Find derivative of y with respect to x_1, t_1 0 y = ln(x−7)
Answers
The derivative of y with respect to x_1 and t_1 is given by dy/dx_1 and dy/dt_1, respectively. However, since the function y = ln(x - 7) does not explicitly depend on x_1 or t_1, the derivatives dy/dx_1 and dy/dt_1 will be zero.
The given function y = ln(x - 7) represents the natural logarithm of the expression (x - 7). When we take the derivative of this function with respect to x_1 or t_1, we treat x - 7 as a constant since it does not change with respect to x_1 or t_1.
The derivative of y with respect to x_1 is denoted as dy/dx_1, and it represents the rate of change of y with respect to x_1. However, since (x - 7) is a constant with respect to x_1, its derivative is zero. Therefore, dy/dx_1 = 0.
Similarly, when finding the derivative of y with respect to t_1, denoted as dy/dt_1, the result will also be zero since (x - 7) does not depend on t_1.
In summary, for the function y = ln(x - 7), both dy/dx_1 and dy/dt_1 are zero since the function does not depend explicitly on x_1 or t_1.
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Related Questions
How do you find the scale factor of a point dilation?
Answers
Answer:
Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.
Step-by-step explanation:
Judy has already run 21 miles on her own, and she expects to run 1 mile during each track practice. How many track practices would it take for Judy to run 32 miles?
Answers
Answer:
11 more track practices
Step-by-step explanation:
21 miles
32 needed so
32 - 21 = 11
11 miles left
1 mile per practice
let x represent the difference between the number of heads and the number of tails when a coin is tossed 50 times. then p(x)=12.
Answers
Based on the information given, we can assume that when a coin is tossed 50 times, the difference between the number of heads and the number of tails is x. Additionally, we are told that the probability function p(x) is equal to 12.
To understand this better, we need to consider the probability of getting different values of x.
For example, if we get 25 heads and 25 tails, then x is equal to 0. If we get 30 heads and 20 tails, then x is equal to 10.
If we get 20 heads and 30 tails, then x is equal to -10.
Since we are told that p(x) is equal to 12, we can assume that the probability of getting any value of x is 12%. This means that the probability of getting x = 0, x = 10, or x = -10 is all 12%.
To find out the actual number of times we can expect to get each value of x, we need to use the binomial distribution formula.
This formula takes into account the number of trials (in this case, 50 coin tosses), the probability of success (getting heads), and the value of x.
Overall, the information given tells us that we can expect to get a difference of 10 more heads than tails or 10 more tails than heads about 12% of the time when tossing a coin 50 times.
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bradley nixon is interested in the study habits of online math students. as part of his study, he randomly selects 87 students enrolled in liberal arts math 1, and surveys them on the number of hours that spend on that class in a given week. what is the population of this study?
Answers
The population of this study is the group of students enrolled in Liberal Arts Math 1 in the online math program.
The population of this study refers to the entire group of individuals that Bradley Nixon is interested in studying. In this case, the population of the study is specifically focused on online math students. However, the information provided narrows down the population even further to students enrolled in Liberal Arts Math 1.
Therefore, the population of this study consists of all the students who are currently enrolled in Liberal Arts Math 1 in the online math program. This includes all the students taking the course, regardless of their individual study habits or any other characteristics.
It's important to note that the population does not refer to the 87 students who were randomly selected and surveyed. The surveyed students represent a sample of the population, which is a subset of the entire population under study.
So, the population of this study is the group of students enrolled in Liberal Arts Math 1 in the online math program.
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Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79.
Answers
The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.
To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.
First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:
CCR = (600/200)^0.79
Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:
CIR = (current cost index / base cost index)
Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:
CIR = 1200 / 400 = 3
Now, we can estimate the cost of the 600-MW plant:
Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR
Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:
Cost of 600-MW plant = $100 million * CCR * CIR
Calculating CCR:
CCR = (600/200)^0.79 ≈ 2.3367
Calculating the cost of the 600-MW plant:
Cost of 600-MW plant = $100 million * 2.3367 * 3
Cost of 600-MW plant ≈ $700 million
Your question is incomplete but most probably your full question was
Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?
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Nationally, the proportion of red cars on the road is 0.12. A statistically-minded fan of the
Philadelphia Phillies (whose team color is red) wonders if Phillies fans differ from the national proportion of 0.12. One day during a home game, he takes an SRS of 210 cars parked at Citizens Bank Park (the Phillies home field) while a game is being played, and counts 32 red cars. Using a significance level of alpha = 0.05, do the results provide convincing evidence that Phillies fans differ from the rest of the nation?
