The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.
Answers
Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = \(\dfrac{5}{2}\) m
= \(2.5\) m
Volume of the cylinder is:
\(V_1=\pi r^2h\)
Where, r is the radius and h is the height of the cylinder.
Putting \(\pi =3.14, r=2.5, h=3\) in the above formula, we get
\(V_1=(3.14)(2.5)^2(3)\)
\(V_1=(3.14)(6.25)(3)\)
\(V_1=58.875\)
Volume of a cone is:
\(V_2=\dfrac{1}{3}\pi r^2h\)
Where, r is the radius and h is the height of the cone.
Putting \(\pi =3.14, r=2.5, h=2\) in the above formula, we get
\(V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)\)
\(V_2=\dfrac{1}{3}(3.14)(6.25)(2)\)
\(V_2\approx 13.083\)
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
\(V=V_1+V_2\)
\(V=58.875+13.083\)
\(V=71.958\)
\(V\approx 72\)
Therefore, the volume of the kiosk is 72 cubic meter.
Related Questions
(Multiple choice)
Can I please have some help with this question, I will reward most Brainly to who ever gets it correct.
Answers
∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone help?
Answers
Answer:
m>a is 40
Step-by-step explanation:
4x + 50 = 90
4x = 40
x = 10
10*4 = 40
M>A = 40
Identify the multiples of the given numbers.
Answers
2. 8,16,24
3. 12, 24, 36
4. 15, 30, 45, 60
4. 30, 60, 90
Answer:
multiple of 6 are 6,12, 18
multiples of 8 are 8, 16, 24
multiples of 12 are 12, 24, 36
multiples of 15 are 15, 30, 45, 60
multiples of 30 are 30, and 60, 90
have a nice day
,
explain what type of a probabilistic result is conveyed by the p-value.
Answers
A p-value conveys the type of probabilistic result known as "statistical significance." Statistical significance refers to the likelihood that a given result occurred by chance.
A p-value is a measure of this likelihood, with a smaller p-value indicating a smaller likelihood that the result occurred by chance. In other words, a smaller p-value indicates a higher level of statistical significance.
For example, if a p-value is 0.01, this means that there is a 1% chance that the result occurred by chance. This is considered to be statistically significant, as it is unlikely that the result occurred by chance. On the other hand, if a p-value is 0.5, this means that there is a 50% chance that the result occurred by chance. This is not considered to be statistically significant, as it is equally likely that the result occurred by chance or not.
In summary, a p-value conveys the type of probabilistic result known as statistical significance, with smaller p-values indicating a higher level of statistical significance.
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Find ( f + g)(x).
A) ( f + g)(x) =
B) ( f + g)(x) =
C) ( f + g)(x) =
D) ( f + g)(x) =
E) ( f + g)(x) =
Answers
Answer:
B
Step-by-step explanation:
Dude trust me
What is the percent of change if 36 is decreased to 24?
Answers
Answer:
0.33
Step-by-step explanation:
the null hypothesis is always a statement about what?
Answers
The null hypothesis is always a statement about the population parameter or the absence of a relationship or difference between variables in a statistical hypothesis test. It is typically denoted as "H0" and assumes no effect or no difference exists.
The null hypothesis can take different forms depending on the specific research question. For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the means are equal. In a correlation study, the null hypothesis could assert that there is no correlation between variables.
The null hypothesis acts as a baseline for comparison in hypothesis testing. Researchers aim to gather evidence against the null hypothesis to support an alternative hypothesis. Statistical analysis helps determine the likelihood of observing the obtained data if the null hypothesis were true.
By specifying a null hypothesis, researchers can objectively evaluate the evidence and draw conclusions about the relationship or difference they are investigating.
In summary, the null hypothesis is a statement about the population parameter or lack of relationship/difference, which serves as a reference point for hypothesis testing. It helps researchers assess evidence and draw conclusions based on statistical analysis.
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A fuel oil tank is an upright cylinder, buried so that its circular top is 12 feet beneath ground level. The tank has a radius of 6 feet and is 18 feet high, although the current oil level is only 14 feet deep. Calculate the work required to pump all of the oil to the surface. Oil weighs 50 lb/ft³. Work = Don't forget to enter units
Answers
The work required to pump all the oil to the surface is 4.87 million ft-lb.
The fuel oil tank is an upright cylinder with a circular top 12 feet below ground level.
Its dimensions are a radius of 6 feet and a height of 18 feet, with a current oil level of only 14 feet deep.
