. If covering 11 km the wheel of a cart makes 5000 revolutions. Find the radius of the
circle.

The radius of the circle is 35 cm

Step-by-step explanation:

One revolution of the wheel of a cart = the length of the circumference of the wheel

Let the radius of the wheel be r cm

The circumference = 2 X pi X r

In 5000 revolutions the wheel covers 2 X pi X r X 5000 cm

According to the problem,

2 X pi X r X 5000 = 11 X 1000 X 100

or, pi X r = (11 X 1000 X 100)/(2 X 5000)

or, r = 110 / pi

or, r = (110 X 7)/22

= 35

Here is the answer.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.