Answer:
75000000
Step-by-step explanation:
se multiplica
45×70= 3150 metros
luego multiplica
60×50= 3000 metros
luego se divide
78750000/ 3150 = 25000
y por último multiplica
25000×3000
conclusiones
el metro cuadrado de tierra vale 25000 por lo que los 3000 metros cuadrados que son del terreno de 60x50 estan valorados en 750000000
what is the image point (0,2) after a rotation of 90 degree counterclockwise about the origin
Answer:
I like to do mehndi is known as
.
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated
above. Find the probability that a male chosen at random watches comedy.
A. 2/15
B. 1/6
C. 1/3
D. 5/11
Answer:
C would be your answer. If im not mmistaken but im 99% sure
Step-by-step explanation:
Analyze the table below and complete the instructions that follow.
Sports
Drama
Comedy
Total
Male
8
2
5
15
Female
3
6
6
15
Total
11
8
11
30
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.
you buy 30 rolls of toilet paper for $.52 a roll
Answer:
The total price would be $15.60.
Step-by-step explanation:
30 rolls times $.52 equals 15.6, or 15 dollars and 60 cents.
Answer:
$15.60
Step-by-step explanation:
30 x .52
Determine sin(S) and sin(T).
R
12
5
13
T
Answer: sin S = 5/13, sin T = 12/13
Step-by-step explanation:
The value of the trigonometric expression sin(S) and sin(T) will be 5 / 13 and 12 / 13, respectively. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
sin (S) = TR / ST
sin (S) = 5 / 13
sin (T) = RS / ST
sin (T) = 12 / 13
The value of the trigonometric expression sin(S) and sin(T) will be 5 / 13 and 12 / 13, respectively. Then the correct option is B.
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Angle A and angle B are complementary, and their measures
have a difference of 20°. What are the measures of the angles?
Answer:
35° and 55°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x and the other x + 20 , then
x + x + 20 = 90
2x + 20 = 90 ( subtract 20 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35°°
x + 20 = 35 + 20 = 55
The 2 angles are 35° and 55°
HELP!!! answer quickly pls
Answer:
the first option
Step-by-step explanation:
hope it helps!!!
Answer:
it is y=2x+5 because replacing a point such as (-2;1) the remaining equation is 1=1, which is right
Step-by-step explanation:
two identical rectangles link at one corner at drawn on the coordinates axes
Give the coordinates for point a and b
Answer:
I believe it is A: (10,10) and B: (18, 14)
The coordinates for points a and b are; A: (10,10) and B: (18, 14)
How can we perceive the cartesian coordinate plane?The cartesian coordinate plane is an infinite 2-dimensional plane. Any 2-dimensional figure can be drawn on an infinite 2d plane. Each of the points of a cartesian plane is tracked by a location.
We have been given two identical rectangles linked at one corner at drawn on the coordinates axes.
Given points of a rectangular box are
(2, 6) ( 10, 6) and (10, 14)
The coordinates for points a and b are;
A: (10,10)
B: (18, 14)
The coordinates for points a and b will be; A: (10,10) and B: (18, 14)
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suppose after graduating from msba, you work for a survey research company. in a typical survey, you mail questionnaires to 150 companies. some of these companies might decide not to respond. assume that the nonresponse rate is 45%; that is, each company's probability of not responding, independently of the others, is 0.45.
The expected number of companies that might not respond is 67.5.
Based on the given information, we can model the nonresponse rate using a binomial distribution. Let's define the following variables:
n = Number of questionnaires mailed = 150
p = Probability of not responding = 0.45
To determine the number of companies that might not respond, we can calculate the probability of different scenarios using the binomial distribution formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
X represents the number of companies that do not respond.
k represents the number of companies that do not respond.
C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
To find the probability of a specific number of companies not responding, we substitute the values of n, p, and k into the formula.
For example, to find the probability that exactly 70 companies do not respond, we can calculate:
P(X = 70) = C(150, 70) * 0.45^70 * (1 - 0.45)^(150 - 70)
To find the expected number of nonresponses, we can use the formula:
E(X) = n * p
In this case:
E(X) = 150 * 0.45
So the expected number of companies that might not respond is 67.5.
Note: The binomial distribution assumes independent and identically distributed trials, so it is important to ensure that the assumption holds in the given scenario.
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Find log0. 79 rounded to the nearest tenth. If necessary, include a leading 0 with any decimals less than 1
The logarithm of 0.79 is approximately -0.1 when rounded to the nearest tenth. Since the answer is less than 1, we need to include a leading 0. Therefore, the final answer is -0.1, rounded to the nearest tenth.
The logarithm of 0.79 is approximately -0.1046 when calculated more precisely. However, when rounded to the nearest tenth, the result becomes -0.1. In logarithmic notation, the leading zero is necessary to indicate that the value is between 0 and 1.
Logarithms are a way to express the exponent to which a base must be raised to obtain a given number. In this case, we are finding the logarithm of 0.79 to the base 10. Since 0.79 is a decimal less than 1, the logarithm will be negative. Rounding the result to the nearest tenth gives us -0.1.
It's important to note that logarithms are mathematical tools used in various fields, such as science, engineering, and finance, to simplify calculations and analyze data. The rounded value of -0.1 represents an approximation of the logarithm of 0.79, which can be useful in practical applications where a more precise value is not necessary.
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A cubic polynomial function f is defined by. 3. 2. ( ) 4. f x x ax bx k where a, b, and k are constants
In a cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants and has a local minimum at x = -2 and a local maximum at x = 0, then values of a and b is 12 and 0 respectively. If integrate of f(x)dx = 32 from 0 to 1, then value of k is 27.
The given cubic polynomial function is
f(x) = 4x³ + ax² + bx + k
f'(x) = 12x² + 2ax + b
f''(x) = 24x + 2a
At local maximum f' = 0
f'(0) = 12×(0)² + 2a×(0) + b = 0
b = 0
At local minimum, f' = 0
That is f'(-2) = 0 and f''(-2) > 0
f'(-2) = 12×(-2)² + 2a×(-2) + b = 0
48 - 4a + b = 0
4a - b = 48
a = 12
Therefore, f(x) = 4x³ + 12x² + k
Integrate f(x)dx = 32 from 0 to 1, that is
∫₀¹ f(x)dx = 32
∫₀¹ (4x³ + 12x² + k) dx = 32
[ x⁴ + 4x³ + kx ]₀¹ = 32
(1⁴ - 0⁴) + 4(1³ - 0³) + k(1 - 0) = 32
1 + 4 + k = 32
k = 27
-- The question is incomplete, answering to the question below--
"A cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants. The function f has a local minimum at x = -2 and a local maximum at x = 0.
A. Find the values of a and b
B. If you integrate f(x)dx = 32 from 0 to 1, what is the value of k?"
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Evaluate each function.
w(a)= a + 4; Find w(1)
Answer: 5
because w(a) = a + 4
=> w(1) = 1+ 4 = 5
Step-by-step explanation:
Answer: w(a)=5
Step-by-step explanation:
w(a)= a + 4
sub 1 for a.
w(1)= 1 + 4
w(1)= 5
A rectangle has a length of 12 cm and a diagonal of 13 cm. What is the width? *Hint: Draw a picture
Answer:
width = 5cm
Step-by-step explanation:
hope it helps
The length of a dog on a scale drawing is 6 cm. If the scale is 1 cm : 7 cm, what is the actual length of the dog? (A) 15 cm (B) 30 cm (C) 42 cm (D) 108 cm
Answer: (C) 42 cm
Work Shown:
(length on paper)/(real length) = (length on paper)/(real length)
(1 cm)/(7 cm) = (6 cm)/(x cm)
1/7 = 6/x
1*x = 7*6
x = 42
The actual length of the dog is 42 cm.
whats the square root of 19
25 points and branist for the first person to answer right =))
Answer:
4.4 otherwise that there isn't one
Answer:
4.35889894354
Consider the economy whose data appear in the table below. Working-age population 100,000 Labor force 60,000 Unemployed 12,000 Instructions: Round your answers to one decimal place.
a. The unemployment rate is ___%.
b. The labor-force participation rate is ___ %.
a. The unemployment rate is 20%.
b. The labor-force participation rate is 60%.
According to the question,
Working age population- 100,000
Labour force - 60,000
Unemployed - 12000 instructions
a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:
Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100
When an unemployed population is 12,000 and the labor force is 60,000,
the unemployment rate is = \(\frac{12000}{60000}\) × 100 = 20%
b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:
Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100
When the labor force is 60,000 and the working-age population is 100,000
Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%
So, a. The unemployment rate is 20%.
b. The labor-force participation rate is 60 %.
