A patient is given a 50 mg dose of medicine the medicines affective Ness decreases every hour at a constant rate of 40% what is the exponential decay function that models this scenario how much medicine will be left in the patient's system after two hours

Answers

Answer 1
Answer: The following formula is used to find the answer.
                                       D = 50 mg (0.6^n)
D is the dosage 
n is at any hour 
Using this formula and solving the equation for it, the answer is 18.

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What is the equation of the line?

I NEED HELP ASAP PLEASE HELP

Answers

Answer: C

Step-by-step explanation:

Answer:

Answer: C

Step-by-step explanation:

When looking at the whole number, You always want to look at the tenths place to see of it's 5 or higher.

A line passes through A(3,7) and B(-4,9). Find the value of a if C(a, 1) is on the line.

Answers

Answer:  a=24

Step-by-step explanation:

Lets find the line's  formula (equation of the line).

As known the general formula of any straight line (linear function) is

y=kx+b

Lets find the coefficient k= (Yb-Ya)/(Xb-Xa)=(9-7)/(-4-3)=-2/7

(Xb;Yb)- are the coordinates of point B

(Xa;Ya) are the coordinates of point A

Now lets find the coefficient b.  For this purpose we gonna use the coordinates of any point A or B.

We will use A

7=-2/7*3+b

7=-6/7+b

b=7 6/7

So the line' s  equation is y= -2/7*x+7 6/7

Now we gonna find the value of a usingcoordinates of point C.

Yc=1,  Xc=a

1=-2/7*a+7 6/7

2/7*a= 7 6/7-1

2/7*a=6 6/7

(2/7)*a=48/7

a=48/7: (2/7)

a=24

Answer:

a=24

Step-by-step explanation:

A soccer player scored 12 goals this season. He scored 30% of the goals for his team this season. How many goals did the entire team score this season?

Answers

Answer:

40 goalas

Step-by-step explanation:

30% x ? = 12

12/30% =

12/(30/100) =

(100 x 12)/30 =

1,200/30 =

40

1) A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correctly find the length of the tree's shadow? A) x 28 = 11 15 B) x 28 = 15 11 C) 28 x = 11 15 D) x 15 = 11 28

Answers

D

The model involves similar triangles with the ratios of corresponding sides being equal

let x be the length of the tree's shadow, then

(28)/(15) = (x)/(11) ( cross- multiply )

15x = 11 × 28



Answer:

D

Step-by-step explanation:

i went to K12

"India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer assumes the following probability distribution for the household size in India. Col1 Household Size 1 2 3 4 5 6 7 8 Col2 Probability 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 a. What is the probability that there are less than 5 members in a household in India"b. What is the probability that there are 5 or more members in a typical household in India? (Round your answer to 2 decimal places.)Probability
c. What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)

Probability

Answers

The probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively

Probability distribution

Given the probability distribution for the household size in India as shown;

X       1      2     3        4      5       6        7      8       Total

P  0.02  0.09  0.18  0.25  0.20  0.12  0.08  0.06    1.00

a) The probability that the number of members in a typical household in India is strictly less than 5 is given as:

P(X < 5) = P(X=1) +  P(X=2) +  P(X=3) +  P(X=4)

P(X < 5) =  0.02+ 0.09 + 0.18 + 0.25

P(X < 5) = 0.54

b) The probability that the number of members in a typical household in India is greater or equal to 5 is given as:

P(X ≥ 5) = P(X=5) +  P(X=6) +  P(X=7) +  P(X=8)

P(X  ≥ 5) =  0.20 +  0.12 + 0.08 + 0.06

P(X  ≥ 5) = 0.46

c) The the probability that the number of members in a typical household in India is strictly between 2 and 5

P(2 < X < 5) = P(X=3) +  P(X=4)

P (2 < X < 5) =  0.18 + 0.25

P (2 < X < 5) = 0.43

Hence the probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively

Learn more on probability distribution here: brainly.com/question/24756209

Answer:

0.54,0.46,0.43

Step-by-step explanation:

Given that India is the second most populous country in the world, with a population of over 1 billion people.

The pdf of household size say X in India varies from 1 to 8.

The distribution is shown as follows

X       1      2     3        4      5       6        7      8       Total

P  0.02  0.09  0.18  0.25  0.20  0.12  0.08  0.06    1.00

a) the probability that there are less than 5 members in a household in India

=P(X<5)

=P(1 to 4) = 0.54

b.  the probability that there are 5 or more members in a typical household

in India

=P(X\geq 5) = P(5 to 8)\n\n= =0.46

c) the probability that the number of members in a typical household in India is strictly between 2 and 5

=P(2<x<5) = P(3)+P(4)\n=0.43

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP​

Answers

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5