Answer:
Step-by-step explanation:
Find a parametrization of the portion of the plane x + y + z = 3 that is contained inside the following a. Inside the cylinder x² + y2 b. Inside the cylinder y2 + z = 4 a. What is the correct parameterization?
Apologies for the previous confusion. Let's reconsider the problem to find the correct parameterization.
a. Inside the cylinder x^2 + y^2:
To find a parametrization of the portion of the plane x + y + z = 3 that is inside the cylinder x^2 + y^2, we can use cylindrical coordinates.
In cylindrical coordinates, we have:
x = ρ*cos(θ)
y = ρ*sin(θ)
z = 3 - ρ*cos(θ) - ρ*sin(θ)
Using the equation of the plane x + y + z = 3, we can substitute these expressions to obtain:
ρ*cos(θ) + ρ*sin(θ) + (3 - ρ*cos(θ) - ρ*sin(θ)) = 3
Simplifying, we find:
ρ*cos(θ) + ρ*sin(θ) = 3
Therefore, the correct parameterization for the portion of the plane x + y + z = 3 that is contained inside the cylinder x^2 + y^2 is:
x = ρ*cos(θ)
y = ρ*sin(θ)
z = 3 - ρ*cos(θ) - ρ*sin(θ)
b. Inside the cylinder y^2 + z = 4:
To find a parametrization of the portion of the plane x + y + z = 3 that is inside the cylinder y^2 + z = 4, we can use cylindrical coordinates.
In cylindrical coordinates, we have:
x = x (remains unchanged)
y = ρ*sin(θ)
z = 4 - ρ^2
Therefore, the correct parameterization for the portion of the plane x + y + z = 3 that is contained inside the cylinder y^2 + z = 4 is:
x = x (remains unchanged)
y = ρ*sin(θ)
z = 4 - ρ^2
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The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?
Answer:
explanation below
Step-by-step explanation:
(n - 2) * 180 = 8100
n - 2 = 8100/180
n - 2 = 45
n = 45 + 2
n = 47 sides <---answer
happy to help ya :)
One recipe calls for 1/3 cup of flour per batch and the other calls for 1/2 per batch. How much flour will Marcy use if she makes 12 batches for each type of cookie?
Answer:
The answer would be 10 cups
Step-by-step explanation:
A large automobile insurance company wants to test the null hypothesis that the mean age in its population of policyholders is 50, against the alternative hypothesis that it is different from 50. In a random sample of 361 policyholders, the average age is 47.2 years, and the variance is 121 (squared years). The significance level is 5%. What is the population? Letter (see multiple choices in the instructions)
tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.
Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50. Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%. Calculate the test statistic: The test statistic for a two-sample t-test is given by:
t = (sample mean - hypothesized mean) / (standard error)
In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size). In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom: For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2. In this case, the sample size is 361. Determine the critical value: Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.
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Is this wrong? Or what the answer thank u.
Answer:
it's 5.5
Step-by-step explanation:
4 4 4 5 5 6 6 6 6 9
you start crossing them off from both ends so
455666
5 6
so you get what is in the middle of those 2
5.5
Answer:
The answer is 5.5
Step-by-step explanation:
To find the median, you must put all the numbers in order from smallest to highest so:
4, 4, 4, 5, 5, 6, 6, 6, 6, 9
Now you pick the middle number. The middle number is the center of the set of data and has equal numbers on both sides.
Unfortunately we have a even number so there is no true center number. We must find the two center numbers and find the average.
The center numbers are 5 and 6.
5 + 6 = 11
11/2 = 5.5
The answer is 5.5
an inverse relationship in which one factor increases as another factor decreases represents?
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
Customary System Units Metric System Units 1 gallon 3.79 liters 1 quart 0.95 liters 1 pint 0.473 liters 1 cup 0.237 liters Approximately how many centiliters are in 3 quarts
3 quarts is equal to approximately 285 centilitres.
To Calculate this we have:
3 quarts is equal to 3 x 0.95 liters = 2.85 liters.
1 litre is equal to 100 centilitres, so 2.85 litres is equal to 2.85 x 100 = 285 centilitres.
Therefore, 3 quarts is equal to approximately 285 centilitres.
In detail, a quart is a unit of measurement in the Customary System Units and is defined as a quarter of a gallon. 1 quart is equal to 0.95 litres. To find out how many centilitres are in 3 quarts, we need to multiply the number of quarts (3) by the conversion factor (0.95 litres per quart). This gives us 2.85 litres. Since 1 litre is equal to 100 centilitres, we can multiply 2.85 litres by 100 to get 285 centilitres. Therefore, 3 quarts is equal to approximately 285 centilitres.
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which is correct notation for 724,000,000,000
the scientific notation of 724,000,000,000 is 7.24x10^11
Which statement best describes the function below? f(x)=x2-x2-9x+9 O A. It fails the vertical line test OB. It is a many-to-one function. O C. It is a one-to-one function. O D. It is not a function.
Answer:
d
Step-by-step explanation:
iy is not a function.....
Instructions: Using the image below, match each
line with its corresponding perpendicular line, by
dragging and dropping.
A
E
Perpendicular Lines
\(\overline{AC}\) and
\(\overline{BD}\) and
\(\overline{EG}\) and
B
CG EF DH AB GH AE BF CD
H
The corresponding perpendicular lines to the specified lines, obtained using the definition of perpendicular lines are;
Perpendicular lines
\(\overline{AC}\) and \(\overline{CD}\) or \(\overline{CG}\)
\(\overline{BD}\) and \(\overline{DH}\) or \(\overline{CD}\)
\(\overline{EH}\) and \(\overline{CG}\) or \(\overline{GH}\)
What are perpendicular lines?Perpendicular lines are lines that form an angle of 90°
The perpendicular lines in the figure are the lines that are form a right angle, or that form an angle of 90° with each other, therefore, the perpendicular lines are as follows; the lines;
The line segment \(\overline{AC}\) is perpendicular to the line segment \(\overline{CD}\) and \(\overline{CG}\)
The line segment \(\overline{BD}\) is perpendicular to the line segment \(\overline{DH}\)and \(\overline{CD}\)
The line segment \(\overline{EH}\) is perpendicular to the line segment \(\overline{CG}\) and \(\overline{GH}\)
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The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which
of the
following equations best models
the height k in
centimeters, of the sunflower t days after it begins
to grow?
Answer:
sorry I don't know.....
If 2/3 of a certain number is 200 then 3/2 of that certain number is, A) 200 B)400 C)450 D)600
Answer:
C) 450
Step-by-step explanation:
2/3x=200
x=200/(2/3)
x=(200/1)(3/2)
x=600/2
x=300
3/2(300)=900/2=450
constraints aregroup of answer choicesquantities to be minimized in a linear programming model.restrictions that limit the settings of the decision variables.input variables that can be controlled during optimization.quantities to be maximized in a linear programming model.
Constraints are restrictions that limit the settings of the decision variables in a linear programming model.
Constraints in a linear programming model are restrictions that limit the settings of the decision variables, which are input variables that can be controlled during optimization.
These decision variables are often defined by specific quantities to be maximized or minimized in the model.
Therefore, constraints are a group of answer choices or restrictions that must be considered when developing a mathematical model to optimize certain variables or quantities.
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heyy! i’ll give brainliest please help
Answer:
they held yearly elections so I would say democracy but I'm not 100% sure
Your bowling ball weighs 14 14 pounds. How much does it weigh in ounces? CLEAR CHECK 0.875 0 . 875 ounces 112 112 ounces 140 140 ounces 224 224 ounces
Answer:
224 ounces.
Step-by-step explanation:
There are 16 ounces in a pound. Since the bowling ball weighs 14 pounds, we need to multiply it by 16 to get the weight in ounces.
14 * 16 = 224
The bowling ball should weigh 224 oz.
what is the value of 2 in 2.4
I am not sure but I think the answer is 2
Express the form 3:15 as n:1 make n a decimal
Answer:
0.2 = n
Step-by-step explanation:
Since we want to express 3:15 as n:1, we can say that they are equal ratios, so
3:15 = n:1. Next, ratios can be written as fractions, so 3/15 = n/1 .
