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uysha [10]
3 years ago
12

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

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What is the range of the function y=2sin x
statuscvo [17]

take the absolute value of the coefficient (2)

 then the lower bound is the negative of that (-2)

so the range is [-2,2]


7 0
3 years ago
Read 2 more answers
Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe
Lapatulllka [165]
The slope is the rate
words per minute
we can do
540 words in 3 minutes
divide by 3
180 words in 1 minute

thea=180wpm
elanor=225wpm

elanor>thea

and 225*2=450


answers are
Thea reads 180 words per minute.

Eleanor reads 450 words every 2 minutes.

After 1 hour of reading, Eleanor reads more words than Thea.

6 0
3 years ago
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You start driving north for 12 miles, turn right, and drive east for another 16 miles. At
Oxana [17]

Answer:

A^2+B^2=C^2

Step-by-step explanation:

12=a

16=b

this is the pythagoreon theorem

4 0
3 years ago
Find the domain/range and equation
vichka [17]

Answer:

Domain = [1.5, 4.5]

Range  = [4, ∞)

Step-by-step explanation:

The domain of the graph are the values along the input variable x while the range are the values of the output variable y;

From the figure the domain values falls with the range [-1.5, -4.5] while the range are with thin the values [4, ∞)

6 0
3 years ago
3) The average age of students at XYZ University is 24 years with a standard deviation of 8 years. Number of students at the uni
otez555 [7]

Answer:

0.1875

Step-by-step explanation:

σM=σ/√N

=8/√7500

=8/86.608

=0.092

Z=(x-μ)/σ/√N

=(25.5-36)/8/√7500

=-10.5/0.0092=-1141.304

Z score = -1.3125

=(27-36)/8/√7500 =

=9/0.0092=978.261

Z score= -1.125

-1.125-(-1.3125)=-1.125+1.3125)= 0.1875

The probability that the sample mean will be between 25.5 and 27 years

P(between 25.5 and 27) = 0.1875

3 0
3 years ago
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