

(image is explanation)