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Firlakuza [10]
3 years ago
7

Please help!! In radians, what is the period of the function y = .5cos5x

Mathematics
1 answer:
Levart [38]3 years ago
5 0

Answer:

(2pi)/5

Step-by-step explanation:

The cosine function cos(x) has a period of 2*pi.

If we change the argument of the cosine, the new argument will have a period of 2*pi. If the new argument is 5x, we have that the period will be:

5x = 2*pi

x = 2*pi/5

The period of this function will be (2pi)/5, because for every (2pi)/5 change in the value of x, the function will have the same value. The value of 5 multiplying the cosine does not interfere in the period.

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What is the difference of (3/4x-2/3)-(-5/6-2x)
Alex Ar [27]
This equation is also equal to 3/4x - 2/3 + 5/6 + 2x since subtracting a negative is the same as adding a positive in the long run. First, simplify the variables to get 2 3/4x - 2/3 + 5/6. -2/3 is also equal to -4/6, so -4/6 + 5/6 is 1/6. The simplified version of this expression is 2 3/4x + 1/6. Hope this helps!
8 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
makkiz [27]

Answer:

9a + 6b and 5c - 3d

Step-by-step explanation:

(a)

4a + 7b + 5a - b ← collect like terms

= (4a + 5a) + (7b - b)

= 9a + 6b

(b)

6c + 4d - c - 7d ← collect like terms

= (6c - c) + (4d - 7d)

= 5c - 3d

3 0
3 years ago
Read 2 more answers
What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
3 years ago
What is the slope of the following equation? <br> y = 1/3x + 4
Alexxx [7]

Answer:

The slope is 1/3

Step-by-step explanation:

The equation is written in slope-intercept form. This is shown as y=mx+b where m is the slope and b is the y-intercept.

m is 1/3 because of this

Hope this made sense!

8 0
3 years ago
Help me<br><br><br><br> If x=1/2 and y=2/3 , find the value of xy+ (x+ y)
Dima020 [189]

Answer:

3/2

Step-by-step explanation:

7 0
2 years ago
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