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alexandr1967 [171]
1 year ago
13

The graph of y=kcos(8x)

Mathematics
1 answer:
Firdavs [7]1 year ago
3 0

The x coordinate of point A that is shown on the graph is 3π/16.

<h3>How to explain the graph?</h3>

From the information given, y = kcos(8x). Also, the axis of symmetry is given as kx.

Therefore, the x coordinate will be:

= π/8 + π/16

The LCM of 8 as 16 is 16.

= 2π/16 + π/16

= 3π/16

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
A bicycle computer or cyclometer uses a magnet counter that records each wheel rotation to calculate the bike’s total distance t
CaHeK987 [17]

The simplest and probably the best way to understand this problem is to make up a problem that obeys what you have been given. It doesn't have to be realistic. It just has to obey the conditions. Let us suppose that you thought the diameter of the tire is 1 yard. That would mean the circumfrence is pi * d

C = 3.14 * 1

That would mean that the circumference is 3.14 yards. It would also mean that you would have to have the wheel turn 1760 yards / /3.14 yards / revolution which is about 561 revolutions / mile. So the way I have set up the problem, my equation is d = 561 * R where R is the number of revolutions.

Now let's see what happens when you say "O my Goodness, the wheel diameter is really 32 inches" which 0.8888888 yards  what happens now?

Now you still have to go 1760 yards How many revolutions is that?

C = pi * d

C = 3.14 * 0.88888888

C = 2.79111 yards

How many revolutions does it take to 1760 yards.

R = 1760 // 2.78111 yards / revolution

R = 631 revolutions / mile. What happened?

Your constant goes up if the wheel diameter goes down. Think about this. Do you ride a bicycle? I do. It makes perfect sense to me that if the wheel is small, it will have to turn more often to go a mile. No matter where that 0.00125 comes from or how it was derived, the constant will have to go up if the wheel gets smaller.


6 0
3 years ago
Which relation is a function?
Alexeev081 [22]
Last on - I think
{0,-9), (-9,0), (-3,-3)}
4 0
3 years ago
Read 2 more answers
A student claims that the rectangular point below can be represented by the
Sladkaya [172]

Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number.  I like writing polar coordinates with a P in front to remind me.

It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.

P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )

P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )

That's true since when we add pi to an angle it negates both the sine and the cosine,

cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)

sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)

Answer: TRUE

3 0
3 years ago
A rental car company charges $42.72 per day to rent a car and $0.10 for every mile driven. Zoey wants to rent a car, knowing tha
Colt1911 [192]

Answer:

7 Days

Step-by-step explanation:

Miles cost:

$0.10 * 200 = $20


Daily Cost

Her budget at this point is $330 because $350 - $20 (the miles)

$330 / 42.72  = Roughly 7.72

Therefore Zoey can drive for 7 days before her budget runs out.

6 0
3 years ago
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