3/15 = n/1
Since anything divided by 1 equals itself, we can write this as
3/15 = n
0.2 = n
What equation is shown by the graph below?
Answer:
y= x+ 4
Step-by-step explanation:
use y= mx+b where m is the slope and y is the y intercept
in this case the slope is one and y intercept is four
what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
Let L = {a(^i)bbw|w ∈ {a, b} ∗ and the length of w is i}.
(a) Give two strings that are in L.
(b)Give two strings over the same alphabet that are not in
L.
(c)Give the state diagram for a determin
(a) Strings in L: "abb", "aabbb". (b) Strings not in L: "aabb", "bb".
(c) State diagram for a deterministic Turing Machine with 10 states is given below.
(a) Two strings that are in L are:
1. `abb` (Here, i = 0, and w is an empty string).
2. `aabbb` (Here, i = 2, and w = "aa").
(b) Two strings over the same alphabet that are not in L are:
1. `aabb` (Here, the length of w is 2, but there are more than two 'a's before the 'bb').
2. `bb` (Here, the length of w is 0, but there are 'b's before the 'bb', violating the condition).
(c) Here is the state diagram for a deterministic Turing Machine with 10 states that decides L:
```START --> A --> B --> C --> D --> E --> F --> G --> H --> ACCEPT
a b b a a b b a b
| | | | | | | | |
v v v v v v v v v
REJECT REJECT REJECT A E F REJECT REJECT REJECT
| | | | | | | | |
v v v v v v v v v
REJECT REJECT REJECT REJECT REJECT REJECT G H REJECT
| | | | | | | | |
v v v v v v v v v
REJECT REJECT REJECT REJECT REJECT REJECT REJECT REJECT REJECT```
In this state diagram, the machine starts at the START state and reads input symbols 'a' or 'b'. It transitions through states A, B, C, D, E, F, G, and H depending on the input symbols.
If the machine reaches the ACCEPT state, it accepts the input, and if it reaches any of the REJECT states, it rejects the input. The machine accepts inputs of the form `a^i b^bw` where the length of w is i.
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The complete question is:
Let L = {a(^i)bbw|w ∈ {a, b} ∗ and the length of w is i}.
(a) Give two strings that are in L.
(b)Give two strings over the same alphabet that are not in L.
(c)Give the state diagram for a deterministic Turing Machine that decides L. To receive full credit, your Turing Machine shall have no more than 10 states.
Bridget correctly wrote a set of equivalent numbers. Which of the following sets of
numbers could have been what she wrote?
1, 25%, 0.25
25
o Ž, 40%, 0.04
o Ž, 66%, 0.666
1, 10%, 0.01
Answer:
The answer is B im doing that test right now
Step-by-step explanation:
The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods and services imported, less the goods and services exported. During the period 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion.
Assuming this rate of growth continues, in what year will the GNP reach $10 trillion?
a 2164
b 2103
c 2168
d 2153
A company makes Citi bikes. 95% (i.e., 0.95) pass final inspection. Suppose that 5 bikes are randomly selected. ( use binomial distribution formula )a)What is the probability that exactly 4 of these 5 sports bikes pass final inspection?b)What is the probability that less than 3 of these 5 sports bikes pass final inspection? ()Do I use the factorial symbol that looks like an! When do you do Step by Step when solving problem I got disconnected from my last two digits of my Wi-Fi please help ASAP this is speaking a foreign language to me What is supposed to show step by step by hand
Solution:
Given:
\(\begin{gathered} p=0.95 \\ q=1-0.95=0.05 \\ n=5 \end{gathered}\)Using the binomial distribution formula;
\(P(x)=^nC_xp^xq^{n-x}\)a) Probability that exactly 4 pass the final inspection.
\(\begin{gathered} P(4)=^5C_4\times0.95^4\times0.05^{5-4} \\ P(4)=0.2036265625 \end{gathered}\)b) Probability that less than 3 pass.
