Answer:
Step-by-step explanation:
Given the function [tex]g(x,y) = x^{4}y+3siny+5ycosx[/tex]
before we can get its second order partial derivative, we need to get its first order first. The first order are δg/δx and δg/δy
δg/δx [tex]= 4x^{3}y - 5ysinx[/tex]
δg/δy = [tex]x^{4} +3cosy+5cosx[/tex]
The second derivatives are δ²g/δy², δ²g/δx², δ²g/ δyδx or δ²g/ δxδy
δ²g/δy² = δ/δy (δg/δy) = δ/δy([tex]x^{4}+3cosy+5cosx[/tex])
δ²g/δy² = -3siny
Similarly δ²g/δx² = δ/δx (δg/δx) = δ/δx([tex]4x^{3}y - 5ysinx[/tex])
δ²g/δx² = 12x²y-5ycosx
δ²g/ δyδx = δ/δy (δg/δx) = δ/δy ([tex]4x^{3}y - 5ysinx[/tex])
δ²g/ δyδx = 4x³ - 5sinx = δ²g/ δxδy ( for continuous function)
Help asap giving branlist!!
Answer:
the answer is right below the picture sir ;-;
Step-by-step explanation:
find the product of 4025 multiply 5 by using properties
Answer:
Change 4020 to 4000 + 25.
Then use the distributive property.
4025 * 5 = (4000 + 25) * 5 = 4000 * 5 + 25 * 5 = 20,000 + 125 = 20,125
Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
zero modes
(b) How man ndicate the number of mo vasluers) of the mode modes does the data set have, and what are eir values?
Question:
Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
b) How many modes does the data set have? and what are their values
Answer:
a) 21.2
b) Value of mode = 37
It contains just one mode
Step-by-step explanation:
Given:
x = 21, 39, 37, 25, 6,-6, -4, 40, 37
n = 9
a) Find the mean
Mean is the average value of a dataset.
Mean = Σx/n
Mean = [tex] \frac{21+39+37+25+6+(-6)+(-4)+40+37}{n} [/tex]
[tex] = \frac{195}{9} [/tex]
[tex] = 21.667 [/tex]
The question says one decimal place.
Therefore, mean = 21.7
b) The mode of a dataset is the value that appears most frequently.
We have the following datasets:
21, 39, 37, 25, 6,-6, -4, 40, 37
The value that appears most frequently here is 37.
37 appeared twice while the rest appeared just once.
Therefore the dataset contains just one mode
6 people will attend a lunch 2 cans of juice should be provided per person determine the total number of cans of juice required
Answer:
12
Step-by-step explanation:
it's 6 people and 2 cans of juice goes to each person so you can multiply 6× 2 and you get 12 . 12 cans of juice would be required to provide 6 people with 2 cans each .
In the diagram below, AABC ~ ADEC. What is the value of x?
Answer:
c is the answer just did the quiz
The value of x in the triangle is 26.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
If two triangles are similar,
The ratio of its corresponding sides is equal.
This means,
ΔABC and ΔCDE
AB/AC = ED/CD
42/x = 8/(32 - x)
42 (32 - x) = 8x
1344 - 42x = 8x
1344 = 50x
x = 1344/50
x = 26.88
x = 26
Thus,
The value of x in the triangle is 26.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
0.5(repeated)+0.1(repeated)-0.3(repeated)?
Answer:
[tex]\dfrac{1}{3}=0.\overline{3}[/tex]
Step-by-step explanation:
Since a single digit is repeated in each case, and since the repeat starts at the decimal point, the fraction corresponding to the repeated digit is that digit divided by 9.
[tex]0.\overline{5}+0.\overline{1}-0.\overline{3}=\dfrac{5}{9}+\dfrac{1}{9}-\dfrac{3}{9}=\dfrac{5+1-3}{9}=\dfrac{3}{9}\\\\=\boxed{\dfrac{1}{3}}[/tex]
_____
Comment on equivalents to repeating decimals
The number of 9s in the denominator equals the number of repeated digits.
0.2727(repeated) = 27/99 = 3/11 . . . . . 2 repeated digits
HELP ME PLS I DO NOT UNDERSTAND A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution. b. What is the mean of this probability distribution?
f(x)=1, 0 < x < 1 is the probability density function of the random variable x.
generally, it is f(x)=1/(b-a) a < x < b;
where b=1 and a=0.
b) mean = integral (0 to 1) xdx = (0 to 1) = 1/2
c)integral( 0.35 to 0.6) dx =x (between 0.35 and 0.6) = 0.6-0.35=0.25
d) integral(less than 0.82)dx = x (between 0 and 0.81) = 0.81 - 0 = 0.81
Please mark me brainliest!
write an equation for an ellipse centered at the origin, which has foci at (+-3,0) and co vertices at (0+-4)
Answer:
The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:
[tex]\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1[/tex]
Step-by-step explanation:
An ellipse center at origin is modelled after the following expression:
[tex]\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1[/tex]
Where:
[tex]a[/tex], [tex]b[/tex] - Major and minor semi-axes, dimensionless.
The location of the two co-vertices are (0, - 4) and (0, + 4). The distance of the major semi-axis is found by means of the Pythagorean Theorem:
[tex]2\cdot b = \sqrt{(0-0)^{2}+ [4 - (-4)]^{2}}[/tex]
[tex]2\cdot b = \pm 8[/tex]
[tex]b = \pm 4[/tex]
The length of the major semi-axes can be calculated by knowing the distance between center and any focus (c) and the major semi-axis. First, the distance between center and any focus is determined by means of the Pythagorean Theorem:
[tex]2\cdot c = \sqrt{[3 - (-3)]^{2}+ (0-0)^{2}}[/tex]
[tex]2\cdot c = \pm 6[/tex]
[tex]c = \pm 3[/tex]
Now, the length of the minor semi-axis is given by the following Pythagorean identity:
[tex]a = \sqrt{b^{2}-c^{2}}[/tex]
[tex]a = \sqrt{4^{2}-3^{2}}[/tex]
[tex]a = \pm \sqrt{7}[/tex]
The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:
[tex]\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1[/tex]
how many lines of symmetry can a parallelogram have? explain.
Answer:
0
Step-by-step explanation:
The lines of symmetry of a parallelogram must either be a diagonal of the parallelogram or must be bisectors of opposite sides. There is no way to draw such lines through a general parallelogram and have it produce mirror images on either side of the line. Thus, it has no lines of symmetry.
5:36, 2:9, 3:18, 1:3 what is the largest ratio? please help me!
Answer:
[tex]1:3[/tex]
Step-by-step explanation:
[tex]5:36=5/36[/tex]
[tex]\approx 0.13888888888[/tex]
[tex]2:9=2/9[/tex]
[tex]\approx 0.22222222222[/tex]
[tex]3:18=1/6[/tex]
[tex]\approx 0.16666666666[/tex]
[tex]1:3=1/3[/tex]
[tex]\approx 0.33333333333[/tex]
Answer:
1:3
Step-by-step explanation:
GCF of 36, 9, 18, 3 is 36
5:36
2:9= 8:36
3:18= 6:36
1:3= 12:36
1:3 is the largest ratio.
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function in your final answer include the table of function values f(x)=2^x h(x)=x^3+x+8
Answer:
When x = 10, or when f(x) = 1024, or any value greater than that.
Step-by-step explanation:
For f(x): 1x = 2, 2x = 4, 3x = 8, 4x = 16, 5x = 32, 6x = 64, 7x = 128, 8x = 256, 9x = 512, 10x = 1024
for g(x) 1x = 10, 2x = 19 3x = 38, 4x = 72, 5x = 128, 6x = 230, 7x = 358, 8x = 528, 9x = 746, 10x = 1018
Answer:
When x = 10, or when f(x) = 1024, or any value greater than that.
Step-by-step explanation:
Find the length of a rectangle with a diagonal of 10 and a height of 8.
Answer:
The length of the rectangle is 6.
Step-by-step explanation:
Given: The diagonal of a rectangle is 10 and the height is 8.
Please understand, that a diagonal, divides the rectangle into two tringles.
To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!
EXTRA:
If you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.
Instead of 5, a diagonal of 10 is given (factor of 2 bigger).
Instead of 4, the height of 8 is given (factor of 2 bigger). By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?
Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).
a² + b² = c²
a = length (and is unknown)
b = height = 8
c = hypothenusa/diagonal = 10
Substitute the numbers given:
a² + 8² = 10²
Subtract 8² left and right of the = sign.
a² +8² -8² = 10² - 8²
a² + 0 = 100 - 64
a² = 36
a = + - √36
a = + - 6
EXTRA:
You can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.
a = 6
So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.
