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2 years ago

What is the domain of y = cos θ?

1 answer:

7 0

Domain are all the possible x values of a function. When you look at a cosine graph you can see that it goes on into infinity in the x or horizontal direction. This means that all x values are included in cosine. Because of this the domain is:

all real numbers

(-∞,∞)

^^^ It can be written both ways

Hope this helped! Let me know if there is anything else I can do!

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Over the last three evenings, Ashley received a total of 106 phone calls at the call center. The third evening, she received 2 t

V125BC [204]

Change X and Z. X is first evening
Y is second
Z is third evening

5 0

3 years ago

The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di

zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

F_(9) = 4

F_(10) = 0

F_(11) = 4

F_(12) = 4

F_(13) = 3

F_(14) = 2

F_(15) = 0

F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

6 0

2 years ago

Jack said “5 times my age in 2 years is 100.” How old is jack now.

omeli [17]

Answer:

Jack is 18 years old

Step-by-step explanation:

100:5=20

20-2=18

8 0

3 years ago

If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4 of the pan?

KATRIN_1 [288]

Answer:

$12

Step-by-step explanation:

We have to do this operation:

(16/4) x 3 = 4 x 3 = $12

5 0

2 years ago

Read 2 more answers

He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t

kiruha [24]

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

flight = 96.17 miles per hr

6 0

3 years ago