The expression with the least value is -2/3 - 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1)
−2/3 − (−1/2)
= -2/3 + 1/2
= (-4 + 3) / 6
= -1/6
2)
−2/3 − 1/2
= -2/3 - 1/2
= (-4 - 3)/6
= -7/6
3)
−2/3 − (−1)
= -2/3 + 1
= (-2 + 3)/3
= 1/3
4)
−2/3 − 1
= (-2 - 3) / 3
= -5/3
From (1), (2), (3), (4) we get,
-5/3 < -7/6 < -1/6 < 1/3
Thus,
-5/3 is the least value.
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What is the length of side c rounded to the nearest tenth of an inch?
6 in.
C
9 in.
Answer:
11
Step-by-step explanation:
6^2+9^2=c^2
36+81=c^2
117=c^2
[tex]\sqrt{117\\[/tex]
11
The proportional relationship between the number of inches a candle has burned away, , at any time in hours, , can be represented by the equation
�
=
0.5
�
b=0.5t. At what rate does the candle burn, in inches per hour?
The candle burns at the rate of 0.5 inches per hour.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t.
The expression can be represented by the equation
b = 0.5t.
The equation shows a proportional relationship.
That means,
b/t = 0.5.
Therefore, the rate is 0.5 inches per hour.
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The cost of a car rental is $35 per day plus 18c per mile. You are on a daily budget of $71. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
Step-by-step explanation:
35 + 0.18 *x miles ≤ 71
x ≤ 200
0.18 *x miles ≤ 71 - 35
35≤ 71 - 0.18 *x miles
the rectangle below has been divided into unit squares. find the total area of the blue shaded region, in square units. [asy] fill((0,0)--(0,5)--(1,5)--(5,0)--cycle,lightblue); fill((7,0)--(1,5)--(7,5)--cycle,lightblue); for (int i
Angle ECD will therefore be complementary to this and equal 15°
Angle DAQ will be supplementary to this as BAC = 23, which is 90 - 23 = 67.
Additionally, QDA = 90 - DAQ = 23
And because DP = PC, the angle DCP in the triangle DPC equals the angle PDC.
However, since transverse AC parallelizes DC and AB, angle BAC = angle DCP = 23.
PDC also equals 23.
So....
QDA plus PDC is 23 + 23 = 46°.
Keep in mind that the square's side equals the side of the equilateral triangle.
Thus, draw EC
EB = CB in the triangle ECB, and angle CBE is equal to 30°.
However, because EB = CB, ECB, and CEB's opposing angles will be equal.
Both will be equal to = (180 - 30) / 2 = 150 / 2 = 75°.
Thus, angle ECB = 75°.
Angle ECD will therefore be complementary to this and equal 15°.
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write the complex number in standard form
√-180
Answer:
Step-by-step explanation:
The square root of a negative real number can be represented as the imaginary unit, "i", multiplied by the square root of the absolute value of the negative number. In this case, the square root of -180 is:
√(-180) = i * √(180)
The standard form of a complex number is "a + bi", where "a" and "b" are real numbers and "i" is the imaginary unit. In this case, a = 0 and b = √(180), so the complex number can be written as:
0 + i * √(180) = i * √(180)
Therefore, the complex number √-180 in standard form is: i * √(180).
Use the formula V=s^3 to find the volume of a cube with the sides of length s= 2 1/4 inches
The volume of a cube with sides of length 2(1/4) inches is 11.4 inches³.
What is a cube?It is a polygon having six faces.
The volume of a cube is a side³
We have,
V = s³
s = 2(1/4) inches
s = 9/4 inches
Now,
V = s³
V = (9/4)³
V = 729/64
V = 11.4 inches³
Thus,
The volume of the cube is 11.4 inches³.
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The table shows the numbers of ships that visited a port in the past 5 years. Identify a polynomial function for the number of ships in thousands that visited the port in a given year.
