A line passes through the points (5, –7.5) and has a y-intercept of 10.

Mathematics

1 answer:

brilliants [131]2 years ago

4 0

Answer:y=0.5x+10

Step-by-step explanation:

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10 8 12 10 14 ? a. 16 b. 10 c. 12 d. 18

ahrayia [7]

Answer:

Step-by-step explanation:

10 8 subtract 2

8 12 add 4

12-10 subtract 2

10 14 add 4

Now we subtract 2

14-2 = 12

3 0

2 years ago

Billy is monitoring the exponential decay of a radioactive compound. He has a sample of the compound in a test tube in his lab.

Over [174]

Solution:

Formula for radioactive Decay is given by

$R_{0}= R(1-\frac{S}{100})^t$

$R_{0}$ = Initial Population

R = Remaining population after time in hours

Rate of Decay = S % per hour

Initial Population = 72 grams

Final population = 15 grams

Rate of Decay = 35 % per hour

Substituting the values to get value of t in hours

$72=15(1-\frac{35}{100})^t\\\\ 4.8= (0.65)^t\\\\ t= -3.64$ →→1 St expression

But taking positive value of t , that is after 3.64 hours the sample of 72 grams decays to 15 grams at the rate of 35 % per hour.

Now , it is also given that, Once the sample reaches a mass of 15 grams, Billy will continually add more of the compound to keep the sample size at a minimum of 15 grams.

Substituting these in Decay Formula

Final Sample = 15 gm

Starting Sample = 15 +k, where k is amount of sample added each time to keep the final sample to 15 grams.

Time is over 3.64 hours i.e new time = 3.64 + t

Rate will remain same i.e 35 % per hour.

$15=(15+k)(1-\frac{35}{100})^{3.64+t}$ →→→ Final expression (Second) , that is inequalities can be used to determine the possible mass of the radioactive sample over time.