The second mixed partials of z = x^4 - 9xy - 6y^3 are equal.
What are the four second partial derivatives, and what is the observation about the second mixed partials?To find the four second partial derivatives, we first need to find the first partial derivatives:
\(∂z/∂x = 4x^3 - 9y\)
\(∂z/∂y = -9x - 36y^2\)
\(∂^2z/∂x^2 = 12x^2\)
\(∂^2z/∂y^2 = -72y\)
\(∂^2z/∂x∂y = -9\)
\(∂^2z/∂y∂x = -9\) (since the second mixed partial derivatives are equal)
Therefore, the four second partial derivatives are:
\(∂^2z/∂x^2 = 12x^2\)
\(∂^2z/∂y^2 = -72y\)
\(∂^2z/∂x∂y = -9\)
\(∂^2z/∂y∂x = -9\) (since the second mixed partial derivatives are equal)
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Please answer this it’s very hard for me
Answer:
C, D, E, F
Step-by-step explanation:
Remember y=mxb?
m is slope and b is y-intercept
so y=2/7x-9
Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.
Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.
Please see the image to help you viualize this.
1
3
1
miles in
20
hour. What
Park rangers at a game preserve in Africa observed a cheetah run 3
was the cheetah's speed in miles per hour (mph)?
9
A. mph
50
5
B. 5 mph
9
C. 72 mph
O D. 92 mph
Find the value of x
66°
6x
Answer:
x=11
Step-by-step explanation:
because those angles are = to eachother. Therefore, 66=6x which x =11
a spheres surface area decreases at a rate of 1 cm/min. Find the rate of change of the volume when the radius is 5cm,
When the radius of a sphere is 5cm and its surface area is decreasing at a rate of 1 cm/min, the rate of change of the volume is -25π cm³/min.
The surface area of a sphere is given by the formula A = 4πr², where 'A' is the surface area and 'r' is the radius. We are given that the surface area is decreasing at a rate of 1 cm/min, which means dA/dt = -1 cm²/min.
To find the rate of change of the volume, we can differentiate the volume formula with respect to time. The volume of a sphere is given by the formula V = (4/3)πr³, where 'V' is the volume and 'r' is the radius. Differentiating with respect to time, we get dV/dt = (4/3)π(3r²)(dr/dt).
Substituting the given values, we have dA/dt = -1 cm²/min and r = 5 cm. We can find dr/dt by rearranging the surface area formula: dr/dt = dA/dt / (4πr²). Substituting the values, we have dr/dt = -1 / (4π(5)²) = -1 / (100π) cm/min.
Now, we can substitute the values of dr/dt and r into the rate of change of volume formula to find dV/dt. We have dV/dt = (4/3)π(3(5)²)(-1 / (100π)) = -25π cm³/min.
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Zaboca Printing Limited (ZPL) has only one working printer. Eight (8) customers submitted their orders today Monday 6th June 2022. The schedule of delivery of these orders are as follows:
Jobs (in order of arrival) Processing Time (Days) Date Due
A 4 Monday 13th June 2022
B 10 Monday 20th June 2022
C 7 Friday 17th June 2022
D 2 Friday 10th June 2022
E 5 Wednesday 15th June 2022
F 3 Tuesday 14th June 2022
G 8 Thursday 16th June 2022
H 9 Saturday 18th June 2022
All jobs require the use of the only printer available; You must decide on the processing sequence for the eight (8) orders. The evaluation criterion is minimum flow time.
i. FCFS
ii. SOT
iii. EDD
iv. CR
v. From the list (i to iv above) recommend the best rule to sequence the jobs
The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.
The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.
In this case, applying the EDD rule, the sequence of jobs would be as follows:
D (Due on Friday 10th June)
F (Due on Tuesday 14th June)
E (Due on Wednesday 15th June)
C (Due on Friday 17th June)
G (Due on Thursday 16th June)
H (Due on Saturday 18th June)
A (Due on Monday 13th June)
B (Due on Monday 20th June)
By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.
Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.
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Perform the indicated operation and simplify the result. x/5+x/6
Hello loll6591!
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Perform the indicated operation and simplify the result. x/5+x/6
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \frac{x}{5} + \frac{x}{6} \\ \)
First, find the LCM of 5 & 6, which is 30.
\( \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} \)
Now add 6x/30 with 5x/30.
\( \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}\)
__________________
Hope it'll help you!
ℓucαzz ッ
Determine the solution to the inequality.
one third times the absolute value of the quantity x plus 1 end quantity is greater than or equal to 3
x ≤ −8 or x ≥ 8
x ≤ −10 or x ≤ 9
x ≤ −2 or x ≥ 2
x ≤ −10 or x ≥ 8
The solution of the inequality |x + 1| ≥ 3 is:
x ≥ 2 or x ≤ -4
How to solvethe inequality?Here we want to solve the absolute value inequality:
|x + 1| ≥ 3
The absolute value can be decomposed into two inequalities, these are:
(x + 1) ≥ 3
(x + 1) ≤ -3
Now we can solve these two inequalities to get:
x ≥ 3 - 1 = 2
x ≤ -3 - 1 = -4
Then the solution is:
x ≥ 2 or x ≤ -4
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Answer: Its D
Step-by-step explanation:
I looked up the answer
Can someone please help me figure out the answer
Answer:
19 folders
Step-by-step explanation:
8 + 6 + 5 = 19
please someone help
We know that (A) ∠h = 28° as the angle pair ∠h and ∠I are alternate angles and hence they are equal.
What are Alternate angles?The intersection of two parallel lines by a transversal produces alternate angles.
Because they are not additional angles, alternate angles often don't add up to 180 degrees, although they can if the transversal is perpendicular to the parallel lines.
So, by observing the figure we can easily state that:
∠h and ∠I are a pair of alternate angles and hence they must be equal.
So, according to this:
∠h = 28°
Therefore, we know that (A) ∠h = 28° as the angle pair ∠h and ∠I are alternate angles and hence they are equal.
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Compare the following models based on goodness of fit: Model A: y=α1+α2lnx2+uRA2=0.75 Adjusted- RA2=0.74 Model B: In y=β1+β2x2+β3x3+vRB2=0.74 Adjusted- RB2=0.73 Model C: lny=δ1+δˉ2x2+δ3x3+δ4lnx1+eRB22=0.78 Adjusted-R R2=0.72 Model D: y=ν1+y4x4+wRD2=0.76 Adjusted- RD2=0.75 a. B>C & D>A; and other combinations cannot be compared b. C>B & D>A; and other combinations cannot be compared c. C>D>A>B d. D>A>B>C The variables in our dataset include the college grade point average (colGPA), high school GPA (hsGPA), and achievement test score (ACT) for a sample of 141 students from a large university; both college and high school GPAs are on a four-point scale. We estimate the following model by OLS: colGPA =β1+β2 hsGPA+ β2ACT+ω1 and obtain the following parameter estimates β1=0,6,β1=0.35, and β2=0.032. Predict the college GPA of a student with high school GPA of 3.3 and ACT score of 31.
The predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.
To compare the models based on goodness of fit, we need to look at the adjusted R-squared values. The adjusted R-squared adjusts for the number of predictors in the model and provides a measure of how well the model fits the data while considering the degrees of freedom.
Comparing the models:
Model A: Adjusted R-squared = 0.74
Model B: Adjusted R-squared = 0.73
Model C: Adjusted R-squared = 0.72
Model D: Adjusted R-squared = 0.75
Based on the adjusted R-squared values, we can see that Model D has the highest value (0.75), indicating the best goodness of fit among the four models. Model A has the second-highest value (0.74), followed by Model B (0.73), and Model C (0.72).
Therefore, the correct answer is:
d. D>A>B>C
Now, let's move on to the second part of your question regarding predicting the college GPA of a student.
The estimated model is:
colGPA = β1 + β2 hsGPA + β3 ACT + ω1
Given:
β1 = 0.6
β2 = 0.35
β3 = 0.032
hsGPA = 3.3
ACT = 31
To predict the college GPA of a student, we substitute the values into the equation:
colGPA = 0.6 + (0.35 * 3.3) + (0.032 * 31)
= 0.6 + 1.155 + 0.992
= 2.747
Therefore, the predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.
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Find the surface area of a square pyramid with side length 3km and slant height 3km
Answer:
18.4 km^2
Step-by-step explanation:
Surface area of a square pyramid = A=a²+2a√ h²
a = side length
h = slant height
3² + 2(3) x√ (9/4) x 3²
The following are the temperatures of 10 days in winter in °C.
7
,
6
,
−
3
,
10
,
10
,
5
,
10
,
1
,
10
,
−
2
Work out the mean temperature.
