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3 years ago

HELP plz I need it right now

Mathematics

1 answer:

nlexa [21]3 years ago

7 0

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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

The sum of three consecutive even integer is 42. What is the value of the second largest integer

Naya [18.7K]

Answer: 14
Explanation: x + x + 2 + x + 4 = 42. x = 12. 12 + 2 = 14. I don’t really know how to explain it on words

5 0

3 years ago

What is the rate of change of the function shown in the table below

weqwewe [10]

Answer: -3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The graph of a linear system is shown

nirvana33 [79]

Answer:

The coordinates of the point of intersection is (2, 7)

Step-by-step explanation:

From the graph, we have the two intersecting straight lines each described as follows;

The first straight line graph from the left, we have;

y-intercept = (0, 5), x-intercept = (-5, 0) therefore, the slope, m = (0 - 5)/(-5 - 0) = 1

The equation of the graph is slope-intercept form is y - 5 = 1×(x - 0)

Which gives;

y = x + 5.........................(1)

The second lie graph has y-intercept = (0, 9), x-intercept = (9, 0) therefore, the slope, m = (0 - 9)/(9 - 0) = -1

The equation of the graph in slope-intercept form is y - 9 = -1×(x - 0)

Which gives;

y = -x + 9.......................(2)

To find the point of intersection, we equate equation (1) to equation (2), which are the y-value function of x, we have;

x + 5 = -x + 9

x + x = 9 - 5

2·x = 4

x = 4/2 = 2

x = 2

From either equation (1) or equation (2), we can find the value of y as follows;

y = -x + 9, where x = 2 gives;

y = -2 + 9 = 9 - 2 = 7

y = 7

The coordinates of the point of intersection is (2, 7).

4 0

3 years ago

How do you add 323+412 in base 5

Alenkasestr [34]

Answer:

Addition of 323+412 = 1240 at base 5

Step-by-step explanation:

We have to add 323+412 on base 5

As we have to use base 5 for addition so we can use only numbers 0,1,2,3.4 and 5 as we use 0,1,2,3,4,5,6,7,8,9,10 in decimal when base is 10

Means in addition of sum is greater than 5 then we have to take carry as in base 10 we take carry if the sum is greater than 10

So sum 323+412 = 1240

8 0

3 years ago