Calculate the work necessary to pump all of the oil to the surface, given that oil has a weight of 50 lb/ft³.
Work is equal to the force multiplied by the distance moved by the object along the force's direction (W = Fd).
The force is equal to the mass multiplied by the gravitational field strength (F = mg).
The mass is equal to the density multiplied by the volume (m = ρV).
Let's first calculate the volume of oil contained in the tank.
V = πr²h = π(6²)(14) = 504π cubic feet, where V is the volume, r is the radius, and h is the height.
Substituting the density of oil and the volume of oil into the mass equation, we get
m = ρV = (50 lb/ft³) (504π ft³) = 25200π lb
Next, calculate the weight of the oil.F = mg = (25200π lb) (32.2 ft/s²) = 811440 lb.
Substituting the force and the distance into the work formula, we get the work required.
W = Fd = (811440 lb) (12 ft) = 9737280 ft-lb = 4.87 million ft-lb (rounded to two decimal places).
The work required to pump all the oil to the surface is 4.87 million ft-lb.
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What is the surface area of the rectangular pyramid below 11, 11, 11
Answers
a grocery store wants to examine the relationship between the sales amounts each day at two different locations, store a and store b. the sales amount each day, in dollars, was recorded for 10 days at each store. the least-squares regression line is yˆ
Answers
The mean of the 10 sales amounts for store A is $40,000
The least-squares regression line is
y=-3000+1.2x
where
x represents the sales amounts each day at store A
y represents the sales amounts each day at store B
we have
y=$45,000
substitute the value of y in the linear equation and solve for x
45000=-3000+1.2x
1.2x=48000
x=40000
therefore
The mean of the 10 sales amounts for store A is $40,000
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Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?
A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right
Answers
Answer:
B) x <= -3
Step-by-step explanation:
B is the only answer that shows x being less than -3.
all of the other answers show x being greater than -3.
Jim and his wife, Pam, went to a Valentine’s Day party where four other married couples were present. Every person shook hands with everyone he or she did not know. When they sat down for dinner,Jim asked everyone, including Pam, how many hands they shook. To his surprise, Jim receivednine different answers. How many hands did Pam shake?
Answers
Pam shook hands with 31 people at the Valentine's Day party, excluding Jim, based on the fact that Jim received nine different answers about the number of hands shaken
Since Jim received nine different answers, we know that he did not shake hands with his wife, Pam. Therefore, Pam must have shaken hands with every person except Jim. Each of the four couples consists of two people who are not Jim or Pam, and each person in those couples would shake hands with four other people they don't know.
This results in a total of 4 couples × 2 people per couple × 4 handshakes per person = 32 handshakes. Since Pam shook hands with everyone except Jim, she shook hands with a total of 32 people. However, we need to subtract one handshake from the total because she didn't shake hands with Jim. Therefore, Pam shook hands with 32 - 1 = 31 people.
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Can somebody please help
Answers
2 x 10^5
Answer:
yea what she put try taking a picture
Kayla has 5 2/3 tablespoons of sugar
in a bowl. She is sprinkling 1/3
tablespoon of sugar on top of each
cupcake she is baking. How many
cupcakes can she sprinkle with the
sugar that is in the bowl?
Answers
I. change the orientation of the transversals, and calculate the ratios again. based on the new ratios, what can you conclude about three or more parallel lines that intersect two transversals?
type your response here:
Answers
When three or more parallel lines intersect two transversals, they cut off the transversals proportionally.
What are parallel lines?It should be noted that parallel lines are the lines in a plane that are the same distance apart.
In this case, when three or more parallel lines intersect two transversals, they cut off the transversals proportionally.
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Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10. (11)11. (13)13 is equal to_____
Answers
The number of divisors of 1730 of the form 4n + 1 is 20.
What do you mean by integers?An integer is a whole number, meaning it can be positive, negative, or zero, but it cannot be a fraction or a decimal. Integers are a subset of real numbers, which also include fractional and decimal numbers.
Integers are commonly used in mathematics and computer science for counting and for performing arithmetic operations such as addition, subtraction, multiplication, and division. They are also used to represent the magnitude of a quantity, such as the number of items in a set or the time elapsed in seconds.
In computer programming, integers are often stored as binary numbers, which are sequences of bits that represent positive or negative whole numbers. Different computer architectures have different numbers of bits for representing integers, with common sizes being 8, 16, 32, and 64 bits.
The number (10)10. (11)11. (13)13 is equal to 11 × 13 × 10 = 1730 in decimal.