\(P(<3)=P(2)+P(1)+P(0)\)Hence,
\(\begin{gathered} P(2)=^5C_2\times0.95^2\times0.05^{5-2} \\ P(2)=0.001128125 \end{gathered}\)\(\begin{gathered} P(1)=^5C_1\times0.95^1\times0.05^{5-1} \\ P(1)=0.0000296875 \end{gathered}\)\(\begin{gathered} P(0)=^5C_0\times0.95^0\times0.05^{5-0} \\ P(0)=0.0000003125 \end{gathered}\)Thus,
\(\begin{gathered} P(<3)=P(2)+P(1)+P(0) \\ P(<3)=0.001128125+0.0000296875+0.0000003125 \\ P(<3)=0.001158125 \end{gathered}\)so nobody is smart enough to answer my question?
That is ver very sad
yes,
abcdefghijklmnopqrstuvwxyz
What is the perimeter of JKLM?
Start with the 60, 60, 60 degree triangle, one of the sides are 12 so all the other sides are 12. So we have 12+12+12+9=45
20 points!!
Riley needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $92 for parts. The total was $272. Which equation could be used to determine x, the cost of labor per hour?
A. 92x = 272 - 4
B. 272 - 92/4 = x
C. x = 92 - 272/4
D. 92x + 4 = 272
The equation could be used to determine x, the cost of labor per hour is
92x + 4 = 272. Option D
Which equation could be used to determine x, the cost of labor per hour?The equation reads as follows: 4x plus 77 equals 497, where 4x stands for the cost of labor per hour, 77 for the cost of the components, and 497 for the overall sum.
Generally, the equation for the expression is mathematically given as
4x + 92 = 272
4x + 92-92 = 272 - 92
4x = 180
x = 45
In conclusion, The equation could be used to determine x,
x = 45
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find the indicated term of the arithmetic sequence with the given description.the first term is 3510, and the common difference is −15. which term of the sequence is 2850?
The 44th term of the arithmetic sequence with a first term of 3510 and a common difference of -15 is 2850.
To find the term of the arithmetic sequence that corresponds to the value 2850, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 3510 and the common difference is -15. Let's substitute these values into the formula and solve for n:
2850 = 3510 + (n - 1) * (-15)
Now we can simplify the equation:
2850 = 3510 - 15n + 15
Subtract 3510 from both sides:
-660 = -15n
To solve for n, divide both sides of the equation by -15:
n = -660 / -15
Simplifying further:
n = 44
Therefore, the 44th term of the arithmetic sequence with a first term of 3510 and a common difference of -15 is 2850.
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use the chain rule to find ∂z ∂s and ∂z ∂t . z = ln(5x 3y), x = s sin(t), y = t cos(s)
∂z/∂s = 3cos(t)/y, ∂z/∂t = 3s*cos(t)/y - sin(s)/x (using the chain rule to differentiate each term and substituting the given expressions for x and y)
To find ∂z/∂s and ∂z/∂t using the chain rule, we start by finding the partial derivatives of z with respect to x and y, and then apply the chain rule.
First, let's find ∂z/∂x and ∂z/∂y.
∂z/∂x = ∂/∂x [ln(5x^3y)]
= (1/5x^3y) ∂/∂x [5x^3y]
= (1/5x^3y) 15x^2y
= 3/y
∂z/∂y = ∂/∂y [ln(5x^3y)]
= (1/5x^3y) ∂/∂y [5x^3y]
= (1/5x^3y) 5x^3
= 1/x
Now, using the chain rule, we can find ∂z/∂s and ∂z/∂t.
∂z/∂s = (∂z/∂x) (∂x/∂s) + (∂z/∂y) (∂y/∂s)
= (3/y) (cos(t)) + (1/x) (0)
= 3cos(t)/y
∂z/∂t = (∂z/∂x) (∂x/∂t) + (∂z/∂y) (∂y/∂t)
= (3/y) * (scos(t)) + (1/x) (-sin(s))
= 3scos(t)/y - sin(s)/x
Therefore, ∂z/∂s = 3cos(t)/y and ∂z/∂t = 3s*cos(t)/y - sin(s)/x.
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plz answer only if you know you are correct
Answer:
3
Step-by-step explanation:
3 is the slope. Since it is y/x, then it is 9/3, which is simplified to 3/1.
Jon won 30 marbles playing horseshoes at a game night. Later, he gave 3 to each of his friends. He only has 9 left. How many friends does she have?