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Tcecarenko [31]
3 years ago
12

Need math help please get back to me soon

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

Option C.

Step-by-step explanation:

By definition, a function f(x) is even if f(-x) =  f(x).

We know by definition that the function sin(x) is odd and the function cos(x) is even.

With this information we can analyze each function and find out which is even.

A. The first function is not even because 5sin(x) is an odd function.

B. The second function is not even because 2tan(x) is not an even function.

C. The third function is even, because -cos(x) and 3cos^2(3x) are even functions.

f(-x) = 3cos^2(3(-x)) - cos(-x) = 3cos^2(3(x)) - cos(x) = f(x)

D. The fourth function is not even because csc(x) is not an even function.

The correct answer is the option C.

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kvasek [131]
I think that answer would be C
5 0
3 years ago
Study the proof given.
sergey [27]
2. Definition of midpoint
3. Given
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3 years ago
For the geometric sequence of a1=2 and r=2 find a5
Brrunno [24]

Answer:

a_5 = 32

Step-by-step explanation:

The nth term for the geometric sequence is given by:

a_n = a_1 \cdot r^{n-1}

where,

a_1 is the first term

r is the common ratio

n is the number of terms.

As per the statement:

For the geometric sequence of a_1=2 and r=2

We have to find a_5

for n = 5;

a_5=a_1 \cdot r^{n-1}

Substitute the given values we have;

a_5 = 2 \cdot 2^4 = 2 \cdot 16

⇒a_5 = 32

Therefore, the value of a_5 is, 32

3 0
4 years ago
What is the range of the function y = e Superscript 4 x
Alborosie

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function,  you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

Have a great day dude

3 0
3 years ago
Read 2 more answers
Company has 189 employees that share an office that has 32 floors. If they built another building for 50 employees, how high sho
iris [78.8K]

Answer:

8 floors

Step-by-step explanation:

The number of employees is directly proportional to the number of floors that each building has.

The first building has 32 floors and it occupies 189 employees. Therefore:

189 α 32

=> 189 = k * 32 = 32k

where k = constant of proportionality

=> k = 189/32

The new building has 50 employees, therefore:

50 = kN

where N = number of floors

=> 50 = 189/32 * N

N = (50 * 32) / 189 ≅ 8 floors

The new building should have 8 floors

5 0
3 years ago
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