1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tcecarenko [31]
3 years ago
7

Required informationSkip to questionNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to retu

rn to this part.Find the sum and product of each of these pairs of numbers. Express your answers as base 3 expansions.The sum of the numbers (20001)3 and (1112)3 is ( )3 and their product is ( )3.
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

The answer is " (21120)_3  and (100011112)_3"

Step-by-step explanation:

Calculating the sum:

a= (20001)_3 \\\\b= (1112)_3

\to a+b = 20001+1112                     // 163+41=204

             =(21120)_3

Explanation:

In the addition, first convert the given value (a,b) into decimal point that is (163, 41) and by adding its value is equal to (204) and after convert its value is equal to (21120)_3.

Calculating the product:

a= (20001)_3 \\\\b= (1112)_3

\to a*b = 20001*1112                //  163 *41=6,683

             =(100011112)_3

Explanation:

In the product calculation we convert the given value (a,b) into decimal point that is (163, 41) and multiplting its value which is equal to (6,683) and after convert its value is equal to (100011112)_3.

You might be interested in
If a storm window is 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide
viva [34]

\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{\textit{6 more than \underline{w}}}{w+6}\\ A=315 \end{cases}\implies 315=(w+6)(w) \\\\\\ 315=w^2+6w\implies 0=w^2+6w-315 \\\\\\ (w+21)(w-15)=0\implies w= \begin{cases} -21\\ \boxed{15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill w=15\qquad \stackrel{w+6}{L=21}~\hfill

3 0
3 years ago
HELP PLEASE 18 POINTS
ICE Princess25 [194]

Answer:

Step-by-step explanation:

line 1  m=y2-y1 / x2-x1  [formula for slope ]

m= 0 - (-3) / 8-(-4)

m= 3 /12      

m= 1/4  slope of line 1

line2  

m = 2-6 / 0-(-1)

m = -4 / 1

m = -4  slope of line 2

line 3

m = -4 - (-7)  / -3 -  6

m = 3 / -9

m = - 1/3  slope of line 3

lines 1 & 2   perpendicular b/c they are reciprocals with a sign change :)

lines 1 & 3     neither.. differet slopes and not reciprocals

lines 2 & 3  perpendicular  b/c they are reciprocals with a sign change :)

6 0
3 years ago
The number 3453 has two 3 why does each 3 have different value
Usimov [2.4K]
The two 3s have different place values. The 3 on the left is in thousands place while the 3 on the right is in the ones place. we can also look at this vc by separating each digit ( 3000 + 400 + 50 + 3)

while the digits are the same, their place determines the value
3 0
3 years ago
Read 2 more answers
Tanya runs a catering business. Based on her records, her weekly profit can be approximated by the function, where x is the numb
uranmaximum [27]

answer is in image attached

7 0
3 years ago
A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t
valentinak56 [21]

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+<u>66x+8x</u>+44

A=12x^(2)+(66+8)x+44

A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

a second degree trinomial

since its leading coefficient (highest degree value of the expression) is 2

and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+<u><em>74x</em></u>+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

x=-2/3

2x+11=0

2x=-11

x=-11/2

6*(-11/2)+4

3*(-11)+4

-33+4

-29

2*(-2/3)+11

-4/3+33/3

29/3

6*(-2/3) + 4

2*(-2)+4

-4+4

0

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

7 0
3 years ago
Read 2 more answers
Other questions:
  • (X+2)(x-4)(x+7)(x-1)
    8·1 answer
  • The price of a notebook was $3.90 yesterday. Today, the price fell to $3.40
    6·1 answer
  • Kanye wants to make a triangular flower bed using logs with the lengths 3 ft, 4 ft, and 8ft. Can Kanye form a triangle with the
    5·1 answer
  • Simplify the expression.<br> -3(-8-2v+2v) (easy 10 points!)
    9·2 answers
  • The side length of a regular hexagon is 11 cm.
    9·1 answer
  • Marco is interviewing classmates for his newspaper article. He needs to interview 30 people. Every interview takes Marco 7.2 min
    7·1 answer
  • Which of the following items are allowed in a class 5 clean room:
    11·1 answer
  • Which linear equation represents the graph?
    13·1 answer
  • Help please! this ones easy i just dont know how to do it
    7·1 answer
  • Write the linear equation in slope-Intercept form passing through the point with the glven slope. 1. (0, 3): slope = -2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!