P(x) = 1.3x3 + 0.1x2 + 2.8x
P(x) = 1.3x2 + 0.1x + 2.8
P(x) = 1.3x2 + 0.2x − 2.8
P(x) = 2.3x2 + 0.2x + 1.8
The polynomial function for the number of ships in thousands that visited the port in a given year is
D. P(x) = 2.3x² + 0.2x + 1.8How to find the polynomialThe polynomial is found by substituting the values of x and the function that has same value as in the table is the correct function
The function P(x) = 2.3x² + 0.2x + 1.8 gave the correction option, this can be ascertained using
x = 1
P(1) = 2.3 * 1² + 0.2 * 1 + 1.8 = 4.2
x = 2
P(2) = 2.3 * 2² + 0.2 * 2 + 1.8 = 8.2
x = 3
P(3) = 2.3 * 3² + 0.2 * 3 + 1.8 = 14.1
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consider an experiment that consists of determining the type of job - either blue-collar or white collar- and the political affiliation -republicans, democratic or independent - of the 15 members of an adult soccer team. how many outcomes are in the event that at least one of the team members is a blue-collow worker?
We rule up the team members, say by Social Security number. We now ask each in turn her/his job explanation and political affiliation and data the information.
For any person, the information can be recorded as an instruct pair (x ,y) where x is one of B or W, and y is one of R, D, or I. So, there are for any person 6 possible records. The team conclusion is a sequence of such records, of length 15. Thus, for our team there are 6^15 possible results.
How many of these results have at least one blue-collar worker? How many have no blue-collar worker? Then x=W, and y can still take on any of 3 values, for a total of 3^15 possibilities. Thus, the number of possible summaries with at least one B is 6^15−3^15.
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Assume Bank A received an initial deposit of $6000, Bank B received an initial
deposit of $10,000, and Bank C received an initial deposit of $2000. Each kept a
percentage of the money deposited in reserve based on the reserve rate and
loaned out the rest, and the amount each loaned out was eventually all deposited
back into the bank. This cycle continued indefinitely for all three banks. A list of
initial deposits, money multipliers, reserve rates, and total amounts deposited is
shown below.
(6 points: Part 1 - 2 points; Part II - 2 points; Part III - 2 points)
Initial Deposits: $6000; $10,000; $2000
Money Multipliers: 50, 25, 20
Reserve Rates: 5%; 2%; 4%
Total Amount Deposited: $100,000; $200,000; $150,000
Part 1: Choose the initial deposit, money multiplier, reserve rate, and total amount
deposited that would make sense for Bank A. Justify your answer.
A deposit is a term used to describe the process of depositing money into a bank account for protection. The depositor acquires ownership of the funds and is eligible for interest on the remaining balance whether the deposit is made with cash, cheques, or other financial instruments.
What is the initial deposit, money multiplier, reserve rate, and total amount deposited that would make sense for Bank?For Bank A, the initial deposit, money multiplier, reserve rate, and total amount deposited that would make sense are:
Initial Deposit: $6000
Money Multiplier: 50
Reserve Rate: 5%
Total Amount Deposited: $100,000
Justification:
The initial deposit of $6000 is consistent with the information given in the problem statement.
The money multiplier of 50 is within the range of typical money multipliers for banks, which are typically in the range of 10-60, depending on the reserve rate.
The reserve rate of 5% is consistent with industry standards, which typically range from 0-10%.
The total amount deposited of $100,000 is consistent with the initial deposit of $6000 and the money multiplier of 50.
Given these values, we can calculate the amount loaned out by Bank A as follows:
Loan Amount = Initial Deposit * (1 - Reserve Rate) * Money Multiplier
Loan Amount = $6000 * (1 - 0.05) * 50 = $285,000
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May I have help on This I’ll give you brainliest
Answer:
p=0.83 g/cm3
Step-by-step explanation:
Density = Mass ÷ Volume
So,
Density = 25 g ÷ 30 cm³ = 0.83 g/cm³ (rounded to the nearest hundredth place).
the boxplots shown below summarize two data sets, i and ii. based on the boxplots, which of the following statements about these two data sets cannot be justified?
It is not possible to determine whether the range of data set ii is smaller than the range of data set i.
The statement "Data set ii has a smaller range than data set i" cannot be justified based on the boxplots. This is because the range of a data set is the difference between the largest and smallest values in the set, and this information is not represented on a boxplot. To calculate the range of a data set, we use the formula Range = Max - Min, where Max is the largest value in the set and Min is the smallest value in the set. Since the boxplot does not show the actual values in the data set, it is impossible to calculate the range of the data set. Therefore, it is not possible to determine whether the range of data set ii is smaller than the range of data set i.
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Complete question: Which of the following statements about these two data sets cannot be justified based on the boxplots?
Charles McCoy is a manager at a coffee shop, and he has to decide how many workers to hire. One worker can make 20 drinks that sell for $3 on average in one hour. A second worker can make another 18 drinks in one hour. The marginal benefit of each additional worker decreases by two drinks, with each additional hire. Given that workers are paid $15 per hour and have eight-hour shifts, how many employees should Charles hire for each hour?
Charles should hire 20 workers for each hour.
To determine the optimal number of workers to hire, Charles needs to compare the marginal cost and marginal benefit of each additional worker.
The marginal benefit of each worker is the additional number of drinks they can produce multiplied by the average selling price per drink. The marginal cost is the hourly wage of each worker multiplied by the number of hours they work.
Initially, the marginal benefit of the first worker is 20 drinks * $3/drink = $60.
The marginal cost is $15/worker * 8 hours = $120.
The second worker has a marginal benefit of 18 drinks * $3/drink = $54.
The marginal cost is still $120.
For each additional worker hired, the marginal benefit decreases by 2 drinks * $3/drink = $6, while the marginal cost remains constant at $120.
Charles should hire workers as long as the marginal benefit is greater than the marginal cost.
Once the marginal benefit is equal to or less than the marginal cost, it is no longer profitable to hire more workers.
Therefore, Charles should hire workers until the marginal benefit is equal to the marginal cost, which occurs when the marginal benefit is $120.
To find out how many workers will provide a marginal benefit of $120, we set the marginal benefit equal to $120 and solve for the number of workers:
$6 * n = $120
$n = 20
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Help please! The functions f(x)=−3/4x+2 1/4 and g(x)=(1/2)^x+1 are shown in the graph. What are the solutions to −3/4x+2 1/4=(1/2)^x+1? Select each correct answer. −1 1 0 1 2 3
The solution of the functions [tex]f(x) = \frac{3}{4}x + 2\frac{1}{4}[/tex] and [tex]g(x) = (\frac{1}{2})^x + 1[/tex]
is (1.286, 1.41).
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, Are two functions [tex]f(x) = \frac{3}{4}x + 2\frac{1}{4}[/tex] and [tex]g(x) = (\frac{1}{2})^x + 1[/tex].
We know the solution to f(x) and g(x) is where the two functions intersect.
The graph of the functions intersects at (1.286, 1.41) and hence it is the solution.
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find the values of x and y.
As per the above given triangles the value of x is 45°.
What is triangle?Three-line segments joined end to end form the geometric shape of a triangle, which exists in two dimensions. These line segments are each referred to as a side, and the three locations where the sides converge are known as vertices. The type of triangle is determined by the angles between the sides and their lengths. Triangles can be classified as being equilateral, isosceles, scalene, right, or acute. The fact that a triangle's internal angles always add up to 180 degrees is just one of the intriguing characteristics of triangles. Triangles are a crucial idea in geometry and mathematics because they can provide the foundation for more complicated shapes and structures.
According to question:
[Since angles made by same chord on circumference are equal]
Sum of angles of triangle is 180°
47°+88°+x=180°
135+x=180
x=45°
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If the rocket sled shown in Figure 4.31 starts with only one rocket burning, what is the magnitude of its acceleration? Assume that the mass of the system is 2100 kg, the thrust T is 2.4×104 N, and the force of friction opposing the motion is known to be 650 N. (b) Why is the acceleration not one-fourth of what it is with all rockets burning?
The acceleration of the rocket is 11.1 m/s^2.
What is the acceleration?We know that the acceleration can be obtained from the net force that is acting on the rocket. Given that force is a vector quantity the direction of the forces that are acting is very important in the problem.
We know that;
Net force = Thrust force - Frictional force
If the net force is given by ma then;
2100a = 2.4×10^4 - 650
a = 2.4×10^4 - 650 /2100
a = 11.1 m/s^2
Thus, we can see that the magnitude of the acceleration is 11.1 m/s^2.
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calculate the start date for the project. place your calculation in cell h5. the start date for the project is the start date in cell g2 unless the start date falls on a weekend (saturday or sunday) in which case if will be the next workday.
The project start date for the project is 2/12/23.
In order to calculate the start date for the project, in excel, the WORKDAY Function is used. The WORKDAY Function is found under Excel Date and Time functions. The function provides a date that is N working days in the future or in the past. Working days exclude weekends and any dates identified as holidays.
