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2 years ago

Find the range of the following list of numbers: 16, 23, 12, 12, 20, 21, 16, 33, 21, 16.

Mathematics

2 answers:

yulyashka [42]2 years ago

3 0

Add all the numbers together then divide by the amount there is so the answer is B

Pepsi [2]2 years ago

3 0

It’s A because 33-12 is 21

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If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 an

Elza [17]

Answer:

See explanation

Step-by-step explanation:

1. R is the set of all integers with absolute value less than 10, thus

$R=\{a\in \mathbb{Z}\ :\ |a|$

2. A is its subset containing all natural numbers less than 10, thus

$A\subset R\\ \\A=\{b\in \mathbb{N}\ :\ b$

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

$2x+5$

Thus,

$B\subset R\\ \\B=\{c\in \mathbb{Z}\ :\ 2c+5$

See the diagram in attached diagram.

Note that

$A\cup B=R\\ \\A\cap B=\{1\}.$

4 0

3 years ago

What is the common denominator of x+5/x+8 =1+6/x+1

Kobotan [32]

It’s going to be x+8

3 0

2 years ago

Read 2 more answers

Figure 1 is dilated to get Figure 2.

Anastasy [175]

Answer: 2.25

Divide the corresponding values. You'll divide figure 2's length over figure 1's corresponding length. So 18/8 = 2.25

This means each side of figure 2 is 2.25 times larger than the corresponding side for figure 1

3 0

3 years ago

Read 2 more answers

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.

Orlov [11]

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by $4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82$

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

$4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82$

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4 0

3 years ago

Which shows the most reasonable way to estimate 3 4/7 (-2 1/12) using compatible fractions

docker41 [41]

Answer:

B). 3 1/2(-2) = -7

Step-by-step explanation:

Let's evaluate the expression so as to be able to get the right estimate.

3 4/7 (-2 1/12)

=3 4/7 (-25/12)

= 25/7 * -25/12

= -625/84

= -7 37/84

Approximately it's equal to ,-7

4 0

3 years ago