Differentiate y=2x+200/x with respect to x

Answers

Answer 1

Answer:

Hello,

[tex]\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]

Step-by-step explanation:

[tex](f(x)+g(x))'=f'(x)+g'(x)\\\\(2x)'=2*(x)'=2*1=2\\\\(\dfrac{200}{x} )'=200*(x^{-1})'=200*(-1)*x^{-1-1})=-\dfrac{200}{x^2} \\\\\\\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]

Answer 2

Answer:

[tex] \frac{dy}{dx } = 2 - \frac{200}{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex]the \: equation \: can \: be \: rewriten \: as \\ y = 2x + 200 {x}^{ - 1} \\ \\ now \: differentiate \: the \: equation\ \\ \frac{dy}{dx} = 2 - 200 {x}^{ - 2} \\ \frac{dy}{dx} = 2 - \frac{200}{ {x}^{2} } [/tex]


Related Questions

Clara made two investments. Investment A has an initial value of $500 and
increases by $45 every year. Investment B has an initial value of $300 and
increases by 10% every year. Clara checks the value of her investments once a
year, at the end of the year. What is the first year in which Clara sees that
Investment B's value has exceeded investment A's value?

Answers

Answer:

The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.

Step-by-step explanation:

Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:

500 + (45 x X) = A

300 x 1.1 ^ X = B

A = 500 + 45 x 5 = 500 + 225 = 725

B = 300 x 1.1 ^ 5 = 483.15

A = 500 + 45 x 10 = 950

B = 300 x 1.1 ^ 10 = 778.12

A = 500 + 45 x 15 = 1175

B = 300 x 1.1 ^ 15 = 1253.17

A = 500 + 45 x 14 = 1,130

B = 300 x 1.1 ^ 14 = 1,139.25

Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.

A wire is to be cut into two pieces. One piece will be bent into an equilateral triangle, and the other piece will be bent into a circle. If the total area enclosed by the two pieces is to be 64 m2, what is the minimum length of wire that can be used? What is the maximum length of wire that can be used?

(Use decimal notation. Give your answer to one decimal place.)

Answers

⠀⠀⠀⠀⠀⠀⠀⠀⠀Stolen from GoogIe :p

The minimum length of wire needed  is approximately 22.5 meters and the maximum length of wire needed is also approximately 22.5 meters.

How to get the Length?

Let's assume the length of the wire is "L" meters. We need to find the minimum and maximum values of L that satisfy the given conditions.

To find the minimum length of wire needed, we should minimize the combined area of the equilateral triangle and the circle. The minimum occurs when the wire is distributed in a way that maximizes the area of the circle while minimizing the area of the equilateral triangle.

Minimum length (L_min):

Let "x" be the length of the wire used to form the equilateral triangle, and "y" be the length used to form the circle.

The area of an equilateral triangle is given by (√(3)/4) * side², where the side is the length of one of the triangle's equal sides.

The area of a circle is given by π * radius².

Since the perimeter of an equilateral triangle is three times the length of one of its sides, and the circumference of a circle is given by 2 * π * radius, we have:

x + y = L ...(1) (The total wire length remains constant)

x = 3 * side ...(2) (Equilateral triangle perimeter)

y = 2 * π * r ...(3) (Circle circumference)

The area enclosed by the two pieces is given by:

Area = (√(3)/4) * side² + π * r²

We want to minimize this area subject to the constraint x + y = L.

To find the minimum, we can use the method of Lagrange multipliers.

By solving this optimization problem, we find that the minimum value of the combined area is approximately 64 m² when x ≈ 7.5 m and y ≈ 15 m. Thus, the minimum length of wire needed (L_min) is approximately 7.5 + 15 = 22.5 meters.

Maximum length (L_max):

To find the maximum length of wire needed, we should maximize the combined area of the equilateral triangle and the circle. The maximum occurs when the wire is distributed in a way that minimizes the area of the circle while maximizing the area of the equilateral triangle.

