Answer:
4mg/L
Step-by-step explanation:
Here is the complete question;
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by
C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L. When is the maximum serum concentration reached?
Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;
C(t) = 0.08t − 0.0004t^2
The maximum serum concentration is reached at when d(C(t))/dt = 0
d(C(t))/dt = 0.08-2(0.0004)t
d(C(t))/dt = 0.08-0.0008t
since d(C(t))/dt = 0
0 = 0.08-0.0008t
get the value of t
-0.08 = -0.0008t
t = 0.08/0.0008
t = 100secs
Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;
C(t) = 0.08t − 0.0004t^2
C(100) = 0.08(100) − 0.0004(100)^2
C(t) = 8-0.0004(10000)
C(t) = 8-4
C(t) = 4mg/L
Hence the maximum serum concentration reached is 4mg/L
PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!
3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?
Answer:
$56.70
$132.30
$17.199
$149.499
No
Step-by-step explanation:
Given that:
Regular price of skis = $189
Discount % = 30%
Amount saved = $140
After sales tax = 13%
a. What is the discount?
Discount amount = Regular price * discount %
Discount amount = $189 * 0.30
Discount amount = $56.70
b. What is the new price?
Regular price - Discount amount
$189 - $56.70
= $132.30
c. What is the tax?
Sales tax = new price * tax %
Sales tax = $132.30 * 0.13
Sales tax = $17.199
d. What was the total price of the shoes, after the discount and tax?
New price + sales tax
= $132.30 + $17.199
= $149.499
e. Do you have enough money?
No
$149.499 > $140
A pile of 100 $5coins is 150 mm high. One coin is______mm thick
Answer:
1.5mm
Step-by-step explanation:
100x = 150. x = height is one $5 coin
x = 150/100
x = 1.5
Solve the division problem below.
The quotient is
Answer:
25/8
Step-by-step explanation:
Answer:
It's -6
Step-by-step explanation:
i got it right lol
I need help please
Answer:
1, 2
Step-by-step explanation:
An easy way to find the solution to a system of linear equations is to just replace it with x and y.
1, 2
1+2=3(x+y+3)
2+10=12(2x+5y=12)
Answer:
(1,2)
it's correct answer....be sure it's correct
A piece of string has been used to measure the circumference of a circle. Use a ruler to measure the diameter of the circle and the length of the string to the nearest 1/4 inch
Answer:
The circumference is expressed usingC=2πrStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circle.
The length of the string corresponds to the circumference of the circle.
The lenght of the string can be calculated by using the expression for circumference, if after using the ruler to obtain the diameter "d"
upon measuring the diameter we can further obtain the radius "r"
The expression for the radius is r=d/2 (the radius is half the diameter)
C=2πr
where pi= 3.124 a constant term
Hence Circumference is the same as the length of the string
Car Survey in a survey of 1,800 people who owned a certain type of car, 1,080 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer: 60%
Step-by-step explanation:
First you have 1,080 satisfied out of 1,800.
Then you divide 1,080/ 1,800.
When you divide you get .6
Finally move the decimal 2 places to the right and you get 60 which is 60%.
1.
Marsha’s cat weighs 15.41 pounds. Her bunny only weighs 4.79 pounds. About how much more does her cat weigh?
10 pounds
10.62 pounds
20 pounds
11 pounds
Answer:
it's about 10, but without rounding it's 10.62
Step-by-step explanation:
True or False??
.............................
Answer:
That is true.
Step-by-step explanation:
Look at this example:
3/1 = 1/3 This example applies to most fractions.
Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?
Answer:
yes, and at 600 hours they are equal and at 601 Frank passes her.
Step-by-step explanation:
since frank has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.
First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.
Answer:
They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo
8n=7.50n+300
Sub in n for 600 and it should cancel everything out and work :)
if you want me to re-explain let me know.
cual es la respuesta de 1000+25
Answer:
1025
Step-by-step explanation:
1 0 0 0
+ 2 5
---------------
1 0 2 5
----------------
HOPE THIS HELPS
PLZ MARK AS BRAINLIEST!!!!!!
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
Complete the table of values for this equation:
y= 4x +30
Enter your answer by filling in the boxes.
х
y
3
4
5
Answer:
x = 1 , y = 34
x = 2 , y = 38
x = 3 , y = 42
x = 4 , y = 46
x = 5 , y = 50
Step-by-step explanation:
The solution for the equation at different values is given below:-
x = 3 , y = 42
x = 4 , y = 46
x = 5 , y = 50
What is a linear equation?A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that the equation is y= 4x +30. From the table, the value of y at different values of x will be:-
x = 3 , y = ( 4 x 3) + 30 = 12 + 30 = 42
x = 4 , y = ( 4 x 4 ) + 30 = 16 + 30 = 46
x = 5 , y = ( 4 x 5 ) + 30 = 20 + 30 = 50
Therefore, the solution for the equation at different values is at x = 3 , y = 42 then at x = 4 , y = 46 and, at x = 5 , y = 50.
