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2 years ago

Find the sum and product of each of these pairs of num- bers. express your answers as a base 3 expansion.

1 answer:

5 0

Adding in base 3 is very much like adding in base 10, but instead of carrying digits when their sum exceeds 9, we have to watch for when the sum exceeds 2:

.   112
+ 210
- - - - -
.   322 -> 1022

.   12021
+    2122
- - - - - - -
.   14143 -> 14150 -> 14220 -> 21220

.   20001
+    1111
- - - - - - -
.   21112

.   120021
+      2002
- - - - - - - -
.    122023 -> 122030 -> 122100

You might be interested in

The Tran family and the Green family each used their sprinklers last summer. The water output rate for the Tran family's sprinkl

ser-zykov [4K]

Answer:

Tran family's sprinkler was used for 20 hours

Green's family's sprinkler was used for 30 hours

Step-by-step explanation:

Let the hours for which Tran family's sprinkler used is x hours

water output rate for the Tran family's sprinkler = 35L per hour

water output from Tran family's sprinkler in x hours = 35*x L = 35x

Let the hours for which Green family's sprinkler used is y hours

water output rate for the Green family's sprinkler = 40L per hour

water output from Green family's sprinkler in x hours = 40*y L = 40y

Given

The families used their sprinklers for a combined total of 50 hours

thus

x + y = 50 -------------------equation 1

y = 50-x

total water output of 1900L

35x+40y = 1900 -------------------equation 1

using y = 50-x in equation 2, we have

35x + 40(50-x) = 1900

35x + 2000 - 40x = 1900

=> -5x = 1900 - 2000 = -100

=> x = -100/-5 = 20

y = 50-20 = 30

Thus,

Tran family's sprinkler was used for 20 hours

Green's family's sprinkler was used for 30 hours

4 0

3 years ago

One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a

Nadya [2.5K]

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

3 0

3 years ago

A and B are n×n matrices. Check the true statements below: A. (detA)(detB)=detAB. B. The determinant of A is the product of the

Rudik [331]

Answer with Step-by-step explanation:

We are given that

A and B are matrix.

A.We know that for two square matrix A and B

Then, $det(AB)=det(A)\cdot det(B)$

Therefore, it is true.

B. det A is the product of diagonal entries in A.

It is not true for all matrix.It is true for upper triangular matrix.

Hence, it is false.

C. $\lambda+5=0$

$\lambda=-5$

When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.

Hence, it is false.

D.An elementary row operation on A does not change the determinant.

It is true because when an elementary operation applied then the value of matrix A does not change.

8 0

2 years ago

Find the value of x for m (arc AB)=23 and m(arc CD)=32 (the answer will be a decimal )

Marta_Voda [28]

Ok Ok Ok Ok Ok Ok Ok Ok Ok

5 0

3 years ago

Three fifths of the members of a hiking club went on the last hiking trip. If 39 people went on the trip , how many are in the c

finlep [7]

Step-by-step explanation:

1. Since 39 is 3/5 of the club, divide by 3 to get 1/5 of the club

2. 1/5 of the club is 13 people

3. Multiply 13 by 5 to get 5/5 of the club (which is the whole club)

4. The whole club is 65 people

5. You can check it because 65×3/5=39

4 0

2 years ago