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kotykmax [81]
3 years ago
11

PLEASE HELP!! THANK YOU!

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0
Recall that 2sinxcosx = sin2x.
Thus, sinxcosx = sin2x/2

So, \frac{sin2x}{2} = \frac{1}{4}
sin2x = \frac{1}{2}
2x = \frac{\pi}{6}, \frac{5\pi}{6}
x = \frac{\pi}{12}, \frac{5\pi}{12}

In general form:
x = \pi n + \frac{\pi}{12}
x = \pi n + \frac{5\pi}{12}
Korvikt [17]3 years ago
5 0
Answers A and C and correct for this equation. 
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How many solutions are there to the equation below?
Elodia [21]

Answer:

Đáp án B

Step-by-step explanat

B1:X ét VT=15x +35(1)

B2Xét VP thấy 15x +35 (2)

B3 KL

3 0
3 years ago
Complete the recursive formula of the geometric sequence 500, 200, 80, 32, ....
Ksju [112]

Answer:

times 0.4

Step-by-step explanation:

The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r

Here

r = \frac{200}{500} = \frac{2}{5} = 0.4

Thus the recursive formula is

c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence

8 0
3 years ago
A respiratory cycle is defined as the beginning of one breath to the beginning of the next breath. The rate of air intake r (in
Helen [10]

Answer:

a) t =  0,22  sec

b) 0.85 lts/sec

c) Interval for inhalation   [  0 < ( π/4.5 t)  ≤ π ]  

   Interval for exhalation   [  π < ( π/4.5 t ) ≤ 2π ]

Step-by-step explanation:

The respiratory cycle is approximated

r(t) = 0.85 sin (π/4,5t)

a) how long is the respiratory cicle.

As for problem statement a respiratory cicle is time between two consecutive breath

Then cycle will go from sin (π/4.5 t) =  0 to the position when sin (π/4.5 t) becomes negative that is when  sin (π/4.5 t) < 0  or just after   (π/4.5 t) is equal to  π , so

sin (π/4.5 t)  =  sin (π)  or     (π/4.5 t)  = π

solving for t       t  =  π /π*4,5

t  =  1/ 4,5  

t =  0,22  sec

b) The maximum rate of air intake is when sin( π/4.5 t) takes its maximum value which is 1.

maxmum rate of air intake is:   0.85 lts/sec

c) Interval for inhalation   [  0 < ( π/4.5 t)  ≤ π ]  

   Interval for exhalaton   [  π < ( π/4.5 t ) ≤ 2π ]

6 0
3 years ago
How much is 500 seconds?
navik [9.2K]
If I'm not mistaken I think that it is 8 minutes and 33 seconds
8 0
3 years ago
Read 2 more answers
13. What is the absolute value of -32?
kozerog [31]

Answer:

32

Step-by-step explanation:

Absolute value means takes the positive value

|-32| = 32

8 0
3 years ago
Read 2 more answers
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