12. State and define the parameter:
13. State the null and alternative hypothesis.
14. Conduct the test. State the p-value. (include any work or calculations you wish to provide)
15. State a conclusion and write what this means in the context of the problem.
16. What type of error could you have just made? Again state what that means in context.
17. What is something you could have done to reduce the risk of committing that error you described?
Answers
Answer:
443
Step-by-step explanation:
345
Solve each equation.Check your solution
Answers
Plz help me I need this in less than a hour :<
Answers
What is the difference between strength and fit when interpreting regression equations? Do we always need to report and discuss both?
Answers
The difference between strength and fit in regression equations lies in their focus.
What is the difference between strength and fit when interpreting regression equations?Strength refers to the degree of association between the independent and dependent variables. It is determined by the correlation coefficient, which ranges from -1 to +1.
A correlation coefficient of +1 indicates a perfect positive relationship, while a coefficient of -1 indicates a perfect negative relationship.
The strength of a regression equation is usually expressed as an R-squared value, which ranges from 0 to 1. An R-squared value of 1 indicates a perfect fit while a value of 0 indicates no correlation.
Fit, on the other hand, refers to the accuracy of the regression model in predicting the dependent variable. It is determined by the residual sum of squares, which is a measure of the difference between the actual values and the predicted values.
A smaller residual sum of squares indicates a better fit between the model and the data. It is important to report both the strength and fit of the regression equation when interpreting it.
This is because the strength of the association between the variables does not necessarily imply a good fit, and vice versa. Therefore, it is necessary to discuss both to get a clear understanding of the regression model.
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HELP ASAP PLEASEESE <3
Answers
Answer:
?? Where IS THE PICTUREEE
Step-by-step explanation:
The ratio of boys to girls in a class of
45 pupils is 2:7. How many girls are
there in the dass?
(a) 35
(b) 20
(c) 18
(d) 15
le) 10
Answers
Answer:
The answer is option A.
35.Step-by-step explanation:
To find the number of girls in the class we must first find the total parts
That's
2 + 7 = 9
In the ratio 7 correspond to girls so the number of girls in the class are
7/9 × 45
= 7 × 5
= 35
Hope this helps you
PLS TELL THIS ANSWER
TELL ME ANSWER OF 3 AND 4
RIGHT WILL GET BRAINLIST
Answers
1. From the given data in the question,
Decrease in city population = 25000 – 24500 = 500
Therefore, change in population = 500
Initial population = 25000
Percentage decrease = (Change in population / Initial population) × 100
On substituting the values, we get
= (500 / 25000) ×100
= 2%
2.
Increased in price of a car from Rs. 3,50,000 to Rs. 3,70,000
Amount change = Rs.3,70,000−Rs.3,50,000=Rs.20,000
Therefore, Increased percentage =
Amount of change/Original Amount × 100
\( \tt{ = \frac{20000}{350000} × 100} \\ \)
\( \tt = {5 \frac{5}{7}\%.} \\ \)
can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8
Answers
Answer:
B) 10% of 50
Step-by-step explanation:
B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej
correct options arere A,B,D
Your class is learning to tie knots. Each student needs a piece of rope that is 3/8 yards long. How many yards of rope are needed for the 16 students in your class
Answers
The length of the rope that is needed for the 16 students of the class is 6 yards .
In the question ,
it is given that
the class is learning to tie knots .
the length of rope required by 1 student to tie the knot = 3/8 yards ,
the length of rope for 16 students can be calculated using the formula
length of rope for 16 students = 16 × (length of rope required by 1 student)
Substituting the values
we get ,
length of rope for 16 students = 16 × 3/8
= 2 × 3
= 6
Therefore , 16 students will require 6 yards of rope .
The given question is incomplete , the complete question is
Your class is learning to tie knots. Each student needs a piece of rope that is 3/8 yards long. How many yards of rope are needed for the 16 students in your class ?
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Find the sum of the interior angles of a 16-sided polygon. 2,880° 2,160° 2,700° 2,520°
Answers
Answer: Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘
Step-by-step explanation:
Answer:
D) 2520°------------------------
To find the sum of the interior angles of a 16-sided polygon, you can use the formula:
S(n) = (n - 2) × 180° , where n is the number of sides of the polygon.In our case, n = 16.
