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.
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
For a complex number, multiplying by the conjugate always gives which of the following? Select one: O A Non-negative complex number O B. Non-negative real number O C. Negative real number D. Positive rational number E. Negative irrational number
Answer:
B. Non-negative real number
Step-by-step explanation:
For a complex number, multiplying by the conjugate always gives Non-negative real number
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.
Answer:
For every hour the car is parked, the cost increases by $5.
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.
The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5. Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".
What error did Tracy make? She used AG = 2EG, but the correct statement is 2AG = GE. She found that x = 4, but the correct value for x is 2. She used GF = 2BG, but the correct statement is BG = 2GF. She found that GF = 64, but the correct value of GF is 8.
Answer:
C. She used GF = 2BG, but the correct statement is BG = 2GF.
Step-by-step explanation:
credits to the other person!
Answer:
C.
Step-by-step explanation:
Edge 2021
A car traveled a distance of 210 miles in 3 hours time. How fast was the car driving?
What is the solution of w – 4 = 18 + 3w?
Answer:
w=-11
Step-by-step explanation:
Move the w on to the right side:
-4=18+2w
Move the 18 to the left side:
-22=2w
Divide by 2
w=-11
Hope this helps!
And Brainlists plz!
Carolyn Was asked to solve the following system of equations, her work is shown.
Answer:(11,13)
Step-by-step explanation:
3(11)-2(13)=13= 11+2
If you plug these numbers in, you get the correct answers .
What are the four types of slopes? Write an equation for each of the four types of slopes.(in slope intercept form) 9th grade geometry HELP
Answer: positive,negative,zero,undefined,
Step-by-step explanation:
Equations examples
Positive: y=7x-4
Negative:-5x+3
Zero:y=0x-3
Undefined : x=3
Hope the image I attached helps you identify the slope easier :)
The four types of slopes are negative, positive, zero, and undefined.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Slopes come in 4 different types: negative, positive, zero, and undefined.
Examples of equations
Positive: y=7x-4
Negative: -5x+3
Zero : y=0x-3
Undefined : x=3
Therefore, the four types of slopes are negative, positive, zero, and undefined.
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(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?
A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.
Answer:
A.
Step-by-step explanation:
For square one, the dark part added up= 1/4 of the whole big square.
For square 2. the colored in part= 1/4 of the whole big square.
For square 3. The colored part = 1/4 of the whole big square.
Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.
For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.
THE ANSWER IS A THOUGH.
peter types 360 words in half an hour how many words would he type in 10 minutes typing at the same rate
Answer:
120 words I believe
Step-by-step explanation:
360÷3=120
P = 2x + 2y
solve for x
Answer:
x = [tex]\frac{p}{2}[/tex] - y
Step-by-step explanation:
Answer:
x=-y+P/2 or P/2-y=x
Step-by-step explanation:
-2
What is the solution to the equation
-30 3
+
- 20-8
0-4
d+2?
O d = -4 and d = 2
O d= -2 and d = 4
O d=1
O d = 2
Answer:
It would be the 2nd one
Step-by-step explanation:
pls helppppppp its math
Answer:
th
e last oneStep-by-step explanation:
Answer:
I think its E because it's in between E and F and E and G
Step-by-step explanation:
NATURE The frequency of a male cricket's chirp is related to the outdoor temperature. The
relationship is expressed by the graph, where y is the temperature in degrees Fahrenheit and x is the
number of chirps the cricket makes in 14 seconds. Write an equation for the line in point-slope form.
PLEASE ANSWER I WILL DO ANYTHING I NEED THIS ASAP ITS DUE IN 3 MINUTES
above is the graph needed to answer this question
y−60=1(x−20) ,
y−40=x ,
y−50=1(x−10) ,
y−45=1(x−5) ,
or
y−55=1(x−15)
Step-by-step explanation: I have no idea
The equation for the graph written in point - slope form may be expressed thus y-60 = 1(x - 20)
The general form of a point - slope expression is :
y - y1 = m(x - x1) m = slopeTaking the pair of points (20, 60) :
x1 = 20 ; y1 = 60Slope = Rise / Run
Rise = (60 - 40) = 20Run = (20 - 0) = 20Slope = 20/20 = 1
Hence, the equation can be expressed thus by substituting the x1 and y1 values into the expression :
y - 60 = 1(x - 20)Therefore, the point - slope expression for the graph is y-60 = 1(x - 20).
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how do you divde fractions with whole numbers with gemdas
Example: 3/4 x 7
3 7
x
4 1
You multiply 3 and 7 to get 21.
