This leads to the conclusion that x=5 is the answer to the given function problem.
Function: What is it?A link where every x is related to a distinct y variable is called a function. It's noteworthy that when utilizing the similar y and different xs, the inverse is not possible. Except for vertical and horizontal lines, all linear equations can be expressed as functions.
Here,
a function that we've provided
f(x) = 5 - 25x / x
First, the x common factor in the numerator and denominator will be removed, and the resulting fraction will be zero.
5x -25
The common factor, which is 5, will be removed once more, and we will receive 5.
5(x-5)
In this case, we'll compare the expression to zero.
5(x-5) = 0
We shall discover x's value.
x=5
As a result, x=5 is the answer to the function issue that was presented.
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The complete question is "Find the x value in the given function
f(x) = 5 - 25x / x on the 16 pages - 9 "
A telephone calling card allows for$0.25 per minute plus a one-time service charge of $0.75. Write and solve an equation to find the number of minutes you can use the card if the total amount on the card is $5
The linear function that models the problem of telephones call service is
y = $5 - $0.25x + $0.75How to model the required equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable
m = slope
x = input variable
c = y intercept
The problem is represented using linear function as follows
c = $5
m = $0.25 per minute
x = minutes of calls
y = $5 - $0.25x + $0.75
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During a hammer thrower’s practice swings, the 7.1-kg head A of the hammer revolves at a constant speed in a horizontal circle as shown. Knowing that the speed of the hammer is 2.5 m/s and θ = 60°, determine (a) the tension in wire BC, (b) the radius of the circle, rho.
(a) The value of the tension in wire BC will be = 80.4 N
(b) The value of the speed of the hammer’s head will be = 2.30 m/s
Mass of the head of the hammer = 7.1 Kg.
The speed at which it is revolving = v
value of ρ=0.93 m
The value of the angle θ=60°
Tension is described as the force transferred through a rope, string, or wire when pushed by opposing forces. The tension force is directed along the length of the wire and draws energy evenly on the bodies at the ends.
(a) Now, we will first calculate the value of the tension in wire BC,
First, we will note
[tex]$$a_A=a_n=\frac{v_A^2}{\rho}$$[/tex]
(a)
[tex]$+\Sigma F_y=0: T_{B C} \sin 60^{\circ}-W_A=0$[/tex]
or we can write it as:
[tex]$$\begin{aligned}T_{B C} & =\frac{7.1 \mathrm{~kg} \times 9.81 \mathrm{~m} / \mathrm{s}^2}{\sin 60^{\circ}} \\\end{aligned}$$[/tex]
=> =80.426 N
=>= 80.4 N (approx)
(b) Now calculate the speed of the hammer’s head.
[tex]$\quad+\Sigma F_x=m_A a_A: T_{B C} \cos 60^{\circ}=m_A \frac{v_A^2}{\rho}$[/tex]
or
[tex]$$v_A^2=\frac{(80.426 \mathrm{~N}) \cos 60^{\circ} \times 0.93 \mathrm{~m}}{7.1 \mathrm{~kg}}$$[/tex] = 2.30 m/s
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Note: The correct question may be like this:
During a hammer thrower’s practice swings, the 7.1-kg head A of the hammer revolves at a constant speed v in a horizontal circle as shown. If ρ=0.93m and ,θ=60° determine (a) the tension in wire BC, (b) the speed of the hammer’s head.
The needed diagram is attached below
Can somebody help me translate these expressions.
A integer, a constant, or a mix of both, combined with specific operation symbols, make up an expression 3r+ 37.5 is the equation.
Describe expression.A number, a constant, or a mix of both, combined with specific operation symbols, make up an expression. An expression can only be an exponential function if it contains both an operators and a variable. Any unknown term can be used as a factor, together with the operator + and -. Examples of such terms include x, y, and z. Since 5 isn't an exponential function, it can be claimed that it.
Here,
Given :
It is reasonable to assume that r = n rides. Since each ride costs $3 ($3xr), the total cost is $3.
In addition, we know that FIVE people, including Tory and every one of her friends, will be at the fair. The entrance fee is $7.50, therefore we can increase it by five to reach $37.5.
That is $3r plus $37.5.
Therefore, the equation is $37.5 + $3r, where r seems to be the total of rides taken by Tory and his friends.
