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olchik [2.2K]
3 years ago
9

1/6 _________1/4 greater than less than

Mathematics
2 answers:
Eva8 [605]3 years ago
6 0

Answer:

1/4 > 1/6

Step-by-step explanation:

1/6 = 4/24

1/4 = 6/24

6/24 > 4/24 => 1/4 > 1/6

irga5000 [103]3 years ago
5 0

Answer:

1/6<1/4

Step-by-step explanation:

1/4 is .25 and is 0.166666667

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Find all the solutions in there interval (0,2pi) for cos5x=-1/2
oee [108]

Answer:

\frac{2\pi}{15},\frac{4\pi}{15},\frac{8\pi}{15},\frac{2\pi}{3},\frac{14\pi}{15}, \frac{16\pi}{15}, \frac{4\pi}{3},\frac{22\pi}{15}, \frac{26\pi}{15}, \frac{28\pi}{15}

Step-by-step explanation:

Solving trigonometric equations.

We are given a condition and we must find all angles who meet it in the provided interval. Our equation is

cos5x=-\frac{1}{2}

Solving for 5x:

5x=\frac{2\pi}{3}+2n\pi

5x=\frac{4\pi}{3}+2n\pi

The values for x will be

x=\frac{\frac{2\pi}{3}+2n\pi}{5}

x=\frac{\frac{4\pi}{3}+2n\pi}{5}

To find all the solutions, we'll give n values of 0, 1, 2,... until x stops belonging to the interval (0,2\pi)

For n=0

x=\frac{\frac{2\pi}{3}}{5}=\frac{2\pi}{15}

x=\frac{\frac{4\pi}{3}}{5}=\frac{4\pi}{15}

For n=1

x=\frac{\frac{2\pi}{3}+2\pi}{5}=\frac{8\pi}{15}

x=\frac{\frac{4\pi}{3}+2\pi}{5}=\frac{2\pi}{3}

For n=2

x=\frac{\frac{2\pi}{3}+4\pi}{5}=\frac{14\pi}{15}

x=\frac{\frac{4\pi}{3}+4\pi}{5}=\frac{16\pi}{15}

For n=3

x=\frac{\frac{2\pi}{3}+6\pi}{5}=\frac{4\pi}{3}

x=\frac{\frac{4\pi}{3}+6\pi}{5}=\frac{22\pi}{15}

For n=4

x=\frac{\frac{2\pi}{3}+8\pi}{5}=\frac{26\pi}{15}

x=\frac{\frac{4\pi}{3}+8\pi}{5}=\frac{28\pi}{15}

For n=5 we would find values such as  

x=\frac{\frac{2\pi}{3}+10\pi}{5}=\frac{32\pi}{15}

x=\frac{\frac{4\pi}{3}+10\pi}{5}=\frac{34\pi}{15}

which don't lie in the interval (0,2\pi)

The whole set of results is

\frac{2\pi}{15},\frac{4\pi}{15},\frac{8\pi}{15},\frac{2\pi}{3},\frac{14\pi}{15}, \frac{16\pi}{15}, \frac{4\pi}{3},\frac{22\pi}{15}, \frac{26\pi}{15}, \frac{28\pi}{15}

6 0
3 years ago
some say that to brew an excellent cup of coffee, you must have a brewing temperature off 200 degrees, plus or minus five degree
ASHA 777 [7]
Your equation for the maximum brewing temperature should be x = 200 + 5 because according to your word problem, the temp. can be five degrees above 200 degrees. 

x = 200 + 5 
x = 205

Your equation for the minimum brewing temperature should be x = 200 - 5 because according to your word problem, the temp. can be five degrees below 200 degrees.

x = 200 - 5
x = 195


8 0
3 years ago
What is the value of f^-1(0)?<br><br><br><br> Please help! It’ll be greatly appreciated!
Leya [2.2K]

Answer:

f^{-1}(0)=6

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

f^{-1}(0)

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

f^{-1}(0)=y

This means that we have the point:

(0,y)

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

(x,0)

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

f(6)=0

So:

f^{-1}(0)=6

And we're done!

4 0
3 years ago
Who is the volume of a sphere that has the radius of 3 inches
Taya2010 [7]

Answer:

113.1

Step-by-step explanation:

i just did the math

7 0
3 years ago
Read 2 more answers
X-7;x=23 what is anwer to this problem
Papessa [141]

The answer is 16, all you must do is substitute x with the given value then solve, so 23-7

6 0
3 years ago
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