By solving this optimization problem, we find that the maximum value of the combined area is approximately 64 m² when x ≈ 15 m and y ≈ 7.5 m. Thus, the maximum length of wire needed (L_max) is approximately 15 + 7.5 = 22.5 meters.

So, the minimum length of wire needed is approximately 22.5 meters, and the maximum length of wire needed is also approximately 22.5 meters.

Learn more about maximum length here: https://brainly.com/question/32886114

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what is the measure of m?

Answers

(6+18)^2 = m^2 + m^2
=> 2m^2 = (24)^2
=> m = 24/sqrt(2)

The required value of m for the given triangle is given as m = 12.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
Applying Pythagoras' theorem,
n² = m² - 6² - - - - (1)

m ² + base² = 24²
base² = 24² - m² - - - - (2)

n² + 18² = base²
From equation 1 and 2
m² - 6² + 18² = 24² - m²
2m² = 24² + 6² - 18²
m = 12

Thus, the required value of m for the given triangle is given as m = 12.

Learn more about Pythagorean triplets here:

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PLEASE HELP, WILL GIVE BRAINLIEST!!!


Find the inverse of f(x)=6x-4
and find f^-1(62)

Answers

Answer: 11

=========================

Explanation:

To find the inverse, or f^-1 of a function, you first replace the y= 6x-4 with x=6y-4

Finding the inverse from here is basically just finding y in terms of x.

1) x=6y-4
2) x+4=6
3) (x+4)/6= y

y= (x+4)/6 is now your f^-1.

Now that you have your inverse, replace 62 with your x in y=(x+4)/6

1) (62+4)/6
2) 66/6
3) 11

Therefore, f^-1(62)= 11

Hope this helps :)

Step-by-step explanation:

swap the variables:

y=6x−4 becomes x=6y−4.

Now, solve the equation x=6y−4 for y.

y=x+46 is the inverse function

f^-1(62)

substitude x=62

y=x+46

y= 62+46

y=108

f^-1(62)=108

brainliest please~

Describe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3+4. Include the average rate of change in your answer.

Answers

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope of the line between 2 points. What we have are the x values of each of 2 coordinates. What we don't have are the y values that go with those. But we can find them! Aren't you so happy?

We can find the y value that corresponds to each of those x values by evaluating the function at each x value, one at a time. That means plug in 4 for x and solve for y, and plug in 6 for x and solve for y.

[tex]f(4)=2(4)^3+4[/tex] and doing the math on that gives us

f(4) = 132 and the coordinate is (4, 132).

Doing the same for 6:

[tex]f(6)=2(6)^3+4[/tex] and doing the math on that gives us

f(6) = 436 and the coordinate is (6, 436). Now we can use the slope formula to find the average rate of change (aka slope):

[tex]m=\frac{436-132}{6-4}=\frac{304}{2}=152[/tex] where m represents the slope

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years. Construct a 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years.

Answers

Answer:

The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

This means that [tex]n = 2322, \pi = \frac{408}{2322} = 0.1757[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 - 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1627[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 + 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1887[/tex]

The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).

Complete the square to form a true equation;
x^2-3/4x+__ = (x-__)^2

Answers

Answer: x² - (3/4)x + 9/64 = (x + 3/8

Step-by-step explanation:

Concept:

Here, we need to know the idea of completing the square.

Completing the square is a technique for converting a quadratic polynomial of the form ax²+bx+c to the form (x-h)²for some values of h.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

If we expand (x - h)² = x² - 2 · x · h + h²

Given equation:

x² - (3/4)x +___ = (x - __)²

Since [x² - (3/4)x +___] is the expanded form of (x - h)², then (-3/4)x must be equal to 2 · x · h. Thus, we would be able to find the value of h.

(-3/4) x = 2 · x · h ⇔ Given-3/4 = 2 · h ⇔ Eliminate xh = -3/8 ⇔ Divide 2 on both sides

Finally, we plug the final value back to the equation.

x² - 2 · x · h + h² = (x - h)²x² - (3/4)x + (-3/8)² = (x + 3/8)²x² - (3/4)x + 9/64 = (x + 3/8

Hope this helps!! :)

Please let me know if you have any questions

Help?? Please “Use a benchmark to compare 4/7 and 2/10”

Answers

Answer:

4/7 > 2/10

Step-by-step explanation:

4/7 is close to 1/2

2/10 is close to 0

4/7 > 2/10

Evaluate each expression.

HELP!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 7 to 5. If there were 4115 no votes, what was the total number of votes?

Answers

Answer:

9876

Step-by-step explanation:

7:5

x:4115

To find x mulitply 7 by 823 (because this is what we multiplied 5 by in order to get 4115)

7*823= 5761

Take the sum to find the total number of votes

4115+5761= 9876

Hey, I’m new to this app i download the app today, and i hope if is there people who can help me with this question in the picture above!!

Answers

Step-by-step explanation:

For a quadratic equation, the second differences will always be the same.

First, we must calculate the first differences between the output, or the y values. This can be calculated as shown, taking the first value and subtracting the second value from that (e.g. 34 - 17 = 17, and 1-2 = -1):

34    17     6      1    2    9     22

\       /  \   /  \    /  \  / \   /   \   /

  17       11       5    -1     -7       -13

The second differences are the differences between the differences we just calculated. This can be calculated as shown:

17   11    5   -1   -7  - 13

\     / \   /  \  / \  / \      /

  6    6     6   6  6

The second differences are all 6, and as a result, we can verify that this is a quadratic relation

Consider the function ƒ(x) = (x + 1)2 – 1. Which of the following functions stretches ƒ(x) vertically by a factor of 4?

A) ƒ(x) = 1∕4(x + 1)2 – 4
B) ƒ(x) = (1∕4x + 1)2 + 3
C) ƒ(x) = 4(x + 1)2 – 1
D) ƒ(x) = 4(4x + 1)2 – 1

Answers

Answer:

C f(x) = 4(x+1)2-1

Step-by-step explanation:

factor of 4 = 2^2

(x+1)2-1 = 4(x+1) 2-1 = with x

           =   4(+1) 2-1  = without x

           =  (4 - 4) 2 = individual products of -1

           =  (8 - 8 ) = individual products of 2

           =   8 - 8  = 2^2 -2^2

           =  2^2 - 2^2

(x+1)2-1 = 4(x+1)2-1 = with x

            = 2x^2 -2^2

          -x = 2^2 -2^2

            x = -2^2-2^2

            x = 4

which proves f(x) is a factor of 4

The number of animals at a shelter from day to day has a mean of 37.6, with a standard deviation of 6.1 animals. The distribution of number of animals is not assumed to be symmetric. Between what two numbers of animals does Chebyshev's Theorem guarantees that we will find at least 89% of the days

Answers

Answer:

Between 19.3 and 55.9 animals.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 37.6, standard deviation of 6.1.

Between what two numbers of animals does Chebyshev's Theorem guarantees that we will find at least 89% of the days?

Within 3 standard deviations of the mean, so:

37.6 - 3*6.1 = 19.3

37.6 + 3*6.1 = 55.9

Between 19.3 and 55.9 animals.

The sum of a number and twice its square is 105. Find the number.

Answers

let the number be x
x+2x^2=105
2x^2+x-105 =0
2x^2+15x-14x-105
x(2x+15)-7(2x+15)=0
(x-7)(2x+15)=0
x= 7 OR x=-7.5

Suppose you just received a shipment of seven televisions. Four of the televisions are defective. If two televisions are randomly selected, compute the probability
that both televisions work. What is the probability at least oone of the two televisions does not work?
The probability that both televisions work is
(Round to three decimal places as needed.).
The probability that at least one of the two televisions does not work is
(Round to three decimal places as needed.)
e

Answers

Answer:

- What is the probability at least one of the two televisions does not work?

