All categories

3 years ago

I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.

Mathematics

1 answer:

stiv31 [10]3 years ago

5 0

Answer:

$\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}$

Step-by-step explanation:

The standardized cosine function is ;

$\mathbf{y = Acos (Bx + C) +D}$

Amplitude |A| = 2

Period $\dfrac{2 \pi}{B }= 4$

2π = 4B

$B = \dfrac{2 \pi}{4}$

$B = \dfrac{\pi}{2}$

Midline y = 4; D = 4

Phase shift; since no phase shift is given; then C = 0

The cosine function: $\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}$

You might be interested in

Jane moves from a house with 71 square feet of closet space to an apartment with 45.44 square feet of closet space. What is the

motikmotik

Answer:

45.44/71 - 1 = -0.36 = -36%

36% decrease.

7 0

3 years ago

If you travel at a rate of 45 miles per hour, how many minutes will it take you to travel 1 mile

gavmur [86]

1 minute and 15 seconds.

8 0

3 years ago

In a canoe race, team a is traveling 6 miles per hour and is 2 miles ahead of team

malfutka [58]

Given that <span>In a canoe race, team a is traveling 6 miles per hour and is 2 miles ahead of team b.

Team b is also traveling 6 miles per hour. The teams continue traveling at their current rates for the remainder of the race.

The system of linear equations that represents this situation is given by

d = 6t + 2
d = 6t
</span>

4 0

3 years ago

Read 2 more answers

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc

sveta [45]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is $\frac{2}{3}$ and her husband has not picked correct brand is also $\frac{2}{3}$ , since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$ .

4 0

3 years ago

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

6 0

3 years ago