Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.
\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs
P(t) = 25.5( 1-16.2%)ˣ
= 25.5((100 - 16.2)/100)ˣ
= 25.5(83.8/100)ˣ
P(t) = 25.5(0.838)ˣ
Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
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Complete question:
9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.
Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?
What is the greatest common factor of 20 and 55?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
If B = -q – 1 and C = q – 8, find an expression that equals 3B + 3C in
standard form.
Answer:
-27
Step-by-step explanation:
just did it
is -1/4 less than negative 3/4 use the number line to explain your answer PLEEAAAASSSEEE HELP MEEEEEE
Answer:
yes because you got to tink about measuring stuff if you measure 1/4 it would be less than if you measure 3/4 because its closer to 4/4 whcich equals 1 so yes it is less than 3/4
Step-by-step explanation: Brainliest Please
Determine the surface area of a rectangular prism with the following dimensions:
Length = 4 cm, Width = 2 cm, Height = 3
A.52 sq. cm
D.20 sq.cm
d. 290 sq. cm
B.104 sq.cm
Answer:
A. 52 sq. cmStep-by-step explanation:
surface area of a rectangular prism = 2(LW + WH + LH)
where
L = 4cm
W = 2cm
H = 3cm
plugin values into the formula:
As = 2(4*2 + 2*3 + 4*3)
As = 52 sq. cm
Answer:
A.52 sq. cm
Step-by-step explanation:
Given: l = 4 cm, w = 2 cm, h = 3 cm
Surface area of a rectangular prism
=2(l*w + w*h+h*l)
= 2(4*2 + 2*3 + 3*4)
= 2(8 + 6 + 12)
= 2*26
= 52 sq. cm
Kelly opened a simple interest account with deposit of $2200. At the end of 4 years, the balance of the account was $2200. What is the annual interest rate on the account.
The simple interest formula is:
I = P R T, where I is the interest earned, P is the principal, R is the insterst per year and T is the time in years
If the initial deposit is $2,200 and after 4 years the balance is still $2,200, then the interest rate is zero
say we have x ~ uniform(0, 1) and y ~ uniform(0, 1). what is the expected value of the minimum of x and y?
The expected value of the minimum of two independent uniformly distributed random variables x and y between 0 and 1 is 1/4. It is found by integrating over the two possible triangles and averaging the results.
Let M be the minimum of x and y. We can find the expected value of M by integrating over all possible values of x and y:
E(M) = ∫∫ min(x,y) f(x,y) dxdy
where f(x,y) is the joint probability density function of x and y.
Since x and y are independent and uniformly distributed between 0 and 1, their joint probability density function is:
f(x,y) = 1, for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1
and zero otherwise.
Therefore, we have:
E(M) = ∫∫ min(x,y) f(x,y) dxdy
= ∫∫ min(x,y) dxdy, for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1
To evaluate this integral, we can split the region of integration into two parts: the triangle where x ≤ y and the triangle where x ≥ y. In each part, we can express the minimum of x and y as a function of one of the variables:
For x ≤ y:
E(M) = ∫∫ min(x,y) dxdy = ∫0^1 ∫x^1 x dy dx
= ∫0^1 (x - x^2/2) dx = 1/3
For x ≥ y:
E(M) = ∫∫ min(x,y) dxdy = ∫0^1 ∫0^y y dx dy
= ∫0^1 y^2/2 dy = 1/6
Therefore, the expected value of the minimum of x and y is:
E(M) = 1/3 * (area of triangle where x ≤ y) + 1/6 * (area of triangle where x ≥ y)
= 1/3 * 1/2 + 1/6 * 1/2
= 1/4
Hence, the expected value of the minimum of x and y is 1/4.
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100 points help is needed
Answer:
Plane LTXPlane XTVPlane LTVStep-by-step explanation:
Just Plot the points the which are present in plane.Don't copy the points pairLyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the perimeter of the towel? (1 point)
Answer:
8 meters
Step-by-step explanation:
To find the perimeter follow these steps:
1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters
2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters
3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters
Have a fantastical day!
