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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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Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????
andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

Saving=25\%\text{ of }200

Saving=\dfrac{25}{100}\times 200

Saving=25\times 2

Saving=50

Therefore, the money saved by Katherine is $50.

6 0
3 years ago
Which data set contains an outlier?
Paul [167]

Answer: the first one

Step-by-step explanation: the number is 42 45 45 46 and 48 are all close together while the number 16 is off to the whole other side

3 0
1 year ago
Read 2 more answers
What’s the answer to 6x + 3y =
Alex73 [517]

Answer:

The last answer; 12.

Step-by-step explanation:

In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:

6x+3(-2x+4)=?

Then simplify:

6x-6x+12=?

Since 6x - 6x cancels out, you are left with 12.

?=12\\


4 0
3 years ago
Read 2 more answers
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th
Serggg [28]

Answer:

The weighted average is of 69.94.

Step-by-step explanation:

Weighted average:

The weighed average is found multiplying each grade by its respective weight.

The grades, and weights are:

67 on the lab, with a weight of 23% = 0.23

69 on the first major test, with a weight is 21.5% = 0.215

85 on the second major test, with a weight is 21.5% = 0.215.

63 on the final exam, with a weight of 34% = 0.34.

Weighted average:

A = 0.23*67 + 0.215*69 + 0.215*85 + 0.34*63 = 69.94

The weighted average is of 69.94.

8 0
3 years ago
6x + 5y = 147<br> 8x + 4y = 156
satela [25.4K]

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

3 0
3 years ago
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