The formula is: ‘=WORKDAY(start_date,days,[holidays]). The start_date (which represents the start date) and days (which represents the number of workdays to be added) are required fields. The [holiday] (which represents the array of dates that are included as workdays) is an optional field. In the given case, the formula used will be WORKDAY(G2, 0, C3:C13) and the project start date will be 2/12/23. Note that the start date of the first phase will be the same as start of the project.
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If the slope of the regression line is calculated to be 2.5 and the intercept 16 then the value of Y when X is 4 is; a) 26 b) 16 c) 2.5d) 66.5 Leave blank
The value of Y when X = 4 in the regression line that has the slope of 2,5 is a) 26
The equation of a straight line with slope m and y-intercept b is given by :
y = mx + b.
Where
1. y is the dependent variable (i.e., the value of y depends on x)
2. x is the independent variable
3. m is the slope of the line, representing the rate of change of y with respect to x
4. b is the y-intercept, the point where the line intersects the y-axis when x = 0.
This equation can be used to describe the relationship between two variables, and it can be used to make predictions about the value of y for a given value of x, or to find the value of x for a given value of y.
From the question we have the following information :
1. Slope ( or m ) is 2.5
2. The intercept ( y-intercept or b ) is 16
So, using the values given (slope = 2.5, y-intercept = 16), we have:
y = mx + b
y = 2.5x + 16
When X is 4, substituting X with 4 in the equation gives us:
y = 2.5 * 4 + 16 = 26
So the value of Y when X is 4 is 26. Answer: a) 26.
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in 2000, the population of bacteria reached 5 million, and it is projected to have 7.5 million in 2025. the formula model of the population of bacteria in x years is . what is the value of a
In 2000, the population of bacteria reached 5 million, and it is projected to have 7.5 million in 2025. the value of a is 1.49.
A particular class of mathematical model used to explore population dynamics is called a population model.
P(x) = C a ^ ( X - 2000)
C = 5m = 5(10⁶)
p( X ) = 5(10⁶) a ^ ( X - 2000)
7. 5 * 5(10^6) = 10 ^6 a^ 25
7. 5 = a ^ 5
log 7.5 = 5 log a
a =10 ^( log 7.5 / 5 )= 1.49
P ( x ) = ( 1.49m ) ^ ( X- 2000)
Models enable a better comprehension of the operation of intricate relationships and processes. Understanding how numbers change over time or in connection to one another may be made more manageable through the modelling of dynamic interactions in nature. Using population modelling as a technique allows for the detection of several trends.
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In 2000, the population of bacteria reached 5 million, and it is projected to have 7.5 million in 2025. the value of a is 1.49.
A particular class of mathematical model used to explore population dynamics is called a population model.
P(x) = C a ^ ( X - 2000)
C = 5m = 5(10⁶)
p( X ) = 5(10⁶) a ^ ( X - 2000)
7. 5 * 5(10^6) = 10 ^6 a^ 25
7. 5 = a ^ 5
log 7.5 = 5 log a
a =10 ^( log 7.5 / 5 )= 1.49
P ( x ) = ( 1.49m ) ^ ( X- 2000)
Models enable a better comprehension of the operation of intricate relationships and processes. Understanding how numbers change over time or in connection to one another may be made more manageable through the modelling of dynamic interactions in nature. Using population modelling as a technique allows for the detection of several trends.
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Error Analysis A student was asked to find the length of the unknown leg of the right triangle. He incorrectly said that the length of the unknown leg
of the right triangle is about 2.5 cm. Find the length of the unknown leg of the right triangle. What mistake might the student have made?
The length of the unknown leg of the triangle is
(Type an integer or a decimal.)
What mistake might the student have made?
cm.
OA. He subtracted the two given values.
B. He added the two given values.
OC. He did not square the length of the given leg.
OD. He did not square the length of the hypotenuse.
2.1 cm
2.9 cm
(The figure is not drawn to scale.)
The length of the unknown leg is given as follows:
x = 2.
The possible mistake is given as follows:
C. He did not square the length of the given leg.
What is the Pythagorean Theorem?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
For this problem, we have that:
The sides are of 2.1 and x.The hypotenuse is of 2.9.Hence the unknown leg is obtained as follows:
2.1² + x² = 2.9².
4.41 + x² = 8.41²
x² = 4
x = 2.
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UN caballo jala una carreta con una fuerza de 500N y se dezplaza por una pista circular de 10 metros de radio
The angular acceleration of the cart would be (50/m) rad/s².
What is relation between linear velocity (v) and angular velocity (ω)?The relation between the linear and angular velocity is -
v = rω
Given is a cart with a force of 500N and moves along a circular track with a radius of 10 meters
We can write the tangential force as -
F{t} = 500
m a{t} = 500
m dv{t}/dt = 500
m d/dt (rω) = 500
mr dω/dt = 500
dω/dt = 500/10m
dω/dt = 50/m
α = 50/m
Therefore, the angular acceleration of the cart would be (50/m) rad/s².
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{Question in english -
A horse pulls a cart with a force of 500N and moves along a circular track with a radius of 10 meters.}
What is the image point of (-9,-2) after a translation left 4 units and down 3 units?
The result after the point is translated is (-5, -5)
How to detemrine the result of the transformationFrom the question, we have the following parameters that can be used in our computation:
Point = (-9, -2)
The transformation rule is given as
translation left 4 units and down 3 units
Mathematically, this is represented as
(x, y) = (x + 4, y - 3)
So, we have
Image = (-9 + 4, -2 -3)
Evaluate
Image = (-5, -5)
Hence, the image is (-5, -5)
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What conclusion can you make about quadrilateral ABCD? Why?
The quadrilateral ABCD is a parallelogram as the opposite sides are equal but not a rectangle because all the interior angles are not right angles.
What is a quadrilateral?A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.
To make any conclusion about the quadrilateral we have to look at the lengths of each side by the distance formula [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
AB = [tex]\sqrt{(4 - 0)^2 + (2 - 8)^2[/tex].
AB = [tex]\sqrt{16 + 36[/tex].
|AB| = √52.
Similarly, |DC| = √52.
So, AB = DC.
Now, |AD| = √85 and |BC| = √85.
So, AD = BC.
Therefore, The lengths of the opposite sides are equal so it is a parallelogram.
Now, To be a rectangle DC ⊥ CB.
Slope(DC) = 6/- 4 = - 3/2.
Slope(CB) = - 6/ - 7 = 6/7.
So The quadrilateral ABCD is a parallelogram.
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Find the third degree polynomial function that has an output of 1,025 when x=5, and has zeros −20 and −4i.
The third-degree polynomial function that has an output of 1,025 when x=5, and has zeros −20 and −4i is:
f(x) = 4.55(x + 20)(x² - 16)
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
A third-degree polynomial function with real coefficients that have zeros at -20 and -4i can be written in the form:
f(x) = a(x + 20)(x + 4i)(x - 4i)
where a is a constant.
Expanding the expression and using the fact that i² = -1:
f(x) = a(x + 20)((x² + 4² × i²)
f(x) = a(x + 20)(x² - 16) ....(i)
To find the value of a, we can use the fact that f(5) = 1,025:
So f(5) = a(5 + 20)(5² - 16) = 1,025
a(25)(25-16) = 1,025
a(25)(9) = 1,025
a(225) = 1,025
a = 1,025 / 225
a = 4.55
Substitute the value of a = 4.55 in equation (i), and we get
f(x) = 4.55(x + 20)(x² - 16)
Therefore, the third-degree polynomial function is f(x) = 4.55(x + 20)(x² - 16).
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a system of equations is shown below
5x + 2y = -6
2x - 2y = -6
What is the solution to the system of equations?
The solution to the system of equations is x= -12/7 and y= 9/7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
5x + 2y = -6.............(1)
2x - 2y = -6............(2)
Solving equation (1) and (2) we get
5x+ 2x = -12
7x = -12
x= -12/7
and, 2(-12/7) -2y= -6
-2y = -6 + 24/7
y= 9/7.
Hence, the values are x= -12/7 and y= 9/7.
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find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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Find the exact lengths of the sides of quadrilateral $ABCD$ with vertices $A(4,\ 5),\ B(-3,\ 3),\ C(-6,-13)$ and $D(6,-2)$ .
$AB=$
$AD=$
$BC=$
$DC=$
The exact length of the sides of the quadrilateral are as follows:
AB = √53BC = 2√66CD = √265DA = √53What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, A quadrilateral ABCD with vertices A(4, 5), B(-3,3), C(-6,-13) and D(6,-2).
