Mathematics High School

Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose. 1. What is the vertical intercept? What does it mean in this situation? 2. What fraction of the medicine remained after one hour? 3. Write an equation that represents the amount of medicine, a, after t hours.

Answers

Answer 1

Answer:

I don't know 1

2. 3/4

3. y= 1000(0.75)^x

Step-by-step explanation:

Answer 2

According to the information depicted on the graph:

Vertical intercept = 1000

This is the initial Value of acetaminophen in the body just after taking the normal dose ; At time, t = 0

Fraction left after 1 hour = 0.75

Amount after t hours = [tex]y(t) = 1000(0.75)^{t}[/tex]

The vertical intercept is the value of the y - intercept, where the line crosses the y - axis. ; vertical intercept = 1000

The y - intercept is the amount of the drug in the body 0 minutes after taking it.

Fraction of drug left after one hour :

t(1) ÷ t(0) = 750 / 1000 = 3/4 = 0.75

Amount of medicine left after t hours :

Initial amount(rate of decrease)^time

[tex]y(t) = 1000(0.75)^{t}[/tex]

Hence, the function which models the graph is [tex]y(t) = 1000(0.75)^{t}[/tex]

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Related Questions

The ratio of boys to girls in a classroom is 15 to 12. What is the ratio of boys to total students in the classroom?

Answers

Answer:

15 to 27

Step-by-step explanation:

Boys = 15

Girls = 12

Total = 27

It's asking for Boys to Total, so you get 15 to 27!

Can someone plssss help!!

Answers

Answer:

x=20 degrees

Step-by-step explanation:

7x+(x+20)=180

8x+20=180

8x=160

x=20

How would you use Math at six Flags ?

Answers

Answer:

To find the velocity of a ride and comparing how the height of a ride has to do with how fast the cart goes

Explanation:

At Six flags math can be used in a variety of ways.

For example: to find the price of a ticket that has a 5 percent tax or fiinding out how much of a difference a family package and buying individual tickets are

The ratio of green apples to red apples in a bucket is 5 to 9. For every 10 green apples there are __ red apples.
plz help

Answers

There would be 18 red apples because 5 went to 10 5x2=10 so 9x2=18 the ratio of 5 to 9 is equal to 10 to 18

Nora uploaded a funny video on her website, which rapidly gains views over time. The relationship between the elapsed time, ttt, in days, since Nora uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function: V(t)=100⋅(1.53)t Complete the following sentence about the daily rate of change in the views of the video.

Answers

Answer:

grows by a factor of 1.53

Which of the following graphs could represent a quartic function?

Answers

Answer:

Graph d

Step-by-step explanation:

Answer:

Graph a

Step-by-step explanation:

a p e x

HELP I WANNA PASS!!!

A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2 + 40t + 3. What is the meaning of the 3 in the expression?

A.
The ball was thrown from a height of 3 feet.

B.
The ball took 3 seconds to reach its maximum height.

C.
The ball took 3 seconds to reach the ground.

D.
The ball reached a maximum height of 3 feet.

Answers

Answer:

The ball was thrown from a height of 3 feet

Answer:

A. The ball was thrown from a height of 3 feet.

Step-by-step explanation:

If you put 0 for t, then you get 3 as a result of calculation.

It means the start point is 3 feet, in other words, the ball was thrown from 3 feet from the ground.

Correct choice is A.

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise. :) Plz need
3x + 2y = 7

y = -3x +11

Answers

Answer:

x=5

Step-by-step explanation:

3x+2(-3x+11)=7

Use distributive property:

3x-6x+22=7

Combine like terms:

-3x+22=7

-3x=-15

Then divide:

-3x/3=-15/3 = 5

x=5

‼️‼️Find the volume of the cylinder.‼️‼️

HEIGHT: 2cm
DIAMETER: 8cm

Exact: ?
Approximate volume: ?

Answers

Answer:

v=2πrh

r=d/2=8/2=4

Therefore, V=2×3.142×4×2= 50.272 ans.

Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 2 1/2 cups of chocolate chips. The total amount of chips and oats after doubling is 6 1/3 cups.

Write an equation to find the original amount of oats, x, in the recipe.

Answers

¿puede por favor hablar inglés

At a dinner at Priya's favorite restaurant, the meal cost $18 and a sales tax of $1.71 was added to the bill.
How much would the sales tax be on a $34 meal at the same restaurant?
O $3.23
O $3.12
O $3.35

Answers

Answer:

$3.23

Step-by-step explanation:

1.71 ÷ 18 = 0.095 = 9.5%

9.5% × 34 = 3.23

HELP IM BEING TIMED ANSWER FAST PLEASE

Answers

1,2,6 are the ones to click

the first one from each row is wrong i think

HELP HELP HELP HELP HELP

Answers

Answer: 32 = 2^y2^5 = 2^ycancel the like terms which is 2 and you will be left with5 = y

-4a+18
And It’s NOT -2(2a-9)

Answers

Answer:

14a

Step-by-step explanation:

14a
hope this helped

568n + 230
Which best describes the constant in the expression?

