All categories

2 years ago

Which option below demonstrates the correct interval notation for a

1 answer:

3 0

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

<h3>What is interval notation?</h3>

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

Learn more about the interval notation here:

brainly.com/question/13048073

#SPJ1

You might be interested in

Find the domain and range of the function:<br> f(t)=sec[((pi)t)/4]

beks73 [17]

The domain and range of the function f(t)=sec[((pi)t)/4] are the following:

<span>Domain: All the real numbers except t = 2 + 4k, where k is an integer. </span>

Range: (-∞, -1] U [1, ∞)

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

3 0

3 years ago

Yo can somebody help me with this question

nydimaria [60]

Answer:

$\huge\boxed{x=9}$

Step-by-step explanation:

$\angle A\cong\angle B\qquad\text{therefore}\qquad AC\cong BC\Rightarrow|AC|=|BC|\\\\\text{We have}\ |AC|=20;\ BC=3x-7.\\\\\text{Therefore}\\\\3x-7=20\qquad|\text{add 7 to both sides}\3x-7+7=20+7\\\\3x=27\qquad|\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9$

6 0

2 years ago

Perform the indicated operation and write the result in the form a + bt.<br> (4 +9t)(7 - 4t)

bulgar [2K]

The answer is 64+47i

7 0

3 years ago

A baker bakes 50 muffins. 1/5 of the muffins are chocolate chip. 1/2 of the muffins are blueberry. The rest are cinnamon. How ma

vitfil [10]

Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = $\frac{1}{5}*50$

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = $\frac{1}{2}*50$

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

5 0

3 years ago

28 students in the class 75% pass how many students pass

SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction $\frac{75}{100}$ (which is 75% represented as a fraction).

$\frac{X}{28} = \frac{75}{100}$

The fraction $\frac{75}{100}$ can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with $\frac{3}{4}$ .

$\frac{X}{28} = \frac{3}{4}$

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

$\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28$

The denominators cancel out leaving you with a simple equation to simplify.

$4* X = 3 * 28$

$4X = 84$

Finally, divide both sides by four in order to isolate the variable.

$\frac{4X}{4} = \frac{84}{4}$

X = 21.

5 0

3 years ago