Open - ended

nadia built a robot filter air and water effiency. she expects the robots to filter more than 343 liters of water while using less than 49 joules of energy

12a + 8w > 343 represents the number of minutes the robot filters air a and water w to folter more than 343 liters of air and water.

3a + 4w < 49 represents the number of minutes the robot filters air and water while using less than 49 joules of energy

does this robot meet both of nadia's expectations by filter air for 20 minutes and filtering water for 15 minutes ? use evidence to support your answer.

  no

Step-by-step explanation:

Expectations are not met for any combination of air and water minutes.

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The solution space for these two inequalities would be where the shaded areas overlap. They don't overlap, so there are no feasible solutions.

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12·20 +8·15 = 360 > 343, so volume requirements can be met. Energy requirements are not. (Already 3·20 > 49, so we know the given values for (a, w) cannot satisfy the second inequality.)

1,918

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.