A student investigates force and motion. She measures the mass of four wood blocks and places the blocks on a smooth surface. She will push each block with an equal amount of force and measure how far each moves with a ruler. Then, she will place the blocks in order based on how far they move when pushed. Which best predicts her results in order, from the block that moves the farthest to the block that moves the least? Block Mass (g)
1 45
2 25
3 35
4

4, 2, 3, 1

Step-by-step explanation:

Blocks that weigh heavier won't go as far because friction will get to much and the weight and air resistance is bigger on a bigger block, therefore it would slow to a stop further behind te lesser weight ones

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f(x) = y

f(-3) = -5

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752