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gMa2, Ratio & proportion, lesson 5, 8th Feb
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The scale on a map is stated as
1:100 000
On the map, Jennifer estimates that the distance to her destination is 8 cm.
If she is correct in her estimate, how many kilometres is it to her destination?​

9514 1404 393

  8 km

Step-by-step explanation:

The scale means the map distance of 8 cm translates to 800,000 cm in the real world. There are 100 cm in 1 m, and 1000 m in 1 km, so that distance is ...

  800,000 cm = 8,000 m = 8 km

It is 8 km to Jennifer's destination.

the diver is 33 feet below the surface.

step-by-step explanation:

hope this

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.