The derivative of the given function using the Fundamental Theorem of Calculus, Part 1, is -2sinx * cosx.
In mathematics, the derivative of a function of a real variable measures the sensitivity to a change in the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
To find the derivative using the Fundamental Theorem of Calculus, Part 1, for the function \(d/dx(\int_{0}^{(sinx)} (1 - t^2) dt)\), proceed as follows:
1. Identify the function within the integral:
f(t) = 1 - t²
2. Take the derivative of the function with respect to t:
f'(t) = -2t
3. Replace the t variable with the upper limit of the integral, which is sinx:
f'(sinx) = -2sinx
4. Multiply the result by the derivative of the upper limit with respect to x:
d/dx(sinx) = cosx
5. Multiply the results from steps 3 and 4:
-2sinx * cosx
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Consider the following functions: - f(x) is the price of a stone in yen (∗) on a day when x stones were mined - g(x) is the the number of miners working on a day when the price of a stone is x yen (7) Suppose both functions are invertible. What is the practical interpretation of f
−1
(g
−1
(10))=53? When the price of a stone was 10k, the number of workers mining stones was 53 . When the price of a stone was 53%, the number of workers mining stones was 10 . When 53 stones are mined, their price is 10 V. When 10 stones are mined, their price is 53%. On a day when 53 workers are mining stones, then they mine 10 stones. On a day when 10 workers are mining stones, then they mine 53 stones.
The answer is , the practical interpretation of the equation
\(f^{(-1)}(g^{(-1)(10)})\) = 53
The practical interpretation of the equation \(f^{(-1)}(g^{(-1)(10)})\) = 53 is that when the price of a stone is 10 yen, the number of workers mining stones is 53.
This means that as the price of a stone decreases to 10 yen, the number of workers increases to 53.
It indicates an inverse relationship between the price of a stone and the number of workers.
In other words, when the price of a stone decreases, more workers are needed to mine the stones.
This can be attributed to the fact that when the price of a stone is low, it becomes more affordable and in demand, leading to increased mining activity and the need for more workers.
Conversely, when the price of a stone is high, fewer workers may be needed as the demand decreases.
Overall, this equation helps understand the relationship between the price of a stone and the number of workers involved in mining.
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Solve the equation: 3x − x − 5 = 2(x + 2) − 9 No solution, 1, All real numbers, 0
Answer:
I hope this helps
Step-by-step explanation:
Simplifying
3x + -1x + -5 = 2(x + 2) + -9
Reorder the terms:
-5 + 3x + -1x = 2(x + 2) + -9
Combine like terms: 3x + -1x = 2x
-5 + 2x = 2(x + 2) + -9
Reorder the terms:
-5 + 2x = 2(2 + x) + -9
-5 + 2x = (2 * 2 + x * 2) + -9
-5 + 2x = (4 + 2x) + -9
Reorder the terms:
-5 + 2x = 4 + -9 + 2x
Combine like terms: 4 + -9 = -5
-5 + 2x = -5 + 2x
Add '5' to each side of the equation.
-5 + 5 + 2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
0 + 2x = -5 + 5 + 2x
2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
2x = 0 + 2x
2x = 2x
Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
solve x^2-12x+18=0 by completing the square
The answer to the equation is x = 6 or x = 6.
How the answer was obtainedTo solve the equation x^2 - 12x + 18 = 0 by completing the square, follow these steps:
Rewrite the equation in the form (x - a)^2 = b, where a and b are constants. In this case, a = 6 and b = 0.
Add (a^2 - b) to both sides of the equation to complete the square.
x^2 - 12x + 36 = 18
Factor the left side of the equation as a perfect square trinomial.
(x - 6)^2 = 0
Take the square root of both sides of the equation.
x - 6 = 0 or x - 6 = 0
Solve for x by adding or subtracting a to both sides of the equation.
x = 6 or x = 6.
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34.2 mm = cm please im stuck on this.
Answer:
34.2 mm (millimeters) converted to cm (centimeters) is 3.42.
Use separation of variables to solve the differential equation- with initial condition (Hint: After you isolate It on one side of the equation, break it into the sum of two fractions.) You get the solution: O D. This one can be separated, but it's impossible to solve using techniques of antidifferentiation
Based on the information provided, it seems like there is a differential equation that can be solved using separation of variables. The equation cannot be solved using techniques of antidifferentiation, which means that it is likely a more complex equation that requires a different approach.