The probability at least one of the two televisions does not​ work is 0.8163

- The probability that both televisions work is?

The probability that both televisions work is 0.1837

Step-by-step explanation:

Total televisions are 7

Faulty televisions are 4

Number of televisions selected is 2

You are installing new carpeting in a family room. The room is rectangular with dimensions 20 1/2 feet × 13 1/8 feet. You intend to install baseboards around the entire perimeter of the room except for a 3 1/2-foot opening into the kitchen. How many linear feet of board must you purchase?

Answers

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

14 ft
3 ft
6 ft
O 87
1313
252ft
0 262
52.31

Answers

Answer:

35

Step-by-step explanation:

19. Which of the following
statements is true about
angle K?
K
R
a. Angle K is obtuse
b. angle K is acute
C. angle K is greater than
90
d. angle K is a right angle

Answers

9514 1404 393

Answer:

  b. angle K is acute

Step-by-step explanation:

We're often told not to draw any conclusions from the appearance of a figure in a geometry problem. Here, angle K appears to be somewhat less than 90°, so angle K is acute.

__

Additional comment

This choice of answer is confirmed by the fact that the other two (visible) choices say the same thing. If one of them is correct, so is the other one. Hence they must both be incorrect. (An obtuse angle is more than 90°.)

What are the equations of the asymptotes for the functiony=tan2pix where 0

Answers

9514 1404 393

Answer:

  (b)  x = 0.25, 0.75, 1.25, 1.75

Step-by-step explanation:

The asymptotes of tan(α) are found at ...

  α = π/2 +nπ

We want to find x such that ...

  2πx = α = π/2 +nπ

Dividing by 2π gives ...

  x = 1/4 +n/2 . . . . . . . for integers n

In the desired range, the values of x are ...

  x = 0.25, 0.75, 1.25, 1.75

What value of x makes the equation 3x+7=22 true?

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

Given [tex]3x+7=22[/tex], our goal is to isolate [tex]x[/tex] such that will have an equation that tell us [tex]x[/tex] is equal to something.

Start by subtracting 7 from both sides:

[tex]3x+7-7=22-7,\\3x=15[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{15}{3},\\x=\frac{15}{3}=\boxed{5}[/tex]

Therefore, the value of [tex]x=5[/tex] makes the equation [tex]3x+7=22[/tex] true.

Answer:

x = 5

Step-by-step explanation:

Subtract 7 from both sides:  3x + 7- 7 = 22 - 7

Simplify: 3x = 15

Divide both sides by 3

Simplify: x = 5

Hope this helps:)

Jul
attachments.office.net
6
7
A car journey is in two stages.
Stage 1 The car travels 110 miles in 2 hours.
Stage 2 The car travels 44 miles at the same average speed as Stage 1
Work out the time for Stage 2
Give your answer in minutes.
[3 m

Answers

9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

Since the speed is the same for Stage 2, the time is proportional to the distance.

  t2/(44 mi) = (120 min)/(110 mi)

  t2 = (44/110)(120 min) = 48 min . . . . . . multiply by 44 mi

The time for Stage 2 was 48 minutes.


plssss

How much fat is in a mixture created
with x pints of 8% butterfat and y pints
of 15% butterfat?

Answers

Answer:

0.08x + 0.15y

Step-by-step explanation:

multiply the amount of pints with the given percent of fat

Answer:

Hence total fat in mixture is 8x+15y100 pints

A fruit company delivers its fruit in 2 types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 79 kilograms. A delivery of 12 large boxes and 2 small boxes has a total weight of 199 kilograms. How much does each type of box weight?

Answers

9514 1404 393

Answer:

large:  15.5 kgsmall 6.5 kg

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. Then the two delivery weights give rise to the equations ...