Then multiply 4 and 1 to get 4.
Now you have 21/4.
Finally, you simplify.
5 1/4
hope it helps! :3
If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2
Answer:
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )
k = 1216
p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion
When q = 2, then
p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304
The value of p is equal to 304 when q is equal to 2
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of q is 8
Replace the values and find out k
[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 2
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]
The value of p is equal to 304 when q is equal to 2
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Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5
i dont know why i am in algebra when I dont understand it, is there anyone out there willing to help me understand it?
Answer:
i belive the answer is B
Step-by-step explanation:
Which expression completes the statement to form a true equation?
2 + 4 =
25
09
O2 + 9
O3 +9
Answer:
03 +9
Step-by-step explanation:
tell me if it was right and have a nice day ;)
What is the slope intercept form of a line perpendicular to the line y= -3/2x -7 which passes through (-3,-4)?
Answer:
y= -3/2^2-7x-23/2
Step-by-step explanation:
Answer:
y=-3/2x
Step-by-step explanation:
I really need help with this
Answer:
a. x=11°
b. ABC=106°, BCA=33° and BAC=41°
c. Sorry but I can't see the lines l and m
Step-by-step explanation:
a. the question stated that the sum of the measures of the angles in the triangle is 180°
so therefore equate all the values in the triangle to 180°
(9x+7)+ 3(x) + (3x+8)=180°
15x+ 15=180
15x=180-15
15x=165
Divide both sides by 15
therefore x=11
b. ABC=(9x+7)
where there is x put the x value you solved for there which is 11
therefore ABC=(9×11+7)= 106°
Do the same for BCA and BAC
An island has some portion submerged in water. Point A on the island is at negative 7 over 3 feet from the surface of the sea. Point B on the island is at negative 5 over 2 feet from the surface of the sea. Because negative 7 over 3 feet > negative 5 over 2 feet, what is true about the distance of the two points from the surface of the sea?
Answer:
1/6feet
Step-by-step explanation:
Given
Point A on the island = -7/3 feet from the sea surface
Point B on the island = -5/2 from the sea surface
The distance between the two points will be Point A - Point B
Distance between the two points = -7/3 - (-5/2)
= -7/3+5/2
Find the LCM
= {2(-7)+3(5)}/6
= -14+15/6
= 1/6
Hence the distance of the two points from the surface of the sea is 1/6feet
Answer:
1 / 6 feet
Step-by-step explanation:
Using the table, find the average rate of change between x=−1 and x = 2.
Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs $3.25. Eli has a total of $30 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, cc, and the number of pretzels purchased, p.p.
Answer: He spent $7.25 dollars.
Step-by-step explanation:
$3.50 + 3.25 = 7.25Inequality shows a relationship between two numbers or two expressions.
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
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,
Cost of candy = $3.50
Cost of a pretzel = $3.25
Total amount to spend = $30
Let the number of candies = c
Let the number of pretzels = p
The inequality to spend on possible numbers of candies and pretzels:
3.50c + 3.25p ≤ 30
Thus,
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
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If 22x = 23, what is the value of x?
Two-thirds
Three-halves
2
3
Answer:
B, or [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Got 100% on my quiz. Other guy is incorrect.
Find the sum by suitable rearrangement 163+432+237+548
Answer:1380
Step-by-step explanation:
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
9514 1404 393
Answer:
9 +3/4b
Step-by-step explanation:
The speed of the second cyclist is b more than 12 miles per hour, so is ...
2nd cyclist speed = b + 12
The time of interest is 45 minutes = (45/60) hours = 3/4 hours.
The distance the second cyclist travels in 3/4 hour is ...
distance = speed × time
distance = (b +12)(3/4)
distance = 3/4b +9 . . . miles
Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
lawn in feet?
A.15 ft
B.56 ft
C.28 ft
D.11 ft
Answer:
A. 15 ft
Step-by-step explanation:
I took the test.
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
What is square?A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .
Given that area of square shaped lawn is224.9 square feet.
We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .
We can calculate length side of lawn as
Area = [tex]a^2[/tex]
224.9 = [tex]a^2[/tex]
[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]
We know that length of side of square can't be negative so
[tex]a=14.9966\\\\a\approx 15 ft[/tex]
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
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If you have seen the user GOGETA10 please let me know. He is important to me
Answer:
sure
Step-by-step explanation:
It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?
Answer:
11 months
26+33(11)=389
59+30(11)=389
The 11 is in going for x and represents the months.