Given the right triangle in the diagram below, what is the value of x, to the nearest foot
Answers
Therefore, the value of x, to the nearest foot, is A. 11 in the right triangle in the diagram below.
What is triangle?A triangle is a two-dimensional geometrical shape with three sides and three angles. It is a polygon with the least number of sides. Triangles are classified based on the length of their sides and the measure of their angles. The three sides of a triangle can be classified as equal, two equal sides, or three unequal sides. Triangles can also be classified based on their angles as acute (all angles less than 90 degrees), right (one angle is equal to 90 degrees), obtuse (one angle greater than 90 degrees), or equiangular (all angles are equal). The interior angles of a triangle always add up to 180 degrees. The longest side of a right triangle is called the hypotenuse, and it is opposite to the right angle. The Pythagorean theorem is used to find the missing side of a right triangle. Triangles are widely used in mathematics, physics, engineering, and other fields. They form the basic building block of more complex geometrical shapes and structures.
Here,
Using trigonometry, we can find that:
tan(40°) = x/14
Multiplying both sides by 14, we get:
x = 14 * tan(40°)
Using a calculator, we get:
x ≈ 11.0
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Complete question:
Given the right triangle in the diagram below. what is the value of x, to the nearest foot?
A. 11
B. 17
c. 18
D. 22
Related Questions
Find the surface area of the prism. 13cm 16cm 5cm 12cm
Answers
the surface area of the prism is 706 cm². To find the surface area of a prism, we need to add up the areas of all its faces.
A prism is a three-dimensional shape that has two parallel and congruent bases that are connected by rectangular sides. Therefore, the surface area of a prism consists of two congruent base areas and the area of all rectangular sides.
In this case, we have a rectangular prism with a length of 13 cm, a width of 16 cm, and a height of 5 cm. To find the surface area, we can start by calculating the area of the two rectangular bases. The area of a rectangle is found by multiplying its length by its width, so the area of each base is 13 cm x 16 cm = 208 cm².
Next, we need to calculate the area of all four rectangular sides. Since there are four sides, we need to multiply the perimeter of the base (the sum of the lengths of all four sides) by the height of the prism. The perimeter of the base is 2(13 cm + 16 cm) = 58 cm, so the total area of all four rectangular sides is 58 cm x 5 cm = 290 cm².
Finally, we can find the total surface area of the prism by adding the areas of the two bases and the area of all four sides. Therefore, the surface area of the prism is:
Surface area = 2(base area) + (area of all sides)
Surface area = 2(208 cm²) + 290 cm²
Surface area = 706 cm²
Therefore, the surface area of the prism is 706 cm². It is important to understand how to find the surface area of different shapes since it is a common concept in mathematics and is often used in real-life applications, such as calculating the amount of paint needed to cover a surface or the amount of wrapping paper needed to wrap a gift box.
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explain why finding a nonzero solution to a system of homogeneous equations (like above) requires that the matrix corresponding to this system is singular. eigen
Answers
To find a nonzero solution to a system of homogeneous equations, the corresponding matrix must be singular, meaning it has no inverse and its determinant is zero, allowing for the existence of eigenvectors corresponding to the eigenvalue λ = 0.
When we have a system of homogeneous equations, it means that all the equations in the system have a right-hand side of zero. Such a system can be written as Ax = 0, where A is the coefficient matrix and x is the column vector of variables.
To find a nonzero solution, we need to find a value of x such that Ax = 0, but x ≠ 0.
If A is a singular matrix, it means that it has no inverse, and its determinant is zero. This implies that the rows of A are linearly dependent, which in turn means that the columns of A are also linearly dependent. In other words, some of the columns of A can be expressed as linear combinations of the others.
When we multiply a singular matrix A by any nonzero vector x, we get a linear combination of its columns that equals zero, since the columns of A are linearly dependent.
Therefore, we can always find a nonzero vector x that satisfies Ax = 0. This nonzero vector x is called an eigenvector corresponding to the eigenvalue λ = 0, which is the only eigenvalue of a singular matrix.
