Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening. what is the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours?

a. a1=25, an= 0.40an-1 + 25

b. a1=25, an = 0.60n-1 +25

c. a1=40, an=0.60n-1 +25

d. a1 = 0.60, an = 0.40an-1

Answers

Answer 1

The recursive definition for the amount of the blood pressure medicine in Hareem's bloodstream after n hours can be defined as :

a. a1=25, an= 0.40an-1 + 25

Base Case:

The initial amount of medicine in Hareem's bloodstream after 0 hours is 25 mg.

Recursive Step:

The amount of medicine in Hareem's bloodstream after n hours can be calculated by taking 60% of the amount of medicine in his bloodstream after (n-1) hours, and then adding 25 mg.

To write this recursive definition in mathematical notation:

M(n) = 25 mg, if n = 1

M(n) = 40 mg, if n = 6

M(n) = M(n-1) + (60% * M(n-1)), if n > 6

This recursive definition represents the amount of the blood pressure medicine in Hareem's bloodstream after n hours. The base case sets the initial amount of medicine, and the recursive step calculates the amount of medicine at each hour by taking 60% of the previous amount and adding 25 mg.

The correct option is a. a1=25, an= 0.40an-1 + 25

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Related Questions

Helpppp meeeeee pleaseeeee

Helpppp meeeeee pleaseeeee

Answers

Answer:

x+3=5 is the answer you're looking for.

Answer:

x+3=5

Step-by-step explanation:

hannah was 4 liters of cooking oil in a bottle.She uses \(5 \times \frac{1}{2} \)liters of the oil.How many liters of oil are left in the bottle

Answers

\(1\frac{1}{2}=\text{ }\frac{3}{2}\)

so 1whole 1/2 = 3/2

4 - 3/2 = 5/2

answer= 5/2 litres left

Kathy ell ome pie at a bakery he cut each pie into 6 piece to ell individually he ell 5/6 of a pie each hour How many whole pie did Kathy ell in 36 hour?

Answers

Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Solve for a.

5.4 = a - (-1.8)
a =

Answers

Answer:

A = 3.6

Step-by-step explanation:

5.4 = a - (-1.8)

5.4 = a + 1.8

subtract 1.8 from both sides

3.6 = a

Hope this helps. Pls give brainliest.

Answer:

a = 3.6

Step-by-step explanation:

5.4=a−(−1.8)

Step 1: Simplify both sides of the equation.

5.4=a+1.8

Step 2: Flip the equation.

a+1.8=5.4

Step 3: Subtract 1.8 from both sides.

a+1.8−1.8=5.4−1.8

a=3.6

Lars bought a carton of
eggs for $2.19. He handed
the cashier $5.00. How
much change did Lars
receive?

Answers

Answer:

$2.81

Step-by-step explanation:

Lars will receive $2.81

Because 5.00-2.19=2.81

A maps scale is 1 inch: 2.4 miles. The map shows an airport that is 5 inches away from a city. How far away is the airport actually from the city? ____ miles

Answers

Answer:

12 miles

Step-by-step explanation:

1 times 2.4 is 2.4.  5 inches times 2.4 is 12.

What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)

Answers

The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional intercepts

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201)

Help i don’t know the answer to this

Help i dont know the answer to this

Answers

Answer:

  95°

Step-by-step explanation:

  ∠SRW is a vertical angle with respect to the one marked 95°. As such, it will have the same measure: 95°.

  m∠SRW = 95°

Consider the line 6x-7y = 7.

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

Consider the line 6x-7y = 7.

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Step-by-step explanation:

Use graphing technology to find the range of the function f(x)=x2 +6x+9

Answers

Answer:

See below.

Step-by-step explanation:

Refer to the graph.

The range of a graph is the span of y-values it covers.

From the graph, we can see that the span of y-values is all values greater than or equal to 0.

Therefore, our range is, in interval notation:

\([0,\infty)\)

Note that we use brackets with the 0 because 0 is included in our range.

In set notation, this is:

\(\{y|y\in\mathbb{R},y\geq 0\}\)

Use graphing technology to find the range of the function f(x)=x2 +6x+9

Simplify the expression below.

