Find the equation of the exponential function represented by the table below: 2
y
0.1
1
0.05
2
0.025
3 0.0125

The exponential equation is;

y = 0.1•0.5^x

Step-by-step explanation:

Here, we want to get the exponential function represented by the table

Mathematically, the general form of an exponential function is;

y = a•b^x

By getting a and b, we have the exponential function

We can use any of the points;

Let us start with (0,0.1)

0.1 = a•b^0

anything raised to zero is 1

0.1 = a * 1

a = 0.1

Now, we have a

Let us work with the second point to get b

The point is (1,0.05)

0.05 = 0.1•b^1

0.05 = 0.1b

b = 0.05/0.1

b = 0.5

Thus, we have the equation as;

y = 0.1•0.5^x

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages