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Pavlova-9 [17]
2 years ago
10

Write the interval using interval notation to describe the set of values shown above.

Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

The interval on the number line is (-∞, 2) U [3, ∞)

<h3>How to determine the interval?</h3>

From the number line, we have the following inequalities

x < 2 and x ≥ 3

In inequalities, < and > are represented by brackets i.e. ( and )

While ≤ and ≥ are represented by square brackets i.e. [ and ]

So, we have:

x < 2 and x ≥ 3 = 2) and [3

The intervals must be closed and opened with infinity symbols.

So, we have:

x < 2 and x ≥ 3 = (-∞, 2) and [3, ∞)

Replace and with U

x < 2 and x ≥ 3 = (-∞, 2) U [3, ∞)

Hence, the interval on the number line is (-∞, 2) U [3, ∞)

Read more about interval notation at:

brainly.com/question/13048073

#SPJ1

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Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double
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Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

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Let x be the time in years after 1965,

By the above statement,

The population will double if,

x × 2 = 72 ⇒ x = 36

Hence, the after 36 years since 1965 the population will be doubled,

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Find the volume of the figure.
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Simplify the expression. 15+​(−4​)− 4/5j− 2/5j+6
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The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

  • k - Scale factor
  • A' - Area of the rectangle R.
  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

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Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

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