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:
I don't know 1
2. 3/4
3. y= 1000(0.75)^x
Step-by-step explanation:
According to the information depicted on the graph:
Vertical intercept = 1000This is the initial Value of acetaminophen in the body just after taking the normal dose ; At time, t = 0Fraction left after 1 hour = 0.75Amount 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 = 0.75Amount 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]
Learn more : https://brainly.com/question/10992447
Related Questions
The local movie theater wants to increase ticket prices by 37% to keep up
with rising costs. The current price of a ticket is $8. What will the new ticket price
pe after the 37% increase (to the nearest cent)? Show your work.
Answers
Answer:
$10.96
Step-by-step explanation:
8 * 1.37 = $10.96
Double check the work
8x .37 = 2.96
8+2.96 = 10.96
Sam can type 20 words in 30 seconds how many words can he type in 90 seconds
Answers
Answer:
60
Step-by-step explanation:
90 divided by 30 is 3, so you would multiply 20 by 3 to get your answer of 60.
Hope this helps :)
Answer:
He can type about 51 words in 90 seconds because...
Use proportion!
7x = 360
X = 51 3/7
X is ABOUT 51
A recipe for a cake calls for 3 cups of water. Elisa accidentally put in 6 cups. How many extra cups did she put in? What equation would depict this scenario?
c-3=6
c-6=3
c+3=6
c+6=3
Answers
Answer:
1.Elisa accidentally put in 3 extra cups of water
2.C+3=6
I have 2 lines in this graph I need to know which line has a slope of one and which has a slope of 2
Answers
Answer:
what graph
Step-by-step explanation:
y = 1/2x + 4
x - y = 8
*Substitution
Answers
Answer:
y=16, x=24
Step-by-step explanation:
First simplify: x-(1/2x+4)=8
Isolate x for 1/2x-4=8
Add 4 to both sides:
1/2-4+4=8+4
Simplify :1/2=12
Multiply both sides by 2:
2*1/2x=12*2
Simplify:
x=24
Substitute x=24:
y=1/2*24+4
1/2*24+4=16
1/2*24=12
12+4
Add the numbers: 12+4=16
y=16
The solutions to the systems of equations are:
y=16,x=24
The vegetable garden has 95 ripe plants. The number of tomatoes is 16 fewer than twice the number of squashes. How many of each vegetable are ripe?
Answers
Answer:
Tomatoes = 39.5
Squash = 55.5
Step-by-step explanation:
T (tomatoes) = S - 16
S + T = 95
we plug it in now
S + (S - 16) = 95
2s = 95 + 16
2s = 111
s = 55.5??
hm. Let's go with it
T = 55.5 - 16
T = 39.5
39.5 + 55.5 = 95
I...guess?
factor the polynomial
n ^ 4 - 49n ^ 2 = 0
Answers
Answer:
I have no clue on how to answer this bc I thiugh i knew how to answer
The Math problem is called "Multiply Imaginary Numbers'
How do you solve
(−10√3)(7√−10)
Answers
Answer:
-700√3 √-
Step-by-step explanation
(-10√3) (7√-10)
Remove the parentheses
-10√3 * 7√- * 10
Multiply numbers: 10*7*10=700
Answer:
-700√3 √-
True or false;
The x-intercept of a function ALWAYS occurs where y is equal to zero.
True
False
Answers
Have a great day!
The x-intercept of a function always occurs where y is equal to zero is true.
Given,
The x-intercept of a function always occurs where y is equal to zero.
We need to find whether the given statement is True or False.
What is x-intecept and y-interept?The x-intercept is the point where the line passes through the x-axis.
We need to put y = 0.
The y-intercept is the point where the line passes through the y-axis.
We need to keep x = 0.
Check the statement.
The x-intercept of a function always occurs where y is equal to zero.
This is a true statement because in order to find the x-intercept we need always keep y = 0.
Thus the given statement-
The x-intercept of a function always occurs where y is equal to zero is true.
Learn more about intercepts of a function here:
https://brainly.com/question/14180189
#SPJ2
A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule? (x, y) → (x + 4, y – 8) (x, y) → (x – 4, y – 8) (x, y) → (x – 8, y + 4) (x, y) → (x + 8, y – 4)
Answers
Answer:
C (x, y) - (x - 8, y + 4)
Answer:
C (x, y) - (x - 8, y + 4)
Step-by-step explanation:
Got it right on Edge
What is the value 8-[12-(-4)]
Answers
Answer:
-8
Step-by-step explanation:
im smart
Answer: i searched it up on gogle it said -8 but i don't know so sorry
Step-by-step explanation:
Karla rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Brad rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
Answers
Brad: 102/6=17m per week
a motorcyclist sets out on a road trip traveling at a constant rate of 45 mph. one half hour after she leaves, her friend discovers that the motorcyclist forgot her duffel bag driving at a rate of 60 mph the friend sets out in the car to catch up with her
Answers
Answer:
1. 45
2. 60
Step-by-step explanation:
i did it and got it right
Answer:
the answer is 45 and 60
Step-by-step explanation:
If 7 more boys join the Waverly Waves, how many girls should be added to the team in order to maintain the same ratio of boys to girls? Justify your answer.
