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ludmilkaskok [199]
3 years ago
12

How many three number codes does a combination lock with 40 numbers have if the numbers can repeat?

Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

4100

Step-by-step explanation:

if on from 0-9 is 1000 on with 0-40 would be 4100

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HELP{
sertanlavr [38]

Answer: The correct conclusion is(B) The functions f(x) and g(x) are reflections over the y-axis.

Step-by-step explanation: Two functions f(x) and g(x) are given as follows:

f(x)=2^x,~~~~~~~g(x)=\left(\dfrac{1}{2}\right)^x.

We know that if f(-x) = g(x), then the functions are reflections over Y-axis and if - f(x) = g(x), then the functions are reflections over X-axis.

We have,

f(-x)=2^{-x}=\left(\dfrac{1}{2}\right)^x=g(x),\\\\-f(x)=-2^x\neq g(x).

So, the function g(x) is a reflection of f(x) over Y-axis.

The graph of f(x) and g(x) are drawn in the attached file. From there, it is clear that the functions are reflections over Y-axis, not reflections over X-axis.

So, options (A) is incorrect and option (B) is correct.

From the table, we have

f(-2)=\dfrac{1}{4},~~f(-1)=\dfrac{1}{2},~~f(0)=1,~~f(1)=2,~~f(2)=4,\\\\g(-2)=4,~~g(-1)=2,~~g(0)=1,~~g(1)=\dfrac{1}{2},~~g(2)=\dfrac{1}{4}.

So, as the value of 'x' increases, the value of f(x) increases and value of y(x) decreases.

Therefore, f(x) is an increasing function and g(x) is a decreasing function. So, option (C) is incorrect.

Also, we have

f(0)=g(0)=1.

So, both the functions have same initial value. So, option (D) is also incorrect.

Thus, the correct conclusion is (B) The functions f(x) and g(x) are reflections over the y-axis.

4 0
3 years ago
Read 2 more answers
Determine the amplitude or Period as requested. <br> Period of y= -2 sin x
Alex Ar [27]

amplitude: 2

period: 2pi

The equation for a sin function is:

y = a \sin(b(x - c) ) + d

a = the amplitude

b = the period

c = the horizontal shift

d = the vertical shift

the equation to find the period of a sin function is:

period =  \frac{2\pi}{b}

note: the amplitude is always a positive number, if there is a negative sign in front of it then that means it reflects over the x-axis.

5 0
2 years ago
I would appreciate it if someone helped me:)
Evgesh-ka [11]

Answer:

24 more chocolotae chip cookies are sold

Step-by-step explanation:

CCC  7(15)+6    105+6=111

SC   6(15)-3      90-3 = 87

111-87 = 24

8 0
3 years ago
Find the range for the measurement of the third side of a triangle, x, given the measures of the two sides: 6 ft and 13 ft.
Rudik [331]
|13-6| < x < |13+6|

So the range will be:

7 < x < 19
8 0
3 years ago
Use the stem and leaf plot graph to answer the question.
kogti [31]
<h3>Answer:   13 days</h3>

====================================================

Explanation:

Count the number of leaves marked in green.

  1. Row One: 2 leaves (1 and 8)
  2. Row Two: 3 leaves (3, 6, and 9)
  3. Row Three: 5 leaves (2, 3, 4, 6, 7)
  4. Row Four: 3 leaves (1, 6, and 8)

There are 2+3+5+3 = 13 leaves total. This represents tickets were sold on 13 days.

Each stem and leaf combines to form a different ticket count. For instance, the stem of 1 and leaf of 8 combine to get the value 18. So 18 tickets were sold on that particular day.

7 0
2 years ago
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