(xy)^8
A.
xy^8
B.
x^8y^8
C.
8xy
D.
8xy^8

Answers

Hopes this helps:

Answer: B. x^8y^8

Have a great day.

) vis directly proportional to x. If y = 60 when x = 120. Find the value of y when x =
50.

Answers

Answer: 100

Step-by-step explanation:

x = 2y

50 = 2y

so 50/2 = 25

25 = y

When A Group Of Individuals Selects A Particular Consumer-Submitted Entry, It Is Called A: Sample Premium Contest Sweepstake8.When a group of individuals selects a particular consumer-submitted entry, it is called a:SamplePremiumContestSweepstake

Answers

When a group of individuals selects a particular consumer-submitted entry, it is called a "winner." However, if the selection process is part of a marketing promotion, it could be classified as a sample, premium, contest, or sweepstake depending on the specific rules and regulations.  The correct option is A.

Generally speaking, a sample refers to a small portion of a product or service that is given away for free, a premium is a bonus item or incentive offered with a purchase, a contest involves a skill-based competition with a predetermined set of rules and criteria, and a sweepstake is a random drawing with no purchase necessary. A contest is an event where a group of individuals selects a particular consumer-submitted entry as the winner. This often involves participants submitting entries that showcase their skills, creativity, or other qualities.

The entries are then judged by a panel or group, who choose the winning submission based on predetermined criteria. In contrast, a sweepstake is a promotional event where winners are chosen randomly from all eligible entries, rather than being judged on the merits of their submission. A sample, on the other hand, typically refers to a small portion of a product provided for free to potential customers. Lastly, a premium is a reward offered to customers for making a purchase or participating in a promotion.

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Add the following fractions answer in lowest terms.

1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=


please give me Right answers please.​

Answers

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

==============================================

Solution:

\( \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} \)

suppose you are tossing a coin and it comes up heads five times in a row. the idea that the chance that the next coin toss will be heads must be very small, since that would imply six times if a row, and the odds of 6 heads in a row is 1/64, is an example of?

Answers

The Law of Large Numbers, which states that as the number of trials increases, the observed probability will get closer and closer to the expected probability.

This is an example of the Law of Large Numbers. The Law of Large Numbers states that as the number of trials (in this case, the number of coin flips) increases, the observed probability (in this case, the probability that the next coin flip will be heads) will get closer and closer to the expected probability (in this case, 50%). The formula for this is P(n) = P(1) + (P(n) - P(1))/n, where n is the number of trials and P(1) is the probability of the first trial.

For example, if the first coin flip results in heads (P(1) = 1), the probability of the 5th coin flip being heads is P(5) = 1 + (0.5 - 1) / 5 = 0.2. This means that the probability of the 6th coin flip being heads is 0.2 + (0.5 - 0.2) / 6 = 0.3125, or 1/64.

This is an example of the Law of Large Numbers, which states that as the number of trials increases, the observed probability will get closer and closer to the expected probability.

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Every night Stephanie reads 3 more pages of her book than Michael reads of his book.
The equation S=m+3 can be used to model the number of pages Stephanie, S, reads in terms of the number of pages Michael, m, reads. Which graph shown here models this situation?

Every night Stephanie reads 3 more pages of her book than Michael reads of his book.The equation S=m+3

Answers

Answer:

Graph A

Step-by-step explanation:

S = m+3

Let Michael read 3 page

S = 3+3 = 6

Graph A shows when m=3, S =6

I don’t get this side of algebra need answer

I dont get this side of algebra need answer

Answers

Answer:

b

Step-by-step explanation:

Guys pls help me!!!!!!

Guys pls help me!!!!!!

Answers

Answer: count them up on each side

Step-by-step explanation:

Answer:

mmhhh

Step-by-step explanation:

(-9,8) look where it ends

In the table to the right, the P(0) is blank so we can assume P(O) = 0 What does a probability equal to zero mean?

Answers

Answer:

It means there is no chance this will happen or in other words a 0% chance

Step-by-step explanation:

Order the numbers from least to greatest.
99,72,9.7
and
From least to greatest.

Answers

Answer:

9.7, 72, 99

Step-by-step explanation:

Answer:

9.7,72,99

Step-by-step explanation:hope this helps!!:D

Simplify. Leave answers in exponential form.