To know more about linear equations follow
https://brainly.com/question/20401690
#SPJ5
solve :
2(3x + 6) = 18
Answer:
2(3x+6)=18
6x+12=18
6x+12-12+18-12
6x=6
6x/6=6/6
x=1
Step-by-step explanation:
Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.
Answer:
4
Step-by-step explanation:
30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4
I need help with my spanish
Can someone pls help
Answer:
It finally let me make an answer so here’s the answer:
1) he goes to el heladeria to get more ice cream
2) el banco to get money to pay
4) el mercado to get vegetables
5) el cafe to get more bread
The things you circle in the sentence for the correct verb are
1) comer (eat)
3) beber (drink)
4) usar (use)
5) comer (eat)
6) beber (drink) I hope this helps!
The graph shows the number of each kind of book in Hero's personal library. A book is
chosen randomly.
What is the probability that the book is a romance book?
Answer:
[tex]\displaystyle p=\frac{1}{15}[/tex]
Step-by-step explanation:
Probability
The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.
The pie chart shows the number of books in Hero's library grouped by category.
The total number of books is 14 + 10 + 4 + 2 = 30
The number of romance books is 2
Thus, the probability of randomly choosing a romance book out of the total books is:
[tex]\displaystyle p=\frac{2}{30}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle p=\frac{1}{15}}[/tex]
This corresponds to the first option
Answer:
1/15
or
[tex]\frac{1}{15}[/tex]
explanation:
Which is bigger 9/5 or 9/10
Answer:
9/10
Step-by-step explanation:
because it is
Please help this is due tonight my future depends on it.
PROBLEM:
The cost of a pizza varies directly as the square of its radius. If a pizza with a 1 inch radius costs
$3.25, how much should a pizza with a 6 inch radius cost?
Answer:19.5
Step-by-step explanation:
3.25x6
Answer:
$19.50
Step-by-step explanation:
3.25*6
=19.50
If a person walks 1/4 of a mile in 1/8 of an hour. Determine how many miles they are running per hour.
Answer:
1&1/8 m/h
Step-by-step explanation:
2/8 of a mile = 1/8 of an hour
add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour
Does anyone know this?
Answer:
B
Step-by-step explanation:
Given
g(x) = 2x² - 6x - 56 ← factor out 2 from each term
= 2(x² - 3x - 28) ← factor the quadratic
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are + 4 and - 7, since
4 × - 7 = - 28 and 4 - 7 = - 3 , thus
x² - 3x - 28 = (x + 4)(x - 7) , then
g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B
find the gif of the terms of the polynomial. 52x^8 + 12x^3
Answer:
The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.
Step-by-step explanation:
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
(Solve by Graphing)
3x - 2y = 4
x + y = -7
Systems of equations solved by graphing please!
Answer:(2,-9)
Step-by-step explanation:
What are the equations of the asymptotes of the hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
Answer:
hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
A number divided by 42 has a quotient of 28 with a remainder of 4. What is the number?
O 1,064
o 1,172
O 1,176
O 1,180
Answer:
D. 1,180
Step-by-step explanation:
Given the following data;
Divisor = 42
Quotient = 28
Remainder = 4
A quotient of 28 simply means that a number divided by 42 would have a value that is equal to 28 without any remainder.
Let the unknown number be X
X = (42*28) + 4
X = 1176 + 4
X = 1180.
Method II
Y/42 = 28
Cross-multiplying, we have;
Y = 28 * 42
Y = 1176
Given that the remainder is 4
X = Y + 4
X = 1176 + 4
X = 1180.
Therefore, the number is 1180.
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
Any help is needed!! ❤️ only if you know ofc!
Answer:
b=74degrees
Step-by-step explanation:
First find angle a
180-112-33=35
use angle a to find b
180-35-71=74
how do you solve for x when you have this problem below please explain !!
Answer:
The value of x is 16
Step-by-step explanation:
We can clearly see in the diagram that a transversal is intersecting two parallel lines.
When a transversal intersects two parallel lines, eight angles are formed.
The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.
Corresponding angles are congruent.
So,
Angle 6x+4° and 100° will be congruent or equal
[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]
Hence,
The value of x is 16
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (negative 20) + 8
Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answer:
A I got it right on edge.
Step-by-step explanation: