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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.

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The population of Maricopa County has been increasing for the past few decades. In 2016, the Maricopa County population is appro
maria [59]

Answer: 3,965,481

Step-by-step explanation:

Given:  In 2016, the Maricopa County population is approximately 3.817 million.

i.e. Initial population= 3.817 million =3,817,000

Of the population increases from the current population by 3.89 % over the next 5 years,

Population increased = 3.89% of 3,817,000

= 0.0389 (3817000)

= 148481.3 ≈ 148481

Population in 2021= 3,817,000 +148,481 =3,965,481

Hence, the population in 2021 =  3,965,481

3 0
3 years ago
Find the smallest multiple of 15 such that each digit of the multiple is either 0 or 4
SCORPION-xisa [38]
The answer is 4440.  You can determine this by using your rules of divisibility.  We know that is must end in a 0 or 5 to be divisible by 5 and that the sum of the digits must be divisible by 3 in order to divide by 3. One or two 4's together are not divisible by 3.  Three 4's are, but it must end in 0 to be divisible by 5 as well.


5 0
3 years ago
The formula for the area of a triangle is a =1/2bh in which b represents the length of the base Andy represents the height. If a
aleksandrvk [35]
A=1/2bh
Data:
a=192 mm²
h=12 mm


therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm

Answer: the measure of the base is 32 mm
4 0
3 years ago
Read 2 more answers
531 times what equals 5,310
Leya [2.2K]

Answer:

10

531 x 10 = 5,310

4 0
3 years ago
Read 2 more answers
Consider U = {x\x is a real number}
zysi [14]

Answer:

The fourth pair of statement is true.

9∈A, and 9∈B.

Step-by-step explanation:

Given that,

U={x|  x is real number}

A={x| x∈ U and x+2>10}

B={x| x∈ U and 2x>10}

  • 5 ∈ A , 5 ∈ B

If 5∈ A, Then it will be satisfies x+2>10 , but 5+2<10.

Similarly, If 5∈ B, Then it will be satisfies 2x>10 , but 2.5=10.

So, 5∉A, and 5∉B.

  • 6 ∈ A , 6 ∈ B

If 6∈ A, Then it will be satisfies x+2>10 , but 6+2<10.

Similarly, If 6∈ B, Then it will be satisfies 2x>10 , and 2.6=12>10.

So, 6∉A, and 6∈B.

  • 8 ∈ A , 8 ∈ B

If 8∈ A, Then it will be satisfies x+2>10 , but 8+2=10.

Similarly, If 8∈ B, Then it will be satisfies 2x>10.  2.8=16>10.

So, 8∉A, and 8∈B.

  • 9 ∈ A , 9 ∈ B

If 9∈ A, Then it will be satisfies x+2>10 , but 9+2=11>10.

Similarly, If 9∈ B, Then it will be satisfies 2x>10.  2.9=18>10.

So, 9∈A, and 9∈B.

3 0
3 years ago
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