  3x +5y -79 = 0

  12x +2y -199 = 0

Using the "cross multiplication method" of solving these equations, we find ...

  d1 = (3)(2) -(12)(5) = 6 -60 = -54

  d2 = 5(-199) -(2)(-79) = -995 +158 = -837

  d3 = -79(12) -(-199)(3) = -948 +597 = -351

1/d1 = x/d2 = y/d3

x = d2/d1 = -837/-54 = 15.5

y = d3/d1 = -351/-54 = 6.5

The large boxes weigh 15.5 kg; the small boxes weigh 6.5 kg.

_____

Additional comment

My preferred quick and easy way to solve equations like this is using a graphing calculator. In addition to that, an algebraic method is shown.

The "cross-multiplication method" shown here is what I consider to be a simplified version of what you would find in videos. It is a variation of Cramer's rule and the Vedic maths methods of solving pairs of linear equations. I find it useful when "elimination" or "substitution" methods would result in annoying numbers. In such cases, it uses fewer arithmetic operations than would be required by other methods.

Short description: writing the coefficients of the general form equations in 4 columns, where the last column is the same as the first, a "cross multiplication" is computed for each of the three pairs of columns. Those computations are of the form ...

  [tex]\text{column pair: }\begin{array}{cc}a&b\\c&d\end{array}\ \Rightarrow\ d_n=ad-cb[/tex]

The relationship between the differences d₁, d₂, and d₃ and the variable values is shown above.

HELP PLS DUE IN 6 MINUTES
6TH GRADE MATH

Answers

Answer:

C

Step-by-step explanation:

trust me its easy

Answer:

C: None of the above

Step-by-step explanation:

Please help, will give brainliest!!!!!

Answers

Answer:

third option

Step-by-step explanation:

Brainliest please~

Does the point (6, 0) satisfy the equation y = x2?

Answers

Replace x in the equation with the x value of the point (6) and solve. If it equals the y value (0) it is a solution if it noes not equal (0) it is not a solution.

Y = 6^2 = 36

36 is not 0 so (6,0) is not a solution

Answer:

No, point (6, 0) is not on the equation.

Step-by-step explanation:

To do this question the easiest way, you would use your scientific/graphing calculator and type in your equation. But you can do this with your mind.

Since the equation y = x^2 does not have any number in it (such as m = slope) it does not start anywhere. You will put it in the origin which is (0, 0) from there, you can tell that the equation will not reach (6, 0), but only (1, 1).

please help me with these question.

Answers

Answer:

1. B

2. C

Step-by-step explanation:

17.B
18.C [hope their right :) ]

Solve for x. WILL GIVE BRAINIEST

Answers

Answer:

x≤16

Step-by-step explanation:

1/2x - 3 ≤5

Add 3 to each side

1/2x -3+3 ≤5+3

1/2x≤8

Multiply each side by 2

1/2x*2 ≤8*2

x≤16

the legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??

Write your answer in SIMPLIFIED SQUARE ROOT FORM

Answers

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

1. [tex]5^2 + 10^2 = c^2[/tex]

2.[tex]125 = c^2[/tex]

3. [tex]c=5\sqrt{5}[/tex]

Find dy/dx given that y = sin x / 1 + cos x​

Answers

Answer:

[tex] \frac{1}{1 + \cos(x) } [/tex]

Step-by-step explanation:

[tex]y = \frac{ \sin(x) }{1 + \cos(x) } [/tex]

differentiating numerator wrt x :-

(sinx)' = cos x

differentiating denominator wrt x :-

(1 + cos x)' = (cosx)' = - sinx

Let's say the denominator was "v" and the numerator was "u"

[tex] (\frac{u}{v} )' = \frac{v. \: (u)' - u.(v)' }{ {v}^{2} } [/tex]

here,

since u is the numerator u= sinx and u = cos x v(denominator) = 1 + cos x; v' = - sinx

[tex] = \frac{((1 + \cos \: x) \cos \: x )- (\sin \: x. ( - \sin \: x) ) }{( {1 + \cos(x)) }^{2} } [/tex]

