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
muminat
3 years ago
15

Identify which of the following statement(s) is always true?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

\sqrt{n}=\sqrt{25}=5

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

\sqrt{n}=\sqrt{8}=2\sqrt{2}

Since 2\sqrt{2} is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

You might be interested in
Use the remainder Theorem and synthetic division to find p(3) for p(x) = x4 + x3 -x2 - 2x
maxonik [38]

You do not need to use the remainder theorem to find p(3). Just plugin 3 where the x is located in

x^4 + x^3 - x^2 - 2x

3^4 + 3^3 - 3^2 - 2(3) = 93

Answer is a.

4 0
3 years ago
28.Neethi had 8
Ludmilka [50]

Answer:

2 1/3 cupcakes

Step-by-step explanation:

A cupcake can make 3 four cups of flour

In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes

  = 56/24 = 2 1/3 cupcakes

5 0
3 years ago
In 12 games last season the school baseball team scored 5, 11, 2, 0, 4, 8, 9, 6, 7, 4, 1, and 2 runs. What is the average number
Mashcka [7]

Hello there!

First, we need to put our data set into proper numerical order (least to greatest).

Set: , 1,2,2,4,4,5,6,7,8,9,11

Now, to find the mean, we need to add them all up.

1 + 2 + 2 + 4 + 4 + 5 + 6 + 7 + 8 + 9 + 11 = 59

Then, divide it by how many numbers there are : 12

59 divided by 12 = 4.9166667

Round it to the nearest tenth.

4.9166667 = 4.9

This means the average number of runs scored per game is 4.9 runs.

7 0
3 years ago
Solve the system of equations. 13x−y=90
SpyIntel [72]
Just squish the two equations into one equation and idk im just typing this because i apparently need a twenty character long answer

8 0
3 years ago
Ralph is an electrictian.he charges an initial fee of $32 plus $33 per hour. If Ralph earned $189 on a Job,how long did The Job
aleksley [76]

Answer:

5 hours

Step-by-step explanation:

189-32=157

157/33 is about 4.76

4.76 rounded is 5 so the job took 5 hours

6 0
3 years ago
Other questions:
  • a certain number of quartersz five times as many pennies as quarters, and 12 more dimes than quarters are worth 8.00. dollars ho
    12·2 answers
  • A delivery truck traveled 133 miles in 3.5 hours. What was the average speed of the delivery truck in miles per hour
    5·2 answers
  • Use the appropriate property of determinants to find<br> a.a. do not evaluate the determinants.
    11·1 answer
  • Help it’s kinda urgent!!
    8·2 answers
  • An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
    14·1 answer
  • Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet? Please help me 
    11·1 answer
  • What is the recursive formula for this sequence<br><br>10,14,18,22,26
    8·1 answer
  • Which is more, 1 pint or 16 fluid ounces?
    7·2 answers
  • Is this a zero? or a negative? or a positive or an undefined?
    7·2 answers
  • 125^-1/3 integer or a​ fraction.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!