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Greeley [361]
3 years ago
13

Help

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

The larger number is 120 and the smaller number is 80
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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
PLEASE HELP ME OR MY MOMS GOING TO GROUND ME FOR THE SUMMER THIS IS A LATE ASSIGNMENT HELPPPPPPPPPPPP
Ganezh [65]

Answer:

64 times 7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
#81 please!!!!!! I’ll rate you!
natta225 [31]

The circumference of a circle with radius r is

C=2\pi r

So, one quarter of a circumference will be

\dfrac{C}{4}=\dfrac{\pi r}{2}

You radius is 6, so we have

\dfrac{C}{4}=\dfrac{6\pi}{2}=3\pi \approx 9.42

6 0
4 years ago
I need help with this question please help me
Anastasy [175]
By using a Venn diagram
7 0
3 years ago
Read 2 more answers
You claim you are psychic and can predict a coin flip 60% of the time. To test your claim, your friend has you predict a coin fl
Salsk061 [2.6K]

Answer:

You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance. ( D )

Step-by-step explanation:

let : P = 0.6

x = 135 , n = 200

<em>p </em>= 135 / 200 = 0.675

H0 : P = 0.6

Ha : P ≠ 0.6

performing the test statistic = ( 0.675 - 0.6 ) / \sqrt{\frac{0.60(1-0.60)}{200} }

= 0.075 / 0.0346 ≈ 2.17

p-value = 2 * P ( Z > - 2.17 )  ( using excel function ; NORMSDIST )

            = 2 * 0.015  = 0.03  

5 0
3 years ago
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