helpFind the third derivative of f (x) = 9x +1. 回國
Answers
The question is asking for the third derivative of the function f(x) = 9x + 1.
To find the third derivative, we need to take the derivative of the function three times. The first derivative of f(x) is 9, as the derivative of a constant term is always zero and the derivative of 9x is 9. The second derivative of f(x) is zero, as the derivative of a constant function is always zero. Finally, the third derivative of f(x) is also zero, as the derivative of a constant function is always zero regardless of how many times it is differentiated.
Therefore, the answer to the question is that the third derivative of f(x) = 9x + 1 is zero. This result is not unexpected, as the third derivative of a linear function is always zero, as the slope of the function does not change with respect to x beyond the first derivative.
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Related Questions
Type the correct answer in each box.
x f(x)
-1
1
2
3
3
6
5
7
7 8
The values in the table define the function f (x). The value of f-¹ (3) is
Reset
Next
, and the value of f¹ (8) is
Answers
The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7
How to determine the values of the inverse functionsFrom the question, we have the following parameters that can be used in our computation:
x f(x)
-1 3
1 6
2 5
3 7
7 8
Using the above as a guide, we have the following:
f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation
So, we have
f-¹ (3) = -1 and f-¹ (8) = 7
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One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation in slope-intercept form that represents the amount y of money you have raised after x miles.
y=
Answers
Answer:
y = 0.70x- 10.00
Step-by-step explanation:
-- Since one friend gave you 10.00 ,subtractthis from the 13.50 to give you the amount earned by walking the 5 miles
-- 13.5-10.00 = $3.50
-- Since you walked 5 miles, divide by 5 to give you 0.70 per mile earned.
So, an equation that represents the amount of money earned is:
y = 0.70x- 10.00 . This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
Gabby worked 40 hours in 5 days. Determine the rate for a ratio of the two different quantities.
Answers
The required rate for ratio of the two different quantities i.e
Gabby worked 40/5 hours per day.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Gabby worked 40 hours in 5 days.
According to given question we have
The ratio of the two quantities of the different kind and in the different units is a fraction that shows how many times one quantity is of the other.
By the use of arithmetic we have,
Gabby worked 40 hours in 5 days means
\(\sf 5 \ days= 40 \ hours\)
\(\sf 1 \ days = \dfrac{40}{5} \ hours\)
Therefore, the required rate for ratio of the two different quantities i.e
Gabby worked 40/5 hours per day.
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ParagraphAdobe Acrobat1. A football is kicked at ground level with an initial velocity of 64 feet per second.1. standard form: y = -167 +64IV. Graph:II. vertex form: y--161 - 2) + 64SHIRIIII. intercept form: y = -1611 - 4)a. To find the maximum height of the football.Form: (choose) Explanation:I II III IVb. To find the height after 3 secondsExplanation:Form: (choose)I II III IVC. To find the time when the football hits the ground.Form: (choose)Explanation:I II III IV
Answers
Given the equation below,
\(y=-16t^2+64t\)To find the maximum point, dy/dt = 0.
Differentiating the equation above,
\(\begin{gathered} y=-16t^2+64t \\ \frac{dy}{dt}=-32t+64 \end{gathered}\)Where dy/dt = 0,
\(\begin{gathered} -32t+64=0 \\ -32t=-64 \\ t=\frac{-64}{-32}=2 \end{gathered}\)Substituting for t into the equation, maximum height is'
\(\begin{gathered} y=-16t^2+64t \\ \text{Where t = 2} \\ y=-16(2)^2+64(2) \\ y=-16(4)+128_{} \\ y=-64+128=64 \end{gathered}\)Hence, the maximum height of the football is 64 ft.
The vertex form is to be used which is given below as,
\(y=-16(t-2)^2+64\)Where (h, k) represents the coordinate of the vertex and k is the maximum height.
Please help Please help
Answers
Answer:
13
Step-by-step explanation:
All you have to do it count the ticks until you get to the point. Think of them like little hops. You count the number of hops it takes to get to the next point.
All of the following are rational numbers: .5, 7, V16
O True
O False
Answers
Answer:
Your answer is: A) True
( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Step-by-step explanation:
Hope this helped : )
Q4) Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race: In less than 160 minutes? * 0.764 0.765 0.0764 0.0765 In 215 to 245 minutes? * 0.1128 O 0.1120 O 0.1125 0.1126
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a. The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.
b. The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.
a. To find the probability for each scenario, we'll use the given normal distribution parameters:
Mean (μ) = 190 minutes
Standard Deviation (σ) = 21 minutes
Probability of completing the road race in less than 160 minutes:
To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.
