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Galina-37 [17]
2 years ago
7

How do I factor this? cos^4x - sin^4x

Mathematics
2 answers:
padilas [110]2 years ago
6 0

Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537

IgorLugansk [536]2 years ago
4 0

Answer:

Step-by-step explanation:

FYI,

a² - b² = (a + b)(a - b)

f(x) = cos^{4} x - sin^{4} x = (cos²x + sin²x)(cos²x - sin²x) =

= <em>(cos²x + sin²x)(cos x + sin x)(cos x - sin x)</em>

If you need to simplify, then

f(x) = 1 × (cos²x - sin²x) = <em>cos(2x)</em>

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What is the area of a square if the base is 4 m in the height is 4 m
iVinArrow [24]

Answer: the area is 16m

4x4=16m

6 0
3 years ago
Compare 24 greater than, less than, or equal to 4.256.
r-ruslan [8.4K]

Answer:

Greater than 4.256

Step-by-step explanation:

Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4

5 0
2 years ago
Read 2 more answers
if 18 horses finished a certain amount of corn in 64 days. 72 horses will finish the same quantity at the same rate?​
zaharov [31]

Answer:

It is 4

Step-by-step explanation: I know its four because 72 divided by 18 is four. I also know that 64 divided by 18 is 3.555 which is close to four.

5 0
3 years ago
) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?
eimsori [14]

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

Therefore,

y = 2.26x + 20.01

y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

8 0
3 years ago
A class at Middlebury school collected date on the types of movies students prefer. Complete each statement using the table.
likoan [24]

Based on the information of the table, you have:

1. The ratio is 105/150. By simplifying you get for the ratio 7/10.

2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:

165/420 = 11/28

3. The fraction of seventh graders students that prefer action movies is:

75/180 = 5/12

4. The percent of student that prefer comedy is:

105 + 150 = 255 total student that prefer comedy

420 total number of students

the fraction is:

(x/100)420 = 255

solve for x:

x = 255(100/420)

x = 60.71

the percent of students is 60.71%

5. The percent of eighth graders student who prefer action moveis is:

(x/100)240 = 90

x = 90(100/240)

x = 37.5

the percent of students is 37.5%

6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:

(x/100)180 = 75

x = 75(100/180)

x = 41.66

the percent of student is 41.66%

then, seventh grade has the greatest percent of student that prefer action movies.

4 0
1 year ago
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