Multiply (5 × 10^4)(7 × 10^3), express in scientific notation. a) 3.5 x 107 b) 3.5 x 108 c) 35 x 107 d) 35 x 108

Hello from MrBillDoesMath

35 * 10^7,       which is Choice C

Discussion:

(5 * 10^4) /( 7 * 10^ 3 ) =

(5*7) * ( 10^4 * 10^3) =                        ( as 5 * 7 = 35)

(35) * 10 ^ (4+3) =

(35) * 10^7

which is choice C

Thank you,

Mr. B

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt