There are 380 tagged elk in the state park. The park ranger counted 500 elk and 220 of them were tagged. About how many elk are in the state park?

863

Step-by-step explanation:

There are two ratios in this problem, 220:500 and 380:x.

There are 220 tagged elk in a group of 500 elk counted.

There are 380 tagged elk in a group of x elk in the park.

The ratio of tagged elk to elk counted is the same as tagged elk to elk in the park. Solve for x.

Step 1: 500/220 = x/380

500/220 = 2.27

x/380 = 2.27

Step 2: Find the value of x.

x/380(380) = 2.27(380)

x = 862.6 = 863 (rounded)

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.