When you multiply two numbers in exponential notation whose bases are the same, you just keep the base the same and add the exponents.
In this case, you have (2^6) * (2^6) = 2^(6 + 6) = 2^12.
We can change the base of 4^6 into 2:
(2^2)^6
Is this the same as 2^12? Well, when we have an expression like that above, we multiply the exponents together, so we get: (2^2)^6 = 2^12.
Therefore, Nicholas is correct.
Ok so we are gonna find the area or the rectangles on the object
Area of rectangle 1 = length x width
= 6 x 20
= 120 m square
Multiply the area of rectangle 1 by 2 because there are two same shaped rectangle.
120 x 2
=240 m square
Area of rectangle 2 = 30 x 6
= 180 m square
Multiply the area of rectangle 2 by 2 because there are two same shaped rectangle.
180 x 2
=360 m square
Area of rectangle 3 = 30 x 20
= 600 m square
Multiply the area of rectangle 3 by 2 because there are two same shaped rectangle.
600 x 2
=1200 m square
Then add all the area of the rectangles.
240 + 360 + 1200
= 1800 m square
Therefore the surface area is 1800 m square
1/3(12x-24)=16
3/1[1/3(12x-24)=16]
12x-24=48
+24 +24
12x=72
12x/12=72/12
X=6
A linear equation has a standard form of:
y = mx + b
where in this case,
y = amount of money in tip jar, m = slope, x = number of
hours, b = y intercept
We select any two paired data to calculate for the slope:
m = (y2 – y1) / (x2 – x1)
m = (18.25 – 15.50) / (5 – 4)
m = 2.75
y = 2.75x + b
Choosing any one data pair to calculate for b the
y-intercept:
15.50 = 2.75 (4) + b
b = 4.5
Therefore there was $4.50 in the tip jar during the
opening.
Answer: $4.50
B=8. A^2+B^2=C^2. This means 6to the second power plus B to the second power equals10 to the second power. 36+b^2=100. B to the second power equals 64. Square root of 64 is 8, so B equals 8