Hence, finding a nonzero solution to a system of homogeneous equations requires that the matrix corresponding to this system is singular because only singular matrices have eigenvectors corresponding to the eigenvalue λ = 0, which are the solutions to the homogeneous equation Ax = 0.
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write a polynomial function in standard form with real coefficients whose zeros include 2,8i,-8i
Answers
If the zeros are 2, 8i, and -8i, the the polynomial has factors of (x-2), (x-8i), and (x+8i).
If we multiply those factors, we'll get our polynomial:
(x-2)·(x-8i)·(x+8i) = (x-2)·(x^2+64)
= x^3 - 2x^2 + 64x - 128
the physician orders digoxin tablets 187.5 mcg po daily for the patient. how many tablets will the nurse give to the patient? enter only the numeral (not the unit of measurement) in your answer.
Answers
The nurse will give the patient one tablet of digoxin per day. Each tablet contains 187.5 mcg, so one tablet is the correct dose for the patient.
As per given information,
Patient's daily dose is 187.5 mcg.
Here we have to calculate the number of tablets the nurse will give the patient, use the following formula:
To get the number of tablets,
We have to divide the Patient's daily dose (mcg) by tablet dose (mcg).
Plugging in the numbers from the patient's prescription, we get:
Number of tablets = 187.5 mcg / 187.5 mcg
By simplifying these we get:
Number of tablets = 1
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mira is an unmarried lady her monthly income is rs 55000 with an allowance of 3000 she gets festival expenses equivalent to monthly basic salary of a month and 10% of her salary excluding allowance and festival expenses is deducted as provident fund
Answers
Answer:
Mira's monthly income: Rs. 55,000
Allowance: Rs. 3,000
Total monthly income before festival expenses: Rs. 58,000
Festival expenses (equivalent to monthly basic salary): Rs. 55,000
Total monthly income including festival expenses: Rs. 113,000
Amount deducted for provident fund (10% of monthly income excluding allowance and festival expenses):
10% of (Rs. 55,000) = Rs. 5,500
Total monthly deduction for provident fund: Rs. 5,500
Taxable income:
Total monthly income including festival expenses - Total monthly deduction for provident fund = Rs. 107,500
To calculate the annual tax to be paid by Mira, we need to know the income tax rates and tax slabs applicable for the current financial year. Without this information, we cannot provide an accurate answer
Does anybody know the answer to this question?
Answers
The perimeter of isosceles triangle PRQ is 24.65 units.
The lengths of its three sides and add them up. We can use the distance formula to find the length of each side.
Distance formula: The distance d between two points (x1, y1) and (x2, y2) is given by:
d = [tex]sqrt((x2 - x1)^2 + (y2 - y1)^2)[/tex]
Using this formula, we can find the lengths of the sides PR, RQ, and PQ.
PR = [tex]sqrt((-1 - (-7))^2 + (4 - (-1))^2) = sqrt(36 + 25) = sqrt(61)[/tex]
RQ =[tex]sqrt((3 - (-1))^2 + (-1 - 4)^2) = sqrt(16 + 25) = sqrt(41)[/tex]
PQ = [tex]sqrt((3 - (-7))^2 + (-1 - (-1))^2) = sqrt(100) = 10[/tex]
Therefore, the perimeter of triangle PRQ is:
PR + RQ + PQ = [tex]sqrt(61) + sqrt(41) + 10 ≈ 24.65[/tex] (rounded to two decimal places)
So, the perimeter of triangle PRQ is approximately 24.65 units.
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How do I solve this challenging math problem?
Answers
Answer:
13/32
Step-by-step explanation:
You want the area of the shaded portion of the unit square shown.
CircumcenterPoints B, C, E are shown as equidistant from point F, so will lie on a circle centered at F. The center of that circle is at the point of coincidence of the perpendicular bisectors of BE, BC, and CE.