Answers
PLZ HELP ME!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answers
Answer:
It is important because they are the basics of algebra. Almost every algebraic problem you will ever solve is based on these fundamental properties. In equations, we almost never know every part of it so we will need variables to substitute the unknown amount in an equation. Variables are used for basically every equation/problem in algebra. Inequalities are not as important as variables but are still really important. Inequalities are basically comparing numbers. And in algebra when they add variables into an inequality, the inequality will help lower the number of possible values of said variable. And exponents are just a basic operation in algebra. Just like learning addition and subtraction. It is like a quicker and less complicated way of multiplying numbers.
To write a percent as a decimal, _____.
Answers
Answer:
To convert from a percent to a decimal, divide by 100 (and remove the "%" sign). To convert from a percentage to a decimal, divide by 100 (and remove the "%" sign).
Step-by-step explanation:
To write a percent as a decimal, divide by 100 and remove the %
16 pretzels weigh 16 ounces. fill in the rest of the table given this ratio.
there are 4 answers. do not round. pls help
Answers
Answer:
64 20 16 1 4
16 5 4 .25 1
Step-by-step explanation:
64 divided by 16 is 4. So you multiply 5 by 4 to get 20 pretzels and divide 1 by 4 to get .25 oz.
PLEASE HELP! this is due today! Brainlist for right answer!
Answers
Answer:
2550.5
Step-by-step explanation:
We have a circle and are asked to find the area.
We know the diameter already, but the formula to find area requires a raidus, which is unknown to us yet.
To find radius, all you need to do is follow [tex]\frac{d}{2}[/tex]. D being diameter.
D = 57.
[tex]\frac{57}{2}= 28.5[/tex]
The radius is 28.5, now do the formula of area.
[tex]A = \pi *r^2[/tex]
[tex]A = \pi *28.5^2[/tex]
[tex]28.5^2[/tex]
[tex]812.25[/tex]
[tex]A=\pi *812.25[/tex]
[tex]A=3.14 * 812.25[/tex]
[tex]A = 2550.465[/tex]
Now we need to round to the nearest tenths, since 6 is the knowledge that we round up, round up.
[tex]2550.5[/tex]
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. Estimate the total cost.
Answers
Step-by-step explanation:
they paid 23.75 dollars. I hope it helps l!
Step-by-step explanation:
They paid 23.75 dollars. I really really hope this helps l!
Can someone please help me !
Answers
Answer: 14
Step-by-step explanation:
1.75x -2 + 1.75x -2 + 1.75x -2 =67.5
5.25x-6= 67.5
5.25x =73 .5
X = 14
Answer:
1.75x-2= -3.14
-3.14 x 1.75= -5.495 -2= -7.495
x=3.14
P=-22.485
Step-by-step explanation:
6 A rectangular room is 2 m longer than it is
wide. Its perimeter is 70 m. If the width of
the room is w m, express its length in terms
of zo. Hence find the width of the room.
Answers
Answer:
W = 16.5 meters
Step-by-step explanation:
let w be the width and then the length is w+2
Perimeter = 70 = 2w + 2(w+2)
70 = 2w + 2w + 4
4w = 66
w = 16.5 meters
Solve the system below for x: (2 pts)
y = 6x + 4
y = 5x - 1
O X=-3
O X = -3/11
0 x = -5
x = -5/11
Answers
Answer:
x=-5
Step-by-step explanation:
6x+4=5x-1
x+4=-1
x=-5
Step by step explanation
6x+4 =5x-1
X+4=-1
X=-5
The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
14 units
15 units
Answers
Answer:
5 units
Step-by-step explanation:
P= 2 (l + w) = 2 x (9 + 5) = 28
Simplify:
5-4 (-2b -7) *
Answers
1 ( -2b -7) = -2b -7
-2b = 7
b = - 7/2
A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.
What is the area of this composite figure?
A. 32cm
B. 40cm
C. 64cm
D. 80cm
Answers
Answer:
the answer is C
Step-by-step explanation:
Please help, I will mark i brainliest
Answers
Answer:
Step-by-step explanation:
i think b because it is going across the 5 but i'm not sure.
After a trip to the orchard, Regan and her aunt Cindy made applesauce with the apples they
picked. They used the same amount of cinnamon, but Regan used more apples than Aunt
Cindy. Whose applesauce tasted more like cinnamon?
Regan's applesauce tasted more like cinnamon,
Aunt Cindy's applesauce tasted more like cinnamon.
Neither. Both applesauces tasted the same.
Answers
Answer:
Aunt Cindy would taste more like cinnamon
Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires.
Answers
Answer:
166 per person
Step-by-step explanation:
500 divided by 3
What's the surface area???
Answers
Answer:
do you have to times it or add??
can someone please help me with number 5?!
Answers
Answer:
FLIP BRO I DO NOT CARE AT ALL
Step-by-step explanation: