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vlabodo [156]
3 years ago
13

Which of the following equals 0.000001?

Mathematics
2 answers:
marusya05 [52]3 years ago
5 0
The best option is B. 1*10^-6.

Marizza181 [45]3 years ago
3 0

Answer:  The correct option is (B) 1\times 10^{-6}.

Step-by-step explanation:  We are to select the correct number from the options that is equal to 0.000001.

Option (A) is    

1\times 10^{-5}.

We have

1\times 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\neq 0.000001.

So, this option is not correct.

Option (B) is    

1\times 10^{-6}.

We have

1\times 10^{-6}=\dfrac{1}{10^7}=\dfrac{1}{1000000}=0.000001.

So, this option is CORRECT.

Option (C) is    

1\times 10^{-7}.

We have

1\times 10^{-7}=\dfrac{1}{10^7}=\dfrac{1}{10000000}=0.0000001\neq 0.000001.

So, this option is not correct.

Option (D) is    

1\times 10^{-8}.

We have

1\times 10^{-8}=\dfrac{1}{10^8}=\dfrac{1}{100000000}=0.00000001\neq 0.000001.

So, this option is not correct.

Thus, the correct option is (B).

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5-7
uranmaximum [27]

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

7 0
3 years ago
A bin of winter hats on clearance contains 6 green caps, 7 blue caps, and 9 red caps If you pick one without looking, what is th
SCORPION-xisa [38]

Answer:

Since it is the case of independent the answer will be 6/22

7 0
3 years ago
PLEASE HELP<br> How to do this
Ne4ueva [31]
I believe 20 is your answer. Tell me if I’m wrong.
4 0
3 years ago
HELP ASAP<br> Is 9.78778777 ... a rational or irrational number?
Travka [436]

Answer:

9.78778777 is an irrational number.

7 0
3 years ago
The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h
bezimeni [28]

Answer:


Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

t_{m}= time taken by motorcycle to travel distance between them

v_{m} = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

t_{m}= d/v_{m}

t_{m}=540/48

t_{m}= 11.25 h



t_{c}= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

v_{m} = speed of the motorcycle

speed of motorcycle is given as

v_{m} = d/t_{m}

v_{m} = 540/9

v_{m} = 60 mph


when the car and motorcycle move towards each other, the relative speed is given as

v = v_{m} + v_{c}

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

7 0
3 years ago
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