A particle moves horizontally according to this position function: s(t)=1/3t^3-3t^2+8t-4
1. What is the initial position of the particle?
2. When is the first time the object has a velocity equal to
zero?
3. When the acceleration of particle equals zero, what is
the velocity of the particle?
4. What is the total distance traveled by the particle
between zero and four seconds? (Give an exact answer.)

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Determine the solution for mc001-1.jpeg

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.