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olga nikolaevna [1]
3 years ago
14

Use interval notation to express the following: The set of all numbers less than 2.

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

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Which of the following terms correctly describe the object below?<br> Check all that apply.
nadya68 [22]

Answer:

Pyramid

Step-by-step explanation:

Because a pyramid has a polygon as its base

3 0
2 years ago
what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
Crazy boy [7]

Let

a1=768\\a2=480\\a3=300\\a4=187.5

Step 1

Find \frac{a2}{a1}

\frac{a2}{a1} =\frac{480}{768}

Divide by 96 numerator and denominator

\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\   \\ \frac{480}{768}=\frac{5}{8}

a2=a1*\frac{5}{8}

Step 2

Find \frac{a3}{a2}

\frac{a3}{a2} =\frac{300}{480}

Divide by 60 numerator and denominator

\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\   \\  \frac{300}{480}=\frac{5}{8}

a3=a2*\frac{5}{8}

Step 3

Find \frac{a4}{a3}

a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}

\frac{a4}{a3} =\frac{\frac{375}{2}}{300}  \\ \\  \frac{a4}{a3} =\frac{375}{600}

Divide by 75 numerator and denominator

\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\   \\ \frac{375}{600}=\frac{5}{8}

a4=a3*\frac{5}{8}

In this problem

The geometric sequence formula is equal to

a(n+1)=a(n)*\frac{5}{8}\\

For n\geq 1

therefore

the answer is

the common ratio for the geometric sequence above is \frac{5}{8}



6 0
3 years ago
Read 2 more answers
Please help me simplify these expressions
Fantom [35]

Answer:

1.  -18x¹¹

2.  3n⁷

Step-by-step explanation:

For these problems, there are two things you need to worry about: negative signs and exponents.

1. Let's look at the signs first.  There is only one value with a negative sign, meaning that the negative sign will stay.

When multiplying with exponents, you have to add up the exponents.  Don't forget the numerical coefficients.

-3x² · 3x · 2x³ · x⁵ = -18x¹¹

2.  There are two negative signs in this probem, meaning that they will cancel out.  Multiply the rest like we did in the first problem.

3n² · -n² · -n³ = 3n⁷

7 0
3 years ago
Solve for the missing side length.
suter [353]
C=100.I used the Pythagorean theorem just in case next time you run into this problem. 

3 0
3 years ago
Read 2 more answers
( x - 2 ) ( x + 2 ) ( x bình + 4 ) - ( x bình - 2 ) ( x bình + 3 )
kifflom [539]

Answer:

( x - 2 ) ( x + 2 ) ( x² + 4 ) - ( x² - 2 ) ( x² + 3 )

(x²– 4) (x²+4) – (x⁴ + x² – 6)

( x⁴ – 16 ) – ( x⁴ + x² – 6 )

( x⁴ – 16 ) + ( – x⁴ – x² + 6 )

– x² – 10

I hope I helped you^_^

5 0
3 years ago
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