Urgent!!!!!
Help guys I need to answer the questions a. b. c. d. e.
I would appreciate it.
Answers
a. The concentration would be 0.5 mg/L at approximately t = 40 hours.
b. The table representing the concentration of the drug in the bloodstream, t hours after administration is shown below.
c. A reasonable domain for this function is t ≥ 0.
d. The patient should receive the next intravenous dose of the drug in order to maintain a concentration above 1 mg/L and below 8 mg/L at t = 1.25 hour.
e. The concentration of the oral drug and the concentration of the intravenous drug would keep increasing over the first 20 hours after it is administered.
How to calculate when the concentration will be 0.5 mg/L?In order to determine the time when the concentration would be 0.5 mg/L, we would substitute the value of the concentration and then solve the quadratic function for time (t);
c(t) = 20t/(t² + 4)
0.5 = 20t/(t² + 4)
0.5(t² + 4) = 20t
0.5t² + 2 = 20t
0.5t² + 2 - 20t = 0
t² + 4 - 40t = 0
t² - 40t + 4 = 0
Time, t = 38.8998 ≈ 40 hours.
Part b
In this context, we would complete the table of values at various time (t) as follows;
t 0 2 4 6 8 10 12 14 16 18 20
c(t) 0 5 4 3 2.35 1.92 1.62 1.4 1.23 1.10 1.00
Part c
Since the concentration of the drug at time, t = 0 is equal to 0 mg/L and the concentration actually never becomes zero (0) for any value of time (t), we can reasonably infer and logically deduce that a reasonable domain for this quadratic function is t ≥ 0 or {0, ∞}.
Part d and e
Furthermore, the intravenous drug must be administered to the patient between the time interval 1.25 ≤ t ≤ 20 in order to maintain a concentration above 1 mg/L and below 8 mg/L.
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Related Questions
Evaluate f(x)=x/3 -15 when x =27
Answers
Answer:f(27)=-6
Step-by-step explanation:
Which choice is an irrational number?
A 4π/π
B 2 6
C 18
D 21.989
Answers
Answer: The correct option is B) 2√6
explanation:
a number is called irrational if it cannot be written in the form ,p/q where p and q are integers and q ≠0. a number is called rational if it can be written in the form ,p/q where p and q are integers and q ≠0.A) 4π/π = 4 (This simplifies to 4, which is a rational number since it can be expressed as a fraction 4/1.)
B) 2√6 = irrational number (The square root of 6 cannot be simplified to a fraction or whole number, so it is an irrational number.)
C) 18 = rational number (This is a whole number and can be expressed as a fraction 18/1.)
D) 21.989 = rational number (This is a decimal number, but it can be expressed as a fraction, such as 21989/1000.)
Answer:
correct answer BStep-by-step explanation:
because 2 surd 6 will continue to give you an infinite number which is an irrational number
Okay so this is for my portfolio. I have two figures; a rectangular prism (think cereal box) and a cylinder. Is it possible for the cylinder to have a larger VOLUME than the prism, but a smaller measurement of cubic inches?? (Please say yes )
Answers
Step-by-step explanation:
No, it is not possible. Cubic inches are a measurement of volume. If the cylinder has a larger volume, then it also has more cubic inches.
Answer:
no TWT
Step-by-step explanation:
Because these solids have the same height and the same cross-sectional areas at every level, the solids have the same volume due to Cavalieri's principle. The volume of the prism is: V = A B a s e ⋅ h = π r 2 h Therefore, the volume of the cylinder is: V = π r 2 h This should make sense because a cylinder is essentially a circular prism. Also Its cool that we both go to Connexus, i saw it from an old post of yours <3
Please hurry!!
A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The
100
function f(x)= -5
X represents the remaining time in minutes needed to fill the tank. How is the graph of the
parent function (x)-
-
100
transformed to create the graph of the function (x)=
X
O It is a vertical stretch with a factor of 100 and a translation 5 units right.
O It is a vertical stretch with a factor of 95.
