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3 years ago

Which expressions have products less than 3 3/5? (Select all that apply)

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

1, 3 and 4.

1. 3,6>0,9
2. 3,6<4,725
3. 3,6>1,575
4. 3,6>0,54

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A garden snail traveled 1⁄40 of a mile in 1⁄2 an hour. What was the speed of the snail?

Ratling [72]

1/40 in 30 mins = 2/40 in 1 hour

2/40= 0.05 miles per hour

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3 years ago

Which equation of the least squares regression line most closely matches the data set?

Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x 0 2 4 6 8

y 45 51 57 61 75

Let the equation that shows the above data,

y = b + a x ---------(1)

$\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}$

$\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}$

By the above table,

$\sum x = 20$

$\sum xy = 1296$

$\sum x^2 = 120$

$\sum y = 289$

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

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3 years ago

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What is an equivalent expression of 12+18n+7-14n

Harman [31]

The equivalent expression -

4n + 19

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3 years ago

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Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1

salantis [7]

Answer:

[f(2) - f(-1)]/3

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

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3 years ago

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Insert five numbers between 1/27 and 27 to form a geometric sequence. there are 2 answers

sattari [20]

Answer:

1/27, 1/9, 1/3, 1, 3, 9, 27

27, 9, 3, 1, 1/3, 1/9, 1/27

Step-by-step explanation:

The nth term of a geometric sequence is:

aₙ = a₁ rⁿ⁻¹

If 1/27 is the first term, and 27 is the 7th term, then:

27 = 1/27 r⁷⁻¹

27 = 1/27 r⁶

27² = r⁶

27 = r³

r = 3

This sequence is 1/27, 1/9, 1/3, 1, 3, 9, 27.

On the other hand, if 27 is the first term, and 1/27 is the 7th term, then:

1/27 = 27 r⁷⁻¹

1/27 = 27 r⁶

1/27² = r⁶

1/27 = r³

r = 1/3

This sequence is 27, 9, 3, 1, 1/3, 1/9, 1/27.

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3 years ago