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4 years ago

Which of the functions have period pi?

Mathematics

1 answer:

Stels [109]4 years ago

8 0

ANSWER

A.) y = tan x

C.) y = cot x

EXPLANATION

The period refers to the interval over which the graph completes one cycle

The trigonometric functions

$y = \tan(x)$

and

$y = \cot(x)$

are reciprocals of each other.

They have the same period, which is π

Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.

They have periods of 2π

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Cat being neutred. What age should a cat be neutred? Cuz my cat is on the verge of getting one.. Please help me!

e-lub [12.9K]

for cats: it is generally considered safe for kittens as young as eight weeks old to be spayed or neutered. in animal shelters, surgery is often performed at this time so that kittens can be sterilized prior to adoption.

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6 0

3 years ago

Read 2 more answers

Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w

babunello [35]

Answer:

$\boxed{43}$

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by

4 leave 3 (4n + 3)
5 leave 3 (5n + 3)
6 leave 1 (6n + 1)

Here is a list of multiples of the integer n that satisfy the three conditions. $\begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}$

Check:

$43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1$

OK .

6 0

3 years ago

Which of the sets of ordered pairs represents a function? A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3),

jek_recluse [69]

Answer:

Neither A or B

Step-by-step explanation:

Hello There!

In order for a set of ordered pairs to represent a function none of the x values can repeat

In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function

In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function

so we can conclude that neither set of ordered pairs represent a function

7 0

3 years ago

Given x² - 16x + 4 = 0:

arsen [322]

PART A
General formula of quadratic equation
ax² + bx + c = 0
To find the discriminant of the quadratic equation shown above, use this following formula.
d = $\sqrt{b^{2}-4ac}$

There is a quadratic equation below
x² - 16x + 4 = 0
therefore
a = 1
b = -16
c = 4

Plug in the numbers to the formula
d = $\sqrt{b^{2}-4ac}$
d = $\sqrt{(-16)^{2}-4(1)(4)}$
d = $\sqrt{(256-16}$
d = $\sqrt{240}$

Simplify
d = $\sqrt{16*15}$
d = $4 \sqrt{15}$
The value of the discriminant is 4√15

PART B
If the discriminant is less than zero (negative), the quadratic equation has imaginary solution.
If the discriminant is equal to zero, the quadratic equation has only one solution.
If the discriminant is more than zero (positive), the quadratic equation has two real solutions.

Because the discriminant of the quadratic equation is 4√15 and it's positive, <u>the quadratic equation has two real solutions.</u>

4 0

4 years ago

The municipal swimming pool in Charlotte North Carolina has a three different ways of paying for individual open swimming. Nick

bija089 [108]

Answer:

1. a Early Pay: y = 45

b. Deposit Plus: y = 12.00 + 4.00x

c. Daily Pay: y = 6.00x

2. Early pay = $25

Deposit Plus = 12.00 + 4.00(4) = 12.00 + 16.00 = $28.00

Daily Pay = 6.00(4) = $24.00

Daily Pay is the cheapest one.

3. Early Pay = $45

Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00

Daily Pay = 6.00(8) = $48.00

Deposit Plus is the cheapest one.

4. Early Pay = $45

Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00

Daily Pay = 6.00(12) = $72.00

Early Pay is the cheapest one.

5. Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.

Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.

Step-by-step explanation:

6 0

3 years ago