The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.

6 0

3 years ago

A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive,

Sonbull [250]

Answer:

$\frac{1}{270}=0.00370$

Step-by-step explanation:

As the numbers are only between 1 and 30

Total number of possible combinations = 30×30×30 = 27000

If there are 100 attempts then

$\text{P (someone guesses correct)}=\frac{\text{Number of attempts}}{\text{Total number of possible combinations}}\\\Rightarrow \text{P (someone guesses correct)}=\frac{100}{27000}\\\Rightarrow \text{P (someone guesses correct)}=\frac{1}{270}=0.00370$

∴ Probability someone can guess the correct combination given 100 attempts is $\mathbf{\frac{1}{270}=0.00370}$

5 0

3 years ago

****ASAP*****<br> can someone pls help me with this? and can you describe it please?

Studentka2010 [4]

Add 165 to 245. That is a total of 410kWh.

245kWh is more than 50% of 410kWh.

So, according to the plan, you will pay NightTimer rate for kWh at night and DayTimer rate during the day.

The work done:

$(165*0.05281)+(245*0.05456)\\8.71365+13.3674=22.08085$

The raw, accurate, answer is that the value to pay is $22.08085.

In real terms, it is closer to your $22.08 option. That is the one I'd take.

5 0

3 years ago

Line CD passes through points C(3, -5) and D(6, 0). What is the equation off three line CD in standard form?

Alina [70]

Standard form: Ax+By=C
first put in slope-intercept form:
slope = (0+5)/(6-3) = 5/3
pick point D: 0 = 5/3(6)+b -> b= -10
slope-intercept form: y=(5/3)x-10
multiply both sides by 3:
3y=5x-30
put in standard form:
5x-3y=30

8 0

3 years ago

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