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Rom4ik [11]
3 years ago
7

Convert the repeating decimal to a rational number 0.4000

Mathematics
2 answers:
atroni [7]3 years ago
5 0

Answer:

<u>IF the repeating decimal is 0.4000</u> the rational number is 0.4

neonofarm [45]3 years ago
3 0

Answer:

2/5

Step-by-step explanation:

0.4000/1 *10/10=4/10/2/2=2/5

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What is the range of this?
emmainna [20.7K]
You have the correct answer. The answer is choice D) Set of real numbers less than -1. Nice job. 

As x approaches negative infinity, then -3^x approaches 0 though never actually gets there. So overall, f(x) approaches -1 as x approaches negative infinity. Plugging in x = 0 leads to f(x) = -2 which supports choice D.
7 0
3 years ago
Question 1.
tangare [24]

Answer:

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 803,000,000New Number: 8.03000000Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.03000000Decimal Count:12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000

7 0
2 years ago
What is the vertex of the function y=|x+3| - 2?
mylen [45]

Answer:

3. (-3,-2)

Step-by-step explanation:

For an absolute value the equation, the transformations are as shown:

y= ±a|b(x-h)|+k.

'h' and 'k' are the vertex coordinates, meaning if y= |x+3|-2:

h= -3

and k= -2

Therefore, we get:

(-3,-2)

4 0
3 years ago
Read 2 more answers
MATH PLEASE HELP MAD POINTS
ELEN [110]
6 points on the graph.
6 0
3 years ago
What is the distance between the points (-4, 2) and (1, -3) on the coordinate plane?
ruslelena [56]

Answer:

A. 7.07 units

Step-by-step explanation:

Use the distance formula for coordinates:

d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2   }

Fill in the coordinates accordingly:

d=\sqrt{(1-(-4))^2+(-3-2)^2}

which simplifies down to

d=\sqrt{25+25}

which is of course

d=\sqrt{50}

Plug that into your calculator and you'll get the answer

4 0
3 years ago
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