100 POINTS!!!!! PlZ help Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits.
Answer:
Y = 1, E = -1, A= 1, R = -1
Step-by-step explanation:
YYYY - EEE + AA - R = 1234
First we would break down the digits in the whole numbers into their place value (thousands, hundreds, tens and units).
YYYY = 1000Y + 100Y +10Y + Y
EEE = 100E + 10E + E
-EEE = -100E - 10E - E
AA = 10A + A
R = R
-R = -R
1234 = 1000+200+30+4
Let's equate each place value for each of the numbers.
Thousands: 1000Y = 1000
Y = 1000/1000 = 1
Hundreds: 100Y - 100E = 200
100(1) - 100E = 200
-100E = 200-100
-100E= 100
E = -1
-EEE = -E(111)
Tens: 10Y - 10E + 10A = 30
10(1) - 10(-1) + 10A = 30
20+ 10A = 30
A = 10/10
A= 1
Units: Y - E + A - R = 4
1 - (-1) + 1 - R = 4
3-R = 4
R = 3-4 = -1
YYYY - EEE + AA - R = 1234
1111 - (-111) + 11 - (-1) = 1111+111+11+1 = 1234
All possible values of the digits Y, E, A, R are Y = 1, E = -1, A= 1, R = -1
Answer:
Y=2
E=9
A=1
R=0
Step-by-step explanation:
Let's check our work.
2,222 - 999 + 11 - 0
1,223 + 11 - 0
1,234 - 0
1,234
Also previous answerer how can digits be negative?
Question 6 of 25
2 Points
Which of the following would be a good name for the function that takes the
weight of a box and returns the energy needed to lift it?
A. Box(cost)
B. Weight(energy)
C. Weight(box)
D. Energy(weight)
Answer:
C
Step-by-step explanation:
because you need the energy of the box to lift it, as my old professor used to say " you can only push on somthing as much as it can push you back "
Answer:
D. energy(weight) is the correct answer
hope this helps
A large school district notices that about 26% of its sophomore students fail Algebra I. An online education supplier suggests the district try its new technology software, which is designed to improve Algebra 1 skills and, thus, decrease the number of students who fail the course. The new technology software is quite expensive, so the company offers a free, one-year trial period to determine whether the Algebra 1 pass rate improves. If it works, the district will pay for continued use of the software. What would happen if the school district makes a Type I error
Answer:
In the case of a Type I error, the null hypothesis would be wrongly rejected and the school district will conclude that the new technology is effective when it is not.
They will start to pay for the software when in fact it does not improve Algebra 1 skills.
Step-by-step explanation:
A Type I error happens when a true null hypothesis is rejected.
The probability of a Type I error is equal to the significance level, as it is the probabilty of getting an sample result with low probability but only due to chance, as the null hypothesis is in fact true.
In this scenario, the null hypothesis would represent the claim that the new technology does not make significant improvement.
In the case of a Type I error, this null hypothesis would be wrongly rejected and the school district will conclude that the new technology is effective when it is not.
They will start to pay for the software when in fact it does not improve Algebra 1 skills.
Please answer this correctly
Answer:
New mean will be( 8 + 3 + 4 + 2 + 8) / 2
= 25/5 = 5 (old was 6)
New median will be 4 (old was 8)
Answer:
Mean, Mean would change the most the original mean was 28.4, after replacing 9 with 4 it changed to 23.4. With the difference of 5.
Step-by-step explanation:
Mode will stay the same with the repetition of 8, median will be a 4 difference from 8 to 4
4. (07.04 MC)
An observer (0) spots a plane (P) taking off from a local airport and flying at a 23° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B)
circling directly above her. If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Answer:
11779 ft
Step-by-step explanation:
We are given that
[tex]\theta=23^{\circ}[/tex]
Distance between tower and plane,d=5000 ft
We have to find the distance between the plane and bird.
Let x be the distance between bird and plane
We know that
[tex]tan\theta=\frac{perpendicular\;side}{Base}[/tex]
Using the formula
[tex]tan23=\frac{5000}{x}[/tex]
[tex]x=\frac{5000}{tan23}=11779.3 \approx 11779ft[/tex]
Hence, the distance between the plane and bird=11779 ft
Answer:
11779 ft
Step-by-step explanation:
We are given that
Distance between tower and plane,d=5000 ft
We have to find the distance between the plane and bird.