In order to solve the equation using separation of variables, the first step is to isolate the variables on one side of the equation. Once this is done, the equation can be broken into the sum of two fractions, which can then be integrated separately.
The initial condition provided will help to determine the specific values for the constants that arise during the integration process. Ultimately, the solution to the differential equation will be in the form of a function that satisfies the given equation and initial condition.
It is important to note that the specifics of the equation and initial condition are not provided, so it is impossible to provide a more detailed answer. However, understanding the concept of separation of variables and how it can be used to solve differential equations is key to approaching problems of this nature.
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This is a feebie for points :) Tell me about your day
thx my man i appreciate it
my days been fine. i been doin math. wbu?
Help me please.
No links i will report anything not related to the question
Answer:
6/9 and 4/6
Step-by-step explanation:
Double and Triple the number
Mr. Fowler's science class grew two different varieties of plants as part of a experiment. When the plant samples were fully grown, they compared their heights.
Answer:
Step-by-step explanation:
Option D is the correct option.
What is Mean Absolute Deviation?
'The mean absolute deviation (MAD) is the mean (average) distance between each data value and the mean of the data set.'
According to the given problem,
The mean height Variety A = 19 [ from the table ]
The mean height of variety B = 13 [ from the table ]
The spread is given by the mean absolute deviation, which 1.2 for Variety A and 2.4 for Variety B. So we can see that, the spread in Variety A is lesser than the spread in Variety B, which shows that the average height of Variety A varies less than the average height of Variety B.
We can see from the table that the average height of a variety A is indeed greater than that of Variety B. Also we can see that the Mean Absolute deviation of Variety A is 1.2 which is lesser than the Mean Absolute deviation of Variety B.
Hence, option D is correct since the average height of Variety A is greater than Variety B, and also the mean varies lesser in Variety A than in Variety B.
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Answer:
D
Step-by-step explanation:
hope this helps
Sam is 34 years younger than Ashton. 4 years ago, Ashton's age was 3 times Sam's age. How old is Sam now?
Answer:
21years old
Step-by-step explanation:
Let Sam's age be x
Let Ashton present age be y
If Sam is 34 years younger than Ashton then;
x = y - 34 .... 1
If by 4 years ago, Ashton's age was 3 times Sam's age then;
Sam = x - 4
Ashton = y - 4
y-4 = 3(x-4)
y-4 = 3x - 12 ....2
Substitute 1 into 2;
y-4 = 3(y-34)-12
y-4 = 3y-102-12
y-4 = 3y - 114
y-3y = -114 + 4
-2y = -110
y = 110/2
y = 55
Since x = y- 34
x = 55-34
x = 21
Hence Sam will be 21years old now
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim [In(x9 - 1) - In(x5- 1)]
The limit of the given expression as x approaches 1 from the right is 1.8.
To evaluate the limit of the given expression:
\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
We can start by directly substituting x = 1 into the expression:
[ln(1⁹ - 1) - ln(1⁵ - 1)]
= [ln(0) - ln(0)]
However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.
To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:
\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]
= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]
Now, we can differentiate the numerator and denominator with respect to x:
Numerator:
d/dx[(x⁹ - 1)] = 9x⁸
Denominator:
d/dx[(x⁵ - 1)] = 5x⁴
Taking the limit again:
\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]
= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)
= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)
Now, we can substitute x = 1 into the expression:
(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)
= (9/5) * \(lim_{x - > 1}\)+ 1
= (9/5) * 1
= 9/5
= 1.8
The complete question is:
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)
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What is one factor of 5x^2+13x-6 with work please.
Use the given sample data to find the p-value for the hypotheses, and interpret the p-value. Assume all conditions for inference are met, and use the hypotheses given here:
H_0\:\:p_1=p_2H0p1=p2
H_A\:\:p_1\ne p_2HAp1?p2
A poll reported that 41 of 100 men surveyed were in favor of increased security at airports, while 35 of 140 women were in favor of increased security.
P-value = 0.0086; If there is no difference in the proportions, there is about a 0.86% chance of seeing the observed difference or larger by natural sampling variation.
P-value = 0.0512; If there is no difference in the proportions, there is about a 5.12% chance of seeing the observed difference or larger by natural sampling variation.
P-value = 0.0086; There is about a 0.86% chance that the two proportions are equal.
P-value = 0.0512; There is about a 5.12% chance that the two proportions are equal.
P-value = 0.4211; If there is no difference in the prop
based on the small p-value, we have evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that there is a significant difference in the proportions of men and women favoring increased security at airports.
What is Hypothesis?
A hypothesis is an educated guess while using reasonable thinking, about the answer to a scientific question. Although it is not proof in an experiment, it is the predicted outcome of the experimentation. It can either be supported or not supported at all, but it depends on the data gathered.
Based on the provided information, the correct interpretation of the p-value would be:
P-value = 0.0086; If there is no difference in the proportions, there is about a 0.86% chance of seeing the observed difference or larger by natural sampling variation.
The p-value of 0.0086 indicates that the probability of observing the difference in proportions (favoring increased security at airports) as extreme as or larger than the one observed in the sample, assuming there is no difference in the population proportions, is approximately 0.86%.
In other words, if the null hypothesis were true (i.e., there is no difference in proportions between men and women favoring increased security at airports), there is a very low probability of obtaining the observed difference or a larger difference due to natural sampling variation.
Therefore, based on the small p-value, we have evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that there is a significant difference in the proportions of men and women favoring increased security at airports.
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161% of 200 = what ?
Answer:332
Step-by-step explanation:Solution for 161 is what percent of 200:
161:200*100 =
(161*100):200 =
16100:200 = 80.5
Now we have: 161 is what percent of 200 = 80.5
Question: 161 is what percent of 200?
Percentage solution with steps:
Step 1: We make the assumption that 200 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=200$.
Step 4: In the same vein, $x\%=161$.
Step 5: This gives us a pair of simple equations:
$100\%=200(1)$.
$x\%=161(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{200}{161}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{161}{200}$
$\Rightarrow x=80.5\%$
Therefore, $161$ is $80.5\%$ of $200$.
The table represents the function fix).
f(x)
X
-3
-2
−1
0
1
2
3
-3
0
3
69
9
What is (3)?
09
F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.
To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.
From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.
The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.
Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.
Therefore, the value of F(3) is 9. Option D is correct.
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what is a commission
Answer:
Commission-An instruction/command given to a person or group of people.
Answer:
It’s basically an instruction, command, or role given to a person or group.
Step-by-step explanation:
Find the measure of the missing angle.
Answer:35°
Step-by-step explanation:55+90=145 180-145=35
Answer:
a = 35
Step-by-step explanation:
Straight angle theorem state that a straight line has an angle of 180 degrees
a + 90(right angle) + 55 = 180
a = 35
i need hlp with this question offer I 50 points
Determine if the triples below are right triangles.
Port A: 290, 696, 750
Port B: 514, 684, 855
part C: 450, 1080, 1170
Answer:
Part A is not a rt triangle
Part B is not a rt triangle
Part C is a rt triangle
Step-by-step explanation:
Part A:
290^2 + 696^2 = 750^2
84,100 + 484,416 = 562,500
Add the numbers on the left to see if the 2 sides are equal.
568,516 ≠ 562,500
Part B:
514^2 + 684^2 = 855^2
264,196 + 467,856 = 731,025
Add the numbers on the left to see if the 2 sides are equal.
732,052 ≠ 731,025
Part C:
450^2 + 1080^2 = 1170^2
202,500 + 1,166,400 = 1,368,900
1,368,900 = 1,368,900
cp =Rs 720 and SP= Rs 810
Answer:
Profit=Rs90
Step-by-step explanation:We know that,Profit=Sp-Cp =Rs 810-Rs720 =Rs 90
Answer:
solution:
Cp=rs 720
SP=rs 810
now,
profit=sp-cp
= rs (810-720)
profit is rs 90
Write the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and
foci at (5, 0) and (-5, 0).
Answer:
The answer is the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0), which is:
x^2 - \frac{y^2}{5} = 1
This equation describes the shape of the hyperbola and allows you to determine the location and size of the hyperbola on a coordinate plane.
Step-by-step explanation:
The standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0) is given by:
$$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$
where $a$ and $b$ are the lengths of the semi-major and semi-minor axes, respectively. In this case, the distance between the vertices is 2, so the semi-major axis is 1 and the semi-minor axis is $\sqrt{5}$. Therefore, the equation of the hyperbola is:
$$\frac{x^2}{1^2} - \frac{y^2}{\sqrt{5}^2} = 1$$
which simplifies to:
x^2 - \frac{y^2}{5} = 1
Which of the following debt service funds would normally have the largest balance in its Fund Balance account?
Serial bond debt service fund.
Deferred serial bond debt service fund.
Irregular serial bond debt service fund.
Term bond debt service fund
Answer:
Term bond debt service fund would normally have the largest balance in its Fund Balance account.
Step-by-step explanation:
What is debt service fund?
A debt service fund is a financial account that governments use to pay for the principal and interest on their long-term debts. The money is set aside for these payments, ensuring that they are made on time and in full.
Debt service funds are classified as either governmental or proprietary funds, depending on the type of government that uses them.
In conclusion, term bond debt service fund would normally have the largest balance in its Fund Balance account.
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in a bag of marbles, 1 2 are red, 1 4 are blue, 1 6 are green, and 1 12 are yellow. you pick a marble without looking. what color marble are you most likely to choose?
There are 8 teams playing in the tournament. Each team is scheduled to play every other team once. How many games will be played during the tournament?
A. 15
B. 21
C. 28
D. 36
Who wants 50 points?!
Here it refers to unique matches .
Total matches:-
7+6+5+4+3+2+1=28matchesOption C
PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.
Answer:
the two points are (-3,-3
Step-by-step explanation:
You must first check if the line is a straight line two the you check the intersection of the two points and the write it
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Really appreciated :)))) (25 points) Reupload
For one kindergarten class in his district, a researcher determines which children already can read simple words and which children cannot upon entering kindergarten. The children are followed until third grade, at which point they are tested to determine the grade level at which they are reading. Those children who were reading simple words upon entering kindergarten are found to be reading at a higher level than those who could not read simple words upon entering kindergarten. Fill in the Blank: The researcher _____________________________. Select one: a. can conclude that children should be taught to read in preschool, as there are clear benefits to reading early. b. needs to check the reading level of the children's parents. c. cannot establish a cause-and-effect relationship because the study did not use a random sample of kindergarten students. d. finds these results beneficial, as there may be confounding variables in this study. e. needs to retest in sixth grade or no conclusions can be reached.
The correct answer is that we cannot conclude that being able to read is beneficial for them as there can be various cause and effect relation.
A research is conducted to collect information about a specific topic for the purpose of study. A group of population is asked to fill a survey form or answer questions based on the research topic.
This data is collected and analyzed to get the required result.
Here, in this question kindergarten students are the population from whom data is collected . Here, the conclusion is that having the ability to read and write from before only doesn't means they will have academic intelligence later.
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Complete the statement using < or >, or =.
|-6| _____-3
Answer:
-3
Step-by-step explanation:
in minus number the smallest number is the biggest
mark me brainliest
Find the missing side of each triangle
Answer:
B) x = √118 mi
Step-by-step explanation:
This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is
a^2 + b^2 = c^2, where
a and b are the shorter legs,and c is the hypotenuse (longest side opposite the right angleIn the figure, the sides measuring x mi and √26 mi are the legs, so we plug these in for a and b in the theorem,and the side measuring 12 mi is the hypotenuse, so we plug it in for c in the theorem:Step 1: Plug in x and √26 for a and b and 12 for c and simplify:
x^2 + (√26)^2 = 12^2
x^2 + 26 = 144
Step 2: Subtract 26 from both sides to isolate x^2:
(x^2 + 26 = 144) - 26
x^2 = 118
Step 3: Take the square root of both sides to isolate x:
√(x^2) = √118
x = √118 mi
The coordinates of the points A and B are ( 0 , -2 ) and ( 3 , 0 ) respectively.
(a) What is the y - intercept of the line AB?
(b) What is the gradient of the line AB?
(c) What is the length of the line AB?
Answer: The y-intercept is -2
The gradient is 2/3
and the length is 13
Step-by-step explanation: