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3 years ago

What times itself equals 30

2 answers:

7 0

You are looking for a number that, when multiplied by the same number, equals 30. This is can be written as x times x, or $x^{2}$ = 30. To find the answer, all you have to do is take the square root of 30.

$\sqrt{30}$ is approximately 5.477

ahrayia [7]3 years ago

7 0

√30 X √30 equals 30

or

5.477 X 5.477 Answer

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g$

Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

7 0

2 years ago

Solve for x. x÷(-2)=1.4

nignag [31]

Answer:

x=-2.8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I need to know The value of f(1/2)

Lostsunrise [7]

$\huge\boxed{\textsf{a.)}\ 10}$

Substitute $\frac{1}{2}$ for $x$ .

$f\left(\frac{1}{2}\right)=5\cdot4^\frac{1}{2}$

Use $a^\frac{m}{n}=\sqrt[n]{a^m}$ .

$\begin{aligned}f\left(\frac{1}{2}\right)&=5\cdot\sqrt[2]{4^1}\\&=5\cdot\sqrt[2]{4}\\&=5\cdot2\\&=\boxed{10}\end{aligned}$

7 0

1 year ago

Express each equation in the form y = mx + b: 5x + y – 3 = 0

Aleks [24]

Answer:24

Step-by-step explanation:

7 0

3 years ago

If you have a 100 point test and you have a c, what grade will you have if u get a d if

JulsSmile [24]

Probably a C-, but it depends on how many other grades are in the gradebook and the exact percentage of your grade.

8 0

3 years ago