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d1i1m1o1n [39]
3 years ago
7

How does the frequency of f(x) = cos(2x) relate to the frequency of the parent function cos x?

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

The frequency of f(x) is two times the frequency of the parent function.

Step-by-step explanation:

We can say that the number that is beside the x is equal to 2\pi *f, where f is the frequency.

Then, for the parent function, we get:

1 = 2\pi f_1

or solving for f_1:

f_1=\frac{1}{2\pi }

At the same way, for f(x), we get:

2=2\pi f_2\\f_2=2(\frac{1}{2\pi })

But \frac{1}{2\pi } is equal to f_1, so we can write the last equation as:

f_2=2f_1

It means that the frequency of f(x) is two times the frequency of the parent function.

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ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?
s2008m [1.1K]

Start with an equation summing all the angles in this triangle:

180 = <M + <N + <P

we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So

180 = 2<M + <N

180 = 2(3x+1) + x-11

180 = 7x - 9

x = 27

<P = 3*27+1 = 82 degrees

4 0
3 years ago
(a−2b)3 when a=−4 and b=−1/2
Vikentia [17]

Answer:

-9

Step-by-step explanation:

(-4-2*-1/2)3

(-4+1)3

-3*3

-9

3 0
2 years ago
Read 2 more answers
Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu
lana [24]

Answers :

  1. (A) 18.33%
  2. (B) 21.65%
  3. (C) about 173.33
  4. (D) i really have no way of finding the angles for you, you could try to find them yourself; or maybe just leave it blank?
<h3>OK, so judging from the bar shown : </h3>

It looks like <u>Rent</u> takes up 1/3 of the space so 33.33..%

It also looks like <u>Loan Repayment</u> + <u>Savings</u> is another 33.33..% but Savings is slightly larger than Loan Repayment so you could just estimate Savings to be 55% and LR to be 45% of the 1/3 space.

  • 55% of 33.33.. = 18.33%
  • 45% of 33.33.. = 14.99%

LR looks equal to <u>Entertainment</u> making it another <u>14.99.</u>

It also looks like Entertainment + Electricity + Groceries = the last 33.33..%

And since we know <u>Entertainment</u> = 14.99 / 45% of 33.33..

Making <u>Electricity and Water</u> <em>ABOUT</em>  35% of 33.33... which is <u>11.66</u>

And Groceries is somehow 20% of 33.33 = <u>6.66</u>

  • Rent = 33.33..%
  • Savings = 18.33%
  • Loan Repayment 14.99%
  • Entertainment 14.99%
  • Electricity and Water 11.66%
  • Groceries = 6.66%
<h3>All of these added together equal <u><em>ABOUT</em></u> 100%</h3>

4 0
3 years ago
HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.
Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

so

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

r=\sqrt{(0+4)^{2}+(0+3)^{2}}

r=\sqrt{(4)^{2}+(3)^{2}}

r=\sqrt{25}

r=5\ units

step 2

Find the equation of the circle

(x-h)^{2}+(y-k)^{2}=r^{2}

the center is the point (-3,-4) and the radius is r=5 units

substitute

(x+3)^{2}+(y+4)^{2}=5^{2}

(x+3)^{2}+(y+4)^{2}=25

6 0
2 years ago
Solve for m <br> m+7=3+m+4
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The answer is no solution
6 0
3 years ago
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