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Bas_tet [7]
3 years ago
6

Explain why the function y=1-cosx is an even function

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

A function is said to even if it returns the same output when given two opposite inputs:

f(x) = f(-x)

In your case, you have

f(x) = 1-\cos(x), \quad f(-x) = 1-\cos(-x)

And since \cos(x) = \cos(-x), the proof is concluded.

You might be interested in
An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 micros
iragen [17]

Answer:

a)  P (COO)  = 0,135

b) P ( SISI) = 0,00015

Step-by-step explanation:

a) the probability of an ion channel in open position is 50 %   0,5

   the probability of an ion channel in close position is 50 %   0,5

probability for the following sequence of states COO

to be closed   0,5    (C)

from (C) to pass to open  0,3  (O)

and to stay O  is 0,9

Then the probability of the sequence of states COO is

P (COO)  = 0,5 * 0,3 * 0,9  

P (COO)  = 0,135

b) If people are either infected or susceptible, then

Probability of an individual infected is  0,5

Probability of an individual susceptible  is 0,5

to pass from susceptible to infected is 0,05

to pass from infected to susceptible is 0,12

then

P ( SISI) = 0,5 * 0,05*0,12*0,05

P ( SISI) = 0,00015

probability for the following sequence of states COO

4 0
3 years ago
What is true about the complex number -5 - 5i?
Svetlanka [38]

Answer:

B: quadrant 3

D: 5sqrt2

Step-by-step explanation:

7 0
3 years ago
Can a linear function be continuous but not have a domain and range of all real numbers
ivolga24 [154]
"Mathematically yes - but from an engineering point no. And micro black holes are very unstable. They will evaporate extremely violently" hope this helps
4 0
3 years ago
Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​
jenyasd209 [6]

The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.

Radius of 1 sphere = 6.5 cm

We know that the volume of the sphere is given by 4/3 π r³

We will take the radius as 6.5 cm and π as 22/7

Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.

Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.

The radius of all the spheres are 46032.38 cubic cm.

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

The supplied point is the sphere's center, while the letter r stands for the sphere's radius which is half the diameter. The earliest known allusions to spheres are found in the works of two ancient Greek mathematicians.

Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .

Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​Find the total volume of water required.

To learn more about sphere visit:

brainly.com/question/9994313

#SPJ9

3 0
1 year ago
Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walter drove 480 miles on 32 gallons of gas. SHOW YOUR WORK.
Dovator [93]
Mrs. Walters : 360/25 = 14.4 miles per gallon
Mr. Walter : 480/32 = 15 miles per gallon

Mr. Walter is getting better mileage per gallon


6 0
3 years ago
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