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
iris [78.8K]
3 years ago
7

If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq​

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

By way of example, suppose <em>A</em> = {1, 2, 3} and <em>B</em> = {<em>a</em>, <em>b</em>, <em>c</em>}. Then the Cartesian product of <em>A</em> and <em>B</em> is

<em>A</em> × <em>B</em> = {{1, <em>a</em>}, {1, <em>b</em>}, {1, <em>c</em>}, {2, <em>a</em>}, {2, <em>b</em>}, {2, <em>c</em>}, {3, <em>a</em>}, {3, <em>b</em>}, {3, <em>c</em>}}

That is, each element in <em>A</em> gets a pairing with each element in <em>B</em>, and for each pairing you have <em>n(A)</em> choices for the first element and <em>n(B)</em> choices for the second element.

So if <em>n(A)</em> = <em>p</em> and <em>n(B)</em> = <em>q</em>, then <em>n(A</em> × <em>B)</em> = <em>pq</em>.

You might be interested in
What is the answer help
Alex Ar [27]

Answer:

900 batteries

Step-by-step explanation:

First we must find how many batteries does 1 calculator need

we can do this by dividing 160 by 40

which will give us 4 batteries per calculator

then we multiply the amount of calculators we have with 4

225×4 = 900 so we need 900 batteries

4 0
2 years ago
What is the y value in the solution to this system of linear equations?
Travka [436]

Answer:

The y-value is -20

Step-by-step explanation:

So let's solve this by Elimination method;

-2(4x + 5y = -12)

4(2x + 3y = -16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = -64

So x cancels out because -8 + 8 = 0

-10y + 12y = 2y

24 - 64 = -40

2y = -40

Divide both sides by 2;

y = -20

Now lets plug in y to find the value of x;

4x + 5(-20) = -12

4x - 100 = -12

Add 100 to both sides;

4x = 88

Divide both sides by 4;

x = 22

8 0
3 years ago
Don't get this question
solniwko [45]

Answer:

17 and 18

Step-by-step explanation:

Writing every 2 digit number gives us :

10-99 including 10 and 99

For the first one we are looking for numbers where the number 3 appears only once so 33 would be invalid.

13,23,30,31,32,34,35,36,37,38,39,43,53,63,73,83,93

There are 17 2-digit numbers that have 3 exactly once

For the second one we are looking for number where the number 3 appears a minimum of once so 33 would be valid :

13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93

There are 18 2-digit numbers that have 3 at least once

Hope this helped and have a good day

5 0
1 year ago
A grounds crew is marking out a circular logo at the center of a football field. The logo will
patriot [66]

Answer:

circumference of a circle formula is C=2*pi*r

Step-by-step explanation:

then  

141.3 = 2*pi * r

solve for r

141.3/ (2*pi) = r

22.48859 feet

diameter is  2*r

2*22.48859= 44.9771 feet

divide by 3 because there are 3 feet in one yard

44.9771/3= 14.99239 yds.  

it doesn't say to round off, but I would call this 15 yds.

Diameter is 15 yards   ± .008 yds  That's just about 1/4 of an inch

8 0
2 years ago
The graphs below were created by an advertising agency for the computer store TechPlus to show its average price on laptops and
Nostrana [21]

Answer:

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • ASAP Select drop down menu correctly complete the statement
    12·1 answer
  • What percent of 90 is 22.5?
    5·2 answers
  • Amtrak reduced its roundtrip ticket from Boston to Washington by $49. The sale price was $140. What was the original price?
    13·1 answer
  • Type the correct answer in each box. A company manufactures three types of cabinets, type A, type B, and type C. Last week, the
    5·1 answer
  • In a salsa recipe, the number of tomatoes added is proportional to the amount of salt added. This graph shows the relationship.
    9·2 answers
  • Help ASAP pleaseee!!!!!!!
    7·2 answers
  • T−7≤12<br> asap please hjvgjuiohkbjknl m kl;m
    6·1 answer
  • Is the point on the line ?
    12·1 answer
  • Easy math please help i'll mark brainliest
    13·2 answers
  • Evaluate the following expression if x = -7.<br> 3x2 - 4x + 5
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!