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3 years ago

Guys please help me with this question. Due now

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

Times twelve of the seventy power equals nine times two

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

mina [271]

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.):

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

7 0

3 years ago

Find the error & find the correct answer 2In(x)=In(3x)-[In(9)-2In(3)] In(x^2)=In(3x)-[In(9)-In(9)] In(x^2)=In(3x)-0 In(x^2)=

Art [367]

Answer:

Error: $lnx^2=ln 3x$ not $ln\frac{3x}{0}$

Solution:x=0 and 3

Step-by-step explanation:

We have to find the error and correct answer

Given: $2ln x=ln(3x)-[ln9-2ln(3)]$

$lnx^2=ln(3x)-[ln9-ln3^2]$

Using the formula

$alog b=logb^a$

$lnx^2=ln(3x)-[ln9-ln9]$

$lnx^2=ln(3x)-0$

$lnx^2=ln(3x)$

$x^2=3x$

$x^2-3x=0$

$x(x-3)=0$

Therefore, x=0 and x=3

But last step in the given solution

$lnx^2=ln\frac{3x}{0}=\infty$

It is wrong this property is used when

$log m-log n$ then

$log\frac{m}{n}$

Hence, the student wrote $lnx^2=ln\frac{3x}{0}$ instead of $lnx^2=ln3x$ and solution is given by

x=0 and x=3

4 0

3 years ago

What is the graph showing? I’m really confused.

Mamont248 [21]

Answer:

It is showing a slope of 1/4.

Step-by-step explanation:

It is also what a linear equation would look like on a graph.

6 0

3 years ago

Sam will take four science tests this quarter. Her scores on three of the tests are shown below.

GuDViN [60]

Answer:

What are the scores?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Lydia is painting flower vases. Each vase takes 3?16 of a quart of paint. She has 21?2 quarts of paint. How many flower vases ca

poizon [28]

Answer:

Step-by-step explanation:

Given that Lydia is painting flower vases.

Paint required for painting one flower case = 3/16 quart

total paint available with Lydia = 21/2 quart

We have to find the no of flower cases that can be painted.

This is a problem of direct variation since when no of flower cases increase paint required also increases.

3/16 quart for 1 flower case

Hence 21/2 quart for 21/2 divided by 3/16

= 21*16/(3*2) (by rule for fraction division)

= 7(8)

= 56

5 0

3 years ago