help me pleaseeeeeeeeee

Using exponential functions, it is found that:

a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = A(0)(1 - 0.13)^t[/tex]

[tex]A(t) = A(0)(0.87)^t[/tex]

Item a:

The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

[tex]A(t) = A(0)(0.87)^t[/tex]

[tex]A(8) = 150(0.87)^8[/tex]

[tex]A(8) = 49.2[/tex]

Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering A(11) = 50, hence:

[tex]50 = A(0)(0.87)^{11}[/tex]

[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]

[tex]A(0) = 231[/tex]

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at https://brainly.com/question/25537936

Answer:

50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance

Step-by-step explanation:

He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.

Answer: see below

Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50

If  Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being

$5y + $6y - $50 or $11y - $50

Answer:

see explanation

Step-by-step explanation:

the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )

means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so

A (- 1, - 3 ) → A' (- 2, - 1 )

B (4, - 3 ) → B' (8, - 1 )

C (4, 3 ) → C' (8, 1 )

D (- 1, 3 ) → D' (- 2, 1 )

Answer:b is the answer

Step-by-step explanation:

[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]

Answer: y = 115 and x = 78

Step-by-step explanation:

y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x  

Answer:

B) -3.2

Step-by-step explanation:

-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

(4)(-27)

=-108

Option C

(-7)(14)

=-98

Option D

(-9)(11)

=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!

Answer: This question is not right

Step-by-step explanation:

What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.

1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800

There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's

Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question

Answer: A lot

Step-by-step explanation: I can't count how many

Answer:

25!

Step-by-step explanation:

Subtract the highest and lowest so its 25:)

Answer:

25

Step-by-step explanation:

Range is the largest number minus the lowest

Answer:

I think d is the answer......

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

y = -2x + 30

Step-by-step explanation:

Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30

Brainliest would be appreciated. :-)

Answer:

First, round $19.83 to make the mental math easier.  Then round the tip as well.  Then you can easily multiply the two rounded numbers to find the value.

Step-by-step explanation:

Step-by-step explanation:

6 > 4x - 5

Bringing like terms on one side

6 + 5 > 4x

11 > 4x

11/4 > x

Option none is the correct answer

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

D

Step-by-step explanation:

To solve this, we can go through each answer and see if it is correct.

A)

|–125| < |45|

When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have

125 < 45

125 is greater than 45, so this is false

B)

|–98.5| < |23.7|

98.5 < 23.7

98.5 is greater than 23.7, so this is false

C)

|–174.6| > |204|

174.6 > 204

174.6 is less than 204, so this is false

D)

|–362.5| > |45.8|

362.5 > 45.8

362.5 is greater than 45.8, so this is true

Answer:

C

Step-by-step explanation:

C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.

Answer:

C

Step-by-step explanation:

If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function

X       1        1             2                   3      4

________________________________________________________      

Y      0       3              4              2           6  

this would not be a function because the one is at two different heights.

if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function

Answer:

14

Step-by-step explanation:

I don't understand the question your asking

The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)

Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.

p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.

Therefore, the 4 consecutive even integers is represented as follows;

p, p + 2, p + 4, p + 6

So the sum is equal to:

sum = p + p + 2 + p + 4 + p + 6

sum = 4p + 12

sum = 4(p + 3)

learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

I do agree

Step by Step Explanation:

You can try it out, just draw a number line with positive and negative integers and set your pencil on 8 and go back 8 places since it is -8 and that equals 0.

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

Answer: (-1/2)^3

-0.125

Step-by-step explanation:

-.125 or 5/40. zzzzzzzzzzzzzzzzz

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)