Part a: the sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. how many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? express your answer in scientific notation and show your work. (5 points) part b: which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? justify your answer. (5 points) get

1.2675 * 10 ^ 37 ergs

Step-by-step explanation:

3.9 * 10^33  erg/s

how many ergs in 3.25 * 10^3 sec

3.9 * 10^33  erg/s * 3.25 * 10^3 sec

multiply the numbers, add the exponents

3.9 * 3.25 * 10^(33+3)

12.675 * 10^36

this is not in scientific notation  move the decimal 1 place to the left, which adds 1 to the exponent

1.2675 * 10^36+1

1.2675 * 10 ^ 37 ergs

1.435 ⋅ 10^3 mm

mm are  10 times smaller than cm

1 cm ≅ .04 inches

1 mm  ≅.04 inch

1.435 * 10 ^ -3 mm = .001435 mm  ≅  .001435 (.04) = .0000574  inches

1.435 ⋅ 103 mm  = 1435 mm ≅  1435*.04 =57.4 inches

57.4 inches /12 inches/ft  = 4.78 ft

This seems reasonable

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.