Answer:
A
Step-by-step explanation:
∠QSR = 180° - 150° = 30° ( straight angle )
tanQSR = tan30° =
=
→ A
You have no exponential functions listed to choose from, but in this problem it is understood that the base of the log is 10 because it is not stated otherwise and a base of 10 is the "norm" for logs. So rewritten with that in mind, you have log base 10 (784)=a. In exponential form, that looks like this: 10^a=784. You could solve for a by typing in "log(784)" into your calculator to get that the exponent is equal to 2.894316063. If you raise 10 to that power you get 784.
Answer:
114
Step-by-step explanation:
z = (x − μ) / σ
0.93 = (x − 100) / 15
x ≈ 114
Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
Domain: 
Range: 
Explanation:
The function is 
The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function
is defined in the interval
.
The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function
is defined in the interval
.