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3 years ago

How do i factor the following expression 16z^2-25

2 answers:

7 0

This is the same as $a^{2}- b^{2}$
it factorizes into (a-b)(a+b)
so root of 16z^2 would be 4z
root of 25 would be 5
so factorizing it will give you
(4z - 5)(4z + 5)

mart [117]3 years ago

3 0

16z^2-25=0
(4z)^2-(5)^2=0
This is in the form of a^2-b^2=(a+b)(a-b)
(4z)^2-(5)^2=(4z+5)((4z-5)

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tangare [24]

The correct answer is 20.7 inches of snow

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3 years ago

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3 years ago

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1) The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model t

marshall27 [118]

Answer:

1. a) population of the town in 2024 = 8697

2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.

Step-by-step explanation:

1) the population of a town was, $N_{0} = 7652$ in 2016.

a) Exponential growth model is given by $N(t) = N_{0} e^{kt}$ where t is the time in years after 2016.

Year 2016 is when t = 0.

k = growth rate constant = 1.6% = 0.016

i) therefore the population of the town in 2024

= $N = N_{0} e^{kt} = 7652e^{0.016\times8} = 8697$ ( to the nearest whole number)

2.) log (I $\times$ M $\times$ S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake

therefore I $\times$ M $\times$ S = $10^{magnitude\hspace{0.1cm}of\hspace{0.1cm}earthquake}$

therefore $\frac{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}1 }{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}2} = \frac{10^{8} }{10^{6} } = 100$

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3 years ago

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Darina [25.2K]

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3 years ago

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