Answer:
Volume of room will be left after Michael stores the boxes 426 feet cube
Step-by-step explanation:
It is given that
Michael is putting 12 boxes in a storage shed.
Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.
If the storage shed has dimensions 6 feet by 10 feet by 8 feet,
<u>To find the volume of one box
</u>
Volume = 1.5 x 1.5 x 2= 4.5 feet cube
Volume of 12 such box = 4.5 x 12 =54 feet cube
<u>To find the volume of shed
</u>
Volume of Shed = 6 x 10 x 8 =480
<u>
To find remaining portion of shed</u>
Volume of room will be left after Michael stores the boxes =volume of shed - volume of box
=480 - 54 = 426 feet cube
3/8 of a lap is 1/32 of the entire race.
x - the number of laps in the race
There were 12 laps in the race.
54x^5 (49x - 54) (7x^7 -9x^6)^17
Answer:
They can never be both either increasing or decreasing.
Step-by-step explanation:
If the rate of change i.e. the slope of one linear function is positive, that means the graph of the linear function makes angle which varies between 0° to 90° with respect to the positive direction of the x-axis.
Therefore, the function must be increasing.
Again, if the rate of change i.e. the slope of one linear function is negative, that means the graph of the linear function makes angle which varies between 90° to 180° with respect to the positive direction of the x-axis.
Therefore, the function must be decreasing.
Hence, if the rate of change of one linear function is positive and for another is negative, they can never be both either increasing or decreasing. (Answer)
The answer is b, 5x^2 + 24x + 1
