\(h(s) = 1 + \sqrt{s \ } \div 1 - \sqrt{s} \)
differentiate using quotient rule
Answers
Answer:
\(h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }\)
Step-by-step explanation:
Explanation
Given that
\(h(s) = \frac{1+\sqrt{s} }{1-\sqrt{s} }\)
Differentiating equation (i) with respective to 'x' ,we get
\(h^{l} (s) =\frac{1-\sqrt{s}) \frac{1}{2\sqrt{s} } -(1+\sqrt{s})(\frac{-1}{2\sqrt{s} )} }{(1-\sqrt{s})^{2} }\)
\(h^{l} (s) = \frac{\frac{1}{2\sqrt{s} } -\frac{1}{2\sqrt{s} }X\sqrt{s} + \frac{1}{2\sqrt{s} } +\frac{1}{2\sqrt{s} }X\sqrt{s} }{(1-\sqrt{s})^{2} }\)
\(h^{l} (s) = \frac{\frac{2}{2\sqrt{s} } }{(1-\sqrt{s})^{2} }\)
\(h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }\)
Related Questions
2x-3y=-1
y=x-1
solve. systems of equations
Answers
Answer:
x=4
y=3
Step-by-step explanation:
Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?
Answers
Answer:88%
Step-by-step explanation:
Answer:
i believe its 88%
Step-by-step explanation:
Help me pleaseeeeeeeeeeee
Answers
#2. 12 < 24
#3. -12 > -24
#4. 7.2 > 7
#5. -1.5 > -3/2
#6. -4/5 > -5/4
Hope this helps :)
Kyle has 18 purple balls and 2 black balls in a bag. Kyle takes one ball at random from the bag, puts it back, and takes another ball from the bag. A tree diagram is drawn to represent this information. 18 20 18 20 purple 2 20 not purple 2 20 Submit Answer 18 20 2 20 purple not purple purple not purple Find the probability that Kyle takes at least one purple ball.
Answers
The probability that Kyle takes at least one purple ball is 0.9
What is probability?Probability is used to measure the likelihood of an event given a set of circumstances.
The probability that Kyle takes at least one purple ball is calculated by the formula P(A) = 1 – P(A’).
In this scenario, A is the event of taking at least one purple ball and A’ is the event of not taking any purple balls.
The probability of taking at least one purple ball (A) is calculated by subtracting the probability of not taking any purple balls (A’) from 1.
There are 20 balls in the bag, 18 of which are purple. This means the probability of not taking any purple balls (A’) is 2/20 = 0.1.
Therefore, the probability of taking at least one purple ball (A) is
1 – 0.1 = 0.9.
In conclusion, the probability that Kyle takes at least one purple ball is 0.9.
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What's the circumference of a
circle with a radius of 5 inches?
Use 3.14 for n.
C = [?] inches
Answers
Answer:
C = 31.4 inches
Step-by-step explanation:
To find the circumference of a circle, the formula is d(pi), or 2r(pi)
We are given the radius, so let's just plug in the number:
2(5)(pi)
So our circumference would be 10pi
We have to get an approximation here, so we would do 10(3.14)
That would be 31.4 inches
I hope this helps, let me know if you have any questions.
Plz help what the answer
Answers
Change 5 into a rational number a/b
Answers
Answer:
\(\frac{5}{1}\)
Step-by-step explanation:
Use the Distributive Property to write
an expression that is equivalent to
2.57 – 10+3 3/4x – 6.2)
Show work. plss
Answers
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answers
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
(12x+5)°=(17x-5)°
Find x=?
Answers
Step-by-step explanation:
(12x+5)=(17x-5)
5+5=17x-12x10=5xx=10/3x=2stay safe healthy and happy.H(p)=p/5 + 15
What is the independent variable in this function
Answers
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o
Answers
Answer:
I think it's B.
Step-by-step explanation:
Divide using polynomial division.
x + 1 + 1/ x − 1.
Maybe not 100% sure.
For each table,determine whether it shows that x and y are proportional.If x and y are proportional,fill in the black with a number in simplest form.
Answers
To find if a set of (x,y) data is proportional find the difference between each y data. If the difference is the same it is proportional.
Table 1:
\(\begin{gathered} 30-25=5 \\ 35-30=5 \end{gathered}\)It is proportional
y is 5 times x
Table 2:
\(\begin{gathered} 21-5=16 \\ 45-21=24 \end{gathered}\)It is not proportional
Warning
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Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
Answers
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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You need to arrange of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
Question content area bottom
Part 1
enter your response here ways
(Type a whole number.)
Answers
Answer:
The answer is 8! ("eight factorial") = 8*7*6*5*4*3*2*1 = 40320, which is the number of permutations of 8 objects.
(8 ways to put the first book in the first place, then 7 ways to put the second book in the second place, then 6 ways to put the third book in the third place, and so on).
Write the equation of the line in slope-intercept form. Explain how you found the slope and the y-intercept.
Answers
The equation of the line in slope intercept form is y = - 1 / 2x + 4
How to write equation in slope intercept form?The equation in slope intercept form is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
using the points (2, 3)(0, 4)
m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2
Hence,
b = 4
Therefore, the slope intercept equation of the line is as follows:
y = - 1 / 2x + 4
The y-intercept is value of y when x = 0
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Question
A cylinder has a height of 12 inches. A similar cylinder has a height of 15 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
Enter your answer by filling in the boxes.
Answers
The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 25:8.
