80 shoppers in the dairy section at random is a biased sample (d).
To estimate the number of people who buy milk in a grocery store, we need an unbiased sample that represents the entire population. The options provided are 70 shoppers at random as they leave the store, 8 shoppers as they enter the store, 60 women with children at random, and 80 shoppers in the dairy section at random.
The most unbiased sample is selecting 80 shoppers in the dairy section at random because the dairy section is where people are most likely to buy milk, and selecting a random sample of shoppers in that section ensures that we are not introducing any biases.
The other options may introduce biases since they are not necessarily representative of the entire population of shoppers in the store. Therefore, selecting 80 shoppers in the dairy section at random provides the most unbiased estimate of the number of people who buy milk in the grocery store. So d is correct option.
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a) [x] = [y] = [z] = 1.0 m
When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.
Therefore the answer is c) reaction is at equilibrium.
Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.
It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.
When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.
--The question is incomplete, answering to the question below--
"In which direction will the net reaction proceed.
X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k
for each of these sets of initial conditions?
A) [X] = [Y] = [Z] = 1.0 M
[a] net reaction goes to the left [this one?]
[b] net reaction goes to the right
[c] reaction is at equilibrium"
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Pls answer due tomorrow in the morning. Jonathan's aquarium
holds about 20 gallons of water. If he fills the aquarium at a rate of two gallons per minute, how many milliliters of water are going into the aquarium every second?
Jonathan's aquarium holds 20 gallons of water, which is equivalent to 75708.8 milliliters. If he fills the aquarium at a rate of two gallons per minute, he is adding 7.57 liters (7570 milliliters) of water per minute. To find out how many milliliters of water are going into the aquarium every second, we can divide this value by 60 Therefore, the rate of water going into the aquarium is approximately 126.2 milliliters per second.
To find the milliliters of water going into the aquarium every second, follow these steps:
1. Determine the total amount of water added per minute: Jonathan fills the aquarium at a rate of 2 gallons per minute.
2. Convert gallons per minute to milliliters per minute: 1 gallon = 3,785.41 milliliters. So, 2 gallons per minute = 2 x 3,785.41 milliliters = 7,570.82 milliliters per minute.
3. Convert milliliters per minute to milliliters per second: 1 minute = 60 seconds. So, 7,570.82 milliliters per minute ÷ 60 seconds = 126.18 milliliters per second.
Therefore, 126.18 milliliters of water are going into Jonathan's aquarium every second.
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The volume of the figure is about...(whole number as needed).
Answer:
1,590.7 cm^3
Step-by-step explanation:
First, separate this shape into two smaller shapes you can easily find the volume of. In this example, you can separate this figure into a cone and a half-sphere.
Find the volume of the cone using the formula: V=πr^2(h/3). The radius is 7 because 14cm is the diameter, and 17cm is the height. When you solve, you get 872.32 for the volume of this cone.
Then, find the volume of the half-sphere. The volume of a sphere can be found with the formula: V=4/3πr^3. The radius is, again, 7. Now divide this value in half because you only want to find the volume of a half-sphere. You should get 718.38 cm.
Now add the two volumes together to get 1,590.7 cubed centimeters.
Step-by-step explanation:
volume of hemisphere
given
r=d/2=14/2=7cm
V=2/3πr^3
V=2/3×π×7^3
V=2/3×π×343cm^3
V=2/3×1077.56
V=718.37cm^3
volume of cone
given
r=7cm
h=17cm
V=πr^2×h/3
V=π×7^2×17cm/3
V=π×49cm^2×17cm/3
V=π×833cm^3/3
V=2616.94/3
V=872.31cm^3
Total volume=718.37cm^3+872.31cm^3
=1590.68cm^3
Quicksort
numbers \( =(56,25,26,28,81,93,92,85,99,87) \) Partition(numbers, 5, 9) is called. Assume quicksort always chooses the element at the midpoint as the pivot. What is the pivot? What is the low partitio
When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).
When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot. The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.
After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.
In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.
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the measure of AOC is 90 find the value of x, A 30 B 10 C 11
10
Step-by-step explanation:
3x° + 46° +14°
3*10° + 46 + 14° =90
therefore the value of x is 10
The value of x on the given figure is 10.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
3x + 46 + 14 = 90
Now,
Simplifying.
3x + 60 = 90
Subtracting 60 on both sides.
3x = 90 - 60
3x = 30
Dividing 3 into both sides.
x = 10
Thus,
The value of x on the given figure is 10.
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The complete question is given on the attach image.
8^(x-3)=16^(3x+1) solve
Answer:
x = -13/9
Step-by-step explanation:
Solve for x over the real numbers:
8^(x - 3) = 16^(3 x + 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
3 log(2) (x - 3) = 4 log(2) (3 x + 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(2):
3 (x - 3) = 4 (3 x + 1)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3 x - 9 = 4 (3 x + 1)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
3 x - 9 = 12 x + 4
Hint: | Isolate x to the left hand side.
Subtract 12 x - 9 from both sides:
-9 x = 13
Hint: | Solve for x.
Divide both sides by -9:
Answer: x = -13/9
PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 6
Options: 100
120
30
60
30 degrees
Measure of the angle of 6 is 30 degrees
Answer:
30 degrees
Step-by-step explanation:
because 60 degrees is already there and 120 is angled the opposite way, and 100 degrees is a little farther than 90.
In the diagram below, isosceles triangle ABC is drawn with AB is congruent AC and side BC extended through point D. If
m/ACB=2x+16 and m angle ACD=5x+24, find the measure of angle A.
Answer:
32°
Step-by-step explanation:
Angle A + angle B = angle ACD
Since it is an isosceles triangle angle a = angel b
2(2x + 16) = 5x +24 distribute the 2
4x + 32 = 5x + 24 Subtract 4x from both sides
32 = x + 24 Subtract 24 from both sides
8 = x
Now plug in 8 for x in 2x + 16
2(8) + 16
16+ 16 = 32
which is not an assumption of the linear regression model? question 13 options: 1) the relationship between y and x is linear 2) the y data is auto-correlated 3) the y populations all have equal variance 4) data is normally distributed around the regression line
The linear regression model assumes that the relationship between y and x is linear, that the y data is not auto-correlated. So option 3 is not an assumption of linear regression model, "the y populations all have equal variance".
Linear regression assumes that there is a linear relationship between the dependent variable (y) and the independent variable(s) (x). It also assumes that the y populations have equal variances and that the data is normally distributed around the regression line. However, auto-correlation refers to the correlation of a variable with itself over time, which is not a requirement of the linear regression model.
Auto-correlation can occur when there is a time-series or longitudinal data, where measurements are taken at different time points. In such cases, special models such as autoregressive integrated moving average (ARIMA) or mixed-effects models may be used to address the issue of auto-correlation.
Therefore, option 3 is not an assumption of linear regression model, "the y populations all have equal variance".
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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. what is the margin of error, assuming a 90% confidence level? round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
0.3
A. greater than 0.3
The Margin of error is 0.3 when assuming a 90% confidence level.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
MOE = z score * s/√n
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
here, we have,
It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.
It is required to find the margin of error when the confidence level is 90%.
We have in the question:
at 90% confidence interval = 1.645 (From the Z score table)
s = 2.9
n = 320
Put the above values in the formula, we get:
MOE = 0.2666
Rounding the nearest tenth:
MOE = 0.3
Thus, The Margin of error is 0.3 when assuming a 90% confidence level.
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a brick gently drops from the top of a building. as it falls, it passes a 1.5 meter tall window in just 0.22 seconds. determine the distance between the top of this window and where the brick started to fall.
The brick dropped roughly 1.068 meters before it passed the 1.5-meter-high window. There are roughly 0.532 meters between the top of the window and where the fall will begin (1.5 - 1.068).
The distance the brick traveled before it passed the 1.5-meter-high window can be calculated using the following formula for distance as a function of time under constant acceleration:
\(d = v_0t + (1/2)at^2\)
where t is the time it took the brick to fall 1.5 meters (0.22 seconds), d is the distance traveled, v 0 is the initial velocity (which is believed to be 0 m/s since it was dropped), and an is the acceleration brought on by gravity (9.8 m/s2).
Substituting the known values into the equation, we get:
1.5 = 0 * 0.22 + (1/2)(9.8)(0.22^2)
1.5 = 0.22 * 4.9
1.5 = 1.068
So the distance fallen before the brick passed the 1.5-meter tall window is approximately 1.068 meters. Therefore, the distance between the top of the window and the starting point of the fall is approximately 0.532 meters (1.5 - 1.068).
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Help please answer fast!!!
Answer: -3.5
Step-by-step explanation:
tell if im wrong
Answer:it would be 7.5
Step-by-step explanation:-2.5 + 2.5 = 0 0+2.5=2.5 2.5+2.5=4.5 so it would be 2.5+2.5+2.5=7.5
solve the equation.
1/2x^2=32
Answer:
x = ± 8
Step-by-step explanation:
\(\dfrac{1}{2}x^{2}=32\)
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
For each rational function, find any points of discontinuity.
y=2x-1 / x²+4
In rational functions, the discontinuities are caused by the denominator terms. Since the denominator of a fraction is non-zero, any term multiplied by the denominator is also non-zero.
To find the discontinuities, we need to factor the polynomial below. Once we have the two binomials, we set each to 0. This way, you can find the value that produces 0 in the denominator.
If x = -2 then (x^2) + 4 is 0.
So, the discontinuities are shown as x = -2
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The area of a circle is 4π cm². What is the circumference, in centimeters? Express your answer in terms of π pie
Answer:
The formula for the area of a circle is:
A = πr^2
where A is the area and r is the radius.
In this case, we are given that the area is 4π cm². Solving for the radius, we get:
4π = πr^2
r^2 = 4
r = 2
So the radius of the circle is 2 cm.
The formula for the circumference of a circle is:
C = 2πr
Plugging in the value for the radius, we get:
C = 2π(2) = 4π
Therefore, the circumference of the circle is 4π cm.
What is the product?
Answer:
\(21x^{7}y^{11}\)
Step-by-step explanation:
Remove the parentheses and take out the constansts.
\((7 x 3) x^{2} x^{5} y^{3} y^{8}\)
Simplify 7 x 3 to 21.
\(21x^{2} x^{5} y^{3} y^{8}\)
Use the product rule: \(x^{a} x^{b} = x^{a + b}\)
\(21x^{2 + 5}y^{3+8}\)
Simplify 2+5 to 7.
\(21x^{7}y^{3+8}\)
Simplfiy 3 + 8 to 11.
\(21x^{7}y^{11}\)
I would appreciate any help for this question
The equation of the parabola is y = -2x² + 9x + 5.
What is the question of the parabola?To find the quadratic function that includes the set of values given, we need to solve for the coefficients of the quadratic equation in the standard form of y = ax² + bx + c, where a, b, and c are constants.
Substituting the values of the points (0, 5), (2, 15), and (4, 9) into the quadratic equation, we get a system of three equations:
For (0, 5):
5 = a(0)² + b(0) + c
5 = c
For (2, 15):
15 = a(2)² + b(2) + c
15 = 4a + 2b + 5
For (4, 9):
9 = a(4)² + b(4) + c
9 = 16a + 4b + 5
Now, we can solve the system of equations for a and b:
4a + 2b = 10
16a + 4b = 4
Multiplying the first equation by 2 and subtracting it from the second equation, we get:
16a + 4b - 8a - 4b = 4 - 20
8a = -16
a = -2
Substituting a = -2 into the first equation, we get:
4(-2) + 2b = 10
2b = 18
b = 9
Therefore, the quadratic function that includes the set of values (0, 5), (2, 15), and (4, 9) is:
y = -2x² + 9x + 5
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The complete question is below:
Find the quadratic function that includes the set of values below:
(0, 5), (2, 15), (4, 9).
The equation of the parabola is y = ?
Find the component form of the resultant vector.
9) u = (-5, -2)
b =(3, 1)
Find: -u + b
Pls hurryyyyy
Answer:
the component form of the resultant vector is (-2, -1).
Step-by-step explanation:
To find the component form of the resultant vector, we need to add the corresponding components of the two input vectors. In this case, the x-component of the resultant vector is equal to the x-component of vector b minus the x-component of vector u, and the y-component of the resultant vector is equal to the y-component of vector b minus the y-component of vector u.
We can therefore write the component form of the resultant vector as follows:
-u + b = (-u_x + b_x, -u_y + b_y) = (-5 + 3, -2 + 1) = (-2, -1)
therefore, the component form of the resultant vector is (-2, -1).
Help asp 50 points
The graph represents a quadratic function write an equation of the function in standard form
Answer:
\(f(x)=-x^2 + 11x - 24\)
Step-by-step explanation:
Well for this problem, you want to start off by writing it in factored form.
In factored form, you can represent a quadratic as: \(f(x)=a(x-b)(x-c)\), where x=b, and x=c are zeroes of the function, since plugging them into the function makes one of the factors zero, and multiplying zero by the other factors will just give you zero.
The "a" in front of the two factors generally defines the stretch/compression of the function.
So let's start by plugging in the zeroes into the function, and then we can solve for "a" later: \(f(x) = a(x-3)(x-8)\)
Now let's use one point on the graph, which is not a root/zero to solve for "a". It's important to not use a zero/root since if we use that point the entire thing will be zero regardless of the value of "a"
Luckily we have one point provided that is not a zero and is: (4, 4)
So let's plug it in: \(4=a(4-3)(4-8)\\4=a(1)(-4)\\4=-4a\\a=-1\)
So now let's plug this into the factored form to get: \(f(x)=-(x-3)(x-8)\)
using foil to multiply these two factors you get: -[x^2 -8x - 3x + 24]
Now combine like terms
-[x^2 - 11x + 24]
distribute the negative sign
-x^2 + 11x - 24
\( \large \bf \implies{y = { - x}^{2} + 11x - 24}\)
Step-by-step explanation:Let standard form of quadratic equation be
y = ax² + bx + cIf passes through (3,0) , (8,0) and (4,4)
a(3)² + b(3) + c9a + 3b + c = 0 ... (1)a(8)² + 8b + c = 064a + 8b + c = 0 ... (2)4 = a(4)² + b(4) + c16a + 4b + c = 4 ... (3)(2) - (1)64a + 8b + c - 9a - 3b - c = 0 - 055a + 5b = 0 => 55a = -5bb = -11a ... (4)(3) - (2)16a + 4b + c - 64a - 8b - c = 4 - 0-48a - 4b = 4-48a - 4(-11a) = 4 (from 4)-48a + 44a = 4 => -4a = 4 => a = -1b = -11x(-11) = 119a + 3b + c = 09(-1) + 3(11) + c = 0-9 + 33 + c = 024 + c = 0c = 0 - 24c = -24Therefore, Standard form of quadratic equation y = -x² + 11x -24Use number properties to simplify the following expression.
-5+ (5+3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
A.)23
B.)60
C.)53
D.)30
Answer:
ABC = 30
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+14 + x+7 = 90
Combine like terms
3x+21 = 90
Subtract 21 from each side
3x+21-21 = 90-21
3x = 69
Divide by 3
3x/3 = 69/3
x = 23
ABC = x+7 = 23+7 = 30
Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5
. Justify your answer.
The given function, f(x) = x + 4 is increasing on the entire interval of 2≤x≤5
Determining if a function is increasing or decreasing on the intervalFrom the question, we are to determine if the given function is increasing or decreasing over the given interval
The given function is
f(x) = x + 4
To determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5, we need to look at the sign of the first derivative of the function on that interval.
The first derivative of the function is
f'(x) = 1
Which is always positive
This means that the function is increasing on the entire interval of 2≤x≤5.
To justify this, we can also look at the graph of the function, which is a straight line with a positive slope. Any line with a positive slope is always increasing, so this confirms our conclusion that the function is increasing on the given interval.
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Answer all sub-questions:
a) Compare and contrast the "Monte Carlo" and "Historical" simulation as tools for measuring the risk. [11 grades]
b) Why in risk analysis the right choice of the probability distribution that describes the risk factor's values it is of paramount importance? Discuss [11 grades] [11 grades]
c) Describe how statistics are used in risk management.
Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.
a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\
b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.
c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.
