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Zigmanuir [339]
4 years ago
7

What is the next term in the sequence? 1/2,2/6,3/18,4/54

Mathematics
1 answer:
Anni [7]4 years ago
6 0
The next sequence is 5/162.
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Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180
Oduvanchick [21]
<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

4 + 2 sin(x)= 14-8 sin(x)

<h3>2. Subtract "4" from both sides of the equation.</h3>

-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10

<h3>4. Divide both sides by 10.</h3>

\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

arcsin(sin(x))=arcsin(1)\\ \\x=90

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

3 0
2 years ago
Arithmetic of Functions problem.
lidiya [134]

Answer:

(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x²-5

(f o g)(4)=?

(f o g)(4) = f(g(4))


Calculating g(4):

x=4→g(4)=4²-5

g(4)=16-5

g(4)=11


Replacing g(4)=11

(f o g)(4) = f(g(4))

(f o g)(4) = f(11)


Calculating f(11)

x=11→f(11)=4(11)+1

f(11)=44+1

f(11)=45


Replacing f(11)=45:

(f o g)(4) = f(11)

(f o g)(4) = 45

4 0
4 years ago
Read 2 more answers
It is monday. : there is chicken for lunch. write the inverse in if-then form. if it is monday, then there is chicken for lunch.
ololo11 [35]
If Monday, then Chicken
If no Chicken, then no Monday
3 0
4 years ago
Read 2 more answers
A certain circle can be represented by the following question
Alex_Xolod [135]
Mc hammer decided by fast
4 0
3 years ago
X -5 -4 -3 -2 -1 0 1 2 3 f(x) -11 -3 5 13 21 29 37 45 53 (a) Determine the difference of outputs of any two inputs that are 1 un
alex41 [277]
A) I use x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8b)I use x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16c)I use x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3
Is that good for you?
Good Luck!
<3
5 0
3 years ago
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