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How many complex roots does a 5th degree polynomial have?
A 5th degree polynomial have five complex roots. This means that the polynomial can be written as the product of five linear or quadratic polynomials.
The general formula to calculate the roots of a 5th degree polynomial is:
[tex]x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0[/tex]
The roots of the polynomial can be found by solving the following equation:
[tex]x^4 + (a - x)x^3 + (b - a x + x^2)x^2 + (c - bx + ax^2 - x^3)x + (d - cx + bx^2 - ax^3 + x^4) = 0[/tex]
To calculate the roots of the polynomial, we need to solve the quartic equation, which can be done by using the quadratic formula. Then, we can use the solutions of the quartic equation to find the roots of the 5th degree polynomial.
For example, if we have the polynomial x^5 + 2x^4 + 3x^3 + 4x^2 + 5x + 6 = 0, then the roots can be calculated as follows:
x1 = -1.7177
x2 = -0.3181
x3 = 0.5813
x4 = 1.2520
x5 = 2.1771
These are the five complex roots of the polynomial.
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4. you are looking for a deep spot to take a swim in a local river. the width of the river is about the same all along its length, but there are places where the water flows quickly and places where it flows slowly. which is a better choice for a swim?
The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:
v=Q/A,
where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
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The given equation had a solution r in the interval -2≤r≤-1. Approximate the solution correct to two decimal places.
8x^3+3x^2-7x+6=0
r≈ ?
The approximate solution of the polynomial in the interval -2≤ x ≤-1 is given as follows:
x = -1.5.
What is the rational zero theorem?The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant divided by the factors of the leading coefficient.
The polynomial for this problem is given as follows:
8x³ + 3x² - 7x + 6.
Hence the leading coefficient and the constant are given as follows:
Leading coefficient: 8.Constant: 6.The factors of the leading coefficient and of the constant are given as follows:
Leading coefficient: {1, 2, 4, 8}.Constant: {1, 2, 3, 6}.Hence the possible roots are given as follows:
±1, ±2, ±3, ±6, ±0.5, ±1.5, ±0.25, ±0.75, ±0.125, ± 0.375.
The only possible root between -2 and -1 is given as follows:
x = -1.5.
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William invested $550 in an account paying an interest rate of 2% compounded monthly. Violet invested $550 in an account paying an interest rate of 2% compounded continuously. To the nearest hundredth of a year, how much longer would it take for William's money to triple than for Violet's money to triple?
Answer:
We can use the formula A = P(1 + r/n)^(nt) to find out how long it takes for William's money to triple, where A is the final amount, P is the principal, r is the interest rate, t is the time in years and n is the number of times the interest is compounded per year.
A = P(1 + r/n)^(nt) = 550(1 + 0.02/12)^(12*t) = 3P
Solving for t we get
t = (ln(3)/ln(1+0.02/12))/12 = 49.41
For Violet's account, using the formula A=Pe^(rt) where A is the final amount, P is the principal, r is the interest rate, t is the time in years, we get:
t = ln(3) / (2 * e^-2) = 49.41
Therefore, it will take approximately 49.41 years for William's money to triple, and 49.41 years for Violet's money to triple.
So the difference in time is 0.
Given the recursive formula below, find the first five terms.
Answer:
3, 5, 7, 9, 11
Step-by-step explanation:
the recursive formula allows a term to be found by adding 2 to the previous term, that is
u₁ = 3
u₂ = u₁ + 2 = 3 + 2 = 5
u₃ = u₂ + 2 = 5 + 2 = 7
u₄ = u₃ + 2 = 7 + 2 = 9
u₅ = u₄ + 2 = 9 + 2 = 11
the first 5 terms are 3, 5, 7, 9, 11
One-fourth of total candidates failed in an examination if passing marks are
(A) 2 less than average marks of total number of candidates,
(B) 11 less than average marks of candidates who passed,
(C) twice the average marks of failed students,
then find the passing marks.
Answer:
Let the number of the passed candidates = x.Then the number of the failed candidates = 120 - x.Now the total of the marks obtained by 120 candidates = 120
Step-by-step explanation:
The correct option is B 100Here, total marks obtained by 120 students = 120 × 35 = 4200 Let the number of passed candidates = Then, total marks obtained
Review the table forecasting a company’s profit based on the number of units sold.
