Log In Registration
Ask an expert
Mathematics
31.10.2020 12:06
266
277
6
Solved by an expert

Scientists estimate that the mass of the sun is 1.9891 x 1030 kg. How many zeros

Scientists estimate that the mass of the sun is 1.9891 x 1030 kg. How many zeros are in this number when it is written in standard notation?
A 26
B 30
C 35
D 25
Show Answers
bluebug7316
bluebug7316
4,5(13 marks)

If binomial (3x+2) is  a factor of some polynomial, then number x=-\dfrac{2}{3} is this polynomial's root. Check all polynomials:

A. For the polynomial 6x^3 + 3x^2 + 4x + 2,

6\left(-\dfrac{2}{3}\right)^3 + 3\left(-\dfrac{2}{3}\right)^2 + 4\left(-\dfrac{2}{3}\right) + 2=-\dfrac{16}{9}+\dfrac{4}{3}-\dfrac{8}{3}+2=-\dfrac{10}{9}\neq 0.

B. For the polynomial 12x^2 + 15x + 8x + 10,

12\left(-\dfrac{2}{3}\right)^2 + 23\left(-\dfrac{2}{3}\right) + 10=\dfrac{16}{3}-\dfrac{46}{3}+10=0.

C. For the polynomial 18x^3-12x^2 + 9x-6,

18\left(-\dfrac{2}{3}\right)^3 -12\left(-\dfrac{2}{3}\right)^2 + 9\left(-\dfrac{2}{3}\right) -6=-\dfrac{16}{3}-\dfrac{16}{3}-6-6\neq 0.

D. For the polynomial 21x^4 + 7x^3 + 6x + 2,

21\left(-\dfrac{2}{3}\right)^4 +7\left(-\dfrac{2}{3}\right)^3 +6\left(-\dfrac{2}{3}\right) +2=\dfrac{112}{27}-\dfrac{56}{27}-4+2\neq 0.

correct choice is B

Popular Questions about the subject: Mathematics

El lugar geometrico de los puntosP(x, y) cuya distancia a la rectay−4...
El lugar geometrico de los puntosP(x, y) cuya distancia a la rectay−4 = 0 es la misma que su distancia al punto (3,2), (b) Indica el tipo de curva querepresenta...
Mathematics
28.04.2022 06:20
What is the domain of the function shown in the table? х у 0 -2....
What is the domain of the function shown in the table? х у 0 -2. -1 0 1 2 3 1 O A. (-2,0),(-1, 1), (0, 2), (1,3) O B. (-2,-1,0,1,2,3} C. {0, 1, 2, 3} they...
Mathematics
19.04.2020 09:51
Which equation is correct? please help me :((...
Which equation is correct? please help me :((...
Mathematics
04.10.2020 20:50
18 Minutes, 50 Seconds Which of the following situations would...
18 Minutes, 50 Seconds Which of the following situations would best be modeled by a discrete relationship? O The weight of a dog over time. O Birthday balloons...
Mathematics
27.07.2022 10:10
Câu 1: Cho hệ các vector U = {(1,2,n);(0,-1,1- n);(2,3,n + 1);(1,0,2...
Câu 1: Cho hệ các vector U = {(1,2,n);(0,-1,1- n);(2,3,n + 1);(1,0,2 - n)}. a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U . b. Tìm...
Mathematics
08.11.2022 13:23
Maria made $273 for 13 hours of work. at the same rate, how many...
Maria made $273 for 13 hours of work. at the same rate, how many hours would she have to work to make $189?​...
Mathematics
01.02.2022 19:50
Use inductive reasoning to predict the next line in the sequence...
Use inductive reasoning to predict the next line in the sequence of computations. Use a calculator or perform the arithmetic by hand to determine whether your...
Mathematics
12.07.2021 03:59
I suck at math but what s greater 0.67 or 0.6...
I suck at math but what s greater 0.67 or 0.6...
Mathematics
04.11.2021 22:20
Alex wrote checks on Tuesday for $35 and $45. He also deposited...
Alex wrote checks on Tuesday for $35 and $45. He also deposited in his checking account $180. Find the overall change in the amount in his c...
Mathematics
23.02.2020 03:52
Solve for p in the literal equation 2p + 3r = q. P =...
Solve for p in the literal equation 2p + 3r = q. P =...
Mathematics
24.06.2022 15:51

New questions by subject

Can some one help me hit 400 on ig...
Can some one help me hit 400 on ig...
History
23.02.2022 19:13
If 14 people can fit in a 4ft by 6ft box, how many people can...
If 14 people can fit in a 4ft by 6ft box, how many people can fit into a room that has a width of 41ft and a length of 62ft?...
Mathematics
31.07.2022 10:32
BRAINLIEST BRAINLIEST please answer and show work thank you...
BRAINLIEST BRAINLIEST please answer and show work thank you...
Mathematics
28.07.2022 01:09
Please help me with this! I will give you brainliest...
Please help me with this! I will give you brainliest...
English
20.03.2021 18:19
The table shows the percentages of hydrocarbons that are found...
The table shows the percentages of hydrocarbons that are found in a sample of crude oil. Percentage 30 Hydrocarbons paraffins naphthenes aromatics asphaltics...
Chemistry
19.07.2020 10:44
2. Language, religion, and dress are to cultural traits as, buildings,...
2. Language, religion, and dress are to cultural traits as, buildings, roads, and agriculture are to A. Government Functions B. Political Systems C. Cultural...
Social Studies
09.02.2020 07:27
Being a weeb is a good thing... right?...
Being a weeb is a good thing... right?...
Advanced Placement (AP)
03.03.2020 15:54
Compared to its incident wave form, a wave form reflected from...
Compared to its incident wave form, a wave form reflected from a more dense medium will be...
Chemistry
21.03.2023 22:18
HELP PLEASE SOMEONE IM BEING TIME WHICH CULTURAL CHANGE OCCURRED...
HELP PLEASE SOMEONE IM BEING TIME WHICH CULTURAL CHANGE OCCURRED BC OF US INVOLVMENT IN WW1???...
History
04.09.2022 00:46
First right gets Brainliest...
First right gets Brainliest...
Mathematics
13.10.2021 05:44
Find out answers to questions
from an AI-bot
Get full access
Answers
Themes
Family and Home Sport Other Dating, Love, Relationships Health and Medicine Science and Technology Cities and Countries Travel and tourism Food and Cooking Philosophy Style and Beauty Animals and plants Business and Finance Construction and repair Leisure and Entertainment Legal consultation Goods and services Society and Politics Photography and Videography Auto and Moto Art and Culture Computers and Internet Horoscopes, Magic, Divination Work and Career Business Law Spanish SAT Engineering Social Studies Computers and Technology World Languages Mathematics French Biology Arts History Geography Health Chemistry Medicine Physics English Advanced Placement (AP) German
#
#
#
#
# #

We expand our knowledge with many expert answers

Answers