91Ó°ÊÓ

For Exercises 61 and 62, use the fact that I light-year = \(5.88 \times 10^{12}\) miles. Astronomy. The brightest star in the night sky, Sirius, is about \(4.704 \times 10^{13} \mathrm{mi}\) from the earth. How many light-years is it from the earth to Sirius?

Named in tribute to Anders Angström, a Swedish physicist who measured light waves, 1 A (read "one Angstrom" ) equals \(10^{-10}\) meter. One parsec is about 3.26 light-years, and one light-year equals \(9.46 \times 10^{15}\) meters. How many Angstroms are in one parsec?

Write an equivalent expression with negative exponents. $$ 8^{10} $$

Readability. The reading difficulty of a text for elementary school grades \(1-3\) can be estimated by the Power-Sumner-Kearl Readability Formula, $$g=0.0778 n+4.55 s-2.2029$$ where \(g\) is the grade level, \(n\) is the average number of words in a sentence, and s is the average number of syllables in a word. Elliot is writing a book for beginning third-graders (grade 3.0 ) using words with an average of 1.02 syllables per word. How many words, on average, should his sentences contain?

Solve. $$ 3(x+4)=7 x $$

Find \(-x\) for each of the following. $$ x=-4.67 $$

Use set-builder notation to write each set. \(\\{0,1,2,3,4\\}\)

Solve. $$ 3(y+5)=8 y $$

Named in tribute to Anders Angström, a Swedish physicist who measured light waves, 1 A (read "one Angstrom" ) equals \(10^{-10}\) meter. One parsec is about 3.26 light-years, and one light-year equals \(9.46 \times 10^{15}\) meters. How many kilometers are in one parsec?

Use set-builder notation to write each set. \(\\{-3,-2,-1,0,1,2\\}\)