Using the z-score formula: z = (x - μ) / σ
z = (160 - 190) / 21
z ≈ -1.4286
We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.
From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.
Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.
b. Probability of completing the road race in 215 to 245 minutes:
To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.
First, we calculate the z-scores for each endpoint:
For 215 minutes:
z1 = (215 - 190) / 21
z1 ≈ 1.1905
For 245 minutes:
z2 = (245 - 190) / 21
z2 ≈ 2.6190
Next, we find the cumulative probabilities for each z-score.
From the standard normal distribution table:
The cumulative probability for z ≈ 1.1905 is approximately 0.8820.
The cumulative probability for z ≈ 2.6190 is approximately 0.9955.
To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:
Probability = 0.9955 - 0.8820
Probability ≈ 0.1125
Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.
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20% of what number is 5?
Answers
Answer:
25 ans
Step-by-step explanation:
5 * (100 /20) = 25
so, 20% of 25 is 5
Answer:
x=25
Step-by-step explanation:
0.2x=5
x=25
aggregate planning occurs over the medium or intermediate future of 3 to 18 months. true or false
Answers
Aggregate planning occurs over the medium or intermediate future of 3 to 18 months. The given statement is true.
What is aggregate planning?
Aggregate planning is a forecasting technique used to determine the production, manpower, and inventory levels required to meet demand over a medium-term horizon. A time horizon of 3 to 18 months is typically used. It is critical to create a unified production schedule that takes into account capacity constraints and manufacturing efficiency while balancing production rates with consumer demand. The goal of aggregate planning is to accomplish the following objectives:
Optimization of the utilization of production processes and human resources.Creating a stable production plan that meets demand while minimizing inventory costs.Controlling the cost of changes in production rates and workforce levels.Achieving efficient and effective scheduling that responds quickly to demand fluctuations while avoiding disruption in production.
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A high school auditorium contains 208 students. The
ratio of boys to girls is 7:6. How many boys are in the
auditorium?
Answers
Answer:
boys=112
Step-by-step explanation:
g+b=208
6b=7g
6b=7(208-b)
6b=1456-7b
6b+7b=1456
113b=1456
divide both of them by 13 it gives 112 boys
I need help with this 1 quick question
Answers
Answer:
as in pic below
Step-by-step explanation:
Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
Answers
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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each year, students in an elementary school take a standardizzed math test at the end of the school year. for a class of fourth-graders, the average score was 55.1 with a standard deviation of 12.3. in the third grade, these same students had an average score of 61.7 with a standard deviation of 14.0. the correlation between the two sets of scores is r
Answers
Answer:
y = 0.835x + 3.58
Step-by-step explanation:
Which equation represents f(x)?
O f(x) = -
O f(x) = -x-1
Of(x) = 3/-x-1
Of(x) = -x
Answers
Answer:
it is the second one
Step-by-step explanation:
how would you respond to a statement that says that by increasing the sample size, the amount of sampling error will be decreased?
Answers
The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.
Given that,
That by increasing the sample size, the amount of sampling error will be decreased
Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.
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One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers.
PLEASE HELP ME I HAVEN'T STARTED ITS DUE TMRW
Answers
Answer:
The perfect square lockers are the only ones left open.
Step-by-step explanation:
Here is a legit link to an explanation of this old puzzle problem!
https://36university.com/act-math-locker-problem-solution/
Quoting from that page:
Method 2: Who Touches Which Lockers
Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.
Here’s what I mean:
Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.
Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.
Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.
Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.
Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.
By this logic, every locker would be closed.
But there are exceptions!
Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.
Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.
Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
subtact (7x+2) from (-6x+8)
Answers
(-6x+8)-(7x+2)
4 -6x + 8 -7x - 2
= -13x + 6
Answer:
Step-by-step explanation:
(-6x + 8) - (7x + 2) = -6x + 8 - 7x - 2 {Distribute property}
= (-6x - 7x) +( 8 - 2) {Combine like terms}
= -13x + 6
Susie needs to melt some chocolate to use in a recipe she found in a cookbook. The cookbook calls for melting the chocolate at a low temperature of 30 degree celsuis . What temperature in degrees Fahrenheit will she need to set her stove to melt the chocolate? Round your answer to the nearest whole degree. The solution is
Answers
Answer:
The temperature needed to melt the chocolate = 86 degree Fahrenheit.
Step-by-step explanation:
The given temperature = 30 degrees Celsius.
Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.
Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answers
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
HABITS
9 of Mind
Make Sense of Problems Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally. I need to get my homework done
Answers
The result of the multiplication is 24,000.
How to multiply any number with 10?Multiplication is simply repeated addition, and it is a crucial skill to master.