Without loss of generality, we can let line EF lie on the x-axis such that E is at the origin. Chord EB of the circle has a rise of 1/2 for a run of 1, so a slope of 1/2. Its midpoint is (1, 1/2)/2 = (1/2, 1/4). The perpendicular line through this point will have slope -2, so its equation can be written ...
y -1/4 = -2(x -1/2)
y = -2x +5/4
Then the x-intercept (point F) will have coordinates (0, 5/8):
0 = -2x +5/4 . . . . . y=0 on the x-axis
2x = 5/4
x = 5/8
TrapezoidTrapezoid EFCD will have upper base 5/8, lower base 1, and height 1/2. Its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(5/8 +1)(1/2) = (1/4)(13/8) = 13/32
The shaded area is 13/32.
__
Additional comment
The point-slope equation of a line through (h, k) with slope m is ...
y -k = m(x -h)
a student has to take 9 more courses before she can graduate. if none of the courses are prerequisites to others, how many groups of five courses can she select for the next semester?
Answers
The number of groups of five courses the student can select for the next semester is 126.
In order to answer this question, we must first determine how many courses the student has already taken. If the student has already taken 11 courses, then the total number of courses she needs to take is 9.
We can use the formula for combinations, nCr, to calculate the number of groups of five courses that she can select for the next semester. The formula is nCr=n!/(r!(n-r)!). In this case, n is the total number of courses (9) and r is the number of courses in each group (5).
Therefore, the number of groups of five courses the student can select for the next semester is 9C5, or 9!/[5!(9-5)!], which equals 126. This means the student can select 126 different groups of five courses for the next semester.
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In the SI system of units [International System of Units], the mole is one of seven base units. It is frequently used in chemical calculations. However, a mole of something is just a particular quantity of it. It is not a unit of measure in the way that meters, seconds, and kilograms are. Calculations performed with the number of moles of a substance could also be performed with the number of particles of a substance. Based on this information, do you think that the mole should be considered a base unit in the SI system? Explain why or why not.
Answers
The mole is currently considered a base unit in the SI system, but it was not always the case. Until 2019, it was defined as a derived unit, which was dependent on the kilogram, which is one of the seven SI base units. However, the mole was redefined in 2019 as an independent base unit, with a fixed value based on the Avogadro constant, which is a fundamental constant of nature.
The mole is a crucial unit in chemistry, as it provides a means to measure the amount of a substance on a molecular scale. It is a unit of measurement for the number of particles (such as atoms, molecules, or ions) in a given sample. Thus, the mole is not a unit of measure in the way that meters, seconds, and kilograms are. Instead, it is a measure of the number of particles present in a sample, and it is used to calculate other properties such as molar mass, molarity, and stoichiometry.
While calculations performed with the number of moles of a substance could also be performed with the number of particles of a substance, the mole is still considered a base unit in the SI system because it is a fundamental unit that provides a bridge between the macroscopic and microscopic worlds. It is an essential unit for chemists and physicists, and its inclusion as a base unit in the SI system reflects its importance in these fields.
In summary, while the mole is not a unit of measure in the same way as meters, seconds, and kilograms, it is still considered a base unit in the SI system because of its importance in chemistry and physics. Its inclusion as a base unit reflects its fundamental role in these fields, and its recent redefinition as an independent base unit highlights its significance as a measure of the number of particles in a sample.
what is the missing value in the following arithmetic sequence? n 1 2 3 4 5 an 2 3.8 5.6 9.2 7.1 7.2 7.4 7.5
Answers
The missing value in the arithmetic sequence is 11.
What is Arithmetic Sequence?
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
To find the missing value in the arithmetic sequence, we need to first determine the common difference between consecutive terms.
To do this, we can subtract any two consecutive terms, such as the second and first terms:
3.8 - 2 = 1.8
This tells us that the common difference is 1.8.
Now, we can use this common difference to find the missing value, which is the sixth term in the sequence. We can use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n - 1)d
where a_n is the nth term, a_1 is the first term, n is the position of the term we want to find, and d is the common difference.
Using this formula with a_1 = 2, d = 1.8, and n = 6, we get:
a_6 = 2 + (6 - 1)1.8
a_6 = 2 + 5(1.8)
a_6 = 2 + 9
a_6 = 11
Therefore, the missing value in the arithmetic sequence is 11.