From the general formula of the distance between two coordinates in 2D plane.
Distance = √((x - x')² + (y-y')²)
For AB,
Distance = √((4 + 3)² + (5-3)²)
Distance = √49 + 4
Distance = √53
For BC,
Distance = √((-6 +3 )² + (-13-3)²)
Distance = √9 + 256
Distance = √264
Distance = 2√66
And the same process is to be continued For the CD and DA
While
CD = √265
DA = √53
Therefore, The exact length of the sides of the quadrilateral are as follows:
AB = √53BC = 2√66CD = √265DA = √53Learn more about coordinates here:
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Two variables, x and y, were measured for a random sample of 25 subjects and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. Least square estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct?
Model B is appropriate since the relationship between x and log y is linear. Hence, option E is the correct answer to this question.
The conclusion can be made based on the residual plot of Model B, which shows a linear pattern, indicating a good fit between the model and the data.
On the other hand, the residual plot of Model A shows a non-linear pattern, suggesting that the relationship between x and y may not be well-represented by a linear model.
By taking the logarithm of one or both of the variables, it may be possible to linearize the relationship and obtain a better model fit. Here, Model B, which models the relationship between x and log y, appears to be the more appropriate model.
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The complete question is -
Two variables, x, and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. The least squares estimation of the parameters in Model A yielded the following equation and residual plot. The least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct?
(a) Model A is appropriate since the relationship between x and y is linear.
(b) Model B is appropriate since the relationship between x and y is linear.
(c) Model A is appropriate since the relationship between log x and log y is linear.
(d) Model A is appropriate since the relationship between log x and y is linear.
(e) Model B is appropriate since the relationship between x and log y is linear.
Pizza Shack offers the following pizza deals.
• A 16-inch diameter round pizza for $16
• Two 12-inch diameter round pizzas for $17.50
• A 15-inch square pizza for $17
Which of these options is the best deal? Explain your reasoning in detail, using complete sentences, and if any calculations are involved, show the calculations.
Best deal for the round pizza is,
''Two 12-inch diameter round pizzas for $17.50.''
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Pizza Shack offers the following pizza deals.
• A 16-inch diameter round pizza for $16
• Two 12-inch diameter round pizzas for $17.50
• A 15-inch square pizza for $17
Now, For first deal;
• A 16-inch diameter round pizza for $16
Hence, The cost of 1 inch diameter round pizza = $16/16
= $1
For second deal;
• Two 12-inch diameter round pizzas for $17.50
Hence, Cost of 1 round pizza for 1 inch diameter = $17.50 / 2×12
= $0.73
For third deal;
• A 15-inch square pizza for $17
Hence, The cost of 1 inch diameter round pizza = $17/15
= $1.13
Thus, The best deal is,
Two 12-inch diameter round pizzas for $17.50
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What is the least common denominator of the
four fractions listed below?
20.7
10
203
4
18,000
2018
25
Least common denominator is 100.
What is fraction?Fractions in Math, represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing.
Given fractions are,
20 7/10 = 207/10
20 3/4 = 83/4
18 9/10 = 189/10
20 18/25 = 518/25
Common Denominator is 10 × 4 × 10 × 25
= (5 × 2) × (2 × 2) × (5 × 2) × (5 × 5)
Common factor among three numbers are 5 , 2.
Uncommon factors are 5 , 2
Least common denominator = 5 × 2 × 5 × 2 = 100
Hence, 100 is least common denominator of the given fractions.
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Kyle needs 42 mL of 20% acid solution for a science experiment he has available a 24% solution and 18% solution how many milliliters of the 24% solution how many milliliters of the 18% solution should he mix to make 20% solution 
HELP PLEASE
Kyle needs 0 mL of the 24% solution and 42 mL of the 18% solution to make 20% acid solution.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let's call the amount of 24% solution used x, and the amount of 18% solution used y.
We can set up two equations to represent the concentration of the mixture and the total volume of the mixture:
Concentration equation: (0.24 x + 0.18 y) / (x + y) = 0.20
Volume equation: x + y = 42 mL
we can substitute 42 mL for y in the volume equation and solve for x:
y = 42 mL
x = 42 - y = 42 - 42 = 0 mL
So, Kyle needs 0 mL of the 24% solution and 42 mL of the 18% solution to make 20% acid solution.
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