Substitute the value of n into the formula:
S(16) = (16 - 2) × 180° = (14) × 180° = 2520°The matching choice is D.
find value of x thanks
Answers
Answer:
12.5
Step-by-step explanation:
7x + 20 +5x +10 = 180
12x +30= 180
12x = 180-30
12x = 150
x = 150/12
x = 12.5
For the function given, state the starting point for a sample period:
ƒ(t) = −100sin (50t − 20).
plz help
Answers
Use the form a sin ( b x − c ) + d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 100
Period: π / 25
Phase Shift: 2 /5 ( 2 /5 to the right)
Vertical Shift: 0
Solve for X round to the nearest tenth if necessary
Answers
Answer:
2.8 (approximated)
Step-by-step explanation:
The equation is: sin(60) = 2.4/x or x(sin(60)) = 2.4
You can graph this equation in desmos.
OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST
Answers
Answer
\(168in^{2}\)
Step-by-step explanation:
SA=2(wl+hl+hw)
2·(6·2+9·2+9·6)
=168
Standard deviation of a normal data distribution is a _______.
Answers
Answer:
Measure of Data Dispersion
Step-by-step explanation:
Standard deviation is used to show the variation and dispersion in a group of data. It shows how separated the data's are to each other and how each data can be related to the other.
A normal data distribution are those group of data, that are distributed in a wide range. The standard deviation helps to to measure how they are been spread out.
Standard deviation does not measure the shape, quality, and center of data. This are measured with graphs, range, mean and median.
What is an interest group in AP Gov?
Answers
Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
What are interests groups?Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.
By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.
a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.
Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
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What's the present value of $13,000 discounted back 5 years if the appropriate interest rate is 9%, compounded semiannually? Select the correct answer.
Answers
The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)
After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.
Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.
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9. Amando brought in 48 doughnuts to share with everyone in his first class, including one for each of his
four teachers. If he gives everyone in his class 2 doughnuts he will have at least enough doughnuts left for
his teachers. Write an inequality to express this situation. What is the maximum number of students in
Amando's first class?
Answers
The maximum number of students in Amando's first class is 22.
Let x be the number of students in Amando's first class.
He gave each student 2 doughnuts, so he gave out 2x doughnuts in total.
He also gave 1 doughnut to each of his 4 teachers, for a total of 4 doughnuts.
Therefore, he used 2x + 4 doughnuts in total.
He started with 48 doughnuts, so he must have at least 48 - (2x + 4) doughnuts left over for his teachers.
The inequality to express this situation is: 48 - (2x + 4) ≥ 0
Simplifying this inequality, we get: 44 - 2x ≥ 0
Dividing both sides by -2 (and flipping the inequality sign), we get: x ≤ -22
Since x represents the number of students in Amando's first class, we cannot have a negative number of students. Therefore, we must take the maximum value of x that satisfies the inequality, which is x = 22.
So, the maximum number of students in Amando's first class is 22.
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on a coordinate plane, kite h i j k with diagonals is shown. point h is at (negative 3, 1), point i is at (negative 3, 4), point j is at (0, 4), and point k is at (2, negative 1).
Answers
On a coordinate plane, kite HIJK with diagonals is shown. Point H is located at (-3, 1), point I is at (-3, 4), point J is at (0, 4), and point K is at (2, -1). The diagonals of this kite connect points H and J, and points I and K, creating an intersecting pattern within the shape.
Based on the information provided, we know that a kite shape has been loaded onto a coordinate plane with points h, i, j, and k located at specific coordinates. The coordinates for point h are (-3, 1), for point i are (-3, 4), for point j are (0, 4), and for point k are (2, -1). Additionally, we know that the kite has diagonals, but we are not given any information about their lengths or intersection points.
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Answer:
B is the answer
Step-by-step explanation:
Write the sum of 7√28x6 + 4√7x6 in simplest form, if x # 0
Answers
The sum equivalent to 7√28x⁶+4√7x⁶ is :
18√7x⁶ .
Solution:Remove parentheses and combine like terms to simplify each side of the equation.To isolate the variable term on one side of the equation, use addition or subtraction.To find the variable, use multiplication or division.Given ,7√28x⁶+4√7x⁶,
To find sum in simplest form ;
7√28x⁶+4√7x⁶
By splitting to factors,
= 7√(7*4)x⁶+4√7x⁶
= 7*2√7x⁶+4√7x⁶
= 14√7x⁶+4√7x⁶
By factoring out like terms,
= 2√7x⁶(7+2)
= 2√7x⁶(9)
= 18√7x⁶
Therefore sum is = 18√7x⁶.
