4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)
Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
Answer:
0.05
Step-by-step explanation:
We can correctly state that the total sample space= 100 students
40% of 100 students exercise regularly
The probability that 5 students
Picked at random exercise regularly is
Pr(5) = 5/100= 1/20
Pr(5)= 0.05
Answer:
C = 3.14d
Step-by-step explanation:
From the table,
6.28÷2=3.14
9.42÷3=3.14
15.7÷5=3.14
31.4÷10=3.14
Answer:
836 cubic centimeters
Step-by-step explanation:
We need to add together the volumes of the three cubes.
Vcube = s*s*s
<u>Small cube:</u> V = 2^3 = 8
<u>Medium cube:</u> V = 7^3 = 343
<u>Large cube:</u> V = 8^3 = 512
Total volume: 8 + 343 + 512 = <u>836 cubic centimeters</u>
