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givi [52]
4 years ago
13

Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. W

hat is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.
Mathematics
1 answer:
vlabodo [156]4 years ago
4 0

Answer:

n = 5

Step-by-step explanation:

100,000 = 10^n

Take the log of both sides

log 100,000 = log 10^n

log 100,000 = n * log 10

Dividing both sides by log 10

log 100,000 / log 10 = n * log 10 / log 10

n = log 100,000 / log 10

= 5 / 1

n = 5

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Galina-37 [17]

Answer:

the correct option is C i.e. 8x^4yz^4\sqrt{2yz}

Step-by-step explanation:

We need to solve the expression :

\sqrt{128x^8y^3z^9}

Factors of 128 are: 2x2x2x2x2x2x2

and we know √ = 1/2

and √a.b = √a.√b

Solving:

=\sqrt{128x^8y^3z^9}\\\\=\sqrt{128} \sqrt{x^8} \sqrt{y^3} \sqrt{z^9}\\=\sqrt{2x2x2x2x2x2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=\sqrt{2^2x2^2x2^2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=(2^2)^{1/2} (2^2)^{1/2}(2^2)^{1/2} (2)^{1/2} (x^8)^{1/2} (y^2)^{1/2} (y)^{1/2} (z^8)^{1/2} z^{1/2}\\=2.2.2.(2)^{1/2}x^4y(y)^{1/2}z^4(z)^{1/2}\\=8x^4yz^4\sqrt{2yz}

So, the correct option is C i.e. 8x^4yz^4\sqrt{2yz}

7 0
3 years ago
19. What is the value of the expression below?<br> 9 + (7 x 4) - 13
liubo4ka [24]

Answer:

24

Step-by-step explanation:

9+(7x4)-13

9+28-13

37-13

24

7 0
3 years ago
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The answer would be -17/15 or -1 2/15
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andre [41]

Answer:

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Step-by-step explanation:

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Need help ASAP. Please
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Answer:

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Step-by-step explanation:

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