The equation of the tangent plane to the parametric surface x = u + v, y = 842, z = u - v at the specified point (2, 8, 0) is -x + y + 6 = 0.
The given parametric equations are x = u + v, y = 842, and z = u - v. We need to find the equation of the tangent plane at the point (2, 8, 0).
Taking the partial derivatives of the parametric equations with respect to u and v, we obtain the vectors (1, 1, -1) and (1, 0, -1), respectively. The cross product of these two vectors gives us the normal vector of the tangent plane, which is (-2, 0, -2).
Substituting the coordinates (2, 8, 0) of the specified point and the normal vector (-2, 0, -2) into the point-normal form of a plane equation, we get:
(-2)(x - 2) + 0(y - 8) + (-2)(z - 0) = 0
Simplifying, we have -x + y + 6 = 0, which is the equation of the tangent plane to the parametric surface at the given point.
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Kenji was building a porch. He needed 14 planks that were 2.7 meters each. How many meters of plank did he need altogether?
Answer:
He needs 37.8 meters altogether.
Step-by-step explanation:
Because each plank is 2.7 meters, we can just multiply 14 by 2.7 to get 37.8 meters.
the total pages a person reads in x days, if the person reads 6 pages a day
Answer: i dont really understand the question but x = 6 if that's what your asking :)
Step-by-step explanation:
procedures that allow researchers to rule out certain explanations for results other than the hypotheses they wish to test are referred to as
Control procedures are those that enable researchers to rule out specific causes for results other than the hypotheses they intend to test.
In a controlled experiment, every factor besides the independent variable is kept under control or constant to ensure that it has no impact on the dependent variable.
This experiment involves the systematic manipulation of an independent variable (the cause) and the measurement of the dependent variable (the effect). This ensures that any extraneous variables are controlled.
This experiment aids the researcher in determining whether the experimental group and control group differ from one another.
For example, during the medication effect test, the group that receives the medication is referred to as the experiment group. Those who don't get any medication are referred to as the control group.
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Which of the following tables represent a proportional relationship?
verbal:
a. y/x= 40/1 76/2 112/3 148/4
b. y/x= 48/2 96/3 144/4 192/5
c. y/x= 18/1 54/3 90/5 126/7
d. 24/1 21/2 18/3 15/4
picture:
a. y/x = 40/1, 76/2, 112/3, 148/4 does not represent a proportional relationship. . y/x = 48/2, 96/3, 144/4, 192/5 does not represent a proportional relationship. c. y/x = 18/1, 54/3, 90/5, 126/7 represents a proportional relationship.
How to determine a proportional relationshipA proportional relationship means that the ratio of y to x is constant throughout the table. Let's check each table:
a. y/x = 40/1, 76/2, 112/3, 148/4
If we simplify the fractions, we get y/x = 40, 38, 37.33, 37. This is not a constant ratio, so this table does not represent a proportional relationship.
b. y/x = 48/2, 96/3, 144/4, 192/5
If we simplify the fractions, we get y/x = 24, 32, 36, 38.4. This is not a constant ratio, so this table does not represent a proportional relationship.
c. y/x = 18/1, 54/3, 90/5, 126/7
If we simplify the fractions, we get y/x = 18, 18, 18, 18. This is a constant ratio, so this table represents a proportional relationship.
d. y/x = 24/1, 21/2, 18/3, 15/4
If we simplify the fractions, we get y/x = 24, 10.5, 6, 3.75. This is not a constant ratio, so this table does not represent a proportional relationship.
Therefore, the table that represents a proportional relationship is c. y/x = 18/1, 54/3, 90/5, 126/7.
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what is 55% of 860?
Probability and Statistics
Answer:
473
Step-by-step explanation:
typed into calculator.
Answer:
473
Step-by-step explanation:
first u divide 860 by 100
which equals to 8.6
next u multiply 8.6 by 55 to get 473
hope this helps!!
List from greatest to least:5.1 , 5 1/5, 5.5 and 5 1/4
Answer:
5.5, 5¼, 5 1/5 and 5.1.
Explanation:
To list the height from greatest to least, we convert each of them to a decimal.
\(\text{Suki}=5\frac{1}{5}=5+\frac{1}{5}=5+0.2=5.2\)\(\text{Also, Amir=5}\frac{1}{4}=5+\frac{1}{4}=5+0.25=5.25\)Therefore, the weights are: 5.1, 5.2, 5.5 and 5.25
Arranging them from greatest to least gives:
5.5, 5.25, 5.2 and 5.1 which is equivalent to: 5.5, 5¼, 5 1/5 and 5.1.
Find the area of the shaded segment of the circle
The area of the shaded segment of the circle is calculated by substracting the area of triangle from area of sector of circle So, area of shaded segment of the above circle is equals to the (12π - 9√3) cm².
Assume a sector having a radius r and a central angle of α degrees. The sector's area will be A= (α/360∘)πr². Similarly, different shapes have different area formulas. We have been provided a circle of radius 6cm. Assume that its center is O and the segment is AB. Radius of circle , r = 6 cm
Central angle,α = 120°
Area of shaded segment is calculated by the area of sector AOB of circle minus area of triangle AOB formed there. So, Area of sector AOB , A = (α/360∘)πr²
= ( 120°/360°) π6²
= (1/3) 36π = 12π cm²
As we know, OA = OB= 6cm
=> m∠OAB = m∠OBA
and m∠AOB + m∠OAB + m∠OBA = 180∘
=> 120∘ + m∠OAB + m∠OAB= 180∘
=> 2(m∠OAB) = 180∘− 120∘ = 60°
=> m∠OAB = 30° = m∠OBA
So, it is an isosceles triangle. Draw a perpendicular OC on AB then there is formed two right angled triangles. In right angled triangle OAC, 90°, 60°, 30° and OA = 6 cm then OC/6 = Sin 30°
=> OC= 3 cm and
AC = √36 - 9 = √27 = 3√3 cm
Similarly, BC = 3√3 cm so, AB = 6√3 cm. Now, area of triangle AOB = (1/2) × AB × OC = (1/2)× 6√3 ×3 = 9√3 cm²
So, required area = 12π cm² - 9√3 cm². Hence, required value is (12π - 9√3) cm².
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Complete question:
The above figure completes the question. Find the area of the shaded segment of the circle.
Help please i don’t know how to convert a graph into an equation
The value of the composite function (f○g)(0), where, f(x) is a linear function with a slope of 2 and a y-intercept of -1, and the function g(x) has the shape of a parabola is (f○g)(x) = 3
What is a composite function?A composite function, h, is a function that is produced by two functions, f, and g as follows; (f○g)(x) = f(g(x) = h(x).
The linear function f(x), with a slope of 2 and a y-intercept of -1 is; y = 2·x - 1
The graph of the function g(x) is a parabola, indicating that g(x) is a quadratic function.
The composite function (f○g)(0) = f(g(0))
The graph indicates that g(0) = 2, therefore;
(f○g)(0) = f(g(0)) = f(2) = 3
The graph of the functions indicates that (f○g)(0) = 3
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The number 360 has many factors. This may be why it was chosen for the number of degrees in a full turn
Answer:
Due to having 24 divisors.
Step-by-step explanation:
360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.
Please Help!!!! 50 Points
Answer:
D
Step-by-step explanation:
Answer: D.
Step-by-step explanation:
If you were offered $18 dollars per hour, $3,000 dollars a month or $37,000 dollars a year, which would you take if salary was the only consideration?
Answer:
I will consider $18/hour pay
Step-by-step explanation:
Before we an know which of the money to consider, we need to converted the equivalent amount in years
If $18 dollars is offered per hour, to know the equivalent amount per year.
1year = 8760hour
$18 = 1hr
x = 8760hr
x =18×8760
x = $157680
For the monthly pay
$3000 = 1month
y =12months
Since 12months are in year
Cross multiply
y = 3000×12
y = $36000
Since the hourly pay equivalent in years is greater than the monthly and yearly pay, hence I would consider $18 per hour pay
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 to describe the relationship.
In the given equation r = 2/5 t "r" is the dependent variable.
Dependent variables:In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.
An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.
A dependent variable is a variable whose value depends on the value of one or more other variables in the equation
Here we have
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups.
She writes the equation r = 2/5 t to describe the relationship.
In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.
Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.
The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.
Therefore,
In the given equation r = 2/5 t "r" is the dependent variable.
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Complete Question:
Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
If bias has been eliminated, it is safe to assume that the sample is free of sampling errors." True or False
The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.
When studying the incidence of rare phenomena, researchers should use "relatively large samples". Using a large sample corrects for bias. If bias has been eliminated, it is safe to assume that the sample is free of sampling errors." The effects of random sampling errors are predictable in the long run.
One of the most effective methods that can be used by researchers to avoid sampling bias is simple random sampling, in which samples are chosen strictly by chance. This provides equal odds for every member of the population to be chosen as a participant in the study at hand.
The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.
Non-probability sampling often results in biased samples because some members of the population are more likely to be included than others.
To avoid non-response bias, researchers should keep surveys as simple as possible, with clear wording and instruction and seek respondents who are relevant to the survey topic.
Therefore,
The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.
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Please help me out please please please
Answer:
I think the first
Step-by-step explanation:
Consider the following data set
5
6
7
15
22
Be careful with this question tick every correct option note that the 50 th percentile would be the middle numbe a. the mean is 11.00 b. the mean is 14.70 c. The median (the 50 th percentile) is 7.00 d. The median (the 50th percentile) is 10.75
a. The mean is 11.00 (correct)
b. The mean is 14.70 (incorrect)
c. The median (the 50th percentile) is 7.00 (correct)
d. The median (the 50th percentile) is 10.75 (incorrect)
5, 6, 7, 15, 22
The mean is calculated by adding up all the numbers and dividing by the total count:
Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11
So option a. The mean is 11.00 is correct.
The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.
So option d. The median (the 50th percentile) is 10.75 is incorrect.
The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.
So option c. The median (the 50th percentile) is 7.00 is correct.
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A bag contains four red marbles, nine green marbles, four blue marbles, and three yellow marbles. If Lisa draws a random marble
from the bag, what is the probability that it will be a red, green, or blue marble?
Answer:
The answer is 17/20
Step-by-step explanation:
idk
Answer (*shrugs*):
Red = 1/5
Green = 9/20
Blue = 1/5
A pharmaceutical company is running tests to see how well its new drug lowers cholesterol. Twelve adults volunteer to participate in the study. The total cholesterol level of each participant (in mg/dL) is recorded once at the start of the study and then again after three months of taking the drug. The results are given in the following table. Construct a 99% confidence interval for the true mean difference between the cholesterol levels for people who take the new drug. Let Population 1 be the initial cholesterol level and Population 2 be the cholesterol level after three months. Round the endpoints of the interval to one decimal place, if necessary.
Total Cholesterol Levels (in mg/dL)
Initial Level Level after Three Months
214 188
186 210
182 199
200 209
210 207
204 195
187 203
210 191
190 190
182 211
215 199
198 181
We are given two sets of paired observations, which we will use to calculate the sample mean difference and the standard error of the mean difference:
Sample mean difference = x1 -x2 = (214+186+182+200+210+204+187+210+190+182+215+198)/12 - (188+210+199+209+207+195+203+191+190+211+199+181)/12 = 4.75
Sample standard deviation of the differences = s = √[(Σd²)/(n-1)] where d = (x1 - x2) - (x1 - x2), and n is the number of pairs.
d1 = (214 - 188) - 4.75 = 21.25
d2 = (186 - 210) - 4.75 = -28.75
d3 = (182 - 199) - 4.75 = -22.75
d4 = (200 - 209) - 4.75 = -9.75
d5 = (210 - 207) - 4.75 = -1.75
d6 = (204 - 195) - 4.75 = 3.25
d7 = (187 - 203) - 4.75 = -20.75
d8 = (210 - 191) - 4.75 = 13.25
d9 = (190 - 190) - 4.75 = -4.75
d10 = (182 - 211) - 4.75 = -28.75
d11 = (215 - 199) - 4.75 = 10.25
d12 = (198 - 181) - 4.75 = 12.25
Σd² = 1734.875
s = √(1734.875/11) = 5.076
Standard error of the mean difference = s/√n = 5.076/√12 = 1.469
Using a t-distribution with 11 degrees of freedom and a 99% confidence level (α = 0.01), we find the t-value to be 3.106. Therefore, the 99% confidence interval for the true mean difference between the cholesterol levels for people who take the new drug is:
(4.75 - 3.106(1.469), 4.75 + 3.106(1.469))
= (0.885, 8.615)
So we are 99% confident that the true mean difference between the cholesterol levels for people who take the new drug lies between 0.885 and 8.615 mg/dL.
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IM TIMED PLEASE HELP ILL GIVE U BRAINLIEST (last time) D:
what is 0.45 divided 1.5
show your work in standard of division
Answer:
0.333333333
Step-by-step explanation:
I hope this helps!!!!
Debbie is having a yard sale and wants to catch shoppers' attention with colorful rectangular
price tags on each item. She attaches an extra large tag to a desk that she really wants to
sell. That special price tag is 2.5 inches wide and has an area of 7.5 square inches.
What is the height of the special price tag?
The height of the special price tag is 3 inches.
We have,
To find the height of the special price tag, we need to use the formula for the area of a rectangle:
Area = length x width
In this case,
We know the width is 2.5 inches and the area is 7.5 square inches.