Answer: 0.2
Step-by-step explanation:
add all the numbers and divide the amount of numbers there is
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 49. a. Find the probability that in a sample of 13 customers, none of the 13 will order a nonalcoholic beverage. (Round your answer decimal places.) Probability b. Find the probability that in a sample of 13 customers, at least 6 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability nonalcoholic beverage (Round your answer to 4
The probability that none of the 13 customers will order a nonalcoholic beverage is 0.0083. The probability that at least 6 out of the 13 customers will order a nonalcoholic beverage is approximately 0.9535.
a. To find the probability that none of the 13 customers will order a nonalcoholic beverage, we can use the binomial probability formula. The probability of each customer not ordering a nonalcoholic beverage is 1 - 0.49 = 0.51. Since each customer's choice is independent, we can multiply the probabilities together. Therefore, the probability that none of the 13 customers will order a nonalcoholic beverage is 0.51^13 ≈ 0.0083.
b. To find the probability that at least 6 out of the 13 customers will order a nonalcoholic beverage, we need to calculate the probabilities of different scenarios: 6, 7, 8, 9, 10, 11, 12, or 13 customers ordering a nonalcoholic beverage. We can use the binomial probability formula to calculate each probability and then sum them up. The probability of exactly k customers ordering a nonalcoholic beverage is given by the formula (13 choose k) * (\(0.49^k\)) * (\(0.51^(13-k)\)). By calculating the probabilities for k = 6 to 13 and summing them, we find that the probability of at least 6 customers ordering a nonalcoholic beverage is approximately 0.9535.
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Click through the graphs and select the one that could represent the relationship be
time, t, for the cell phone plan shown below.
time in hours 0 1 2 3
cost in dollars 10 13 16 19
Cost in dollars
20
18
16
14
4
2
2
3
Time in Hours
4
S
The linear function for the cost is given as follows:
C(t) = 10 + 3t.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.We have that each hour, the cost increases by $3, hence the slope m is given as follows:
m = 3.
For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:
b = 10.
Thus the function is given as follows:
C(t) = 10 + 3t.
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my gf needs help with her work and I'm not very good at geometry, pls help
Answer:
no
Step-by-step explanation:
The quality of computer disks Is measured by sending the disks through a certifier that counts the number of missing pulses. A certain brand of computer disk has averaged 0. 1 missing pulse per disk. Find the probability that two next inspected disk will have no missing pulse, Find the probability that the next inspected disk wkl have more than one missing pulse, Find the probabihty that neither of the next two inspected disks will contain any missing pulse
Using Poisson distribution ,
a) The probability that two next inspected disk will have no missing pulse is 0.905...
b) The probability that the next inspected disk will have more than one missing pulse is 0.005..
c) The probabihty that neither of the next two inspected disks will contain any missing pulse is 0.819..
Poisson distribution:
It can be defined as a probability distribution resulting from a Poisson experiment. A Poisson experiment is a statistical experiment that divides the experiment into two categories Success or Failure. The Poisson distribution is a restricted process of the binomial distribution.
A Poisson random variable “x” defines the number of successes in the experiment.
Poisson Probability function is represent as given below i.e Mathematically,
P(x, lamda ) = (e ⁻λ (λ ))/x!
where, λ --> an average rate of value
x --> Poission random variable
e ----> base for the logarithm
we have given that,
The quality of computer disk is measured .
averaged missing pluse per disk in a computer disk brand (λ) = 0.1
let x be Poisson random variable which represents the number of missing pulse.
a) we want to find the probability that two next inspected disk will have no missing pulse
P(x= 0 ) = (e⁰·¹ )(0.1)^0/0! = 1/e⁰·¹ ×1/1
=> P(x=0) = 0.905
b) The probability that the next inspected disk will have more than one missing pulse, P(x>1)
P(x>1) = 1 - P(x=0) - P(x=1) = 1 - 0.905 - e⁰·¹(0.1)/1!
= 1 - 0.905 - 0.0905 = 0.0045 ~ 0.005
c) We can assume the disks are independent. the probabihty that neither of the next two inspected disks will contain any missing pulse
P(X = 0 on first disk and x = 0 on second disk) = P(X = 0).P(X = 0) =(0.905)².
= 0.819
Hence, we got all the required probabilities for different cases that is for a) 0.905 b) 0.005 c) 0.81
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b. consider the following system, where you are applying a load p: mathematically, show which system is harder to tip over if a = 0.75b, b = 10, and c = 0.5a. assume both blocks have the same weight.
If we consider a system where block A has a length of 0.75 times block B's length, block B has a length of 10, and block C has a length of 0.5 times block A's length, we can determine which block is harder to tip over.
To analyze the stability of the system, we can compare the center of mass of each block relative to its base of support. The block with a higher center of mass is more likely to tip over.
For block A, its center of mass is located at a distance of 0.375 times its length from its base.
For block B, its center of mass is located at a distance of 5 units from its base.
For block C, its center of mass is located at a distance of 0.375 times block A's length from its base.
Comparing the distances, we see that block B has the highest center of mass at 5 units, making it easier to tip over compared to blocks A and C. Thus, in this system, block B is harder to keep stable and more prone to tipping over.
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2 Points
Chelsea saw an advertisement for a loan that offered 6 months, same as
cash. If she takes the loan, which of these scenarios is most likely to occur?
