List all of the prime numbers less than 20 in numerical order

Answers

Answer 1

Answer: a prime number is a number only divisible by itself and 1 (this excludes decimals and fractions)

surprise, 1 is not prime because it must be divisible by itself and 1 and the factors of 1 are 1 and 1 so 1 is not prime

2 is prime because it is the first even counting number and since all even numbers after 2 are divisble by 2 you can cross out all odd numbers after 2
3 is prime because it is the first odd counting number that satisfies the condition
4 is not because it is even
5 is prime
6 is not because it is even
7 is prime
8 is not because it is even
9 is not
10 is not because it is even
11 is prime
12 is not because it is even
13 is prime
14 is not because it is even
15 is not
16 is not because it is even
17 is prime
18 is not because it is even
19 is prime
20 is not because it is even

so the numbers are 2,3,5,7,11,13,17,19

Answer 2

Answer: 19, 17, 13, 11, 7, 5, 3, 2

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What is the value of the expression shown when n=6?"8 less than the quotient of 42 and a number"
42
8-
o when n-6 the expression equals 1
-8; when n= 6 the expression equals -1
42-8n; when n = 6 the expression equals -6
8n-42; when n-6 the expression equals 6

Answers

Answer:

Step-by-step explanation:

8 less then the quotient of 42 and a number

a " quotient " is the result of division

(42 / n ) - 8.....when n = 6

(42/6) - 8 =

7 - 8 =

-1

so when n = 6, the expression = -1

Answer:

Step-by-step explanation:

EDGE 2021

What division problem does this model represent

Answers

Answer choice B is correct

Help plz I will give you brainiest if its correct :)

Answers

Answer:

The first one

Step-by-step explanation:

it is a, the first one

WILL MARK BRANLIEST!!!!!!
is the following relation a function?

Answers

Answer:

Step-by-step explanation:

Why it is no is because two lines are pointing at 3.

See how -2 and 5 are pointing at 3.

Since there are two pointing at 3, it is not a function.

NO the answer is no hope i help out

~~~20 POINTS~~~Carol is designing an oatmeal container. Her first design is a rectangular prism with a height of 12 inches, a width of 8 inches, and a depth of 3 inches.

a. What is the total surface area of the container to the nearest square inch? Use 3.14 for $\pi$ .

b. Carol wants to redesign the package as a cylinder with the same total surface area as the prism in part α. If the radius of the cylinder is 2 inches, what is the height of the cylinder? Round your answer to the nearest inch. Use 3.14 for $\pi$ .

Answers

I'm so sorry for the late answer!

(a) Rectangular container
There are 3 pairs of congruent sides. Each side's area can be solved by multiplying either 12, 8, or 3. Then because for each side, there is another side that is exactly the same, we can multiply by 2.
(2*12*8) + (2*12*3) + (2*8*3) = 312

(b) Surface Area of a cylinder is $2 \pi r^(2) +2 \pi rh$
We know that r is 2 and that the whole expression is equal to 312.
Plug 2 back into the equation and set it equal to 312.
$2 \pi *4+2 \pi *2h = 312 \n 4 \pi *h = 312-8 \pi \n h = (312-8 \pi )/(4 \pi ) = 23$
The height of the cylinder has to be around 23 inches.

A survey of 96 students on campus showed that 29 read the Campus Observer student newspaper that morning, 24 read the news via the Internet that morning, and 20 read the local city paper that morning. Eight read the Campus Observer and the Internet news that morning, while four read the Internet news and the local paper, seven read the Campus Observer and the local city paper, and one person read the Campus Observer, the Internet news, and the local paper. (a) How many read the Internet news or local paper but not both? (b) How many read the Internet news and the local paper but not the Campus Observer? (c) How many read the Internet news or the Campus Observer or both?

Answers

Final answer:

In total, 40 students read either the Internet news or the local paper, but not both; 4 students read both the Internet news and the local paper but not the Campus Observer; and 45 students read either the Internet news, the Campus Observer, or both.

Explanation:

To answer your question, we will use the concept of sets in Mathematics and the principles of the union and intersection of sets. A Venn Diagram can be very helpful in picture this.

(a) How many read the Internet news or local paper but not both?
First, we need to find the total number of students who read either the Internet news or the local paper. This would be the number of students who read the Internet news, plus the number of students who read the local paper, minus the number of students who read both. That would be 24 + 20 - 4 = 40 students.

(b) How many read the Internet news and the local paper but not the Campus Observer?
The answer is given directly in the question. These are the students who read both the Internet news and the local paper, but did not read the Campus Observer, which is 4 students.

(c) How many read the Internet news or the Campus Observer or both?
For this, we add the number of students who read the Internet news to those who read the Campus Observer, and subtract the number of students who read both. This gives us 24 + 29 - 8 = 45 students.