What occurred if we multiply by ten? 4 * 10 equals 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + What does this add up to? It adds up to 40. Take a look at that. We have a 4 and a 0 just at end.While multiplying whole digits by ten, surely add a 0 to a end of the number to get the answer. 5 * 10 equals a 5 with a 0 just at end: 50. 3 * 10 equals 30 (a 3 with such a 0 at the end).For the given multiplication;
= 10 x 20 x 30 x 40
This could be written in the terms of 10.
= 10 x 2 x 10 x 3 x 10 x 4 x 10
Simply count the 10 and put the same number of zero after 1 and multiply remaining.
= 2 x 3 x 4 x 10000
= 24 x 10,000
Now, put the same number of zero after the number 24.
= 240,000
Therefore, the given multiplication is solved using simple mental maths.
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The correct question is -
Explain how using basic facts can help you find 10 x 20 x 30 x 40 mentally.
2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answers
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
A box contains 5 red balls and 8 white balls. In how many ways can we choose 6 balls, 3 of which are white?
Answers
Answer:
you would have 3 white balls and 3 red balls
Step-by-step explanation:
which measure of central tendency can be computed only from interval or ratio data? mode median mean all of these must be computed from interval or ratio data. none of these can be computed from interval or ratio data.
Answers
The mean can only be used with interval/ratio level data.
what is ratio data ?
Ratio data is a form of quantitative (numeric) data. It measures variables on a continuous scale, with an equal distance between adjacent values. While it shares these features with interval data (another type of quantitative data), a distinguishing property of ratio data is that it has a 'true zero.
What are mean , median and mode?
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Hence, the mean can only be used with interval/ratio level data.
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Help
A right triangle is drawn inside a sphere, and the hypotenuse is 16 cm. Explain how to find the volume of the sphere and show your calculations. Round the radius to the nearest hundredth and use that rounded radius to calculate the volume. Round the volume to the nearest hundredth.
Answers
Answer: The volume of a sphere can be calculated using the formula V = 4/3 * pi * r^3, where V is the volume and r is the radius of the sphere. In this case, we can use the Pythagorean theorem to find the radius of the sphere. The hypotenuse of the right triangle is 16 cm and is also the diameter of the sphere, therefore the radius of the sphere is half of the hypotenuse or 8 cm.
Now we can use this value of radius to calculate the volume of the sphere.
V = 4/3 * pi * 8^3
V = 4/3 * pi * 512
V = 2197.333 cm^3 (rounded to the nearest hundredth)
So, the volume of the sphere is 2197.333 cm^3
Step-by-step explanation:
Can someone help me …………….
Answers
A: (0, 10)
B: (0, 75)
Domain = Highest and lowest x value
Range = Highest and lowest y value
Hope this helps
Explain why all of these expressions have the same value 100 divided 5 and 10 divided 0.5 and 1 divided 00.5
Answers
Answer: All of these expressions have the same value because the answer will always be 20.
Each dividend is 20 times the divisor.
Each dividend is 10 times the dividend below it.
Each divisor is 10 times the divisor below it.
The quotient of each pair of numbers is therefore the same.
Put the sides in order from smallest to largest ? 25 points!
Answers
Answer:
the answer is TA
Step-by-step explanation:
•i found the answer knowing that a triangles angles will always add up to 180°
•i added the two given angle (53°, 59°) then subtracted that sum from 180°
•Then i found that the missing angle was 68°
°i then found that the angles line up from smallest to largest is as follows: A-53° , P-59° , T-68°
• The answer that BEST describes this is TA
What are some practical applications of cube root for daily life
Answers
Step-by-step explanation:
We can use cube and cube roots in our daily life. Examples: cube roots are used in day to day mathematics like in power or in exponents.a census is a regularly-occurring and official count of a particular population. census data available at the united states census bureau website are an example of:private informationpublic beha
Answers
Census data available at the United States Census Bureau website is an example of public information.
Census data is collected by the government and is intended to provide statistical information about a population. It is considered public information because it is made available to the general public for research, analysis, and decision-making purposes.
The United States Census Bureau collects and publishes census data to ensure transparency and accessibility to a wide range of users, including policymakers, researchers, businesses, and the general public.
This data helps inform various aspects of society, such as planning public services, determining representation, and studying demographic trends. It is important to note that while individual responses to the census are confidential and protected by law, aggregated census data is made public to benefit society as a whole.
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What type of triangles does the Pythagorean Theorem apply to?
Answers
Answer: right angle triangle
Step-by-step explanation:
we only use Pythagorean theorem to find the length of the missing side of a right angle triangle only.