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7234÷48 using long division
Answers
Answer:
Step-by-step explanation:
150.7083
y > -x- 2
y < -5x + 2
Identify a solution to the system
Answers
Move all terms not containing the variable from the center section of the inequality.
what maximum number of cumulative pass not advanced (pna) points can be applied to a candidates final multiple score
Answers
A candidate's final multiple score main answer can have a maximum of three cumulative Pass Not Advanced (PNA) points applied to it.
PNA points are a form of assessment for a candidate's answers to multiple-choice questions.
They are awarded when the candidate selects an answer that is not necessarily wrong, but does not go into sufficient depth or demonstrate the required level of understanding.
Each PNA point is worth a fraction of a mark, with a total of three PNA points making up one mark of the candidate's final multiple score main answer.
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I need help with this question
Answers
The function represents exponential decay with a rate of 4.98% per time unit.
Describe Exponential Function?An exponential function is a mathematical function of the form f(x) = a^x, where a is a positive constant (called the base) and x is a variable that can take on any real value. The exponent x determines how quickly the function grows or decays.
If a is greater than 1, the function represents exponential growth, since each increment of x leads to a proportionally greater increase in the function value. If a is between 0 and 1, the function represents exponential decay, since each increment of x leads to a proportionally smaller decrease in the function value.
For example, the function f(x) = 2^x represents exponential growth, since each time x increases by 1, the value of the function doubles. On the other hand, the function g(x) = (1/2)^x represents exponential decay, since each time x increases by 1, the value of the function is halved.
The given function is y = 990(0.95)ˣ.
We can determine whether the change represents growth or decay by looking at the base of the exponential term, which is 0.95. Since this value is between 0 and 1, we know that the function represents decay.
To determine the percentage rate of decrease, we can compare the value of the function at x=0 (the initial value) with the value of the function at x=1 (one time unit later).
When x=0, we have:
y = 990(0.95)⁰ = 990
When x=1, we have:
y = 990(0.95)¹ = 940.5
Therefore, the percentage rate of decrease is:
[(990-940.5)/990] x 100% = 4.98%
So the function represents exponential decay with a rate of 4.98% per time unit.
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What are domain restrictions of rational functions? What do domain restrictions
mean for the graph of a rational function?
Answers
The domain restrictions of a rational function occur whenever the denominator of the function is equal to zero, since division by zero is undefined. Therefore, the domain of a rational function is all real numbers except those values that make the denominator zero.
For example, consider the rational function f(x) = 1 / (x - 3). The denominator of this function is x - 3, so the function is undefined when x = 3. Therefore, the domain of f(x) is all real numbers except x = 3.
When a rational function has domain restrictions, this means that there are certain values of x for which the function does not exist. These values are excluded from the graph of the function, resulting in one or more vertical asymptotes. Vertical asymptotes are vertical lines that the graph of the function approaches but does not touch as x approaches a certain value.
For example, the graph of the function f(x) = 1 / (x - 3) has a vertical asymptote at x = 3, since the function is undefined at that point. As x approaches 3 from the left or the right, the function approaches positive or negative infinity, respectively. Therefore, the graph of f(x) has a vertical asymptote at x = 3.
in how many different ways can 11 men and 8 women be seated in a row if no 2 women are to sit together?
Answers
If no two ladies sit together, there are 13,228,800,000 distinct ways to arrange the 11 males and 8 women in a row.
If no 2 women can sit together, then we can think of the men and women as distinct blocks that must alternate. Since there are 11 men and 8 women, there must be 12 positions available for these blocks: M_W_M_W_M_W_M_W_M_W_M_W.
The first block can be filled In 11! Ways (11 men to choose from), the second block can be filled in 8! Ways (8 women to choose from), the third block can be filled in 10! Ways, the fourth block can be filled in 7! Ways, and so on. So the total number of ways to seat the group is:
11! * 8! * 10! * 7! * 9! * 6! * 8! * 5! * 7! * 4! * 6! * 3! * 5! * 2! * 4! * 1! * 3! * 2! * 1!
Simplifying this expression, we get:
(11! * 8! * 10! * 7! * 9! * 6! * 8! * 5! * 7! * 4! * 6! * 3! * 5! * 2! * 4! * 1! * 3! * 2! * 1!) =
(11! * 10! * 9! * 8! * 7! * 6! * 5! * 4! * 3! * 2! * 1!) * (8! * 7! * 6! * 5! * 4! * 3! * 2! * 1!) =
11! * 10! * 9! * 8! * 7! * 6! * 5! * 4! * 3! * 2! * 1! * 8! * 7! * 6! * 5! * 4! * 3! * 2! * 1! =
11! * 10! * 9! * 8! * 7! * 6! * 5! * 4! * 3! * 2! * 8! * 7! * 6! * 5! * 4! * 3! * 2!
= 11! * 10! * 9! * 8! * 7! * 6! * 5! * 4! * 3! * 2! * 8!^2 * 7!
We can evaluate this expression with a calculator to obtain:
(111098765432)(887654327) = 13,228,800,000
Therefore, there are 13,228,800,000 different ways to seat the 11 men and 8 women in a row if no 2 women are to sit together.
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A 6 cm by 10 cm rectangle is dilated by a factor of 3.
What is the area of the dilated rectangle?
*Show your work on the sketch pad
area =
Answers
Answer: 540 cm²
Step-by-step explanation:To find the area of the dilated rectangle, we need to first find the dimensions of the new rectangle after it has been dilated by a factor of 3.
The length of the new rectangle will be 3 times the original length, which is:
10 cm x 3 = 30 cm
The width of the new rectangle will also be 3 times the original width, which is:
6 cm x 3 = 18 cm
Therefore, the area of the dilated rectangle will be:
30 cm x 18 cm = 540 cm²
Victor made 50 ounces of trail mix for a camping trip he pours 12 ounces for one serving how many people can have fully serving?
Answers
Answer:
To find the number of people who can have a full serving of trail mix from 50 ounces, we need to divide the total amount of trail mix by the amount of trail mix per serving.
50 ounces of trail mix / 12 ounces per serving = 4.1667 servings
Since we can't have a fraction of a serving, we need to round down to the nearest whole number.
So, Victor can make 4 servings of trail mix from 50 ounces. Therefore, 4 people can have a full serving of trail mix.
the process mean can be adjusted through calibration. to what value should the mean be adjusted so that 99% of the cans will contain 12 oz or more?
Answers
The value of mean should be adjusted to 12 + 2.576σ so that 99% of the cans will contain 12 oz or more.
The process mean can be adjusted through calibration. The mean is a measure of central tendency in a dataset that represents the average value of a group of data. The population standard deviation is denoted by σ. The formula for the population mean is as follows: μ = (Σ xi) / n, where xi represents the data values and n represents the total number of data values.
Here we can use the formula of confidence interval as,μ±z σ/√n, Where μ is the mean, z is the z-score, σ is the standard deviation is the sample size. Given,The required confidence level is 99%. So,α = 1-0.99α = 0.01. We can find z from the z-score table at α/2 = 0.005 as, z = 2.576.
Now, we need to find out the value of μ when the mean will be 12 ounces so that 99% of cans will contain 12 ounces or more. So,μ ± z σ/√n = 12. We know that, P(X > 12) = 0.99. The formula for standardization is, Z = (X - μ) / σHere, X = 12, σ is given and we need to find the value of μ.z = (X - μ) / σ2.576 = (12 - μ) / σμ - 12 = 2.576 × σμ = 12 + 2.576 × σ.
Now, the value of μ should be adjusted to 12 + 2.576σ so that 99% of the cans will contain 12 oz or more.
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The angle of elevation to an airplane viewed from the air traffic control tower is 7 degrees. The tower is 200 feet tall, and the plane is at an altitude of 5127 feet. How far is the plane from the air traffic control tower?
Answers
The plane is approximately 44,197 feet away from the air traffic control tower.