A divisor of a number can be represented as (4n + 1) where n is a non-negative integer.
To find the number of divisors of 1730 of the form 4n + 1, we need to find the number of factors of 1730 that can be expressed as 4n + 1.
First, we find the prime factorization of 1730:
1730 = 2 × 3 × 5 × 29
Since 1730 is an odd number, one of its divisors must also be an odd number.
The only possible values for n are 0, 1, 2, ..., (number of odd divisors - 1).
In this case, the number of odd divisors of 1730 can be calculated as:
(number of ways to choose 0 odd factors) × (number of ways to choose 1 odd factor) × (number of ways to choose 2 odd factors) × ... × (number of ways to choose 4 odd factors)
= 1 × 4 × 5 × 1 = 20
Thus, the number of divisors of 1730 of the form 4n + 1 is 20.
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Unit measure in order from smallest to largest Pounds, kilograms, ounces, grams
Answers
The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.
The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.
Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.
Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.
So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.
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Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $85,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 9%, whereas the Blue Chip fund has a projected annual return of 8%. The investment advisor requires that at most $55,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be
6(10) + 4(10) = 100.
Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 410.
(a)
Formulate a linear programming model to find the best investment strategy for this client. (Assume N is the amount invested in the internet fund project and B is the amount invested in the Blue Chip fund. Express the amounts invested in thousands of dollars.)
Max _______________ s.t.
Available investment funds
Maximum investment in the internet fund
Maximum risk for a moderate investor
N, B ≥ 0
(b)
Build a spreadsheet model and solve the problem using Excel Solver. What is the recommended investment portfolio (in dollars) for this client?
internet fund$
blue chip fund$
What is the annual return (in dollars) for the portfolio?
$
(b)
Suppose that a second client with $85,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 450. What is the recommended investment portfolio (in dollars) for this aggressive investor?
internet fund$
blue chip fund$
(d)
Suppose that a third client with $85,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 320. Develop the recommended investment portfolio (in dollars) for the conservative investor.
internet fund$
blue chip fund$
Answers
A. N, B ≥ 0 (non-negativity constraint)
B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
C. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(a)
The linear programming model to find the best investment strategy for this client can be formulated as follows:
Maximize: 0.09N + 0.08B
Subject to:
N + B ≤ 85 (maximum investment of $85,000)
N ≤ 55 (maximum investment of $55,000 in the internet fund)
6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)
N, B ≥ 0 (non-negativity constraint)
(b)
To solve the problem using Excel Solver, you can set up the following spreadsheet model:
Cell A1: N (amount invested in the internet fund)
Cell B1: B (amount invested in the Blue Chip fund)
Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)
Constraints:
Cell A2: ≤ 85
Cell B2: ≤ 85
Cell C2: ≤ 55
Cell D2: ≤ 410
The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.
Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.
The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
(b)
For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 450
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(d)
For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 320
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
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calculate the molecular weight of a gas with a density of 1.524 g/l at stp.
Answers
To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
Rearranging the equation, we get n = PV/RT.
Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.
Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.
To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:
1. Recall the ideal gas equation: PV = nRT
2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).
3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):
n/V = (1.524 g/L) / (22.4 L/mol)
4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):
M = (n/V) * (RT/P)
5. Substitute the values and solve for M:
M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)
6. Calculate the molecular weight of the gas:
M ≈ 32.0 g/mol
Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.
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I'm a number between 17 and 25 i'm a multpile of 3 6 is not mynfactor
Answers
The number that fits the given criteria is 21.
The number 21 is between 17 and 25, and it is a multiple of 3. It is not a multiple of 6 because it is not divisible evenly by 6.
The factors of 21 are 1, 3, 7, and 21. Since 6 is not one of its factors, 21 satisfies the given conditions.
To find the answer, we first identify the range of numbers given, which is between 17 and 25.
Next, we look for a number within this range that is a multiple of 3. Multiples of 3 are numbers that can be divided evenly by 3 without leaving a remainder.
Among the numbers in the given range, only 21 satisfies this condition. Lastly, we check if the number is a multiple of 6. A multiple of 6 is a number that can be divided evenly by 6 without leaving a remainder.
Since 21 cannot be divided evenly by 6, it does not meet this criterion. Therefore, 21 is the number that fits all the given conditions.
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Make c the subject:
A=b+cd
Answers
All you have to do is this! Please mark me as brainliest
Answer:
C = A/d - b/d or C = (A - b)/d
Step-by-step explanation:
A = b + cd
A - b = cd
A/d - b/d = c
what does 256 to the power of 0 equal too?