10(−7y−2z)+4z−2(−8z+6y) simplfy
Which set of side lengths will NOT form a triangle?
10 in., 13 in., 18 in.
6 in., 10 in., 10 in.
4.5 in., 6.5 in., 11 in.
8.5 in., 12.5 in., 16.5 in
Answer:
d
Step-by-step explanation:
i just feel it
a simply supported beam carries a uniform load
w=104kN/m at its middle third if L = 10 m determine the absolute
value of the maximum moment in kN-m
When a simply supported beam carries a uniform load of 104 kN/m over a length of 10 m, the absolute value of the maximum moment is 1300 kN-m.
The maximum moment in a simply supported beam carrying a uniform load can be determined using the formula:
Mmax = \((w * L^2) / 8\)
where Mmax is the maximum moment, w is the uniform load, and L is the length of the beam.
In this case, the uniform load is given as w = 104 kN/m, and the length of the beam is L = 10 m.
Plugging these values into the formula, we have:
Mmax = \((104 * 10^2) / 8\)
Simplifying the equation:
Mmax = (104 * 100) / 8
Mmax = 1300 kN-m
Therefore, the absolute value of the maximum moment in this beam is 1300 kN-m.
To summarize, when a simply supported beam carries a uniform load of 104 kN/m over a length of 10 m, the absolute value of the maximum moment is 1300 kN-m.
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Find the slope of the line that goes through the points (3,5) and (-1, 4).
find an antiderivative of 7x4 2x6x7 in the variable x where x≠0.
An antiderivative of the function \(7x^4 * 2x^6 * x^7\) is \((7/9) * x^{18} + C.\)
To find an antiderivative of the function \(f(x) = 7x^4 * 2x^6 * x^7,\) we can use the power rule for integration.
The power rule states that the antiderivative of \(x^n\) with respect to x is \((1/(n+1)) * x^{n+1} + C,\) where C is the constant of integration.
Applying the power rule to each term in the function, we have:
\(\int\(7x^4 * 2x^6 * x^7) dx = 7 * 2 * \int\(x^4 * x^6 * x^7) dx\\= 14 \int\(x^{4+6+7} dx\\= 14 \int\(x^{17} dx\\= 14 * (1/18) * x^{18} + C\\= (7/9) * x^{18} + C,\)
where C is the constant of integration.
Therefore, an antiderivative of the function \(7x^4 * 2x^6 * x^7\) is \((7/9) * x^{18} + C.\)
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I need help on this question ASAP please
A) (3,-5)
Go over to the right 3 and down 5
B) (-4,-1)
Go over to the left 4 and down 1
Answer:
A - (3, -5)
B - (-4, -1)
Step-by-step explanation:
A - (3, -5)
B - (-4, -1)
Factor the following quadratic:
y=3x^2-13x-10
Answer:
(3x+2)(x−5)
Step-by-step explanation:
Factor 3x2−13x−10
3x2−13x−10
=(3x+2)(x−5)
Whats the slope using Rise/Run?
Thanks
Answer: 1/4
Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4
Hope this helps!
a knife set is on sale for $36, the set was on sale for 25% OFF. what was the original total price of the knife set?
Using only numbers in the following list,
29
17
38
71
35
63
24
write down
a)
two numbers that add up to 100
b)
two numbers which differ by 46
c)
a multiple of 9
Answer:
100=29+71
46= 63-17
63
12. A five-question multiple-choice quiz has five choices for each answer. What is the
probability of correctly guessing at random exactly one correct answer? Exactly two
correct answers? Exactly three correct answers? (Hint: You could let any two digits
represent correct answers, and the other digits represent wrong answers.)
Answer:
20%
Step-by-step explanation:
Solve 77 = -7x using one step equations
Answer:
x=-11
Step-by-step explanation:
Divide both sides by -7, and you get -11
Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,2) f(x)= Question Help: −b Video
The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.
To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:
0 = -b * log(base a)(3 - h) + k
Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:
2 = -b * log(base a)(0 - h) + k
Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.