What does elevation angle mean?An illustration of an angle of elevation
Between the horizontal line and the line of sight, an angle called the angle of elevation is created. When the line of sight is upward from the horizontal line, an angle of elevation is created.
Trigonometry can be used to resolve this issue. Let's illustrate:
P (plane)
/|
/ |
/ | h = altitude of plane = 5127 ft
/ |
/ θ |
T-----X
d = ?
In the illustration, T stands for the air traffic control tower, P for the aircraft, for the angle of elevation, X for the location on the ground directly beneath the aircraft, and d for the desired distance.
We can see that the tower, the spot on the ground just beneath the plane, and the actual plane itself make up the right triangle TPX. The triangle's opposite and adjacent sides can be related to the angle by using the tangent function:
tan θ = h / d
where d is the desired distance and h is the plane's altitude.
To find d, we can rearrange this equation as follows:
d = h / tan θ
Inputting the values provided yields:
d = 5127 feet / 7° of tan
Calculating the answer, we obtain:
d ≈ 44,197 ft
Thus, the distance between the aircraft and the air traffic control tower is 44,197 feet.
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8. how many cans of mandarin oranges are needed to serve a part of 200 people if each person is to receive a 3 ounce serving and each can weighs 5 pounds 10 oz ( 9 ounces of that as liquid which you will discard)?
Answers
8 Cans of mandarin oranges are needed to serve a part of 200 people if each person is to receive a 3-ounce serving and each can weights 5 pounds 10 oz (9 ounces of that as liquid which you will discard).
Given that each can of mandarin oranges weighs 5 pounds 10 oz (9 ounces of that as liquid which you will discard).We are to find out how many cans of mandarin oranges are needed to serve a part of 200 people if each person is to receive a 3-ounce serving.
Convert 3 ounces into pounds and ounces
3 ounces = 3/16 pound (1 pound = 16 ounces)
Amount of mandarin oranges required by one person = 3/16 pound
Amount of mandarin oranges required by 200 people = 200 * (3/16) pound
Amount of mandarin oranges required by 200 people = 37.5 pound
Convert the amount of mandarin oranges required into cans
Weight of one can of mandarin oranges = 5 pounds 10 oz = (5*16 + 10) ounce = 90 ounce
Weight of mandarin oranges only in one can = 90 ounce - 9 ounce = 81 ounce (9 ounce is liquid which you will discard)
Number of cans required = (total weight required) / (weight of one can)Number of cans required = (37.5 * 16) / 81 Number of cans required = 7.4 cans
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Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )
Answers
Answer: y = 17x + 114
Step-by-step explanation:
The equation for the slope-intercept form is y = mx + b.
Arrange the equation so that it resembles y = mx + b.
You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.
y + 5 = 17(x + 7)
y + 5 = 17x + 119
y + 5 - 5 = 17x + 119 - 5
y = 17x + 114
Answer:
Y = 17x + 114
Step-by-step explanation:
1. Y + 5 = 17 (x+7)
2. Y + 5 = 17x + 119 [Multiply the numbers in parenthesis by 17.]
3. Y = 17x + 114. [To keep the balance and move the 5 over, subtract it from 119.]
11+8p2q2−9pq−8−20p2q2+22pq
Answers
The expression given as 11 + 8p²q² - 9pq - 8 - 20p²q² + 22pq when simplified is 3 +13pq - 12p²q²
Simplifying the expressionGiven that
11 + 8p²q² - 9pq - 8 - 20p²q² + 22pq
The given expression 11 + 8p²q² - 9pq - 8 - 20p²q² + 22pq contains several terms with different variables and exponents.
To simplify the expression, we need to combine the like terms.
So, we have
11 + 8p²q² - 9pq - 8 - 20p²q² + 22pq = 11 - 9pq - 8 - 12p²q² + 22pq
Similarly, we can combine the other terms
So, we have
11 + 8p²q² - 9pq - 8 - 20p²q² + 22pq = 3 +13pq - 12p²q²
So, the solution is 3 +13pq - 12p²q²
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Alden created a box plot for the Calories in 11 different brands of soda
How do you think Alden collected the data for his box plot
Answers
Alden probably used the observational method to collect data for his box plot.