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190 people fit in 3 buses.
How many buses would you need to carry 570 people?
Answers
Answer:
9
Step-by-step explanation:
190 people=3 busses
570:190=3
so, 570 people= 190p. + 190p. +190p.= 3 busses +3 busses + 3 busses
Step-by-step explanation:
190 people = 3 busses
570:190=3
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with same friend. His height could be modeled by the equation \(h= -16x^{2}+16x+480\) , where t is the time in seconds and h is the height in feet.
After how many seconds, did Jason hit the water? Step by step.
Answers
Solving a quadratic equation we can see that Jason will hit the water after 6 seconds.
After how many seconds, did Jason hit the water?We know that the height of Jason is modeled by the quadratic function:
h = - 16x² + 16x + 480
The water is at h = 0, so we need to solve the quadratic equation:
0 = - 16x² + 16x + 480
If we divide all the right side by 16,we will get:
0 = (- 16x² + 16x + 480)/16
0 = -x² + x + 30
Now we can use the quadratic formula to get the solutions:
\(x = \frac{-1 \pm \sqrt{1^2 - 4*(-1)*30} }{2*-1} \\\\x = \frac{-1 \pm 11 }{-2}\)
We only care for the positive solution, which is:
x = (-1 - 11)/-2 = 6
Jason will hit the water after 6 seconds.
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let pij = the production of product i in period j. to specify that production of product 1 in period 3 and in period 4 differs by no more than 100 units,
a. P13 − P14 ≥ 100; P14 − P13 ≥ 100
b. P13 − P14 ≤ 100; P13 − P14 ≥ 100
c. P13 − P14 ≤ 100; P14 − P13 ≤ 100
d. P13 − P14 ≤ 100; P14 − P13 ≥ 100
Answers
The answer: d. P13 − P14 ≤ 100; P14 − P13 ≥ 100
The correct answer is (d) P13 − P14 ≤ 100; P14 − P13 ≥ 100.
The question is asking us to specify the difference between the production of product 1 in period 3 and period 4. We know that the difference should not be more than 100 units, which means that the difference can be either positive or negative, but its absolute value should be less than or equal to 100.
Therefore, we can write the following inequalities:
- P13 - P14 ≤ 100 (the difference is not more than 100 units)
- P14 - P13 ≥ -100 (the difference is not less than -100 units, which is the same as saying it is not more than 100 units in the other direction)
Simplifying the second inequality, we get:
- P13 - P14 ≤ 100 (same as the first inequality)
- P14 - P13 ≥ 100 (we multiplied both sides by -1 to make the inequality easier to read)
So, the correct answer is (d) P13 − P14 ≤ 100; P14 − P13 ≥ 100.
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how many ways are there to assign each of $6$ friends to either the chemistry class or the biology class if one of these six, manoj, refuses to be in a class without any of his friends?
Answers
There are 62 number of ways in which classes to these students can be assigned. It can be solved by using the fomula of combination.
What is the formula of combination?
Following is the fomula of combination:
\(^nC_r=\frac{n!}{r!(n-r)!}\)
Here, n is the total objects available and r is the number of object need to choose from n objects.
Let six friends are A, B, C, D, E, and manoj.
Consider all 6 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_6\)
Consider 5 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_5\)
Consider 4 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_4\)
Consider 3 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_3\)
Consider 2 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_2\)
Consider 1 friend is in chemistry class. Hence, number of ways in which it can be is,
\(^6C_1\)
Consider no friend is in chemistry class all are in biology class. Hence, number of ways in which it can be is,
\(^6C_0\)
Hence, total number of ways in which classes can be assigned to 6 students is,
\(^6C_6+^6C_5+^6C_4+^6C_3+^6C_2+^6C_1+^6C_0=64\)
Now, the number of ways in which mnoj is alon. There are two ways. Either he will be in the chemistry class or he will be in the physics class.
Hence, subtract 2 from 64 to get the answer.
\(64-2=62\)
Hence, there are 62 number of ways in which classes to these students can be assigned.
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how to do area and perimeter
Answers
Answer:
Step-by-step explanation:
area and perimeter of WHAT? specify plz.