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Tamiku [17]
3 years ago
12

Which of the following quantities are continuous?

Mathematics
2 answers:
Oxana [17]3 years ago
4 0

Answer:

A. only II

Step-by-step explanation:

Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's divisible unit.  

The number of books and bracelets also discrete, thus the answer is A.

zalisa [80]3 years ago
4 0

Answer:

Only ll

Step-by-step explanation:

Discrete quantities are countable and restricted to specific values.

A continuous quantity is not restricted to specific values and can occupy any value over a continuous range.

The population of dogs in a village can be any positive integer. Since the population is countable and can be represented by a set of specific values, the population of dogs in a village is a discrete quantity.

The distance covered by a train can be any real number. Since distance is a variable that can occupy any value over a continuous range, the distance covered by a train can be classified as a continuous quantity.

The number of books shelved in the fiction section of a library can be any positive integer. Since the number of books are countable and can be represented by a set of specific values, the number of books shelved in the fiction section of a library is a discrete quantity.

The number of bracelets sold can be any positive integer. Since the number of bracelets are countable and represented by a set of specific values, the number of bracelets sold is a discrete quantity.

Therefore, only II represents a continuous quantity

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Sliva [168]

Answer:

36 cm

Step-by-step explanation:

The formula to find the area of a triangle is A=1/2bh where b stands for base and h for height.

So, 8 times 9 equals 72, and 72 divided by 2 is 36.

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2 years ago
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

3n = 5d and 2n - 4 = d - 2

Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ \frac{n}{d}= \frac{3}{5} – – – – (1)

Do cross multiplication, we get

⇒ 5n = 3d

When the numerator and denominator are decreased by 2, the fraction is equal to \frac{1}{2}.

⇒ \frac{n-2}{d-2}= \frac{1}{2}

Do cross multiplication, we get

⇒ 2(n –2)=1(d – 2)

⇒ 2n – 4 = d – 2

Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.

6 0
3 years ago
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#4 math homework help needed. Thank you
liubo4ka [24]

Answer:

C. -1

Step-by-step explanation:

f(x) = 2/ (-x-1)

As we can see, f(x) is a fraction with two components: numerator (2) and denominator (-x-1).

According to the theorem, the fraction only exists when its denominator is different from 0.

So that in this situation, (-x-1) has to be different from 0

- x - 1 ≠0

=> - x≠ 1

=> x ≠ -1

So that if x = -1, (-x-1) = 0, making the fraction not exist.

So the input is not allowed is x = -1

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3 years ago
In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. What is the th
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Answer:

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Step-by-step explanation

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Answer:

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Step-by-step explanation:

Solution

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