What is a case study?
A case study is an in-depth study on a particular topic collecting information in various ways in a real-world context. Using a range of data sources, a case study permits the analysis of a genuine topic within a specified framework. Here Alden is conducting his own case study on Calories in Sodas.
In a case study, data is collected through various methods including the observational method, survey method, interview, etc. The observational method is observing the event or stimulus in real time and recording of its data. Therefore, Alden could have employed the observational method by visiting a nearby store and reading and recording the various labels of sods for their data.
And so, Alden collected the data for his box plot using the observational method.
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I'm trying to help my brother and we both suck at this and can use some help lol
Answers
Answer: should be -6
Step-by-step explanation:
Set the expression to equal zero
z+6
Solve the equation
z+6+0
State the root
z+-6
is it possible to have a c2 strictly convex function on a compact domain that is not also strongly convex?
Answers
Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
Let's have a look at the following details of it.
Definition of a Strictly Convex Function:A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.
The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2
Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
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the following frequency distribution displays the weekly sales of a certain brand of television at an electronics store. number sold frequency 01-05 12 06-10 5 11-15 5 16-20 5 21-25 25 how many weeks of data are included in this frequency distribution?
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There are 52 weeks of data included in this frequency distribution.
The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store.
We need to find the number of weeks of data included in this frequency distribution.From the given data, we can see that the frequency column represents the number of televisions sold per week.
To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:12 + 5 + 5 + 5 + 25 = 52
Therefore, there are 52 weeks of data included in this frequency distribution.
The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store. We need to find the number of weeks of data included in this frequency distribution.
From the given data, we can see that the frequency column represents the number of televisions sold per week. To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:
12 + 5 + 5 + 5 + 25 = 52
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how do i solve this?
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The percentage of area under the density curve where x is less than 2 is 20%
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",
The area of the whole density curve is ;
A = 1/2 (a+b)h
This is because the curve takes the shape of a trapezium.
A = 1/2 ( 4+6) 0.2
A = 1/2 × 10 × 0.2
A = 5 × 0.2
A = 1
The area of the curve in region less than 2
= 1/2 bh
= 1/2 × 2 × 0.2
= 0.2
The percentage of the area less than 2 in the curve is
x/100 × 1 = 0.2
x = 0.2 × 100
x = 20%
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The number of shoes sold varies inversely with the price two thousand shoes can be sold at the price of $250
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The phrase "the number of shoes sold changes inversely with price" suggests that as the price of the shoes rises, so does the number of shoes sold, and vice versa.
We know that 2000 shoes can be sold for $250 in this circumstance. Using the inverse variation formula, we can write: k/Price = number of shoes sold where k is a proportionality constant. We may use the following information to calculate the value of k: 2000 = k/250 When we multiply both sides by 250, we get: k = 500000 In this case, the equation for the inverse variation is: Price/number of shoes sold = 500000 We may use this equation to compute the number of shoes sold at various prices. For instance, if the price is If the price is $300, the number of shoes sold is: The number of shoes sold is 500000/300, which is 1666.67. As a result, at a price of $300, about 1666.67 pairs of shoes would be sold.
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What is the relationship between the number of shoes sold and the price, given that the number of shoes sold varies inversely with the price? If 2,000 shoes are sold at a price of $250, what would be the price of the shoes if 3,000 shoes are sold?
How can I solve this? ASAP
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Answer:
544 in²
Step-by-step explanation:
Find the area of the rectangle, then the triangle, then add them together to get the total SA.
Rectangle = l x w = 10 x 14 = 140 in²
SA of the 2 rectangular sides = 140 x 2 = 280 in²
Triangle = 1/2bh = 1/2(12)(8) = 48²
SA of the 2 triangular ends = 2 x 48 = 96 in²
Rectangular base = 14 x 12 = 168 in²
Total SA = 280 + 96 + 168 = 544 in²