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LuckyWell [14K]
3 years ago
11

Situation:

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

5.6 days

Step-by-step explanation:

We are given;

Initial Mass; N_o = 25 g

Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)

k = 0.1229

Formula is given as;

N_t = N_o•e^(-kt)

Plugging in the relevant values;

12.5 = 25 × e^(-0.1229t)

e^(-0.1229t) = 12.5/25

e^(-0.1229t) = 0.5

(-0.1229t) = In 0.5

-0.1229t = -0.6931

t = -0.6931/-0.1229

t = 5.6 days

You might be interested in
the sum of two angles is 62 degrees. angle b is 108 degrees smaller than 4 times angle a. find the measures of the two angles in
timama [110]

Answer:

The measurement of angle a is 42.5°

The measurement of angle b is 19.5°

Step-by-step explanation:

Angle a = a

Angle b = b

m < a + m < b = 62°

"m <" means "measurement of angle..."

m < a + m < b = 4m < a - 108°

Subtract m < a from both sides of the equation

m < b = 4m < a - 108° - m < a

Simplify

m < b = 3m < a - 108°

Substitute into original equation

3m < a - 108° + m < a = 62°

Add m < a + 3m < a

4m < a - 108° = 62°

Add 108° to both sides of the equation

4m < a = 170°

Divide both sides of the equation by 4

m < a = 42.5°

m < b = 62° - 42.5° = 19.5°

Hope this helps :)

5 0
3 years ago
PLEASE SOMEONE HELP!!!!!!
Ray Of Light [21]

Answer:

  1394

Step-by-step explanation:

You can derive a formula for the k-th term of the sequence, but for a few terms, it is just as easy to evaluate them.

  P₂₀₁₉ = 0.81(P₂₀₁₈ +25) = 0.81(2530 +25) = 2069.55

  P₂₀₂₀ = 0.81(P₂₀₁₉ +25) = 0.81(2069.55 +25) = 1696.5855

  P₂₀₂₁ = 0.81(P₂₀₂₀ +25) = 0.81(1696.5855 +25) ≈ 1394.48

At the start of 2021, there are predicted to be 1394 eagles in the park.

4 0
3 years ago
Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast
cluponka [151]

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

4 0
3 years ago
GIVING ALL OF MY POINTS! HELP:
mojhsa [17]

Answer:

B

Step-by-step explanation:

Apex

3 0
4 years ago
What is the solution to the following system:
Ymorist [56]
I think the answer would just be at the point of intersection, or (3,-1)
4 0
4 years ago
Read 2 more answers
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