The Power of a Power Rule. In this case, you basically multiply the two exponents together, and simplify (x^4)^9 to equal x^36
The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
To best estimate the volume of the log, we assume that the diameter is the average of the diameters at both ends giving us 12 inches as the diameter. Thus, the radius is equal to 0.5 ft. The volume of the log is calculated through the equation,
V = πr²h = π(0.5 ft)²(10 ft) = 7.85 ft³
Answer: 1 2/3 Liters
Step-by-step explanation:
The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has
5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)
We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract
- Numerator= 5x3=15
- Denominator= 9x1=9
Your improper awnser would be 15/9
DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM
- Create the simplest mixed number
15/9 is equal to 15 divided by 9
we can fit 1 9 in 15 without going over
1 ?/15
15-9=6
1 6/9
6 and 9 are both divisible by 3
6 divided by 3 = 2
9 divided by 3 = 3
1 6/9=1 2/3
- Awnser and add your units
1 2/3 is the simpelest form, this can not be further divided.
1 2/3 Liters of Soda
Answer:
42.5 units^2
Step-by-step explanation:
We can split up this shape into smaller ones.
First we can start with the large rectangle on top
We know its 9 by 3.5
9x3.5=31.5
The large rectangle is 31.5, at the end we'll add them all together
Next we can work on the small triangle on the bottom left
Area= bh/2
Both the base and height are 2, 2x2=4 4/2=2, The area of that triangle is 2
Now we can work on the triangle on the bottom right. This time the base is 5
5x2=10 10/2=5, The area of that triangle is 5
Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.
Now we know the small square is 2 by 2. 2x2=4 The square's area is 4
Now we add them all up.
31.5+2+5+4=42.5