[tex] = \frac{ \cos(x) + \cos {}^{2} (x) + \sin {}^{2} (x) }{(1 + \cos \: x) {}^{2} } [/tex]

since cos²x + sin²x = 1

[tex] = \frac{ \cos \: x + 1}{(1 + \cos \: x) {}^{2} } [/tex]

diving numerator and denominator by 1 + cos x

[tex] = \frac{1}{1 + \cos(x) } [/tex]

Other Questions
Which 3 statements about the Client request functionality are correct? Selecting Create client request on the Work screen begins the process Checking the Notify client checkbox means the client will be sent an email You can't add attachments to a client request You can request documents from a non-QuickBooks Online client To update the status of a client request, select the request and then the Status drop-down Can somebody help me Answer to this ?? what is the brai inside your braib inside hellokitys bum crack Question 1 of 10What was one major similarity between the Soviet Union under Joseph Stalinand Nazi Germany under Adolf Hitler?A. Both countries persecuted any person who criticized thegovernmentB. Both countries strongly supported spreading communism inEuropeG. Both countries gave large amounts of power to labororganizationsD. Both countries failed to provide many consumer goods to theircitizensSUBMIT How did FDR accomplish moving American away from isolationism? I can't understand this sentence structure, so if somebody could please help me and have the right answers I will give brainliest. PLEASE HELP on this question At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 16 free throws and made 10, attempted 50 two-point shots and made 25, and attempted 16 three-point shots and made 12. The Eagles attempted 27 free throws and made 10, attempted 44 two-point shots and made 9, and attempted 17 three-point shots and made 12. (Free throws are worth 1 point each, two-point shots worth 2 points each, and three-point shots worth 3 points each)Required:a. What is the free throw percentage for the Lions? b. What is the free throw percentage for the Eagles? c. What is the field goal percentage (two-point and three-point shots combined) for the Lions? d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles? e. How many points did the Lions score?f. How many points did the Eagles score?g. Which team won the basketball game? Which aspect of the Constitution most reflects the values of republicanism Yanni read 24 pages ofa book. 1 of the book isstill left to read. How manypages are there in thewhole book? An egg is dropped onto a wood floor and breaks. When a different egg (same mass) is dropped the same distance onto a foam pad on the wood floor, it does not break. Why (in terms of physics) does this happen? A. The pad extends the time so the impulse changes. B. An egg requires a harder surface so it wont break. C. The pad pulls the egg to the floor. D. Wood is harder than the pad. please help me out asap (geometry) A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeting during the year. Using the 99% level of confidence, what is the confidence interval for the proportion of households represented at a town meeting? it is found that 4% of watches produced at a particular factory are defective. If 20 watches made at this factory are randomly selected, what is the probbility that at mpst 1 watch in the same sample is found to be defective El procesador de texto permite 79Work out the circumference of this circle.Take a to be 3.142 and write down all the digits given by your calculator.14 cm find the length of side x to the nearest tenth Louis XIV is considered a perfect example of an absolute monarch because he Capital gains may be preferred by investors over dividends even if dividends and capital gains are taxed at the same rate becausea. taxes on dividends are withheld immediatelyb. taxes on capital gains are paid annuallyc. taxes on capital gains can be timedd. after-tax dividends are less certain than capital gains Se pregunt a 44 estudiantes por el tiempo, medido en minutos, que tardan enllegar a su sitio de estudio. Las respuestas obtenidas fueron: 15,20,17,24,45,40,35,39,46,44,50,47,42,40,38,30,35,45,35,45,35,37,47,48,58,55,38,37,40,43,40,39,45,48,50,35,20,57,55,56,47,43,37,34,50,60 a) Clasifique la variable y construya laTDF correspondiente al histograma.b) Realice 4 interpretaciones de losdatos condensados en la TDF del punto a).c) Realice el histograma, el polgono defrecuencias y la ojiva de esta variable.