O
It is a vertical stretch with a factor of 100 and a translation 5 units down.
It is a vertical stretch with a factor of 500.
-5?
Answers
The function is transformed and it is a vertical stretch with a factor of 100 and a translation 5 units down
Given data ,
Let the transformed function be represented as f' ( x )
Now , The pace of filling a 100-gallon fish tank is x gallons per minute. The tank has been filling for five minutes already.
The parent function's graph is f (x) = x.
Consequently, the function's graph is provided as
f ( x ) = ( 100/x ) - 5
The graph is now 100 times longer vertically, giving us f (x) = 100/x.
By translating by 5 units down, we obtain f (x) = (100/x) - 5.
Hence , it is a translation of 5 units down and a vertical stretch of 100.
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31. Find the area of the shape below: 15m 3m (a) 87m² (b) 102m2 (c) 152m² (d) 18m² (e) 207m2 4m 6m 6m 3m
Answers
Hello!
see attachment
A1 = green
A2 = yellow
A3 = red
A1 = 15m * 3m = 45m²
A2 = (15m - (6m + 6m)) * 4m = 3m * 4m = 12m²
A3 = 15m * 3m = 45m²
A = A1 + A2 + A3
= 45m² + 12m² + 45m²
= 102m²Answer:
b. 102 m²
Step-by-step explanation:
In order to find the area of shape.
Let's separate it into three rectangle.
We know that
Area of rectangle: Length*breadth
Using this
Area of left rectangle=15*3=45 m²
Area of middle rectangle=4*(15-6-6)=12 m²
Area of right rectangle= 15*3=45m²
Now
Total Area of shape= 45m²+12m²+45m²=102m²
x3+y3+z3=k
that the question that i spend along time on and i haven't found an answer but i found this site and tried to solve a couple questions it gave me everything needed so i well try to see if you guys could help me with this
Answers
The cube root of both sides to solve for x variable is
x = (k - y^3 - z^3)^(1/3)
You can solve for y or z in terms of the other variables by rearranging the original equation.
Given the equation: x^3 + y^3 + z^3 = k.
To solve this equation for one of the variables (x, y, or z), you would need additional information or constraints. However, I can provide you with a general method to express one variable in terms of the others. Let's solve for x:
Step 1: Subtract y^3 and z^3 from both sides of the equation.
x^3 = k - y^3 - z^3
Step 2: Take the cube root of both sides to solve for x.
x = (k - y^3 - z^3)^(1/3)
Now, x is expressed in terms of y, z, and k. If you have any specific values for y, z, and k, you can substitute them into this equation to find the corresponding value of x. Similarly, you can solve for y or z in terms of the other variables by rearranging the original equation.
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Translate this expression: -3 decreased by the product of 5.1 and a number
Answers
The equivalent value of the expression is A = -3 - ( 5.1 x n ) , where n is the number
Given data ,
Let the expression be represented as A
Now , the value of A is
A = -3 decreased by the product of 5.1 and a number
On simplifying , we get
Let the number be represented as n
A = -3 - ( 5.1 x n )
On further simplification , we get
A = -3 - ( 5.1n )
Hence , the equation is A = -3 - ( 5.1n )
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Find the circumference of a circle with diameter, d = 4.13m. Give your answer rounded to 2 DP
Answers
A circle with a diameter of 4.13 meters will have a circumference of 12.97 meters.
Given that:
Diameter, d = 4.13 meters
The circumference is a term used in geometry to describe the boundary or the outer edge of a closed curve, particularly a circle. It refers to the distance around the circle, measured along its outer edge. In simpler terms, the circumference is the total length of the circle.
Let d represent the circle's diameter. The circle's perimeter will be provided as,
C = πd
The formula for calculating a circle's circumference is
C = 3.14 x 4.13
C = 12.9682
C ≈ 12.97 m
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An economy's consumer price index (CPI) is described by the function f(t)=-0.1t^3+3t^2+500 where t=0 corresponds to the year 1995. Find the point of inflection of the function.
Answers
Explanation: the point of inflection refers to when a function switches concavity (i.e. up or down). If the second derivative of f is positive, the graph is concave up, and if it is negative, the graph is concave down. This means that the graph switches concavity when the second derivative equals zero.
To find the second derivative (f’’(t)), we shall first find f’(t), or the first derivative. Because each term is separated by addition/subtraction, we can take the derivative of each term separately. Using the power rule, ((d/dx)(-0.1t^3)) = -0.1(3)(t)^(3-1)= -0.3t^2. For d/dx of 3t^2, use the power rule again: 3(2)t^(2-1) = 6t. The derivative of 500 is 0 because it is a constant. f’(t) = -0.3t^2 + 6t.
Now we shall do this process again to find the second derivative. For the first term, d/dx of -0.3t^2 = -0.3(2)t^(2-1) = -0.6t. For 6t, d/dx equals 6(1)t^(1-1) = 6. f”(t) = -0.6t + 6
Now that we have the second derivative, we set it equal to zero and solve for t. 0 = -0.6t + 6, -6 = -0.6t, t = 10. Because t = 10 years, the point of inflection occurs in 1995 + 10 = 2005.
4. Gilbert generated the shape below on a computer. The shape contains an isosceles triangle with a
height of 8 centimeters. Determine the area of the shape to the nearest tenth of a square centimeter.
10 cm
8 cm
12 cm
10 cm
Answers
the area of the shape to the nearest tenth of a square centimeter is 12cm². Opti C
How to determine the value
The formula for calculating the area of a an isosceles triangle is expressed as;
A = 1/2bh
Such that the parameters are expressed as;
A is the area of the triangleb is the base of the triangleh is the height of the triangleFrom the information given, we have that;
base = 3 centimeters
Height = 8 centimeters
Substitute the values, we have;
Area = 1/2 ×8 × 3
Multiply the values, we have;
Area = 24/3
Divide the values
Area = 12 cm²
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Select ALL the correct answers. Which of the following statements are true about the equation below? The graph of the quadratic equation has a maximum value. The extreme value is at the point (7,-3). The graph of the quadratic equation has a minimum value. The solutions are . The extreme value is at the point (3,-7). The solutions are .
Answers
The correct statements regarding the quadratic function x² - 6x + 2 are given as follows:
The graph of the quadratic equation has a minimum value.The solutions are: x = 0.35 and x = 5.64.The extreme value is at the point (3,-7).How to analyze the quadratic function?The quadratic function in the context of this problem is given as follows:
y = x² - 6x + 2.
The coefficients are given as follows:
a = 1, b = -6, c = 2.
As a > 0, the function is a concave up quadratic function, hence it has a minimum value.
Using a calculator with the given coefficients, we have that:
The solutions are: x = 0.35 and x = 5.64.The vertex is: (3, -7).Missing InformationThe function is:
y = x² - 6x + 2.
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1) Given a sample of lifetime of the light bulbs X1, X2, X3,. X36) with LX =1800 hours, ›X2-90560 and level of confidence c = 95%. Find the Point Estimate X =
Answers
Step-by-step explanation:
if the length of a Square Garden is 49 feet than what it is area
100 Points! Graph the function. State the domain and range of the function. Photo attached. Thank you!
Answers
Answer:
Domain: [tex]x\geq -2[/tex]
Range: [tex]y\geq 0[/tex]
Step-by-step explanation:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
have a great day and thx for your inquiry :)
Fill the boxes to show the numbers marked with arrows on the number line. 1 +TH++
Answers
The inequality that of the number line is x < 8
Stating the inequality that represents the number lineFrom the question, we have the following parameters that can be used in our computation:
The number line (see attachment)
On the number line, we have the following
Open circle on 8Arrow points to the left of 8The above means that we make use of the less than symbol
This is because the open circle uses < or > while arrows pointing left means <
So, we have
x < 8
Hence. the inequality that best describes the included values of x is x < 8
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I need the answer and work for these please
Answers
Answer:
Step-by-step explanation:
Hello!
