A plane is heading 25° west of south. How many degrees south of west is this plane flying?

Answers

Answer 1

Answer: 65 degrees should be your answer

Answer 2

Answer: Well there are 90 dehrees between due south and due west so add 25 degress to that and that should be your answer

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A quadratic equation is shown below:x2 − 14x + 41 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points)

A:Add 8 to both sides of the equation
B:Add 9 to both sides of the equation
C:Subtract 8 from both sides of the equation
D:Subtract 9 from both sides of the equation

Answers

Since the desired equation is a perfect square binomial, it is necessary to obtain a constant term (in the case of the given equation, 41) that is also a perfect square. To determine the perfect square needed, take the coefficient of the second term (14x) and divide it by two, then square it. It should yield "49". To obtain 49 as the constant term, we have to add 8 to both sides of the equation. Among the choices, the correct answer is A.

The first correct step to write the above equation in the form id to subtract 49 from both sides of the equation

Vertex form of an equation

The standard vertex form of an equation is expressed as:

a(x − p)² = q

Given the quadratic equation x^2 − 14x + 49 = 0

The first step is to subtract the constant of the expression from both sides as shown:

Subtract 49 from both sides of the equation to have:

x^2 − 14x + 49 = 0

x^2 − 14x + 49 - 49= 0 - 49

x^2 - 14x = -49

Hence the first correct step to write the above equation in the form id to subtract 49 from both sides of the equation

Learn more on vertex form here: brainly.com/question/17987697

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Christian signed up for a streaming music service that costs $10 per month. The service allows Christian to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Christian have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs? Cost for 10 songs: Cost for ss songs: attempt 1 out of 2 / problem 11 out of max 15 Tomeria Blythe Write Expression from Context (mx+b) Feb 25, 2:16:50 PM Watch help video Christian signed up for a streaming music service that costs $10 per month. The service allows Christian to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Christian have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer:

666

Step-by-step explanation:

a circular fountain has a radius of 9.4 ft find its circumstance to the nearest hundredth using pi over3

Answers

circumference= 2 * pi * radius (* means multiply) (where pi=3)
= 2*3*9.4
=56.4 (to nearest hundredth)

therefore the circumference of the circular fountain is 56.4 feet to the nearest hundredth.

What’s the slope pls answer quickk

Answers

Answer:

slope is -1

Step-by-step explanation:

The line is decreasing from left to right, so the slope is going to be negative. If you count down, then move to the right, you would get one down, one to the right continually.

Answer:

y=-1x-2

Step-by-step explanation:

Explain the derivation behind the derivative of sin(x) i.e. prove f'(sin(x)) = cos(x)How about cos(x) and tan(x)?

Answers

1.

$f'(\sin x) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\sin(x+h) - \sin(x))/(h) = \n \n = \lim_(h \to 0) (2 \sin( (x+h - x)/(2)) \cdot \cos( (x+h+x)/(2)) )/(h) = \lim_(h \to 0) (2 \sin( (h)/(2)) \cos( (2x+h)/(2) ) )/(h) = \n \n = \lim_(h \to 0) [ (\sin( (h)/(2)) )/( (h)/(2) ) \cdot \cos ((2x+h)/(2)) ] = \lim_(h \to 0) [1 \cdot \cos( (2x+h)/(2) ) ] =$

$= \cos( (2x)/(2)) = \boxed{\cos x}$

2.

$f'(\cos x) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\cos(x+h) - \cos(x))/(h) = \n \n = \lim_(h \to 0) (-2 \sin ( (x+h+x)/(2)) \cdot \sin ( (x+h-x)/(2)) )/(h) = \lim_(h \to 0) (-2 \sin ( (2x+h)/(2)) \cdot \sin ( (h)/(2)) )/(h) = \n \n = \lim_(h \to 0) (-2 \sin ( (2x+h)/(2)) )/(2) \cdot (sin( (h)/(2)) )/( (h)/(2) ) = \lim_(h \to 0) -\sin( (2x+h)/(2)) \cdot 1 =$

$= -\sin( (2x)/(2)) = \boxed{\sin x }$

3.

$f'(\tan) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\tan(x+h) - \tan(x))/(h) = \n \n = \lim_(h \to 0) ( (\sin(x+h-x))/(\cos(x+h) \cdot \cos(x)) )/(h) = \lim_(h \to 0) ( (\sin(h))/( (\cos(x+h-x) + \cos(x+h+x))/(2) ) )/(h) =$

$= \lim_(h \to 0) ( (\sin(h))/(\cos(h) + \cos(2x+h)) )/( (1)/(2)h ) = \lim_(h \to 0) (\sin(h))/( (1)/(2)h \cdot [\cos(h) + \cos(2x+h)] ) = \n \n = \lim_(h \to 0) (\sin(h))/(h) \cdot (1)/( (1)/(2) \cdot (\cos(h) + cos(2x+h) ) = 1 \cdot (1)/( (1)/(2) \cdot (1+ cos(2x) ) = (2)/(1 + 2 \cos^(2) - 1 ) = \n \n = (2)/(2 \cos^(2) x) = \boxed{ (1)/(\cos^(2)x) }$

4.

$f'(\cot) = \lim_(h \to 0) (f(x+h) - f(x))/(h) = \lim_(h \to 0) (\cot(x+h) - \cot(x))/(h) = \n \n = \lim_(h \to 0) ( (\sin(x - x - h))/(\sin (x+h) \cdot \sin (h)) )/(h) = \lim_(h \to 0) ( (\sin(-h) )/( (\cos(x+h-x) - \cos(x+h+x))/(2) ) )/(h) =$

$= \lim_(h \to 0) ( (-\sin(h))/(\cos(h) - \cos(2x+h)) )/( (1)/(2)h ) = \lim_(h \to 0) ( - \sin(h))/( (1)/(2)h \cdot [\cos(h) - \cos(2x+h)] ) = \n \n = \lim_(h \to 0) (- \sin (h))/(h) \cdot (1)/( (1)/(2) \cdot [\cos(h) - \cos(2x+h)] ) = -1 \cdot (2)/(1 - cos(2x)) = \n \n = - (2)/(1 -1 + 2 \sin^(2)x) = - (2)/(2 \sin^(2) x) = \boxed{- (1)/(\sin^(2) x) }$

I posted an image instead.

5. The cost of a notebook increased from $4.30 to $4.58, what is the percent increase?A 5.5%
C. 6.5%
B 6%
D. 7%

Answers

The answer is 6.5
Explanation : 1. Find out the increase number by subtracting 4.58 - 4.30 = 0.28 or 6.51%
2. Divide the increase number 0.28 by 4.30 and multiple by 100 which gives you 6.51162791 .
3. Get rid of all the numbers behind 5 and you can’t round it because 1 is too small. Which then gives you the answer 6.5 :) <3

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PLEASE HELP ME ASAP!