True or false: The number 0 (zero) IS an integer

Answers

Answer 1
Answer:

Answer:

true. zero is an integer number

Step-by-step explanation:

Answer 2
Answer:

Answer:

True,  it is Known as a neutral integer Because it is neither negative or positive whole number

Step-by-step explanation:


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What is the following quotient? 3sqrt60/3sqrt20

Answers

Answer:

Step-by-step explanation:

3 sqrt 60 / 3 sqrt 20

3 gets cancelled

(sqrt 20 × sqrt 3)/sqrt 20

sqrt 20 gets cancelled

Sqrt 3 is the answer

Maria, Zach y Jill comparten una pizza. Maria come la mitad de la pizza, Zach come 4/6 y Jill come 3/12 de la pizza. ¿Quién come más?

Answers

Answer:

Jill

Step-by-step explanation:

Spanish:

Necesitamos asegurarnos de que ambas fracciones tengan el mismo denominador para descubrir quién se comió la porción más grande.

  • Jill comió (4)/(6) de la pizza, Zach comió (3)/(12) de la pizza,  y María comió (1)/(2) de la pizza
  • Podemos manipular estas fracciones para que ambas tengan el mismo denominador de 12.
  • Para hacerlo, podemos multiplicar la porción de Jill por (2)/(2) lo que haría su porción  (8)/(12) y la porción de María por (6)/(6) la cual haría su porción (6)/(12)

Ahora podemos comparar las tres fracciones y ver cuál tiene el numerador más grande

  • Comparando (8)/(12) , (3)/(12) , y (6)/(12), podemos ver que 8 > 6 > 3, lo que significa que Jill comió más pizza

English:

We need to make sure both fractions have the same denominator to figure out who ate the bigger portion.

  • Jill ate (4)/(6) of this pizza Zach ate (3)/(12) of the pizza, and Maria ate (1)/(2) of the pizza
  • We can manipulate these fractions so they all have the same denominator of 12.
  • To do so, we can multiply Jill's portion by (2)/(2) which would make her portion (8)/(12) and Maria's portion by (6)/(6) which would make her portion (6)/(12)

Now we can compare the three fractions and see which one has the larger numerator

  • Comparing (8)/(12) , (3)/(12) , and (6)/(12) we can see that  8 > 6 > 3 which means Jill ate more pizza

In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, "On how many days in the past week did you consume at least one alcoholic drink?" a. Identify the population and the sample. b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond "zero" to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.

Answers

Answer:

a) The population is 40,858 students and the sample is 100.

b) No

Step-by-step explanation:

a) The population would be the 40,858 members of the student body. Since we are only applying the questionnaire to 100 students, the sample would be 100.

b) 29% of the students answered "zero" to the question on how many days in the past week they consumed at least one alcoholic drink. This means that 29 out of 100 students gave this answer. However, this doesn't mean that 29% of the entire population of UW would give this response. Why is that? Because our sample is very small so it might not be representative of the whole population. Equally, the results from such a sample cannot be exactly the same results we would get from an entire population.

9+9+3=21
1234+1234+1234= 30
9+1224+12=?

Answers

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21

Answer:

9+1224+12=1245

Hope this helps

If b^2=a then b is what of a?

Answers

Answer:

\huge\boxed{b = √(a)}

Step-by-step explanation:

If we have an equation b^2 = a and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

b^2 = a

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

√(b^2) = √(a)

b = √(a)

So b is the square root of a.

Hope this helped!

1:: If
a
is divisible by a square of a prime number, then we cannot conclude from |2
a
|
b
2
that |
a
|
b
.

Any time
a
is divisible by a square of a prime number, =⋅
a
=
k

p
n
where ≥2
n

2
and
p
does not divide
k
, you can see that
a
divides (⋅−1)2
(
k

p
n

1
)
2
, but
a
does not divide ⋅−1
k

p
n

1
.

Part 2: If
a
is not divisible by a square of a prime number, then we can conclude from |2
a
|
b
2
that |
a
|
b
.

On the other hand, if
a
is not divisible by a square of a prime number, then =12⋯
a
=
p
1
p
2

p
n
where
p
i
is prime for all
p
. Then, assuming
a
divides 2
b
2
, you can conclude that
p
i
divides 2
b
2
, and therefore
p
i
divides
b
(from prime factorization) for all
i
. From this, you can conclude that
a
divides
b
.

( -7v 4 - 5v ) - ( -5v 3 - 2v ) + ( -7v - 6v 4 - 4v 3 ) simplified

Answers

Answer:

-13v^4 + v^3 - 10v (if simplified)

Step-by-step explanation:

combine like terms

(-7v^4 - 5v) - (-5v^3 - 2v)+ ( - 7v - 6v^4 - 4v^3)

-7v^4 + -6v^4 = -13v^4

-5v^3 + -4v^3 = v^3 (the five becomes positive because of the negative sign infront of the parenthesis) Example: -(-5v^3) = +5v^3

-13v^4 + v^3 -5v -(-2v) -7v (now we have the -2 left alone in the parenthesis which means it becomes positive too) Example: -(-2v) = +2v

-5v +2v - 7v = -3v -7v = -10v

Answer: -13v^4 + v^3 - 10v