Start With Plugging the numbers in (5) Now use your units to divide and multiply to get your answer
A company bought a photocopier for R150 00 on 1 july 2022,they will use the old photocopier as a trader in when they replace it with the a similar new photocopier in 5 years time on 2027.
calculate the trade in value of the old photocopier after 5 years,if it depreciates at a rate of 9% p.a on straight line method.
Answers
Answer:
do it yourself what do you do while teacher is teaching
A $525,000 adjustable-rate mortgage is expected to have the following payments:
Year Interest Rate Monthly Payment
1–5 4% $2,506.43
6–15 6% $3,059.46
16–25 8% $3,464.78
26–30 10% $3,630.65
A fixed-rate mortgage in the same amount is offered with an interest rate of 4.85%.
What is the difference in the total cost between the two mortgages, rounded to the nearest dollar?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$159,134
$153,796
$901,409
$668,123
Answers
The difference in total cost between the two mortgages is $168,852. The Option A is closest.
What is the difference in the total cost?To get total cost of the adjustable-rate mortgage, we have to find total payments for each period and add them up.
Using the monthly payments, we get:
Total payments for years 1-5:
= $2,506.43 x 12 x 5
= $150,385.80
Total payments for years 6-15:
= $3,059.46 x 12 x 10
= $367,135.20
Total payments for years 16-25:
= $3,464.78 x 12 x 10
= $415,773.60
Total payments for years 26-30:
= $3,630.65 x 12 x 5
= $217,839.00
Total cost of adjustable-rate mortgage: $1,151,133.60
The total cost of the fixed-rate mortgage is computed as follows. The Total payments for 30 years is:
= Monthly payment x Number of payments
= $2,728.56 x 12 x 30
= $982,281.60
The difference in total cost is:
= $1,151,133.60 - $982,281.60
= $168,852.00.
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need answer please.
Answers
The area is 96 square inches.
Answer:
64[tex]ft^{2}[/tex]
Step-by-step explanation:
Calculate the (lateral) faces that need to be stained.
[tex]a = lw[/tex]
Assuming that you have to stain all four sides and not just the facade, find the surface area of each face and then find the sum. That sum will be your answer.
Apply the formula given above.
4*4 = 16
the area of one face is 16[tex]ft^{2}[/tex]
multiply 16 by 4 = 64
There are 12 people on a basketball team. The coach chooses 3 players to play
three different positions. How many ways can the players be chosen?
Answers
Answer:
There are 12 ways to choose the first player, 11 ways to choose the second player, and 10 ways to choose the third player. However, this counts each group of 3 players 3 times, since the order in which the players are chosen doesn't matter. Therefore, the number of ways to choose 3 players from 12 is
3×2×1
12×11×10
=220.
Step-by-step explanation:
The spinner will be spun two times.
What is the probability that both spins result in the same color?
Answers
Answer: 11/32
Step-by-step explanation:
The formula for finding this is:
(yellow and yellow) or (pink and pink) or (blue and blue)
First find the probability that both spins will be yellow:
2/8 * 2/8 = 1/16
There are 2 yellow spots out of the 8 total spots.
Because you need to spin yellow and yellow, you multiply the two fractions.
This logic applies to pink and blue.
Next pink:
3/8 * 3/8 = 9/64
Blue:
3/8 * 3/8 = 9/64
Find the probability that you will spin yellow or pink or blue:
1/16 + 9/64 + 9/64 = 11/32
Whenever finding the probability of something or something else, add them.