Which statement is the best interpretation of the value 29,864 in the quadratic regression equation?
The company has an initial loss of about $29,864.
The company has an initial profit of about $29,864.
The company needs to sell about 29,864 units to break even.
The company needs to sell about 29,864 units to maximize its profit.
The statement that best interprets the value 29,864 in the quadratic regression equation (y = -0.004·x² + 34.637·x - 29,864) for the data in the table forecasting the company's profit based on the number of units sold is the option;
The company has an initial loss of about $29,864What is a regression equation?A regression equation is an equation that aims at discovering the relationship between a dependent or output variable and the input or independent variable.
The possible data in the question, obtained from a similar question, posted online, is presented as follows;
Number of Units[tex]{}[/tex] Profits ($)
500 [tex]{}[/tex] -10,000
1200 [tex]{}[/tex] 3000
2500 [tex]{}[/tex] 27000
3200 [tex]{}[/tex] 40000
3600 [tex]{}[/tex] 45000
4300 [tex]{}[/tex] 47000
5000 [tex]{}[/tex] 45000
6750 [tex]{}[/tex] 20000
Based on the above data, using the Polynomial trendline option of Order 2, in MS Excel, the quadratic regression equation, obtained using the Display Equation on chart option is; y = -0.004·x² + 34.637·x -29,864
The function, f(x) = -0.004·x² + 34.637·x -29,864, indicates that at x = 0, which is the point where 0 units have produced, we get;
Initial Profits = f(0) = -0.004 × 0² + 34.637 × 0 -29,864 = -29,864
The value, -29,864 indicates a loss of $29,864, therefore;
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Answer:
Step-by-step explanation:
The company has an initial loss of about $29,864
Imagine you have a classmate who has never had an introduction to statistics in a math course. Explain to that person how the probability of selecting a red tile is determined. Use complete sentences.
The probability of selecting a red tile is determined by the formula number of red tiles/total number of tiles.
Probability is used to determine the chances of events.
To calculate the probability of selecting a red tile, we start by:
Get the number of red tiles
The total number of tiles
Then we need to divide the number of red tiles by the total number of tiles.
According to the question, there are 15 red tiles in a total of 60 tiles, then the probability of selecting a red tile is:
P(red) = 15/60
Divide 15 by 60
P(red) = 0.25
Thus, the probability of selecting a red tile for the given values is 0.25.
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The label on a \frac{1}{3}
3
1
-pound bag of seeds states that it will cover an area of 5656 square feet. How many square feet do the seeds cover per pound?
On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.
To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2
Answer: The bag of seeds covers 5656 square feet and is 1/3 pound. To find how many square feet the seeds cover per pound, we can divide the total coverage by the weight of the bag.
Formula: Coverage per pound = Total coverage/weight of the bag
5656 / (1/3) = 5656*3 = 16,968 square feet per pound.
Step-by-step explanation:
The expression 62.4d-21062.4d−21062, point, 4, d, minus, 210 gives the number of Indian rupees you receive when you exchange \$d$ddollar sign, d at the local currency exchange.
How many Indian rupees do you receive when you exchange \$13$13dollar sign, 13?
The amount of Indian rupees that I would be able to receive when $13 is exchanged would be = 601.2
Indian rupees.
What is local currency exchange?Local currency exchange is defined as the exchange of a money currency from its local form to another form which depends of its current exchange rate.
From the expression given;
= 62.4d -210
Where d = $13, substitute into the given equation.
= (62.4 ×13) - 210
= 811.2 -210
= 601.2
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what is the mean absolute deviation of the following set of data 8 2 12 10 2 6 12 20?
sum all the following and divided it my 8
if your answer is not an integer, leave it in simplest form
The value of the x is option b. 9√3.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Given figure is a right angled triangle because it is marked in the figure.
For right angled triangle, we have the Pythagoras theorem,
Hypotenuse² = Base² + Altitude²
Given,
Length of hypotenuse = 18
Length of base = 9
Substituting in the Pythagoras theorem,
18² = 9² + x²
x² = 18² - 9²
x² = 243
x² = 81 × 3
x = √(81 × 3)
x = 9√3
Hence the value of the unknown side is 9√3.
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the width is to be 14 feet less than 3 times the height. find the width and the height if the carpenter expects to use 28 feet of lumber to make it.
The width of the bookcase is 6 feet and height is 4 feet if the carpenter expects to use 28 feet of lumber to make it.
Let w = the width and h = the height of the bookcase. The width of the lumber you are using is not given.
Also, Let the height is x.
and, the width is 3x -14.
Since, we stated that this equals 28 feet and also that w = 3h - 14, we can insert this into the equation and use it to solve for h:
Now,
The total amount of lumber used to make the bookcase is:
L = 4w + 2h -------------------------- (1)
Now Putting Width and height in the Equation (1):
⇒ 28 = 4(3h - 14) + 2h
⇒ 28 = 12h - 56 + 2h
⇒ 28 = 14h - 56
⇒ 84 = 14h
⇒ h = 84/14
= 6 feet
Putting the value of height, h= 6 feet in
w = 3x -14
⇒ w = 3(6) - 14 = 4.
Therefore,
The width is 4 feet and the height is 6 feet.
Complete Question:
A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 14 feet less than 3 times the height. Find the width and the height if the carpenter expects to use 28 feet of lumber to make it.
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What principal you have to deposit in a 4.5% savings account compounded monthly in order to have a total of 100,000 after 8 years?
Answer: Please use this method
Periods N = 8 years x 12 = 96 periods
The interest rate I = 4.5 % per year, compounding, divided by 12 = 0.375 % for each period.
Present value PV = minus $ 6,981.46
Future value FV = $ 10,000.20
Step-by-step explanation:
the histogram above e shows the distribution of the number of abenses from school during one month in a class
The histogram shows that the majority of the students had between 0 and 5 absences. There were some students with 6 to 10 absences, and a few students with 11 to 15 absences. There were no students with more than 15 absences.
1. The histogram shows a distribution of the number of absences from school during one month in a class of 30 students.
2. The data is divided into frequency intervals of 1, meaning that each interval represents the number of students with a certain number of absences.
3. The highest frequency interval is between 0 and 5 absences, indicating that the majority of the students had between 0 and 5 absences.
4. The second highest frequency interval is between 6 and 10 absences, indicating that there were some students with 6 to 10 absences.
5. The third highest frequency interval is between 11 and 15 absences, indicating that there were a few students with 11 to 15 absences.
6. There were no students with more than 15 absences, as there is no frequency interval for numbers higher than 15.
the complete question is : the histogram above e shows the distribution of the number of abenses from school during one month in a class of 30 students. The data is divided into frequency intervals of 1.
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Andrew plays trumpet in the concert band. He holds the trumpet still at his side until it is time for him to play. When it is time, he brings the trumpet up to his
mouth and starts to play. Which statement correctly connects the motion of the trumpet with Newton's first law of motion?
OA. A tuba has more mass than a trumpet, so it has greater inertia.
OB. The trumpet automatically stops moving without a force acting on it.
OC. The trumpet starts moving because a net force overcomes the trumpet's inertia.
OD. Andrew exerts an action force on the trumpet, and the trumpet exerts a reaction force on Andrew.
Option C connects the motion of the trumpet with Newton's first law of motion. The trumpet starts moving because a net force overcomes the trumpet's inertia.
What is Newton's first law of motion?According to Newton's first law of motion, a body won't begin to move unless and until an outside force acts on it. When anything starts moving, it won't stop or vary its speed unless another force acts on it. The law of inertia is another name for the first law of motion.
Given, The concert band's trumpet player is Andrew. Until it is time for him to play, he keeps the instrument still at his side. He positions the trumpet next to his mouth and begins to play afterward.
First of all, there are no movements, no acceleration, and no velocity for the trumpet. Newton's first law of motion, which states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force, explains why the trumpet is in this state. The trumpet continues to move at zero velocity since there is no net force exerted on it.
The trumpet is then moved by Andrew. It indicates that Andrew pushed the trumpet with vigor. It caused the body to transition from the resting condition to the moving state.
Finally, we can draw the conclusion that Trumpet will remain at rest unless Andrew applies a net force that is different from zero in accordance with Newton's first law of motion.
Hence, The trumpet starts moving because a net force overcomes the trumpet's inertia.
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PLS HEELP ME! I AM IN CLASS AND I DONT UNDERSTAND THIS
Answer:
it is not an option for the rest of your life with a new one of the year old girl who is the best friend and I have a great day to be a great day to be a great day to be a great 6
Step-by-step explanation:
or false hope I can I get to be a great day to be
Can 8cm 5cm 10cm form the sides of a right-angled triangle?
No, the given measurement of the sides of a triangle does not forms a right angled triangle.
As given in the question,
For the given triangle,
Length of the sides of the triangle is given by :
8cm , 5 cm , and 10cm
In the given triangle longest side is equal to 10cm
Condition for a right angled triangle:
Longest side is the hypotenuse of the right angled triangle.
By Pythagoras theorem we have,
( Hypotenuse )² = ( Side1)² + ( Side 2)²
R.H.S. ( Right hand side )
= ( 8 )² + (5 )²
= 64 + 25
= 89
≠ 10²
Here given length side of a triangle does not satisfies the Pythagoras theorem .
Therefore, the given sides of a triangle is not representing a right angled triangle.
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Ris is a botanist who works for a garden that many tourists visit. the function f(s) = 2s + 25 represents the number of flowers that bloomed, where s is the number of seeds she planted. the function s(w) = 25w represents the number of seeds she plants per week, where w represents the number of weeks. part a: write a composite function that represents how many flowers iris can expect to bloom over a certain number of weeks. (4 points) part b: what are the units of measurement for the composite function in part a? (2 points) part c: evaluate the composite function in part a for 30 weeks. (4 points)
The hybrid factor is f(w) Equals 50w + 25 according to the preceding statement. The hybrid value is measured in units of f (flowers) and w (weeks), etc. 30 weeks of Part A's synthesis function equal 1525.
What exactly are function and example?A task is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is just the input value, we would state that y is a mathematical function
Given that:
f(s) = 2s + 25
s(w) = 25w
The following combination function is used to determine how many flowers will blossom over the course of w weeks: f(w)
f(s) = 2s + 25
Replace s with s(w)
f(s(w)) = 2(s(w)) + 25
Substitute s(w) = 25w
f(s(w)) = 2(25w) + 25
f(s(w)) = 50w + 25
Hence,
f(w) = 50w + 25
Flowers are used as the units of measurement for f(w).
30 weeks of flowers translates to:
w = 30
So, we have:
f(30) = 50*30+25
f(30) = 1525
Thus, there will be 1525 blossoms throughout the course of 30 weeks.
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pleae find perimeter and area!!!
Answer:
area: 576 cm ^2
perimeter: (48 + 24π) cm
Step-by-step explanation:
the semicircle taken out of the square (the white area) is equal to the semicircle added to the left of it. thus, we just have the area of a square. we know this because both have the same diameter and are semicircles. thus, our area is 24^2 = 576 cm ^2
for perimeter:
top: 24 cm
bottom: 24 cm
right: this is equal to half the circumference of a circle. this is because we know it's a semicircle taken out. circumference = πd = 24 * π. divide this by 2 to get 12π.
left: this is also equal to half the circumference of a circle = 12π
sum = 48cm + 24π
QuestionReflect (4,5) in the x-axis followed by the y-axis. QuestionReflect (4,5) in the x-axis followed by the y-axis
The resulting reflection will be (4,-5) and will be followed by (-4,-5).
What is coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space. The ordinate is the distance of a point from the x-axis scaled with the y-axis. Coordinates are the abscissa and ordinate combined. A series of data indicating a precise position. On graphs, it is typically represented by a pair of numbers: the first number represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is 12 units long and 5 units high.
Here,
given coordinates=(4,5)
Firstly, reflecting across x axis, point (x,y) turns to (x, -y).
=(4,-5)
Secondly, reflecting (x,-y) across y-axis, point (x,-y) turns to (-x,-y).
=(-4,-5)
The resultant reflection will lead (4,-5) followed by (-4,-5).
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If the ratio of areas of two similar hexagons are to each other as 5: 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon? (Round your answer to two decimal places.)
A. 3.16
B. 10.00
C. 15.81
D. 250.00
The corresponding side in the other Hexagon will be 15.81.
What is Hexagon?
