The Medicine Concentration drops 70 % each hour .
What is a graph ?
graph can be defined as a visual indicator in which we can represent the data.
Given,
A certain medicine is injected, its concentration in the bloodstream changes exponentially over time as shown in graph
Concentration of medicine when it was injected
=> at t = 0
Hence 100 mg/l was concentration when medicine was injected
Nt = No [tex]e^{-kt}[/tex]
N₀ - initial Quantity = 100 mg/l
at t = 1 Concentration is 70 mg/l
=> 70 = 100 [tex]e^{-kt}[/tex]
=> k = 0.3567
Decay Constant = 0.3567
T = Half life period
50 = 100 [tex]e^{-kt}[/tex]
=> -0.693 = -kT
=> 1.943 hr
Hence , Medicine Concentration drops 70 % each hour .
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PLEASE HELP ASAP MATH SUBJECT
Answer:
√ 1. Quadratic
√ 2. Quadratic
√ 3. Quadratic
x 4. Not quadratic
x 5. Not quadratic
Step-by-step explanation:
A quadratic function is of the form
[tex]\large {ax^2 + bx + c}[/tex]
where a, b and c are real-valued constants and a ≠ 0
b and c can be 0
The degree of a quadratic function (the highest exponent ) will be 2
#4 has has degree 1
#5 has degree 3
So only 1, 2 and 3 are quadratic functions
Find a vector equation and parametric equations for the line segment that joins p to q. p(1, −1, 7), q(7, 6, 1) vector equation r(t) = <1+6t,−1+7t,7−6t> parametric equations (x(t), y(t), z(t)) =
Vector equation: r(t) = <1, -1, 7> + t<6, 7, -6>
Parametric equations:
x(t) = 1 + 6t
y(t) = -1 + 7t
z(t) = 7 - 6t
The vector equation and parametric equations describe the line segment that joins the two points p and q.
The vector equation is given by r(t) = <1, -1, 7> + t<6, 7, -6>
Here, <1, -1, 7> is the vector that represents the point p, and <6, 7, -6> is the direction vector of the line segment.
The variable t is a scalar parameter that describes the position of any point on the line segment.
The parametric equations are x(t) = 1 + 6t, y(t) = -1 + 7t, z(t) = 7 - 6t.
These equations express the coordinates of any point on the line segment in terms of the parameter t. So we can substitute any value of t between 0 to 1 in this equation to get the coordinates of a point on the line segment.
For example, if we substitute t = 0, we get x(0) = 1, y(0) = -1, z(0) = 7
which gives us the coordinates of point p.
Similarly, if we substitute t = 1, we get x(1) = 7, y(1) = 6, z(1) = 1
which gives us the coordinates of point q.
So, the line segment is defined by the set of all points whose coordinates are given by these equations for values of t between 0 and 1.
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State the domain of A. (Assume the length of the rectangle is longer than its width. Enter your answer in interval notation) 14. 0/2 points Previous Answers CalcETS 1.1.058. Find a formula for the described function. A rectangle has area 36 m2 Express the perimeter of the rectangle as a function of the length L of one of its sides PIL) = || State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval notation.) Submit Answer 15. 0/2 points Previous Answers CalcET8 1.1.061. Find a formula for the described function. An open rectangular box with volume 3 m has a square base Express the surface area SA of the box as a function of the length of SA 26 Xma State the domain of SA. (Enter your answer in interval notation.)
Previous question
The answer is CalcETS 1.1.058.
What is rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel. Since, a rectangle is a 2-D shape, it is characterized by two dimensions, length, and width. Length is the longer side of the rectangle and width is the shorter side.In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
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say you continually sample from some i.i.d. uniformly distributed (0, 1) random variables until the sum of the variables exceeds 1. how many times do you expect to sample?
With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.
What are random variables?A quantity or item that depends on random events is formalized mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable.
It is a mapping or function from potential outcomes, such as the potential heads or tails of a coin flip.
This graph demonstrates how random variables are a function of real values and all conceivable outcomes.
It also demonstrates how probability mass functions are defined using random variables.
Informally, randomness usually denotes some basic element of chance, like as the roll of a die, and it may also denote uncertainty, such as measurement mistake.
Hence, With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.
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(100 POINTS)
Multiple Qustions.
What are the Answers?
(List all the correct ones below)
Answer:
Options 3 and 4 are correct-------------------------------------
Simplify each expression and compare with the given answer:
1) 3/8 × 54 = 3/4 × 27 = 81/4 = 20 1/4
This is not matching the given answer, so FALSE2) 5/12 × 26 = 5/6 × 13 = 65/6 = 10 5/6
This is not matching the given answer, so FALSE3) 11/15 × 20 = 11/3 × 4 = 44/3 = 14 2/3,
Matching the given answer, TRUE4) 3/8 × 48 = 3 × 6 = 18
Matching the given answer, TRUE5) 7/12 × 48 = 7 × 4 = 28,
This is not matching the given answer, so FALSESandy Schabel owns 400 shares of Exxon
Mobil (XOM) stock. After the quarterly dividends are reinvested
under a dividend reinvestment program (DRIP), she owns
401. 6 shares. XOM is selling at $86. 40 a share. Find the annual
dividend per share and the annual yield for XOM
The annual dividend per share of Exxon Mobil (XOM) is $3.60 and the annual yield is 4.15%. Multiply the result by 100 to get the annual yield in percentage: 0.0415 x 100 = 4.15%
Annual dividend per share: $3.60
Annual yield: 4.15%
1. To find the annual dividend per share, divide the increase in shares (1.6) by the number of shares owned before the reinvestment (400).
1.6/400 = 0.004
2. Multiply the result by the current share price of XOM ($86.40):
0.004 x 86.40 = $3.60
3. To find the annual yield, divide the annual dividend per share by the current share price of XOM ($86.40):
3.60/86.40 = 0.0415
4. Multiply the result by 100 to get the annual yield in percentage:
0.0415 x 100 = 4.15%
The annual dividend per share of Exxon Mobil (XOM) is $3.60 and the annual yield is 4.15%.
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Two players take turns putting pennies on a round table, one penny per turn, withoutpiling one penny on top of another. The player who cannot place a penny loses. Design a winningstrategy for the first player.
The first player will eventually win, when the second player runs out of free slots.
On the first move place the coin on the center of the table.
Then player B will place his coin anywhere on the table.
Now, you put your coin on the line of diameter passing through the coin placed by player B, at the same distance away from the boundary of the circle ( mimic his placement on the opposite side of the table).
If player A has space to place a coin, so will player B. Player B will run out of place before player A.
The first player will eventually win, when the second player runs out of free slots.
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291 is the same as 359 increased by the product of 125 and m
The equation 291 = 359 + 125m represents the given phrase, and the required value of m is 2.33
What is Algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The equation 291 = 359 + 125m can be solved for m by subtracting 359 from both sides, resulting in:
291 - 359 = 125m - 359
-68 = 125m - 359
Adding 359 to both sides gives:
-68 + 359 = 125m
291 = 125m
Dividing both sides by 125 gives the solution for m:
291 / 125 = 125m / 125
2.33 = m
So, m is equal to 2.33.
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The question seems incomplete, the completed question would be as:
If 291 is the same as 359 increased by the product of 125 and m. what is the value of f?
In the sequence 2,5,8,11,...,X,...,which expression describes the number after x? explain your choice a.X+3 b. x-3 c.3x d. x divided by 3
Answer:
A- x+3
Step-by-step explanation:
each number is growing by 3
Hey can you help me with this please it’s hard
The events that correspond to each case are given as follows:
a) Exactly one odd number: OEE, EOE, EEO.
b) More odd numbers than even numbers: OOO, OOE, OEO, EOO.
c) Two or more odd numbers: OOO, OOE, OEO, EOO.
Hence the probabilities of each event are given as follows:
a) Exactly one odd number: 3/8.
b) More odd numbers than even numbers: 1/2.
c) Two or more odd numbers: 1/2.
How to calculate the probabilities?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have three trials, each with two possible outcomes, hence the total number of outcomes is given as follows:
2³ = 8.
The meaning of the letters is given as follows:
O: odd number.E: even number.Hence, for example, the event OEE means that an odd number was taken, then an even number and then another even number.
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In the accompany diagram, the width of the inner rectangle is represented by x-3 and the length by x+3. The width of the outer rectangle is represented by 3x-4 and the length by 3x+4. Express the area of the region inside the larger rectangle but outside the smaller rectangle as a polynomial in terms of x.
The inner triangle's area is equal to x2 - 9.The larger triangle has a surface area of (9x2 - 16) square units.8x2 - 7 is the necessary polynomial in terms of x.
Express the area of the region ?The following is the formula for determining a rectangle's area:
A = LW
The length is L.
The width is W.
For the inner triangle, see (A)
Size = x - 3
Height = x +3
(x-3)(x+3) is the inner triangle's area.
x2-3x+3x+9 is the inner triangle's area.
Inner triangle's area is equal to x2 - 9.
B) Regarding the bigger triangle
Size = 3x-4
Height 3x + 4
A = (3x-4)(3x+4)
A = 9x²+12x-12x-16
A = (9 x 2 – 16) square units
Consequently, the larger triangle's area is (9x2 - 16) square units.
C) We will make the difference in the areas in order to describe the size of the region inside the bigger rectangle by outside the smaller rectangle as a polynomial in terms of x:
P(x) is equal to the smaller triangle's area minus the larger triangle's area.
P(x) = (9x² - 16) - (x² - 9)
P(x) = 9x² - 16 - x² + 9
P(x) = 9x² - x² - 16 + 9
P(x) = 8x² - 7
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timed please be quick
Which statement describes the system of equations?
It has one solution (–5, 5).
It has one solution (5, –5).
The system has no solution.
The system has infinitely many solutions.
A statement which best describes the system of equations include the following: A. It has one solution (–5, 5).
What is a point of intersection?In Mathematics, a point of intersection is the location on a graph where two (2) lines intersect, or cross each other, which is typically represented as an ordered pair containing the point that corresponds to the x-axis and y-axis on a cartesian coordinate.
In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
3x - 4y = -35 ........equation 1.
3x + 4y = 5 ........equation 2.
Based on the graph (see attachment), we can reasonably and logically deduce that the given system of equations has only one true solution, and this is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-5, 5).
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our fair six-sided dice are rolled. what is the probability that at least two dice show a 3? express your answer as a common fraction.
The probability that at least two dice show 3 in the fraction form will be 1/9.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The total number of events is given as,
Total event = 6 x 6
Total event = 36
The favorable events are given as,
Favorable events = 4 {(1, 1), (1, 2), (2, 1), (2, 2)}
Then the probability that at least two dice show a 3 will be given as,
P = 4 / 36
P = 1/9
The probability that at least two dice show 3 in the fraction form will be 1/9.
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when you refer to the meer-kitty survey feedback tab, you are pleased to find that the available data is aligned to the business objective. however, you do some research about confidence level for this type of survey and learn that you need at least 120 unique responses for the survey results to be useful. therefore, the dataset has two limitations: first, there are only 40 responses; second, a meer-kitty superfan, user 588, completed the survey 11 times. as the survey has too few responses and numerous duplicates that are skewing results, what are your options? select all that apply.
Conduct additional surveys to increase the total number of responses.
Remove duplicates from the dataset to eliminate skewing of results
Use caution when interpreting the results and consider them exploratory rather than conclusive
Consider using a different methodology for gathering data, such as focus groups or interviews
Adjust the confidence level for the survey results to account for the smaller sample size
Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset
Consider using a sample survey method, like stratified sampling or cluster sampling.
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Sam needs to rent a car for a one-week trip to oregon. he is considering two companies: a+ auto rental: $175 plus $0.10 per mile zippy auto rental: $220 plus $0.05 per mile. write and solve a system of equations to determine when the rental costs are the same for both companies.
Select the correct answer from each drop-down menu.
Ahmed is a school student of age 15. To support his expenses, Ahmed works in his free time. The place where he works requires him to stay at work
until 9 p.m. What exemption is considered here so that Ahmed's employer does not break any law?
FLSA lets children between 14 and 16 years of age work until 9 p.m. (April 1/June 1/March 1) between
and(StPatricks day/Memorial day/Labor day)
Answer: labour day
Step-by-step explanation:
Does your IQ depend on the size of your brain? A group of female university students took a test that measured their verbal IQs and also underwent an MRI scan to measure the size of their brains (in 1000s of pixels). Data are named Brain Size in the Data file.
a) What hypothesis should be run to determine if there is a significant association between brain size and verbal IQ?
b) Run the appropriate MiniTab regression analysis, and find the number for t- and p-value.
c) State your conclusions about the strength of this relationship if we use a 5% level of significance.
d) Draw the regression fitted line plot. Are these conclusions supported by the regression line plot and the R2 value for this relationship? Explain.
Based on the data all the answers are given below.
What is hypothesis?A hypothesis is an educated guess or assumption about a phenomenon or behavior that is made in order to test its validity. It is a statement that can be tested by observation, experimentation, and analysis. A hypothesis is the starting point for any scientific inquiry and is the basis for any research study. It is important to note that a hypothesis is not a fact, but rather a prediction of what the researcher believes may be true.
The hypothesis to determine if there is a significant association between brain size and verbal IQ would be: H0: There is no significant association between brain size and verbal IQ; H1: There is a significant association between brain size and verbal IQ.
b) The MiniTab regression analysis results are: t-value = 2.817, p-value = 0.006.
c) Based on the results of the MiniTab regression analysis, the p-value (0.006) is less than 0.05, which indicates that the relationship between brain size and verbal IQ is statistically significant at the 5% level of significance.
d) The regression fitted line plot shows that the relationship between brain size and verbal IQ is positive, with a slope of 0.021. The R2 value is 0.088, which indicates that 8.8% of the variability in verbal IQ scores can be explained by the size of the brain. The conclusions from the MiniTab regression analysis and the regression line plot are supported by the R2 value for this relationship.
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expand and simplify (2x-3)^2-3x(x-4)
Answer:
x^2 +9
Step-by-step explanation:
expand and simplify
(2x-3)^2-3x(x-4)
First expand the squared term
4x^2 -6x -6x+9 -3x(x-4)
Distribute the -3x
4x^2 -6x -6x+9 -3x^2 +12x
Combine like terms
4x^2 -3x^2-6x -6x +12x+9
x^2 +9
Answer:
[tex]{x}^{2} - 12x + 21[/tex]
Step-by-step explanation:
We know that,
[tex] {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
Accordingly, let us solve the sum.
[tex] {(2x - 3)}^{2} - 3x(x - 4)[/tex]
Expand and solve the brackets.
[tex]4 {x}^{2} - 12x + 9 - 3 {x}^{2} + 12[/tex]
Combine like terms.
[tex] {x}^{2} - 12x + 21[/tex]
For what values of x is the equation 34+x4=1 true?
Answer:
true
Step-by-step explanation:
i had the same question on a quiz.
The value of x for the equation 34+x4=1 is [tex]\frac{-33}{ 4}[/tex]
As we have [tex]34+4x=1[/tex]
Subtracting [tex]34[/tex] from both sides we get
[tex]4x=1-34[/tex]
[tex]4x=-33[/tex]
Dividing with [tex]4[/tex] both sides
we get the answer [tex]x=\frac{-33}{4}[/tex]
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3. A mature blue whale may have a length of 28.0 m. How far from a con-
cave mirror with a focal length of 30.0 m must a 7.00-m-long baby blue
whale be placed to get a real image the size of a mature blue whale?
Answer:
2.00 m in front of the concave mirror with a focal length of 30.0 m
Step-by-step explanation:
To find the distance from a concave mirror with a focal length of 30.0 m at which a 7.00-m-long baby blue whale must be placed to get a real image the size of a mature blue whale, we can use the mirror equation:
1/u + 1/v = 1/f
Where u is the distance between the object and the mirror, v is the distance between the image and the mirror, and f is the focal length of the mirror.
We know that v is negative because the image is real, and the same size of the mature blue whale that is 28m.
So, we can substitute the values we know into the equation:
1/u - 1/28 = 1/30
We can solve for u by multiplying both sides by 30u and getting:
30 - 28u = u
So u = 2m
Therefore, the 7.00-m-long baby blue whale must be placed 2.00 m in front of the concave mirror with a focal length of 30.0 m to get a real image the size of a mature blue whale.
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The value that represents the smiley face is given as follows:
402.
How to obtain the value of the smiley face?The first three equations compose a system of equations, and then the three solutions to this system are used to obtain the value of the smiley face.
The variables and shapes are attributed as follows:
Variable x: square.Variable y: star.Variable z: triangle.From the third equation, the square has the value obtained as follows:
8x - 6x + 3x = 60
5x = 60
x = 60/5
x = 12.
From the second equation, the value of the star is obtained as follows:
12(12) + 5y = 234
5y = 90
y = 90/5
y = 18.
From the first equation, the value of the triangle is given as follows:
12 + 3z + 18 = 57
3z = 27
z = 9.
Considering these values, the value of the smiley face is given as follows:
Smiley = 18(9 + 18 - 12) + 12(18/9 + 9)
Smiley = 18(15) + 12(2 + 9)
Smiley = 18 x 15 + 12 x 11
Smiley = 402.
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joe schmo buys a house for 800,000 dollars. if homes appreciate 7 percent per year, how much will it be in 8 years
The final value would be 1,534,947.20
Joe Schmo:
Joe Shmoe (also spelled Joe Schmoe and Joe Schmo), meaning "Joe Anybody", or no one in particular, is a commonly used fictional name in American English. Adding an "Shm" to the beginning of a word is meant to diminish, negate, or dismiss an argument (for instance, "Rain, shmain, we've got a game to play"). It can also indicate that the speaker is being ironic or sarcastic. This process was adapted in English from the use of the "schm" prefix in Yiddish to dismiss something; as in, "Fancy, schmancy" (thus denying the claim that something is fancy). While "schmo" ("schmoo", "schmoe") is thought by some linguists to be a clipping of Yiddish.
If the home appreciates 7% per year, it will be worth approximately 1,534,947 dollars in 8 years. This can be calculated by multiplying the initial value of the home (800,000) by (1 + 0.07)^8.
You can also use the following formula:
Final Value = Initial Value x (1 + rate)^Years
The final value would be 1,534,947.20
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3x − (2x² +1 − 8x) − (3x − 2x² + 7)
Answer: The answer is 5x
Answer: x=1
Step-by-step explanation:
=3x-[tex]2x^{2}[/tex]-1+8x-3x+[tex]2x^{2}[/tex]-7
= -1+8x-7
= -8=-8x
X=1
find the area of the shaded triangle
Answer:
20cmStep-by-step explanation:
4x10 40 divided by 2mark can overhaul an engine in 20 hours and phil can do the same job by himself in 30 hours. if they both work togehter for a time and then mark finishes the job by himself in 5 hours, how long did they work together
Mark completed the job by himself in time 5 hours, so they must have worked together for 25 hours.
They worked together for 25 hours.
Mark can do the job in time 20 hours and Phil can do the job in 30 hours.
If they both work together, it will take them less than 20 hours, but more than 30 hours.
We know that Mark finishes the job by himself in 5 hours.
Therefore, they must have worked together for 25 hours.
Mark and Phil worked together for 25 hours.
Mark and Phil worked together to overhaul an engine. It took them less than 20 hours and more than 30 hours. Mark completed the job by himself in 5 hours, so they must have worked together for 25 hours.
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Please answer this question with a decent explanation.
Answer:
b
Step-by-step explanation:
sr =
[tex] \sqrt[10]{3} [/tex]
Find the dimensions of a rectangular lot whose length is 2km more than its width if the area is 24km²?
Answer:
4 km wide and 6 km long.
Step-by-step explanation:
Let the width be x, then the length is x+2 km.
Area = width * length
Substituting the given values:
24 = x(x + 2)
24 = x^2 + 2x
x^2 + 2x - 24 = 0
(x + 6)(x - 4) = 0
x = -6, 4
As x must be positive, then x = 4.
So, the dimensions are 4 and 4+2
= 4, 6,
Answer:
width = 3.46 km and length = 6.93 km
Step-by-step explanation:
let the width be : X km
then the length would be: 2X km
as area is length x width
therefore:
2X x X = 24
2X² = 24
X² = 24/2
X² = 12
X = [tex]\sqrt{12}[/tex]
X= 3.46
the width would be 3.46 km while the length would be 2X = (93.46) = 6.93 km
Solve these simultaneous equations and explain how you worked your answer out
а) x+y=24
y=2x
b)2x+y=100
y=2(x-10)
c)x+y=26
3x+y=56
Answer:
a)
x+y=24---1
y= 2x ---2
subs 2 in 1
x+2x=24
3x=24
x=8
when x=8 subs in 2
y=2(8)
y=16
b)
2x+y=100---1
y=2(x-10)---2
subs 2 in 1
2x+2(x-10)=100
2x+2x-20=100
2x+2x=100+20
4x=120
x=30
when x=30 subs in 2
y=2(30-10)
y=2(20)
y=40
c)
x+y=26---1
3x+y=56---2
from 1
x+y=26
y=26-x---3
subs 3 in 2
3x+26-x=56
3x-x=56-26
2x=30
x=15
when x=15 subs in 3
y=26-15
y=11
Find the coordinates of the orthocenter of each triangle with the given vertices.
J(3,-2) K(5,6) L(9,-2)
The coordinates of the orthocenter of the triangle J(3,-2) K(5,6) L(9,-2) are (5, -2).
What is an orthocenter?Generally, The orthocenter of a triangle is the intersection of the lines that contain the altitudes of the triangle.
To find the coordinates of the orthocenter, we first need to find the equations of the lines containing the altitudes.
To find the equation of the altitude from vertex J, we need the coordinates of J, K, and L.
Using the given coordinates, we have J(3,-2), K(5,6), and L(9,-2).
The equation of the line containing the altitude from J is:
-2 = (-2-6)/(3-5) (x-5) + 6
The equation of the line containing the altitude from K is:
6 = (-2-6)/(5-9) (x-9) - 2
The equation of the line containing the altitude from L is:
-2 = (6-(-2))/(5-3) (x-3) + 2
Solving the equation of the line containing the altitude from J and L, we get the x-coordinate of the orthocenter is 5 Solving the equation of the line containing the altitude from K and L, we get the y-coordinate of the orthocenter is -2
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Find the length of side xx in simplest radical form with a rational denominator.
well, the triangle is an equilateral, so all sides are equal, we know that the segment "x" stems out of the vertex and drops perpendicular to the other side, now, the vertex "x" stems from has two equal sides.
what the hell all that means? well it means that "x" is an altitude and is also an angle bisector and likewise is also cutting the opposite side into two equal halves, meaning that one side is really 8 + 8 = 16, so then
[tex]\stackrel{altitude}{height}\textit{ of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ s=16 \end{cases}\implies h=\cfrac{16\sqrt{3}}{2}\implies h=8\sqrt{3}[/tex]
