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kolbaska11 [484]
3 years ago
10

Please help its due today

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0
The answer is x and y have a weak, positive correlation.
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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
What is 60% out of 40?
Afina-wow [57]

Answer:

24

Step-by-step explanation:

Divide 40 by 10 and multiply your answer by 6

8 0
3 years ago
Felicia got a designer job with a company that pay $55,000/year. What is Felicia's gross monthly income?
dimulka [17.4K]

Answer:

Felicia's gross monthly income = $4,583.33 (Approx.)

Step-by-step explanation:

Given:

Annual income = $55,000

Find:

Felicia's gross monthly income

Computation:

Gross income per month = Annual salary / Number of month in year

Gross income per month = Annual salary / 12

Felicia's gross monthly income = Annual salary / 12

Felicia's gross monthly income = 55,000 / 12

Felicia's gross monthly income = $4,583.33 (Approx.)

3 0
3 years ago
Find the area of the square if the circumference of the circle is 32.97 in
Ivanshal [37]

Answer: 86.5 in²

Step-by-step explanation: Circumference is2·pi·r= 32.97 in.

Radius r = 32.97 in/ 2pi = 5.247 in. Area is pi·r²

4 0
3 years ago
Two arcs are congruent if they have the same measure and they belong to ________ or to __________. (Check all that apply.)
Nonamiya [84]

Answer:

the same circle,congruent circles

Step-by-step explanation:

i just did it lol

8 0
4 years ago
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