What is the area of DEF? D to F is 7.65, d to e is 2.12 and e to f is 6
Answers
A = sqrt(s(s-a)(s-b)(s-c))
where s is the semiperimeter of the triangle, defined as:
s = (a + b + c)/2
In this case, we have:
a = DE = 2.12
b = EF = 6
c = DF = 7.65
The semiperimeter is:
s = (a + b + c)/2 = (2.12 + 6 + 7.65)/2 = 7.885
Therefore, the area of triangle DEF is:
A = sqrt(s(s-a)(s-b)(s-c)) = sqrt(7.885(7.885-2.12)(7.885-6)(7.885-7.65)) = 9.63
The area of triangle DEF is approximately 9.63 square units.
a mother is 33 years older than her twin children. in 3 years, her age will be twice the amount of both her childrens combined. how old are the twins now?
Answers
Answer:
8 years old--------------
Let the age of the mother be x and twins be y.
Set up two equations as per information given:
1) x - y = 33, (age relation now)2) x + 3 = 2(y + 3 + y + 3) (relation in 3 years time)Simplify the second equation and substitute x = y + 33:
x + 3 = 2(2y + 6)x + 3 = 4y + 12y + 33 + 3 = 4y + 12y + 36 = 4y + 124y - y = 36 - 123y = 24y = 8The twins are 8 now.
Jenny has six blouses, four different skirts, 20 different pairs of socks, and four pairs of shoes in her closet at the end of the week
Part 1: Explain why the methods used in the previous two problems would be inecient in determining the number of different outts Jenny could wear
Part 2: Using the Fundamental Principle of Counting, determine how many outts Jenny could wear. Don’t forget to show your work.
Answers
Part 1: methods did not consider the number of repetitions or combinations of the same item that could be used in different outfits. Part 2: Jenny can wear 1,920 different outfits by choosing one blouse, one skirt, one pair of socks, and one pair of shoes at a time from her closet.
How to answer the aforementioned questionsPart 1:
Because they only considered a limited number of clothing items and did not take into account the fact that different combinations of these items could create a larger number of outfits, the methods used in the previous two problems would be inefficient in determining the number of different outfits Jenny could wear.
Part 2:
Using the Fundamental Principle of Counting, the number of different outfits Jenny could wear can be determined by multiplying the number of choices for each clothing item together. Therefore, the total number of different outfits can be calculated as:
6 blouses x 4 skirts x 20 pairs of socks x 4 pairs of shoes = 1,920 different outfits
Therefore, Jenny can wear 1,920 different outfits by choosing one blouse, one skirt, one pair of socks, and one pair of shoes at a time from her closet.
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Assume regular unleaded fuel costs $3.81 per gallon. A Volkswagen Jetta uses unleaded fuel. It gets about 30 miles per gallon.
Imagine that a driver of the Jetta drives 15,000 miles each year. How much money will the driver of the Jetta spend on gas in one year?
Answers
The amount that Jetta spends on gas in one year is $1,905.
Assume regular unleaded fuel costs $3.81 per gallon. A Volkswagen Jetta uses unleaded fuel. It gets about 30 miles per gallon.
The rate is the ratio of the amount of something to the unit.
Imagine that a driver of the Jetta drives 15,000 miles each year.
The amount that Jetta spends on gas in one year is calculated as,
⇒ 15,000 x $3.81 / 30
⇒ $1,905
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Classify the triangle with angles measuring 21°, 69°, and 90°
Answers
Answer:
This triangle is a right scalene triangle.
Step-by-step explanation:
Because this triangle has a 90° angle, it is a right triangle. As all the angles are different, we can see that it is a scalene triangle as well.
Find the areas of the sectors formed by \angle ACB .
A circle is shown. The measure of central angle A C B is 131 degrees. The radius is 3 centimeters. Point D is on the circle but not on arc A B.
Give the exact answers in terms of \pi . Do not approximate the answers.
Area of small sector =
cm2
Area of large sector =
cm2
Answers
To find the area of the large sector, we need to subtract the area of triangle ADB from the area of the circle sector ACB. We can use the Law of Cosines to find the length of segment AD:
AD^2 = AB^2 + BD^2 - 2 * AB * BD * cos(ACB)
AD^2 = 3^2 + 2^2 - 2 * 3 * 2 * cos(131)
AD^2 = 13 - 12cos(131)
AD = sqrt(13 - 12cos(131))
The area of triangle ADB is (1/2) * AB * AD * sin(DAB) = (1/2) * 3 * sqrt(13 - 12cos(131)) * sin(49) = 1.786 cm^2 (rounded to 3 decimal places).