In geometry, a hexagon is a six-sided polygon. Each internal angle and the side length of a regular hexagon are both 120 degrees. The formula used to determine the area of a regular hexagon is:
Area = 3 [tex]\sqrt{3}[/tex]/2 * [tex]side^{2}[/tex]
Each internal angle in an irregular hexagon can be greater than or less than 120 degrees, and the sides are uneven in length.
In our question it is given that the ratio of the area of two similar hexagons is 5:2. This indicates that the sides' square ratio is 5: 2.
Let x represent the corresponding side in the opposite hexagon.
Then, [tex]25^{2}[/tex] : [tex]x^{2}[/tex] = 5:2
= 625/[tex]x^{2}[/tex] = 5/2
= [tex]x^{2}[/tex] = (625 *2)/5
= [tex]x^{2}[/tex] = 250
= x = [tex]\sqrt{250}[/tex]
= x = 15.81 approx
Therefore, the corresponding side in the other hexagon will be 15.81.
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What is 0.28 as a fraction of 0.8 ? Circle your answer.
Answer:
0.28 = 28/100 = 14/50 = 7/25 and 0.8 = 8/10 = 4/5
a piece of wire 10m long is cut into 2 pieces. one piece is bent into a square and the other into a circle. how much of the wire should be used for the square if you want to minimize the total enclosed area? please give an exact simplified answer.
Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.
Let x = length of the portion that is bent into a circle
Then, 10-x = length bent into a square
Each side of the square has length (10-x)/4
So, area of square = (10-x)2/16
x = circumference of circle = 2πr So, r = x/(2π)
Therefore, Area of circle = πr2 = x2/(4π)
T = total area = (10-x)2/16 + x2/(4π)
= [(10-x)2π + 4x2 ]/(16π)
= [(100-20x+x2)π + 4x2]/(16π)
= [(4+π)x2 -(20π)x+100π]/(16π)
= [(4+π)/(16π)]x2 - (5/4)x + (25/4)
The graph of T is a parabola opening upward. The minimum of T occurs at the vertex of the parabola.
The x coordinate of the parabola is (5/4)/[(4+π)/(8π)] = (10π)/(4+π) ≈ 4.4
Thus, Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.
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One pipe can fill and drain the pool at a rate that is 1 more than 2 times faster than the other pipe. If both pipes are open and working properly, it will take 3.5 hours to fill the pool.
So the time taken to fill the pool by the slower pipe is 30 hours .
As mentioned about the time in the question stated below.
Let the slower pipe's time be x and the quicker pipe's time be x/2.
By slower pipe in an hour = 1/x, quicker pipe in an hour = 2/x, and by both = 1/10.
2/x+1/x = 1/10
we have to take reciprocal of the time taken by each pipes.
(1+2)/x = 1/10
=> 3/x = 10
=> x= 30
The slower pipe requires 30 hours of times to completely fill the pipe.
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Complete question:
A single pipe can fill a pool twice as quickly as a second one. The pool will be filled in ten hours once both pipes are opened. If only the slower pipe is utilized, how long would it take to fill the pool?
Write your answer as a whole number or decimal.The volume of a cylinder with a base of area B and a height h is Bh. Bryce is using a cylinder-shaped can to hold his pencils. The can has a 5.4-square-inch base and a height of 8 inches.
Step-by-step explanation:
that means we have to calculate the volume of that cylinder ?
as the decryption says : the volume is
base area × height
or
Bh
base area = 5.4 in²
height = 8 in
the volume is
5.4 × 8 = 43.2 in³
60 POINTS BEING AWARDED!!!!!!!! PRECISION Find the values of x and y in the trapezoid. Justify your answer.
The values of x and y in the trapezoid are x = 15 and y = 3
What is a trapezoid?You should understand that a trapezoid or trapezium is a quadrilateral having two parallel sides and two non-parallel sides
If the trapezoid is isosceles, angles A and C are supplementary, so ...
(4x+4) +(7x+11) = 180
This implies that
11x +15 = 180
Collecting terms we have
11x = 165 . . . . . . . . . subtract 15
x = 15 . . . . . . . . . . . . divide by the coefficient of x
And angles C and E are congruent.
4·15 +4 = 21y +1
63 = 21y . . . . . subtract 1
3 = y . . . . . . . . divide by the coefficient of y
In conclusion x and y are 15 and 3
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