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Nonamiya [84]
3 years ago
7

Solve 4sin^2 x-3=0 find two values of sinx that satisfy this equation

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
4 sin^{2} x-3=0 \\ 4 sin^{2} x=3 \\  sin^{2} x= \frac{3}{4}  \\ sinx= \pm \sqrt{ \frac{3}{4} }  \\ sinx= \frac{ \sqrt{3} }{2}  \ or \ sinx=- \frac{ \sqrt{3} }{2}  \\ x=  \frac{ \pi }{3} , \  \frac{2 \pi }{3} , \  \frac{4 \pi }{3} , \  \frac{5 \pi }{3}
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Is the sequence 3,6,9,12 geometric? True or false and why
IRINA_888 [86]
This sequence is not a geometric.
It is because, common ratio = 6/3 = 2
9/6 = 1.5

As the ratio's are not same, it is not a G.P

Hope this helps!
7 0
3 years ago
A wall clock is generally a more precise tool for measuring a length of time than a stopwatch.
Sergio039 [100]

Answer:

False

Step-by-step explanation:

8 0
3 years ago
At the IGA, a 5 lb bag of apples costs $5.85. What is the unit rate for the 5 lb bag?
Angelina_Jolie [31]
The unit rate for 5 lb bag is 1.75 lb
8 0
2 years ago
Read 2 more answers
Using the bijection rule to count binary strings with even parity.
AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

  • f(a) = a c {1} if a has an odd number of 1's
  • f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f   is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

  • If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
  • If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0
3 years ago
Solve the equation<br> 1/4y+9=1/2
malfutka [58]

Answer:

y = -34

Step-by-step explanation:

Step 1

1/4 y + 9 = 1/2

1/4 + 9 - 9 = 1/2 - 9

1/4 y = -17/2

Step 2

4 * (1/4 y) = 4* (-17/2)

y = -34

Hope this helps!!

7 0
3 years ago
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