The area of the large sector is pi * 3^2 - 1.786 = 23.556 cm^2 (rounded to 3 decimal places).
Therefore, the area of the small sector is 3.422 cm^2 and the area of the large sector is 23.556 cm^2.
Which statement about the following equations is correct?
y = 2x + 5
y
O The equations are independent because the lines intersect in one point.
The equations are dependent because the lines are the same line.
O The equations are independent because the equations represent parallel lines.
O The equations are dependent because the lines do not intersect.
= -2x+5
Answers
Answer:
Step-by-step explanation:
The correct statement about the given equations is: "The equations are dependent because the lines are the same line."
In the equation y = 2x + 5, the slope is 2, which means the line has a positive slope and is upward sloping.
The y-intercept is 5, indicating that the line intersects the y-axis at the point (0, 5).
The equation y = -2x + 5 is equivalent to y = 2(-x) + 5, which has the same form as the first equation but with a negative slope.
However, the equations are still dependent because when you simplify the second equation, you obtain the first equation.
These two equations represent the same line with a different slope. Therefore, they are dependent, and any point that satisfies one equation will satisfy the other equation as well.
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In a class of 30 students, 12 have a cat and 19 have a dog. There are 6 students who
do not have a cat or a dog. What is the probability that a student chosen randomly
from the class has a dog?
Answers
Answer:
P(dog) = 12/30 = 0.4 or 40%
Step-by-step explanation:
We can use the formula for probability:
P(dog) = number of students with a dog / total number of students
To find the number of students with a dog, we can use the fact that 19 students have a dog and 6 students have neither a cat nor a dog:
number of students with a dog = total number of students - number of students with no pets - number of students with only a cat
number of students with a dog = 30 - 6 - 12 = 12
So the probability that a student chosen randomly from the class has a dog is:
P(dog) = 12/30 = 0.4 or 40%
Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° clockwise.
U′(1, −1), V′(0, 4), W′(4, 1)
U′(−1, −1), V′(−4, 0), W′(1, 4)
U′(1, 1), V′(−4, 0), W′(−1, 4)
U′(−1, 1), V′(0, −4), W′(−4, −1)
Answers
The coordinates of the vertices for the image of the triangle U′V′W′ is
U′(1, 1), V′(−4, 0), W′(−1, 4)
How to find the coordinates after transformationTo rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)
So applying this transformation to each vertex of triangle UVW we get
U(−1, 1) → U' = (1, 1)
V(0, −4) → V' = ( -4, 0)
W(−4, −1) → W' = (-1, 4)
Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)
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Dr. Salaam orders 39 grams of marijuana for a patient. Each bud is about 0.07 grams of marijuana.
How many buds will each patient need and If the dispensary charges $530 an ounce for the strain the patient likes, how much will the patient have to pay in total? (28.4 grams = 1 ounce)
Answers
The patient will have to pay approximately $727.74 in total.
How to solve for the dispensary chargesTotal grams of marijuana: 39 grams
Weight of each bud: 0.07 grams
Number of buds = Total grams of marijuana / Weight of each bud
Number of buds = 39 / 0.07 ≈ 557.14
Since the patient can't purchase a fraction of a bud, they will need 558 buds (rounding up).
Now, let's calculate the total cost.
Dispensary cost: $530 per ounce (28.4 grams)
First, we need to find the cost per gram:
Cost per gram = $530 / 28.4 ≈ $18.66
Total grams of marijuana: 39 grams
Total cost = Cost per gram * Total grams of marijuana
Total cost = $18.66 * 39 ≈ $727.74
The patient will have to pay approximately $727.74 in total.
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