Simplify. Leave answers in exponential form.

Answers

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

xyz23√xy2

Step-by-step explanation:

Let $x=\frac{7}{8}$ and $y=-\frac{2}{9}$. If $x\cdot z = y$, then what is $z$?

Answers

The value of z is found by dividing y by x, which results in  z =\(-\frac{16}{63}$\)

To solve for z, we can use the equation \($x\cdot z = y$\). We know that \($x = \frac{7}{8}$\) and \($y = -\frac{2}{9}$\),

Therefore, we can enter these values into the equation as substitutes:

\($\frac{7}{8} \cdot z = -\frac{2}{9}$\)

Next, In order to separate z, we must divide both sides of the equation by \($\frac{7}{8}$\):

\($z = \frac{-\frac{2}{9}}{\frac{7}{8}}$\)

To divide by\($\frac{7}{8}$\), The fraction can be rotated, then multiplied by its reciprocal, which is \($\frac{8}{7}$\)

\($z = \frac{-\frac{2}{9}}{\frac{7}{8}} \cdot \frac{8}{7}$\)

The fraction on the right can be made simpler as follows:

\($z = -\frac{2}{9} \cdot \frac{8}{7} = -\frac{16}{63}$\)

So, The value of z is found by dividing y by x, which results in  z =\(-\frac{16}{63}$\)

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I NEED HELP PLEASE FAST
50 points

I NEED HELP PLEASE FAST 50 points

Answers

The values of x in each equation are;

1) 128

2) 1500

How do you form an equation?

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

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Please answer correctly.^^

Thank you.

Please answer correctly.^^Thank you.

Answers

The length of SR is 17

Find the value of z.

Find the value of z.

Answers

2 • Z = 3 • 5
2z = 15
z = 7.5

I need help please ​

I need help please

Answers

Answer:

the answer would be 81

Step-by-step explanation:

6 to the second power would be 36 then you would multiply 36x2 and it would equal 72. then you would do 2x6 which is 12. then 72+12-3= 81

What's the value of this python expression: (2**2) == 4?

Answers

Answer:

Python will return:

True

Step-by-step explanation:

The math function ** is an exponent indicator.

The equation you made was:
\(2^2 =4\)

When you run this in python, it will return as true.

It is run as a Boolean expression because you have already provided the answer to the expression with the "==" statement.

If you had provided an incorrect answer (setting it equal to any number other than 4), it would return False.

Use the universal law of gravitation to solve the following problems.
two cars of mass 3000 kg are 2 m apart. what is the force of gravity between
them? (2 points)

Answers

The force of gravity between the two cars is approximately 1.502 × 10⁻⁴ N.

Use the formula for the universal law of gravitation:

F = G × ((m₁ × m₂) / r²)

where F is the force of gravity, G is the gravitational constant (6.67430 × 10⁻¹¹ Nm²/kg²), m₁ and m₂ are the masses of the two objects, and r is the distance between the two objects.

Plugging in the values from the problem, we get:

F = (6.67430 × 10⁻¹¹ Nm²/kg²) × ((3000 kg × 3000 kg) / (2m)²)

F = 1.502 × 10⁻⁴ N

Hence, the force of gravity between the two cars is approximately 1.502 × 10⁻⁴ N.

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What is a equivalent expression to this expression?c(4a+b)

Answers

Answer: I think the answer is 4ca + cb

Answer:

The answer is 4ac+bc u have to multiply

Which of the following is a solution of y + x < -5?

(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)

Answers

The answer is (-4, -2)

-2 + -4 < -5

-6 < -5

Hope this helps!

Answer:

(- 4, - 2 )

Step-by-step explanation:

Substitute the coordinate value into the left side of the inequality and compare the value obtained to the right side

(- 2 , - 3 )

- 3 - 2 = - 5 = - 5 ← not a solution

(- 4, - 2 )

- 2 - 4 = - 6 < - 5 ← solution

(- 3, - 2 )

- 2 - 3 = - 5 ← not a solution

(- 1, - 3 )

- 3 - 1 = - 4 > - 5 ← not a solution

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