4. The wheel of a bicycle has a 26-inch diameter. Each time the wheel turns a complete revolution, the bicycle moves a distance equal to the circumference of the wheel. How
far has a rider traveled when the wheel has gone around 1,000 times?

2073.6 meters is distance traveled when the wheel has gone around 1,000 times.

Step-by-step explanation:

Given:
Diameter = 26 inch (26*2.54=66.04 cm)
Radius = D/2 = 66.04/2=33.02
To find:
Circumference of the wheel = 2r

                                              =2*3.14*33.02
                                                = 207.36cm (approx)
Distance traveled when the wheel has gone around 1,000 times=207.36*1,000
        = 207360cm (approx)

Distance in meters = 207360/1000 =2073.6

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

24 units

step-by-step explanation: