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
Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places
Answer:
0.8944
Step-by-step explanation:
We start by calculating the z-score
To calculate the z-score, we shall need the standard deviation
Mathematically, standard deviation is square root of variance
that will be; SD = √108,900 = 330
Formula for z-score is;
x-mean/SD/√n
where n is 65 in this case
z-score = (3882-3831)/330/√65 = 1.25
The probability we want to calculate is;
P( X < 1.25)
we can use the standard normal distribution table for this
Using the table;
P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places
Answer:
0.8944
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
------------------
Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
------------------
Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )
------------------
9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2A company's stockwas selling at 24$ a share.A month later it was selling at $30 a share. What is the percent gain
Answer:
20%
Step-by-step explanation:
% increase = (final − initial) / initial × 100%
= (30 − 25) / 25 × 100%
= 20%
Answer:
The percent gain is 25%
Step-by-step explanation:
I have to order it from least to greatest in absolute value, and i dont get it can anyone help?
Answer:
ight A on top since it's the cmallest followed by B,C,D,E
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0,3) and (-17,1)
Whats the answer? Need help ASAP
Answer:
the equation: y=2/17x+3
the slope: 2/17
Step-by-step explanation:
Which equation is parallel to a line with a slope of 2 and passes through (2, -1)
Answer:
y=2x-5
Step-by-step explanation:
After traveling 345 miles, the Johnston family stopped at a rest stop for lunch. Looking at the map, they realized they had completed 3/5 of the trip. If d represents the total distance in miles, which equation can be used to find d?
A. 3/5 divided by d = 345
B. 3/5 x d = 345
C. 345 x d = 3/5
D. 345 divided by d = 5/3
Answer:
B
Step-by-step explanation:
Answer:
B. 3/5 x d = 345
Step-by-step explanation:
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
HELP PLEASE!!! STATISTICS
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year
Which equation can be used to determine the number of years, 2, at which the trees will be an equal height?
A:14 + 12x= 16 + 2x
B:16 + 12x = 14 +2x
С:12 + 16x =2 + 14x
D:12 + 14x= 2 + 16x
Answer:
The answer is D
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Variety [A] = 14x + 12
Variety [B] = 16x + 2
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ5
Work out, giving your answer in its simplest form:
5/
14
x
7/
30
what is 2(u-3)=6u+10
Answer: =-4
Step-by-step explanation:
Avi uses a 3.5-m
ladder to climb up
to his tree house.
The foot of the
ladder is 0.8 m
from the tree. How
far
up
the tree does
the ladder reach?
Alinehasaslopeof 1/3 anda y-intercept of –5What isitsequationin slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = \frac{1}{3}x - 5[/tex]
Step-by-step explanation:
Given
[tex]slope\ (m) = \frac{1}{3}[/tex]
[tex]y\ intercept = -5[/tex]
Required
Determine the line equation in slope intercept
The equation of a line in slope intercept is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope = \frac{1}{3}[/tex]
[tex]b = y\ intercept = -5[/tex]
So, [tex]y = mx + b[/tex] becomes
[tex]y = \frac{1}{3}x - 5[/tex]
Find the area of a room that has a length of 3x + 1 and a width of 2x + 3.
Answer:
6x^2+11x+3
Step-by-step explanation:
Area= Length*Width
Area= (3x+1)(2x+3)
Use method FOIL (Front,Out,In,Last)
(3x*2x)+(3x*3)+(2x*1)+(3*1)
= 6x^2+9x+2x+3
Simplify:
6x^2+11x+3
what is 2+2 and what is your favorite song?
Answer:
2+2=4 and my fave song is blood in the water
Step-by-step explanation:
Mark Deathshot brainliest
Answer:
4 and i see a dreamer
Step-by-step explanation:
Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?
Answer:
mars is 140 times farther than the moon
Step-by-step explanation:
hope this helped :-)
what the number 820.681 in expanded form using powers of 10
Answer:
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]820.681 = 8 \times 100 + 2 \times 10 + 6 \times 0.1 + 8 \times 0.01 + 1 \times 0.001[/tex]
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. (See figure.) How long is the pass? (Round your answer to the nearest yard.)
The answer would be 44.9 yard.
Please help! 30 points!
Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.
Answer:
((6 x 3 + 4/2) x 5 ) / 1
What is the image of (−8,2) after a reflection over the y-axis?
Answer:
8, -2
Step-by-step explanation:
A table measures 3.5 ft by 2.5 ft. What is the area of the table?
Answer:
A = 8.75 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a table is
A = Length x Width
Given: Length=3.5ft and Width=2.5ft
A = 3.5ft x 2.5ft = 8.75 [tex]ft^{2}[/tex]
Brainiest to the first CORRECT answer
Step-by-step explanation:
(9.16 * -30)= -27.48
(5.5 x 160)° 880
Will mark brainliest - GEOMETRY, show work plz
Answer:
1. Slope is 3/2
2. Slope is -2/3
3. Slope is 3/2
Step-by-step explanation:
Plz mark as Brainliest!
Answer:
Step-by-step explanation:
(-8-4)/(5+3)= -12/8= -3/2
perp. 2/3
y - 4 = 2/3(x + 3)
y - 4 = 2/3x + 2
y = 2/3x + 6
y - 4 = -3/2(x + 3)
y - 8/2 = -3/2x - 9/2
y = -3/2x - 1/2
The ratio of right-handed students to left-handed students is 8 to 3.There are 520 right-handed students in school.How many students are left-handed
Answer:
195 students are left-handed
Step-by-step explanation:
Here, we want to calculate the total number of students who are left-handed
Let the total number of students in the school be x
The total ratio is 8 + 3 = 11
8/11 * x = 520
8x = 11 * 520
x = (11 * 520)/8
x = 715 students
So the number of students who are left handed will be;
Total - number of right-handed students
That would be;
715-520 = 195
2. H(x) is a quadratic function and H(1) = 1, H(-2) = 16, and H(3) = 11. What is the value of H(-1)?
A. 7
B. 3
C. -3
D. 8
E 5
Answer:
d
Step-by-step explanation:
Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.
Answer:
Zeke had a 2.17% margin of error in his estimation.
Step-by-step explanation:
To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:
2/92 = X/100
This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.
Cross-multiply your numbers:
(2)(100) = 92X
200 = 92X
X = 2.1739
Then, once you round it, your answer would be X = 2.17.
Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of game play. Each software package costs $30. If their total cost is $90, what is the cost of one month of gameplay?
Answer: $10
Step-by-step explanation:
Angie buys = 1 software package and 1month of gameplay.
Kenny buys = 1 software package and 2 months of game play.
Cost of each software package = $30. Total cost = $90
The total cost is the addition of what Kenny and Angie bought. This will be:
(1 SF + 1 G) + (1 SF + 2 G) = 90
where,
SF = software package = 30
G = game
(1 SF + 1 G) + (1 SF + 2 G) = 90
30 + 1G + 30 + 2G = 90
60 + 3G = 90
3G = 90 - 60
3G = 30
G = 30/3
G = 10
One month of game play cost $10
A hospital bill is estimated to be $480.00. It ends up actually costing the patient $524.50. What is the percent of error in the bill? Round to the nearest tenths place.
Answer: 8.484%
Step-by-step explanation:
The formula for percentage error is calculated as:
= (actual value observed - expected value) / expected value × 100
where,
Actual value observed = $480.00
Expected value = $524.50
Percent error = ($480.00 - $524.50)/$524.50 × 100
= -$44.50/$524.50 × 100
= -0.08484 × 100
= -8.484
= 8.484%