Let h be the height of the tag, then we can write:
7.5 = h x 2.5
To solve for h, we divide both sides by 2.5:
h = 7.5 ÷ 2.5
h = 3
Therefore,
The height of the special price tag is 3 inches.
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A new automobile company plans to manufacture nine cars every month it will first fill an overseas order for 10 cars and then send the rest of showrooms in New York
Answer: 20 cars and then send the rest of showrooms iin New York
Step-by-step explanation:
Selecting a US State Choose one of the 50 states at random. a. What is the sample space? [Type your answer here] b. What is the probability that it begins with M? [Type your answer here] c. What is the probability that it doesn't begin with a vowel?
Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.
a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.
b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.
c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.
Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.
In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.
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Write an equation in slope intercept form that has a slope of \frac{3}{2}
2
3
goes through these two points.
\left(2,-6\right)\&\left(4,-3\right)(2,−6)&(4,−3)
Find the measure of the given angle. Round to the nearest degree.
(O
6
?
13
15 degrees by eye i think
Find the vertical intercept of the graph. What does it tell you about the squirrel
Answer:
1.) The highest point is 14 feet. That occurs at 1.5 seconds where the graph is at the highest.
2.) The solution is t = 4. Solution can also be written as (4,0). So at 4 seconds, the squirrel is at the ground (h = 0)
3.) The vertical intercept is 9 feet. That means that at t=0, the squirrel's height is 9 feet. In other words, the squirrel's starting height is 9 feet
Step-by-step explanation:
Three brothers, Andy, Bob, and Curly, take a taxi together home from the
airport.
Their homes lie along the same route;
• Andy’s is 21 km from the airport,
• Bob’s is 42 km, and
• Curly’s is 63 km.
If the taxi fare is $2.00 per km, try to find at least two possible fair ways for each
of the three travellers to pay the driver (not including the tip)?
I really need help on this cab someone answer this please
Answer:
See explanation
Step-by-step explanation:
not sure what class this is for but I\ll try. Each traveller has a 21 km drive so their fare should be equal.
method 1) each traveller can pay for 21 km worth when they get out
method 2) Curly can pay the full fare and Andy and Bob can pay him back later (they're brothers so this should be easy to manage)
WHAT DID YOU LEARN, DISCOVER AND OBSERVE? on How Tour Operators, Travel Agencies and Consolidators work together
Tour operators, travel agencies, and consolidators work together to provide comprehensive travel services.
Tour operators play a crucial role in the travel industry. They specialize in designing and coordinating tour packages that include accommodations, transportation, activities, and other services. Tour operators work closely with travel agencies to market and sell their tour packages to customers. Travel agencies, on the other hand, act as intermediaries between tour operators and customers. They provide information, advice, and assistance to customers in selecting and booking suitable tour packages.
Consolidators are an additional component in this collaboration. They negotiate discounted rates with airlines, hotels, and other suppliers based on their purchasing power and volume of bookings. These discounted rates enable travel agencies to offer competitive pricing to their customers. Consolidators work with both tour operators and travel agencies to ensure that they can provide attractive and affordable travel options.
Overall, the collaboration between tour operators, travel agencies, and consolidators allows for a seamless process of designing, marketing, selling, and delivering travel experiences to customers. It enables customers to access a wide range of travel options and services while ensuring competitive pricing and quality arrangements.
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Suppose you are going to test the hypothesis that two populations have the same mean. What is the test statistic for this test when the sample averages are 6 and 7. 5 and sample 1 has a standard deviation of 16 and sample 2 has a standard deviation of 15 and both samples have 32 observations?.
The test statistic for this test is -0.213.
To test the hypothesis that two populations have the same mean, we can use a two-sample t-test. The test statistic for this test is calculated by taking the difference between the sample means and dividing it by the standard error of the difference.
In this case, the sample averages are 6 and 7, and the standard deviations for the two samples are 16 and 15, respectively. Both samples have 32 observations.
To calculate the test statistic, we first need to calculate the standard error of the difference. This is given by:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
where s1 and s2 are the standard deviations for the two samples, and n1 and n2 are the sample sizes. Plugging in the values we have, we get:
SE = sqrt[(16^2/32) + (15^2/32)]
= 4.698
Next, we calculate the t-statistic:
t = (x1 - x2) / SE
where x1 and x2 are the sample means. Plugging in the values we have, we get:
t = (6 - 7) / 4.698
= -0.213
The test statistic for this test is -0.213.
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According to government tests, a late model hybrid car gets 45 miles per gallon of gas. If gasoline sells
at $3.20 per gallon, how many miles will the car travel on $20.00 of gas?
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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