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The graph shows the total points earned for several pairs of shoes. The initial number of points earned when signing up is ________. The number of points earned per pair of shoes purchased is _________.
The initial number of points earned when signing up is 30 and earned per pair of shoes purchased is 15.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)
Let 'x' be the number of shoes purchased and 'y' be the total points earned.
From the graph, the two points are (2, 60) and (4, 90). Then the equation is given as,
\(\rm (y - 60) = \left (\dfrac{90 - 60}{4 - 2} \right) (x - 2)\)
y - 60 = 15(x - 2)
y - 60 = 15x - 30
y = 15x + 30
The initial number of points earned when signing up is 30 and earned per pair of shoes purchased is 15.
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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.
What is a box plot?A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.
Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.
In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.
Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.
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Find the real zero of w (x) =2x^2+10x+13
we have the quadratic equation
w (x) =2x^2+10x+13
Solve the equation using the formula
so
a=2
b=10
c=13
substitute
\(w=\frac{-10\pm\sqrt[]{10^2-4(2)(13)}}{2(2)}\)\(w=\frac{-10\pm\sqrt[]{-4}}{4}\)\(\begin{gathered} w=\frac{-10\pm2i}{4} \\ w=-2.5\pm0.50i \end{gathered}\)The given equation don't have real zeros
The solutions are complex numbers
insert the missing number: 6 17 37 10 10 25 12 32 ?
The missing number in 6 17 37 10 10 25 12 32 ? is 37.
Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:
6 17 37 10 10 25 12 32 ?
By examining the sequence, we can identify the following pattern:
The first number, 6, increases by 11 to become 17.
The second number, 17, increases by 20 to become 37.
The third number, 37, increases by 27 to become 64.
At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:
The fourth number, 10, decreases by 6 to become 4.
The fifth number, 10, decreases by 1 to become 9.
The sixth number, 25, increases by 3 to become 28.
The seventh number, 12, decreases by 4 to become 8.
The eighth number, 32, increases by 5 to become 37.
Therefore, the missing number in the sequence is 37.
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What is the slope of the line?
Question 4 (1 point ) Tell whether the sequence is arithmetic. If it is, what is the common difference? 2,7,13,20,dots
a yes; 5
b yes; 6 c yes; 2 d no
The sequence is arithmetic. The common difference is 6. Answer: b
If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ... to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.
The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.
Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7
Therefore, the common difference d is 6.
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2. (15 points) For each of the following series, determine whether or not the series convergess. Show all of your work, and justify all of your conclusions 212 5 (1) -1)+(In(n)
The series ∑(−1)^(n+1) (ln(n)/(n+1)) diverges.
We can use the integral test to determine whether the series converges or diverges. The integral test states that if f(x) is a positive, continuous, and decreasing function for x ≥ N and if the terms of the series a_n are also positive, then the series ∑a_n and the integral ∫N^∞ f(x) dx either both converge or both diverge.
Let's apply the integral test to the series ∑(−1)^(n+1) (ln(n)/(n+1)):
f(x) = ln(x)/(x+1)
f'(x) = (1-ln(x))/(x+1)^2
Since f'(x) is negative for x ≥ 3, f(x) is decreasing for x ≥ 3. Therefore, we can use the integral test with N = 3:
∫3^∞ ln(x)/(x+1) dx = [ln(x)^2/2]_3^∞ = ∞
Since the integral diverges, the series ∑(−1)^(n+1) (ln(n)/(n+1)) also diverges by the integral test.
Therefore, the series ∑(−1)^(n+1) (ln(n)/(n+1)) diverges.
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The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use numerals instead of words.
Given :
The square of a number, x, is 16 less than eight times the number.
To Find :
The value of x .
Solution :
The mathematical equation with all given data is :
\(x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4\)
Therefore , the value of x is 4 .
Hence , this is the required solution .
The number is 4.
Given that,
The equation is \(x^2 = 8x - 16\)Based on the above information, the calculation is as follows:
\(x^2 = 8x - 16\\\\x^2 - 8x + 16 = 0\\\\x^2 -4x - 4x + 16 = 0\\\\x (x - 4) - 4(x - 4) = 0\\\\(x - 4)^2 = 0\\\\x = 4\)
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Let z=x+iy. By maximum modulus principle, find the maximum value
of 2i(z^2)+3 on |z| less than or equal to 1.