O
A. Chelsea won't be charged interest for the first 6 months of the
loan, but she will have to make payments for the first 6 months.
O
B. Chelsea will be charged interest for the first 6 months of the loan,
and she will also have to make payments for the first 6 months.
O
C. Chelsea will be charged interest for the first 6 months of the loan,
but she won't have to make payments for the first 6 months.
D. Chelsea won't be charged interest for the first 6 months of the
loan, nor will she have to make payments for the first 6 months.
Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)
A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.
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a photograph is 5 inches by 8 inches. a frame shop charges $3.00 per inch for a silver frame. how much would it cost to buy a silver frame for the photograph?
Answer: The total cost for the frame is $78.00
Step-by-step explanation:
Photograph size = 5 inches x 8 inches
Perimeter = 5 + 5 +8 + 8
Perimeter =26 inches
Cost = $3.00 / inch for a silver frame
Total frame cost = 26 inches x $3.00 = $78.00
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Caculate discounts for each item
Answer:
What are the items?
Step-by-step explanation:
In a video game, the player can choose their character. The choices are from 8 animals and 4 humans. Players can also let the game randomly choose
their character
If a player does the random selection, what is the probability that a human character will be chosen?
Enter your answer as a fraction in simplest form in the box
The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)
The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.
There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:
P(Human) = Number of human characters / Total number of characters
P(Human) = 4 / 12
Simplifying this fraction, we find:
P(Human) = 1 / 3
Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.
In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).
When we simplify the fraction 4/12, we find that it is equal to 1/3.
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Given the slope of a line is -2 and it passes through the point (4,-5), write the equationof the line in standard form.
Answer:
The equation of the line is;
\(y=-2x+3\)Explanation:
Given that
the slope of a line is -2 and it passes through the point (4,-5).
Applying the slope-intercept form of equation;
\(y-y_1=m(x-x_1)\)Substituting the values of the slope and coordinates;
\(\begin{gathered} y-(-5)=-2(x-4) \\ y+5=-2x+8 \\ y=-2x+8-5 \\ y=-2x+3 \end{gathered}\)Therefore, the equation of the line is;
\(y=-2x+3\)Answer:
2x + y = 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (4, - 5 ) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y = - 2x + 3 ← in slope- intercept form
add 2x to both sides
2x + y = 3 ← equation in standard form
The x-intercepts of a parabola are (-5, 0) and (3, 0). What is the function of the parabola?
ỌA 1x) = -2(x+2x-5)
OB. x) = -2(x²+2x-15)
OC. Rx) = -2(x²-2x-15)
OD. x) = -2(x²-2x-5)
The function of the parabola will be f(x) = -2(x²+2x-15)
Equation of a parabolaThe equation of a parabola are quadratic in nature.
If s graph has intercepts (a, 0) and (b, 0), the function will be equivalent to;
f(x) = (x-a)(x-b)
Since we are given the x-intercepts (-5, 0) and (3, 0), the function of the parabola will be:
f(x) = (x+5)(x-3)
Expand
f(x) = x^2 - 3x + 5x - 15
f(x) = x^2 + 2x - 15
Hence the function of the parabola will be f(x) = -2(x²+2x-15)
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Which number line shows the solution to 6+ -6
Answer:
Is there any pictures to go with the question?
Step-by-step explanation:
On a unit circle, the terminal point of beta is square root of 2/2, square root of 2/2. What is beta
The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.
To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.
The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.
The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:
cos(β) = sqrt(2)/2
cos(β) = sqrt(2)/2
We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.
So, β = π/4 or β = 45 degrees.
In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.
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solve 15 2x = 36. round to the nearest ten-thousandth.
To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.
If pH = -log [H+], find the pH of a substance that has a hydrogen concentration [H+] = 5.7 X 10-4.Round your answer to the nearest ten thousandth (4 decimals).
[H+] = -1.7243
Explanation:
Since [H+] = 5.7 * 10 - 4, in the function -log[H+] representing pH, replace H+
pH = -log [5.7 *10 - 4]
pH = -log[53]
pH = -1.7243
NB:
This number is rounded up from -1.72427.....
Anyone know what this is??
Answer:
no sorry
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
Cube root of 8/125
Solve for x.
\(3 \sqrt{ \times + 2 = } \sqrt{ \times + 4} \)
\(3 \sqrt{x + 2} = \sqrt{x + 4} \)
\((3 \sqrt{x + 2} )^{2} = ( \sqrt{x + 4} )^{2} \)
\(9x + 18 = x + 4\)
\(9x - x = 4 - 18\)
\(8x = - 14\)
\(x = - \frac{14}{8} \)
\(x = - \frac{7}{4} \)
Which expression is equivalent to P/6 +(q+8)