Factoring a small number, such as 36, may be pretty simple, but how might one go about factoring a larger number, such as 19,800? Factoring a larger number seems to be difficult but can be easily possible by using various …
24. The number of lawn mower-related accidents per year, A, in a certain U.S. state can be modeled by: A=798-4t where t is the number of years since 2000. If the trend continues, in what year will the number of …
26. A line has a slope of -3 and contains the point (-2,7). Find an equation of this line. Ans. -3=(y-7)/(x-(-2) ) -3×(x+2)=y-7 -3x-6=y-7 3x+y=-6+7→3x+y=1 27. Find a line perpendicular to: 6x-4y=13+y Ans. 6x-5y=13 5y=-6x+13 y=-6/5 x+13/5 For the perpendicular …
28. Simplify the following: (2^6*3^3*5^32*6^12*〖10〗^4)/(〖10〗^2*2*6^8*5^31 ) Ans. (2^6*3^3*5^32*6^12*〖10〗^4)/(〖10〗^2*2*6^8*5^31 )=2^4*3^3*5*6^4*〖10〗^2=279936000 29. Convert the following to scientific notation: .0000900154 Ans. 9.00154×〖10〗^(-5) 30. Simplify the following: (8zw^2+z^3 w^4-9z^2 w^2 )-(-5z^4 w^3-9z^2 w^2+7zw^2+z^3 w^4-z^4 w^3 ) Ans. =5z^4 w^3+z^4 w^3+z^3 w^4-z^3 w^4-9z^2 w^2+9z^2 w^2+8zw^2-7zw^2 …
21. Carol scored 40 points higher on the math portion of the SAT test than on the language portion. If her total score for both parts was 1260, what was her score on each part? Ans. m= math l=language m=40l …
18. Find the product: ((2x^4 yz^2)/7)((7xy^2 z^4)/6) Ans. ((2x^4 yz^2)/7)((7xy^2 z^4)/6)=(2×7×x^5 y^3 z^6)/(7×6)=(x^5 y^3 z^6)/3 19. Find the additive and multiplicative inverses of: 221/10 Ans. Additive inverse, 221/10-221/10=0 And multiplicative inverse, 221/10×10/221=1 20. The cost to ship a package from …
13. Write the following as a polynomial without parentheses: (-2z – 9)(7z + 6) Ans. (-2z – 9)(7z + 6)=-14z^2-12z-63z-54 =-14z^2-75z-54 14. Factor the following: 36x^5-6x^2+18x^3 Ans. 36x^5+18x^3-6x^2=6x^2 (6x^3+3x-1) 15. Simplify: ((-9x^5)/(7y^2 ))^2 Ans. ((-9x^5)/(7y^2 ))^2=(81x^10)/(14y^4 ) 16. 16 is …
7. Simplify the following, combining like terms: {2[-4(x-y)+5]-(9x-y)}-[-2(y+3x)] Ans. {2[-4(x-y)+5]-(9x-y)}-[-2(y+3x)]={2[-4x+4y+5]-9x+y}-[-2y-6x] ={-8x+8y+10-9x+y}+2y+6x =-17x+9y+10+2y+6x =-11x+11y+10 11x-11y=10 8. Simplify the following, combining like terms: (5w^3-4w)(w^2-2w+9) Ans. (5w^3-4w)(w^2-2w+9)=5w^5-10w^4+45w^3-4w^3+8w^2-36w =5w^5-10w^4+41w^3+8w^2-36w 9. Simplify the following: 19+3^4-6-〖(-3+9)〗^2 Ans. 19+3^4-6-(-3+9)^2=19+81-6-36=58 10. Determine whether the ordered pair (-7,8) is …
Find the LCM of 20 and 44. Ans. The prime factorization of 44 is, 44=2×2×11 The prime factorization of 20 is, 20=2×2×5 The LCM of 20 and 44 is, 2×2×5×11=220 2. Divide and simplify the following: 24/22÷16/55 Ans. 24/22÷16/55=(24⁄22)/(16/55)=24/22×55/16=6/2×5/4=30/8=15/4=3.75 Simplify …
Question 1 2 / 2 pts True or false: the following matrix is a legit Leslie matrix for demographic population ecology. Correct! True False Question 2 2.5 / 2.5 pts Suppose a certain species is modeled with the …