(Please show all steps).
By applying the maximum modulus principle, we found that the maximum value of 2i(z²) + 3 on the set of complex numbers whose modulus is less than or equal to 1 is √13.
Let's start by expressing the given function in terms of z. We have:
f(z) = 2i(z²) + 3
Now, let's consider the modulus of f(z):
|f(z)| = |2i(z²) + 3|
According to the maximum modulus principle, the maximum value of |f(z)| occurs on the boundary of the given domain, which is the circle of radius 1 centered at the origin in the complex plane.
In order to find the maximum value, we need to evaluate |f(z)| on the boundary of the circle |z| = 1.
Let's substitute z = 1 into f(z):
f(1) = 2i(1²) + 3
= 2i + 3
Taking the modulus of f(1):
|f(1)| = |2i + 3|
To find the maximum value, we need to determine the magnitude of the complex number 2i + 3. The modulus (or magnitude) of a complex number a + bi, denoted as |a + bi|, is given by:
|a + bi| = √(a² + b²)
For the complex number 2i + 3, we have:
|2i + 3| = √(2² + 3²)
= √(4 + 9)
= √13
Therefore, the maximum value of |f(z)| occurs at |z| = 1 and is equal to √13.
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the scale on a map is 1:10 000
a) two towns are 17km apart
how far apart would the be on the map?
give your answers in centimeters.
b) the viewpoint and the pier are 7.1cm apart on the map.
how far apart would they be in real life?
give your answers in kilometers.
I will give 30 points
Jane walks one mile from her house to her grandparents' house. Then she returns home, walking with her grandfather. Her return rate is 70% of her normal walking rate. Let r represent her normal walking rate. Write an expression of the amount of time Jane spends walking.
A. 1/r + 1/0.7r
B. 1/r + 1/70r
C. 1.7r
Answer:
1.7r
Step-by-step explanation:
Solve using the Elimination Method
x - 2y = 4
3x + 4y = 2
Answer: x=2, y=-1
Step-by-step explanation:
Step 1) Make both equations have the same coefficient
What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.
\((2)x - (2)2y = (2)4\\2x-4y=8\)
Step 2) Add the equations together to eliminate y
\(2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10\)
Step 3) Solve for x
\(\frac{5x}{5} =\frac{10}{5} \\x=2\)
Step 4) Sub the value of x into an equation and solve for y
\(x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1\)
anyone know this trig question?
Answer: 23.8
Step-by-step explanation:
Since sine= opp/hyp we can use the given info to establish
sin39=15/x
x=23.8
Answer:
d) x≈23.8
Step-by-step explanation:
sin 39 = 15/x multiply by x each side
x sin 39 = 15 divide by sin39
x = 15/sin 39
x = 23.84
x≈23.8
Given that ABCD is a parallelogram and AB is parallel to CD, which of the following statements is false? (1 point)
Sides AB and CD are congruent.
O Angles A and C are congruent.
It
O AD is parallel to BC
Ite
O Angles A and B are congruent.
Ite
Answer:
The correct option is;
Angle A and B are congruent
Step-by-step explanation:
The given parameters are;
Quadrilateral ABCD = Parallelogram
Side AB is parallel to CD
Therefore, we have for properties of a parallelogram
Opposite sides are parallel
Therefore, AB and CD are opposite sides
Opposite sides are congruent
Opposite angles are congruent, therefore ∠A and ∠C are congruent and ∠B and ∠D are congruent (depending on the orientation of side CD)
Consecutive angles are supplementary, therefore, ∠A and ∠B are supplementary angles and ∠C and ∠D are supplementary angles
Therefore, the statement which is false is Angle ∠A and ∠B are congruent.
Use elimination to solve for x and y:
- 2x - y = 9
2x - 9y = 1
Answer:
x=-4, y=-1
Step-by-step explanation:
Given the following system of equations, solve the system using elimination.
\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)
(1) - Add the equations together
\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)
Notice how the x term was eliminated, hence the name for this method is "elimination."
(2) - Take the value we just found for y and plug it into either of the two equations and solve for x
\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)
(3) - Thus, the system is solved. When x=-4, y=-1.