MATHEMATICS HIGH SCHOOL

Which of the functions below have period 2pi? Check all that apply. A. y = tan x B. y = sec x C. y = cot x D. y = csc x

Answers

Answer 1

Answer:

Answer:

Option B and D are correct that is $y=secx$ and $y=cscx$ respectively.

Step-by-step explanation:

We have been given four functions:

CaseA:

$y=tanx$

$\text{Period oftanx is} \pi$

Hence, A is correct.

CaseB:

$y=secx$

$\text{Period of secx is} 2\pi$

Hence, B is correct.

CaseC:

$y=cotx$

$\text{Period of cotx is} \pi$

Hence, C is not correct.

CaseD:

$y=cscx$

$\text{Period of cscx is} 2\pi$

Hence, D is correct.

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Help please thank you. first answer choice is yes or no. other answer choices are: 3 4 5 6

5^3x=27, what is the value of 5^2x?

Answers

$5^(3x)=27\n\n\left(5^x\right)^3=3^3\iff5^x=3\n\n\left(5^x\right)^2=3^2\n\n5^(2x)=9$

$5^(3x)=27\n 5^x=3\n 5^(2x)=3^2=9$

3a² . 2a³ find the product

Answers

Answer:

$6a^(5)$ .

Step-by-step explanation:

To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:

3 · 2 = 6.

When multiplying exponents, however, remember that you must ADD the exponents. Therefore:

3a² · 2a³ = $6a^(5)$

Final answer:

The product of 3a² and 2a³ is found by multiplying the coefficients (the numbers in front of 'a') and adding the exponents for 'a'. The result is 6a⁵.

Explanation:

To find the product of 3a² and 2a³, first you multiply the numerical coefficients and then you add the exponents of 'a'. The numerical coefficient for the first expression is 3 and for the second expression it's 2, multiplying these together we get 6. For the powers of 'a', since both 'a' terms in the two expressions are raised to powers (2 and 3), you add these powers together when multiplying, thus a² * a³ = a⁵. So the final answer is 6a⁵.

Learn more about Exponent rules here:

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Which one is greater 2.857 or 2.87

Answers

Answer:

2.87

Step-by-step explanation:

A dollhouse has a bed with dimensions 1/12 the size of a queen-size bed. A queen-size bed has an area of 4,800 square inches, and a length of 80 inches. What are the side lengths of the dollhouse bed?

Answers

You could divide 4,800 by 80 to Find the answer. That will be 6 i think

Hi There! :P

Yeah the CORRECT answer would be 5 by 6.67 inches! :)

Standard form of 1.05 x10^6

Answers

1.05_-_-_-_ < add 0

1,050,000

What is the solution of the system? Use elimination. 5x – y = 20
2x + y = 15
A) (5, 5)
B) (7, 35)
C) (7, 0)
D) (5, -5)

Answers

(5, 5) is the solution of the system 5x – y = 20 and 2x + y = 15

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are

5x – y = 20

2x + y = 15

______________

7x=35

Divide both sides by 7

x=5

Now plug in value 5(5)-y=20

25-y=20

Subtract 20 on both sides

25-20=y

5=y

Hence, (5, 5) is the solution of the system 5x – y = 20 and 2x + y = 15

To learn more on Equation:

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{ 5 x - y = 20
2 x + y = 15
_____________
7 x = 35

x = 35 / 7

x = 5

For y :

2 x + y = 15

2*(5) + y = 15

10 + y = 15

y = 15 - 10

y = 5

Answer A ( 5,5 )

hope this helps!

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