Answers

Answer:

568

Step-by-step explanation:

the steps are simple u are an idiot

Answer:

(

)

Solution

(

)

Step-by-step explanation:

Divide £945 in the ratio 2:5

Answers

1) Add the total ratios (2+5=7)
2) Divide by cost to find 1 (945/7= £135)
3) Multiply that number by the ratio
270:675
When you add it up it should give your total from the beginning.
Hope this helped :)

Which is the graph of the linear inequality y < 3x + 1? On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.

Answers

For this case we have the following inequality: y < 3x + 1 < br/ >

What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.

The shaded region represents the solution of the system of equations.

For the point (0, 0) we have:

0 < 3(0) + 1 < br / >

0 < 0 + 1 < br / >

0 < 1 < br / >

Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.

Then, the points that are on the line, are not part of the solution because the sign is of less strict.

Hope I helped ~~Laurel

Answer:

it is D!!!!!!!!!!! trust me, its right on edge:))))))

Step-by-step explanation:

Enter a digit in each box to complete the division problem.

please help

Answers

Answer:

There is no box

Step-by-step explanation:

PLEASE HELP IM GIVING 5 STAR RATINGS

write an expression for each situation:

a. for a walk-a-thon a sponsor agreed to give you a flat donation of $5 and $2 dollars for every Mile, m , you walk.

b. you and four friends plan a surprise party each of you contributes the same amount of money m for food.

c. a cell phone company charges $40 per month plus a $35 activation fee.

Answers

Answer:

a. 5 + 2m

b. 5m

c. 40m + 35

Step-by-step explanation:

Which digit(s) make the solution of the equations the whole number? 5x-496=1.34...

Answers

Answer:

x≈ 100

Step-by-step explanation:

Given the equation

5x-496=1.34...

We are to find the value of x to the nearest whole number

Add 496 to both sides

5x-496+496 = 1.34+496

5x = 497.34

x = 497.34/5

x = 99.468

x ≈ 100

Hence the value of x to nearest whole number is 100

Help pls I really need it pls

Answers

the value of x is 7 because 8/24 = 1/3 so find 1/3 of 21

When the base of the ladder is 10 ft away from the base of a building, the top of the ladder touches the building 18 ft above the ground about how long is the ladder

Answers

Answer:

Step-by-step explanation:

[tex] \sqrt{54 \\ } [/tex]

Abigail's mom asked her to go to the store and purchase 5 kilograms (kg) of potatoes. When she got to the store, she saw the potatoes were sold by the pound. How many pounds of potatoes does she need to buy?

Answers

1 kilogram = 2.205 pounds

5 kg * 2.205 lbs = 11.0231 pounds

Round to pounds = 11
Round to tenths/1 decimal = 11
Round to hundredths/2 decimals = 11.02

I need help friends! Pls, help me I will review it once you answered :)

Answers

No, it is not a possible solution because 4$ x 4h= 16 and then 12h x 8$ = 96. Together it makes 112$ but the goal is 120$, therefore it is a incorrect possible solution.

Negative one-fifth of a number, increased
by 3, is at most 1.

Answers

12 + 8 *89 is the answer

The number x ≤ 10 for the inequality (-1/5)x + 3 ≤ 1.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Negative one-fifth of the number, increased

by 3, is at most 1.

Number = x

This can be written as,

(-1/5)x + 3 ≤ 1

Solve for x.

(-1/5)x + 3 ≤ 1

(-1/5)x ≤ 1 - 3

(-1/5)x ≤ -2

x ≤ -2 x (-5/1)

x ≤ 10

Thus,

The number is less than or equal to 10.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ5

Write the equation of the line given the points (2,0) and (3.-1)

Answers

Answer:

y = -1x + 2

Step-by-step explanation:

We need to find y = mx + b

Use the following equation

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the values

[tex]\frac{-1-0}{3-2}[/tex] = [tex]\frac{-1}{1} = -1[/tex]

We have found the slope(m) which is -1

We have to find y-int b

Plug in any given x,y into the slope formula

-1 = -1(3) + b

-1 = -3 + b

2 = b

At last the formula is

y = -1x + 2

what 1x0 i now it is 0

Answers

Answer:

haha yes it's 0 good job!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes you are right.

also it's "know" not "now".

what is the answer to -4(2d+3)+2(-d+4)?

Answers

Answer:

-10d-4

Step-by-step explanation:

Well, you're in luck because I LOVE distributive property!!!

-4(2d+3) Multiply -4 by 2d to get -8d, and multiply -4 by 3 for -12, so the result would be -8d-12!

Then, 2(-d+4) and therefore 2 times -d (you can just say -1d) to get -2d and 2*4 would be 8 to make -2d+8!

Now you combine them: -8d-12+-2d+8

Combine like terms!

-10d-4 would be your answer.

Help please I have 25 min left! I’ll name you brainliest!!

Answers

Answer:

A. x = -2

Step-by-step explanation:

Marian buys a dress that costs $32.00. She pays 10%
sales tax.
How much does she pay for the dress, with tax?
A. $5.20
B. $35.20
C. $34.00
D. $28.80
Please help

Answers

Answer:

B, $35.20

Step-by-step explanation:

32 increase 10% =

32 × (1 + 10%) = 32 × (1 + 0.1) = 35.2

answer is 35.20 because if you do 3.20 plus 32 that would equal 35.20

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