The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Figure 1 has 2 units. FIgure 2 has 6 units. Figure 3 has 12 units.

Use the equation n2 + n = 56 to determine which figure has 56 blocks.

Figure
has 56 blocks.

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

Isee the amount was $90.00 then reduced to $75.00 , what is the percent ?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.