How to find the ratio ?The surface area of a cylinder is given by the formula:
SA = 2πr^2 + 2πrh
Assume the radius of the smaller cylinder is r, and the radius of the larger cylinder is R. Since the two cylinders are similar, we know that the ratios of corresponding lengths are equal:
R/15 = r/12
Solving for r, we get:
r = 12R/15 = 4R/5
Now we can calculate the surface area of each cylinder:
SA small = 2πr^2 + 2πrh = 2π(4R/5)^2 + 2π(4R/5)(12) = 96πR^2/25
SA large = 2πR^2 + 2πRh = 2πR^2 + 2πR(15) = 30πR^2
The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is:
SA large/SA small = (30πR^2)/(96πR^2/25) = 25/8
Therefore, the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 25:8.
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Answer:
NO ITS 25:16!!!!
Step-by-step explanation:
Write an algebraic expression to represent the given phrase. Use x as the variable to
represent the unknown quantity.
8. The sum of a number and 20
9. The product of a number and 20
10. The quotient of 20 and a number
11. The difference of a number and 20
Choices for 8-11:
A) 20-x
D) x + 20
B) 20x
20
X
E)
C) X-20
X
20
AB)
Answers
Answer:
8) x + 20
9) 20x
10) 20/x
11) x-20
Step-by-step explanation:
8) x + 20
9) 20x
10) 20/x
11) x-20
Yall im doing the diagnostic... help
solve. -11 2/3 x (-4 1/5)
Answers
hope this helped.
Here are the heights (in inches) of 12 students in a seminar. 71, 67, 62, 60, 70, 64, 68, 72, 58, 63, 60, 66 What is the percentage of these students who are shorter than 65 inches? 1% X 5
Answers
25% of the students in the seminar are shorter than 65 inches.
To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:
There are three students who are shorter than 65 inches: 62, 60, and 58.
Therefore, the percentage of students who are shorter than 65 inches is:
(3 students / 12 students) × 100% = 25%
Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.
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A surfer recorded the following values for how far the tide rose, in feet, up the beach over a 15-day period. 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 21, 22, 23, 24 Which of the following histograms best represents the data collected?
Answers
In this case, we can choose a bin size of 3, starting from 5 to 24, and divide the data into the following bins: 5-7, 8-10, 11-13, 14-16, 17-19, 20-22, and 23-25. Next, we count the number of data points that fall into each bin and represent it using bars.
Looking at the given histogram options, it is clear that only histogram B represents the data accurately. It has bins that cover 5-7, 8-10, 11-13, 14-16, 17-19, 20-22, and 23-25. The height of each bar accurately represents the number of data points in that bin.
Therefore, we can conclude that histogram B best represents the data collected.
Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8
Answers
Answer:
11
Step-by-step explanation:
LK = 1/2RP
theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
LK = 2x - 15 ; RP = 2x - 8
2x - 15 = 1/2(2x - 8)
2x - 15 = 2x - 8/2
2x - 15 = x - 4
Collect like terms and simplify
x = 11
1/2 ÷ 3/4 (Multiplication Expression) using keep change flip then Solution (simplify if possible) thank yall so much
Answers
Answer:
1/24 is your answer!!
Step-by-step explanation:
Hope this helps!!
Please mark me as branliest if you want lol!!
Answer:
.375
Step-by-step explanation:
I need help I need help
Answers
Explanation:
a = 72°, alternate interior angle to the one marked 72°, so congruent
b = d = j = 180° -2(72°) = 36°; twice angle 'a' is supplementary to b; all the acute angles where parallel lines are crossed are the same measure
c = e = h = 2(72°) = 144°; the obtuse angles where parallel lines are all the same measure
f = (180° -e)/2 = 18°, base angle of isosceles triangle
g = 180° -f = 162° . . . supplementary to the base angle
k = 54°, complementary to b
m = 126°, supplementary to the base angle of the triangle containing 'a'.
_____
Additional comment
The base angles of an isosceles triangle with third angle A are ...
B = C = (180° -A)/2
Angles that together make a straight line have a total of 180°.
Reduce the fraction below to their lowest term 70/3 =
Answers
Step-by-step explanation:
70 ÷ 3 = 23 1/3
HELP WITH MY MATH PLEASEEE
Answers
Answer:
x = 18
Step-by-step explanation:
JM = LM
8x - 3 = 141
8x = 141 + 3
8x = 144
x = 144/8
x = 18
Answer:
since its a square each side is equal so
8x-3=141
8x=144
x=18
so
A: x=18
Hope This Helps!!!
geometry! please help gracias!
Answers
The equation of the conic represents a circle with an area of 36π square units.
What kind of conic does a quadratic equation represent?
In this problem we find the equation of the conic in general form, on which we need to determine what kind of conic it represents. This can be done by finding the standard form of the equation by means of algebra properties, using a strategy known as completing the square. The quadratic equation in general form is described by the quadratic equations of the form:
A · x² + B · y² + C · x + D · y + E · x · y + F = 0
Now we proceed to find the standard form of the equation. First, write the equation in standard form:
x² + y² - 3 · x + 6 · y = 7 · x + 2
x² + y² - 10 · x + 6 · y - 2 = 0
Second, complete the square:
(x² - 10 · x + 25) + (y² + 6 · y + 9) = 2 + 25 + 9
(x - 5)² + (y + 3)² = 36
The standard form of the quadratic equation indicates the equation of a circle with a diameter of 12 units and a center at (h, k) = (5, - 3). The area of the circle is calculated below:
A = 0.25π · D²
Where D is the diameter of the circle, in units.
A = 0.25π · 12²
A = 36π
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ayo who is wiining the election now?
Answers
Answer:
Joe Biden
Step-by-step explanation:
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answers
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
PLEASE HELP ON QUESTION ASAP! 30PTS!
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Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Answers
40.3=120g flour➡️15 biscuits
60 biscuits = 16.4➡️120.4 = 480g flour
She needs 480g flour to make 60 biscuits