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2 years ago

A matrix contains 60 elements. Which of the following cannot equal the number of rows of the matrix?

Mathematics

1 answer:

avanturin [10]2 years ago

6 0

Given:

Matrix = 60 elements

To solve this, we need to take into account that each row must contain the same number of elements. So, we need to find which of the options do not divide evenly into 60 (the options are 30, 60, 10, and 18).

So we check each of the choices to see if 1 of them divides evenly with 60.

60 / 60 = 1 (divides evenly)

60 / 30 = 2 (divides evenly)

60 / 10 = 6 (divides evenly)
60 / 18 = 3.3.3333333333333333333333333333333 (does not divide evenly)

Therefore, 18 cannot equal the number of rows of the matrix.

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Assuming that the Chinese population continues to grow at the same rate, how many years until the population reaches 1.5 billion

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Answer:

29 years

Step-by-step explanation:

The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method

after x years, the population will be

1.3 * 1.0049^x

so you just need to solve

1.3 * 1.0049^x = 1.5

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x log 1.0049 = log(1.5/1.3)

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2 years ago

Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, ho

lora16 [44]

Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × $10^{10}$

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

Now, According to question

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × $10^{10}$ = n × 3 %

Or, 3.7 × $10^{10}$ = n × $\dfrac{3}{100}$

Or, n = 3.7 × $10^{10}$ × $\dfrac{100}{3}$

Or, n = $\frac{3.7\times 10^{12}}{3}$

i.e n = 1.233 × $10^{12}$

Or, Total quantity of whole skin cell = n = 1.233 × $10^{12}$

Now, Again

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = $\frac{97}{100}$ × n

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∴ x = 119.601 × $10^{10}$

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × $10^{10}$

Hence, The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ . Answer

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