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2 years ago

Find the midpoint of the segment with endpoints of -2,-2 and 4,6

Mathematics

1 answer:

RideAnS [48]2 years ago

3 0

Answer:

( 8 , 3 )

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Midpoint formula is a mathematically equation used to measure the halfway point between two data points.

Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two. For example, suppose you want to find the midpoint between the numbers 2 and 32. First, add the two numbers: 2 + 32 = 34.

I think don't get mad if its wrong :)

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Answer:

Step-by-step explanation:

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2 years ago

8. A substance has a half life of 2.347 minutes.

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Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

$A=A_0b^{\frac{t}{c}}$

Where $A$ is the final population

$A_0$ is the initial population

$b$ is the growth factor

$c$ is the time taken for the growth 'b'

$t$ is the amount of time

Here, we are given that:

$A$ = 6. 9 grams

$A_0$ = 110.4 grams

$b = \dfrac{1}{2}$

$c = 2.347$ min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to $\frac{t}{c}$ .

Putting the values in the formula, we get:

$6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4$

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of $t$ here.

From answer of part a.):

$\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}$

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2 years ago

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