In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.
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Which of the following is NOT an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 15, 9, 3, -3, -9
C. 2, 4, 8, 16, 32
D. 1, 2, 3, 4, 5
Answer:
C. 2, 4, 8, 16, 32
Step-by-step explanation:
C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.
the number which best completes the sequence below is: 2 9 5 13 10 19 17
The number which best completes the sequence is 31.
To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:
1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31
However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.
The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.
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find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
Ian is bisecting line segment cd. First, ian places the compass on point d and opens it to a width larger than half of the segment. What is the next step?.
The next step to bisect the line segment CD is to make an arc above the line as well as an arc below the line.
How to cut a line segment in half is as follows:
• Place the compass at point D.
• Set the compass to be just a little bit longer than half the length of the line segment.
• Draw arcs above and below the line.
• Do the same thing by keeping the compass at C point while maintaining the same compass width.
• Draw the line segment that passes through the points where both arcs crosses each other.
Hence, after keeping compass on point D, the next step will be to draw an arc above and below the line segment.
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many years ago it used to cost more to call people long distance. Let’s say the first 5 minutes cost 4 dollars, but the. every minute after that cost $0.50 per minute. how much would it have cost for a 20 minute phone call?
Answer:
Step-by-step explanation
it would be 80$ for a 20 minute phone call.
Answer:
Step-by-step explanation:
5=4
6=4.50
7=5
8=5.50
9=6
10=6.50
11=7
12=7.50
13=8
14=8.50
15=9
16=9.50
17=10
18=10.50
19=11
20=11.50
Basinwide hydraulic analyses are important for detention/retention pond design because Group of answer choices
a) Hydrograph delay is an unimportant consideration for downstream flooding impacts
b) Pond outflows from multiple subareas are likely to decrease downstream flooding when hydrographs are combined
Basinwide hydraulic analyses are important for detention/retention pond design because pond outflows from multiple subareas are likely to decrease downstream flooding when hydrographs are combined. Therefore, we can say that option (b) is correct.
Basinwide hydraulic analyses are crucial for stormwater management practices, specifically for detention/retention pond design. The reason behind this is that detention/retention ponds outflow from multiple subareas and the hydrographs from these areas are combined before it enters downstream. By having detention/retention ponds, the water runoff is held back, which minimizes the downstream flood.
Additionally, it also lowers the peak flows of the stormwater runoff.
In contrast to the primary belief that hydrograph delay is an unimportant consideration for downstream flooding impacts, it is the opposite. It is very important, and pond hydrographs' efficiency is significant to detain the stormwater runoff. The primary reason is that it takes time for the hydrograph to develop fully and peak out, reducing the flow downstream.
The conclusion is that basinwide hydraulic analyses are important for detention/retention pond design because pond outflows from multiple subareas are likely to decrease downstream flooding when hydrographs are combined.
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There are 9 chocolate bars in a bag of Halloween candy. The bag is dropped and 5 of the chocolate bars break. You take one random chocolate bar out, eat it and take another out. What is the probability that neither of these were broken?
Answer:
Below
Step-by-step explanation:
4 out of 9 are not broken first bar not broken chance is then 4/9
now there are 8 bars left and 3 are not broken so for the second bar thee is a 3/8 chance of not being broken
4/9 * 3/8 = 12/72 = 1/6
Answer:
it's below because
Step-by-step explanation:
1/6 !!!!!!!!!!!!!!
How do you define Finite Math?
Finite math is the part of mathematics where we have models and analysis techniques that can be applied in real life.
Some examples of topics that are included in Finite Math are probability, matrix algebra, linear programming and finance.
I need help ASAP I will give brainlist!
Answer:
First answer choice
Step-by-step explanation:
Bob has less than 5 cats.
Therefore he does not have more cats.
With this information you a, b, c, and f.
And since he also can't have an equal amount of cats, that gives you a, and f.
But it can't be less than or equal to stated earlier.
Therefore you get answer choice a!