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geometry circle worksheet 3
From the diagram given
1. Inscribed angle of the circle
2. AC is a tangent to the circle
3. HI is a chord of the circle
4. L is the center of the circle
5. GEH is a major arc
6. HL is the radius of the circle
7. central angle
8. central angle
9. BD is a secant
10. GHI is a semi-circle
Which exponential expression is equivalent to
Answer:
\(\bold{\big {2}^\frac27}\)
Step-by-step explanation:
\((\sqrt[7]2\,)^2=\left(\big2^\frac17\right)^2=\big2^{\frac17\cdot2}=\big2^{\frac27}\)
Which of the following does NOT represent this decimal?
0.004?
A. four thousandths
B. 4/1,000
C. four tenths
D. 1/250
Answer:
c four tenths
Step-by-step explanation:
tenths are the first space after the decimal.
option C does not represent the decimal 0.004
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Decimal number is 0.004
zero point zero zero four.
We need to find the following does NOT represent this decimal
A. four thousandths
4/1000=0.004
B. 4/1,000
0.004
c. four tenths
4/10=0.4
D. 1/250=0.004
Hence, option C does not represent the decimal 0.004
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You are 14.2 meters from the center of town, at an angle of 190
∘
North of East (that is, 190
∘
as measured from the +x-axis, as usual). i. How far East (+x) of the town center are you? ii. How far North (+y) of the town center are you? (b) You are 12.00 m to the North (+y) of and −5.00 m to the East (+x) of the center. of town. i. How far are you from the center of town, and ii. at what angle? (c) You are standing 44.0 meters from the center of town, at an angle of 23
∘
North of East (angle measured counter-clockwise from the +x axis). From there, you walk 30.0 meters at an angle of 160
∘
North of East. i. How far are you from the center of town, and ii. at what angle? (d) You are standing 22.0 meters from the center of town, at an angle of 123
∘
North of East. You walk in a straight line to a spot that is 40.0 meters from and directly West (−x) of the center of town. i. How far and ii. in what direction did you walk?
(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.
(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.
(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.
(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).
(a) Given:
Distance from the center of town = 14.2 meters
Angle North of East = 190°
(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:
Distance East = Distance from center * cos(Angle)
Distance East = 14.2 * cos(190°) ≈ -11.79 meters
(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:
Distance North = Distance from center * sin(Angle)
Distance North = 14.2 * sin(190°) ≈ -2.98 meters
Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.
(b) Given:
Distance North (+y) of the center = 12.00 meters
Distance East (+x) of the center = -5.00 meters
(i) To find the distance from the center of town, we can use the Pythagorean theorem:
Distance from center = √((Distance North)² + (Distance East)²)
Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters
(ii) To find the angle, we can use trigonometry. The angle is given by:
Angle = atan(Distance North / Distance East)
Angle = atan(12.00 / -5.00) ≈ -67.38°
Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.
(c) Given:
Distance from the center of town = 44.0 meters
Angle North of East = 23°
Distance walked = 30.0 meters
Angle of walking North of East = 160°
(i) To find the new distance from the center of town, we can use the Law of Cosines:
New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))
New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters
(ii) To find the new angle, we can use the Law of Sines:
New angle = Angle + Angle of walking - 180°
New angle = 23° + 160° - 180° ≈ 3°
Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.
(d) Given:
Distance from the center of town = 22.0 meters
Angle North of East = 123°
Distance walked = 40.0 meters
Direction = West (-x)
(i) To find the new distance from the center of town, we can use the Pythagorean theorem:
New distance from center = √((Distance from center)² + (Distance walked)²)
New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters
(ii) To find the new direction, we can subtract the angle of walking from the original angle:
New angle = Angle - 90°
New angle = 123° - 90° ≈ 33°
Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).
To know more about angle:
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4) Find the LCM of 20 and 9
Answer:
least common multiple is 180
Choose all answers that apply
A -x + (-x) = 0
B x - (-x) = 0
C none of the above
Answer:
c
Step-by-step explanation:
none of the above
C none of the above
because x-(-x)=x+x=2xand
-x+(-x)= -x-x=-2x
so answer is 'C' none of the above
PLS HELP I GIVE BRAINLIEST AND 50 PTS EACH
Answer:
24 cubic units