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lisov135 [29]
3 years ago
11

1.) Is this number rational or irrational?

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

1) Irrational.

2) Irrational.

Step-by-step explanation:

We have been given two numbers. We are asked to determine whether the given numbers are rational or irrational.

We know that a number is a known as rational number, when we can represent it as a fraction or it has terminating decimals.

A number is a known as rational number, when it has non-repeating and non-terminating decimals.

1). -\frac{\sqrt{3}}{5}+10.8

-0.3464101615137755+10.8=10.4535898384862245

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

2) \sqrt{3}=1.7320508075688773

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

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Mashcka [7]

Answer:

a. 7

Step-by-step explanation:

7x7=49

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3 years ago
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A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the bod
adell [148]

Answer: a - 4.512 hours

b - 1.94 hours

Step-by-step explanation:

Given,

a) A(t) = 10 (0.7)^t

To determine when 2mg is left in the body

We would have,

A(t) = 2, therefore

2 = 10(0.7)^t

0.7^t =2÷10

0.7^t = 0.2

Take the log of both sides,

Log (0.7)^t = log 0.2

t log 0.7 = log 0.2

t = log 0.2/ 0.7

t = 4.512 hours

Thus it will take 4.512 hours for 2mg to be left in the body.

b) Half life

Let A(t) = 1/2 A(0)

Thus,

1/2 A(0) = A(0)0.7^t

Divide both sides by A(0)

1/2 = 0.7^t

0.7^t = 0.5

Take log of both sides

Log 0.7^t = log 0.5

t log 0.7 = log 0.5

t = log 0.5/log 0.7

t = 1.94 hours

Therefore, the half life of the drug is 1.94 hours

6 0
3 years ago
-3x+6=21 -3x+6&lt;21 which statement best describes the process used to slove the equations
sukhopar [10]

Answer:

-3x-3x=21-6

9x=15

x=15/9

5 0
3 years ago
William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?
BigorU [14]

Answer:

24

Step-by-step explanation:

Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people

Now only the remaining 3 can come second - 3 people

Next, only the remaining 2 people can come third - 2 people

Finally, one person comes last - 1 person

4 x 3 x 2 x 1 = 24

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Identify the transformation that maps the figure onto itself <br><br> Please help
Lapatulllka [165]

Answer:

  B.  Rotate 180° clockwise around (8, 4) and reflect across the line x=8.

Step-by-step explanation:

The figure is symmetrical (order 2) about the point (8, 4), and about the lines x=8 and y=4.

Hence, rotation 180° about the point (8, 4) makes the figure look unchanged. Since the figure is also symmetrical about the line x=8, reflecting it across that line will also leave the figure unchanged.

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Any of the other transformations have the effect of translating the figure somewhere else.

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