Which expression is equivalent to (4(5^3)1/2?

Mathematics

1 answer:

Feliz [49]3 years ago

6 0

Answer:

$10\sqrt{5}$

Step-by-step explanation:

In this problem, we are given expression in exponent form and we have to simplify the expression.

The expression is $[4(5^{3} )]^{\frac{1}{2} }$

Now, we know that $5^{3} = 5 \times 5 \times 5 = 125$

So, $4(5^{3} ) = 4 \times 125 = 500$

Now, 500 can be written as 100 × 5 = 10² × 5

Therefore, $[4(5^{3} )]^{\frac{1}{2} } = (500)^{\frac{1}{2} } = 10\sqrt{5}$ {Since 500 = 100 × 5 = 10² × 5} (Answer)

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Using the remainder theorem, that is

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Read 2 more answers

A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho

IRISSAK [1]

<h2>Hello!</h2>

The answer is: 23.77 hours

$Total(t)=Start*2^\frac{t}{15}$

Where:

Total(t) is equal to the amount for a determined time (in hours)

<em>Start</em> is the original amount

<em>t </em>is the time in hours.

For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:

$Total(15)=100*2^\frac{15}{15}=100*2^{1}=100*2=200$

To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:

$300=100*2^{\frac{t}{15} } } \\\frac{300}{100}=2^{\frac{t}{15} } }\\log(3)=log(2^{\frac{t}{15} })\\\\\\log(3)=\frac{t}{15}*log2\\t=\frac{log(3)}{log(2)} *15=23.77$