Multiply and give the answer in scientific notation:
(1.5 x 10^4)(8 x 10^8)
a) 12.0 x 10^12
b) 1.2 x 10^13
c) 1.2 x 10^12
d) 12.0 x 10^13

Step-by-step explanation:

given

in order to make multiplication easier we need to change the 1.5 into a whole number form.

thus

First law of indices applied there

=(15×10^3)(8×10^8)

=(15×8)(10^3×10^8)

=120×10^3+8 ( first law of indices, which states that , numbers of the same base multiplying each other, take one of the base and add the exponent. and clearly both 15 and 8 are in base 10

=120×10^11

=1.20×10^2 ×10^11

=1.20×10^11+2

=1.20×10^13

so the answer is alt B

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.