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3 years ago

Write a cosine equation with period 8 and amplitude 2

1 answer:

8 0

Standard Equation for trig function: y = A cos (B (x - H))+ K
*Here, we are just dealing with A (amplitude) and B (period)
Period = 2π/ b

8 = 2π/ b
Solve for b: 2π/8 or π/4

Equation: y = 2 cos (π/4 (x))

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The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters

andrezito [222]

Answer:

120 words

Step-by-step explanation:

There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:

The number of 1 letter words is 3

The number of 2 letter words is 3² = 9

The number of 3 letter words is 3³ = 27

The number of 4 letter words is 3⁴ = 81

The total number of possible words is:

$3+9+27+81 = 120\ words$

This tribe's language has 120 words.

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3 years ago

What is the missing length????

ehidna [41]

The answer is B (20.2 ft)

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4 years ago

The image shows how methane is captured from landfills. Several countries would like to use this process to produce energy.

sleet_krkn [62]

Answer:

C) It helps reduce carbon dioxide emissions

Step-by-step explanation:

Methane being a vital greenhouse gas and produces 84 times more heat than carbon dioxide, its concentration varies across the seasons and can remain in the atmosphere for a period of 12 years.

Methane has the ability to stay in the atmosphere without the oxygen for a longer duration.

The gas can produce water vapor through the chemical reaction when it reaches the mesosphere and is most likely to produce clouds.

<u>The environmental benefits of this gas is that it can produce energy by mass and are more refined than oil and creates less pollution and pollutants.</u>

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4 years ago

In , there were immigrants admitted to a country. In 1960, the number was . a. Assuming that the change in immigration is lin

Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

The complete question is:

In 1960, there were 237,794 immigrants admitted to a country. In 2001, the number was 1,150,729.

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.

b. Use your result in part a to predict the number of immigrants admitted to the country in 2013.

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

a) From the question, we can get two ordered pairs which are $(t_1,y_1)=(60,237794)\ and\ (t_2,y_2)=(101,1150729)$

Using the equation of a line given two points:

$y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1)\\ \\y-237794=\frac{1150729-237794}{101-60}( t-60)\\\\y-237797=22266.71(t-60)\\\\y=22266.71t-1098205.44$

b) In 2013, t = 2013 - 1900 = 113.

Hence:

$y=22266.71t-1098205.44\\\\y=22266.71(113)-1098205.44\\\\y=1417932.488\\\\y=1417933$

$y=22266.71t-1098205.44\\\\the\ y\ intercept\ is\ at\ t=0,hence:\\\\y=22266.71(0)-1098205.44\\\\y=-1098205.44$

Since the y intercept is negative, that is in 1900 the number of immigrants was -1098206 which can not be possible. Hence this equation is not valid and the growth may or may not be linear.

7 0

4 years ago

When you have the number 81 as your median and you have to find the missing number out of the following 82,87,77,70,80,88

Natali5045456 [20]

Uh, so, you're median is 81 already.

Since the middle two numbers are 82 and 80, you have to add them together and then divide by 2.

However, if you're trying to add a number in, adding 81 as it is would work as well.

Hope this helps!

6 0

4 years ago