Answers
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1
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Automatic Transmissions, Inc., has the following estimates for its new gear assembly project: price = $940 per unit; variable cost = $340 per unit; fixed costs = $3.4 million; quantity = 53,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?
Answers
In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.
In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.
On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.
Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units
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Which of these is NOT a major organ of the circulatory system?*
O heart
veins
capillaries
O arteries
O lungs
Answers
Answer:
Lungs im pretty sure
Answer:
Lungs are not part of the circulatory system. They're part of the respiratory system
Step-by-step explanation:
Evaluate -3(c + d)
for c= -2 and d = 1
Answers
Answer:
3
Step-by-step explanation:
The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3
find the nth term of this quadratic sequence
3, 8, 15, 24, 35...
Answers
Answer:
5n - 2
Step-by-step explanation:
8 subract 3 is 5
5 minus 3 is 2
5n - 2
The second difference is +2
Half the second difference to get the coefficient of n^2
So it will be n^2
Compare n^2 to original sequence
1 4 9 16 25 36
3 8 15 24 35
The difference between the two is +2 +4 +6 +3
This is a linear sequence with the nth term of 2n
so the nth term is n^2 +2n
What is the range of the data set below?
25, 24, 24, 24, 33
Answers
Answer:
9
Step-by-step explanation:
the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.
So u just subtract 24 from 33:
33 – 24 = 9
and that's your range! hope this helps!
Answer 9
Is it true that If v1, v2,. . ., vp are in R^n, then Span{v1, v2,. . ., vp} is the same as the column space of the matrix [v1 v2 . . . vp]
Answers
Yes.
It is true that if v1, v2, ..., vp are vectors in Rⁿ, then Span{v1, v2, ..., vp} is the same as the column space of the matrix [v1 v2 ... vp].
True, let A = [v1 v2 ... vp] be the matrix columns are the given vectors.
The column space of A is the set of all linear combinations of the columns of A, which is exactly the same as the span of the vectors v1, v2, ..., vp.
In other words, any vector that can be written as a linear combination of the columns of A is also in Span{v1, v2, ..., vp}, and vice versa.
The tools of linear algebra to study the span of a set of vectors, by considering the column space of the corresponding matrix.
Techniques like row reduction and rank to determine if a set of vectors is linearly independent or spans the whole space Rⁿ.
Yes, the given vectors should be used as the matrix columns in A = [v1 v2... vp].
The span of the vectors v1, v2,..., vp is exactly the same as the column space of A, which is the set of all linear combinations of the columns of A.
This means that any vector that can be expressed as a linear combination of columns from A is also a vector in Spanv1, v2,..., vp and vice versa.
By taking into account the column space of the associated matrix, the techniques of linear algebra may be used to examine the range of a collection of vectors.
To establish if a group of vectors spans the whole space Rn or is linearly independent, use methods like rank and row reduction.
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Find the xx-intercept of each line defined below and compare their values.
Equation of Line A:
y-2=-(x+1)
Select values from Line B:
x y
−2 0
-1− -3
0 -6
Answers
The x-intercept of line A is (1,0) and the x - intercept of line B is (-2,0).
Given:
Equation of Line A: y-2=-(x+1)
on finding x intercept put y = 0
0 - 2 = -x - 1
-2 = -x - 1
-x = -2 + 1
-x = -1
x = 1.
The x intercept is (1,0)
The x intercept for the line B is (-2,0).
Therefore the x-intercept of line A is (1,0) and the x - intercept of line B is (-2,0).
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Find S4 of a1=64, an=-3/4an-1, n>2
Answers
just to clarify some part of the notation
\(a_n=-\cfrac{3}{4}a_{n-1}\) this is simply saying that whatever "nth" term you wish to get, is -3/4 times whatever is before it, so another wording for that will be, the next term is the current term times -3/4, so in short -3/4 is the common ratio.
\(\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ a_1=64\\ n=4\\ r=-\frac{3}{4} \end{cases}\)
\(S_4=64\left( \cfrac{1-\left( -\frac{3}{4} \right)^4}{1-\left( -\frac{3}{4} \right)} \right)\implies S_4=64\left( \cfrac{~~ \frac{ 175 }{ 256 } ~~}{\frac{7}{4}} \right) \\\\\\ S_4=64\left( \cfrac{25}{64} \right)\implies S_4=25\)