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2 years ago

Situation:

Mathematics

1 answer:

bixtya [17]2 years ago

7 0

Answer:

t = 6162 years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

If the skull contains 54% of its original amount of C14, then that means that :

we use this to solve for the time (t) in our equation:

which rounded to the nearest year as requested gives :

t = 6162 years

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What does <br><br>OH= and PK=

trapecia [35]

The measure of OH and PK are 10 and 8 respectively

<h3>Circle theorems</h3>

These are theorem used to solve for the angles in a circle. From the given diagram, the triangle OHK projects from the chord HK

This makes the triangle an isosceles triangle and since two of their sides are equal, hence OH = OK

Given that OK = 10, hence the measure of OH is 10

Similarly the measure of HP and PK are also equal

Learn more on circle theorem here: brainly.com/question/6240879

#SPJ1

4 0

2 years ago

A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p

Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where n= Sample size.

$\mu$ = Population mean

$\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation.

As per given , we have $\mu=120$ (average infants contracted typhoid each month)

$\sigma=40$

n= 4 (No. of months)

$\overline{x}=90$

Then , the value of the appropriate test statistic will be :

$z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}$

$z=\dfrac{-30}{\dfrac{40}{2}}$

$z=\dfrac{-30}{20}$

$z=-1.5$

Hence, the value of the test statistic = -1.5

8 0

3 years ago

Please help asap, will mark Brainliest xoxo

IgorC [24]

Answer/Step-by-step explanation:

Given, $b(x) = (\frac{6}{7})^{x}$

The table for the function are:

When x = -2

$b(-2) = (\frac{6}{7})^{-2}$

$b(-2) = \frac{1}{(\frac{6}{7})^{2}}$

$b(-2) = \frac{1}{(\frac{36}{49})}$

$b(-2) = 1*\frac{49}{36}$

$b(-2) = \frac{49}{36}$

When x = -1

$b(-1) = (\frac{6}{7})^{-1}$

$b(-1) = \frac{1}{(\frac{6}{7})}$

$b(-1) = 1*\frac{7}{6}$

$b(-2) = \frac{7}{6}$

When x = 0

$b(0) = (\frac{6}{7})^{0}$

$b(0) = \frac{6^0}{7^0}$

$b(0) = \frac{1}{1}$

$b(0) = 1$

When x = 1

$b(1) = (\frac{6}{7})^{1}$

$b(1) = \frac{6}{7}$

When x = 2

$b(2) = (\frac{6}{7})^{2}$

$b(2) = \frac{6^2}{7^2}$

$b(2) = \frac{36}{49}$

3 0

3 years ago

What is the answer I have been Stuck on this question for the longest

Ainat [17]

-3(x - 3) > 5 - 5x
use the distributive property

-3x + 9 > 5 - 5x
subtract 5 from both sides

-3x + 4 > -5x
add -3x to both sides

4 > -2x
divide both sides by -2 to isolate x

x > -2

The correct answer is D. x > -2.

5 0

3 years ago

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Please Help! Knowing the negative sign (–) also means "opposite", how do you we read this expression, -8 • 2?

ycow [4]

The answer is -12468

7 0

3 years ago

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