Let x be the distance between bird and plane
We know that
Using the formula
Hence, the distance between the plane and bird=11779 ft
There are 748 identical plastic chips numbered 1 through 748 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 513? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
1/748 or about 0.0013
Step-by-step explanation:
Since there is an exactly equal probability of drawing any of the chips, the probability of drawing the one numbered 513 is:
[tex]\dfrac{1}{748}\approx 0.0013[/tex]
Hope this helps!
Pete is making decorations for a dinner party.The instructions tell him to use 9 flowers for a medium-sized decoration.Complete each statement to adjust the flowers for different-sized decorations based on these instructions.
Answer:i need points
Step-by-step explanation:bleep bop boop
Share £45 in the ratio of 2:3.
Answer:
18:27
Step-by-step explanation:
2:3= 2 parts to 3 parts
Total is 5 parts
45/5 parts- each part is 9
2(9)=18
3(9)=27
Answer:
[tex]\£ 18: \£27[/tex]
Step-by-step explanation:
[tex]\frac{45}{2+3}[/tex]
[tex]\frac{45}{5}=9[/tex]
[tex]2:3[/tex]
[tex]2 \times 9 : 3 \times 9[/tex]
[tex]18:27[/tex]
What was the sampling method that was used in the scenario? A study was done to determine the age, the number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas. The first house in the neighborhood around the park was selected randomly, and then the resident of every eighth house in the neighborhood around the park was interviewed.
Answer:
The sampling method that was used in the scenario is systematic sampling.
Step-by-step explanation:
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and following a static, periodic interval.
For instance, consider a study where the researcher first selects a name randomly from the alphabetized order and then follow a fixed pattern of selecting every 10th person from the population.
In this case, a study was done to determine the age, the number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas.
The first house was randomly selected from the neighborhood around the park.
Then, the resident of every 8th house in the neighborhood around the park was interviewed.
So, the researcher selects a random house and then keep on selecting the houses in an interval of 8. This way the next house selected with be the 8th, the next the 16th, and so on.
Thus, the sampling method that was used in the scenario is systematic sampling.
The amount of saturated fat in a daily serving of a particular brand of breakfast cereal is normally distributed with mean 25 g and standard deviation 4 g.
a. Find the sampling distribution of the daily average saturated fat intake over a 30-day period (one month). Include the mean and standard deviation in your answer, as well as the name of the distribution.
b. What is the probability that the average daily saturated fat intake for the month was more than 27 g?
Answer:
a) [tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]
And replacing we got:
[tex]\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730) [/tex]
b) [tex] z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739[/tex]
And using the normal standard distribution table and the complement rule we got:
[tex] P(z>2.739) =1- P(z<2.739) = 1-0.997= 0.003[/tex]
Step-by-step explanation:
From the info given if we define the random variable X as "amount of saturated fat in a daily serving of a particular brand of breakfast cereal " we know that the distribution of X is given by:
[tex] X \sim N(\mu =25, \sigma =4)[/tex]
Part a
For this case the sample size would be n =30 and then the distribution for the sample mean would be given by:
[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]
And replacing we got:
[tex]\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730) [/tex]
Part b
We want to find this probability:
[tex] P(\bar X >27)[/tex]
And we can use the z score formula given by:
[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739[/tex]
And using the normal standard distribution table and the complement rule we got:
[tex] P(z>2.739) =1- P(z<2.739) = 1-0.997= 0.003[/tex]
Consider the function f(x) = 3x and the function g, which is shown below. G(x)=F(x)-2=3^x-2 How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the right. C. The graph of g is the graph of f shifted 2 units down. D. The graph of g is the graph of f shifted 2 units to the left. Reset Next
H E L P
Answer:
C. The graph of g is the graph of f shifted 2 units down
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
represents a translation h units right and k units up.
You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.
The graph of g is the graph of f shifted 2 units down.
Answer:
C
Step-by-step explanation:
I just took the test on edmentum
a personality test maybe given to assess what
Answer:
A personality test may be given to assess individual behavior patterns. A personality test may be given to assess individual behavior patterns. This answer has been confirmed as correct and helpful.
Step-by-step explanation:
hopes this helps
Answer:
Interests, values, skill set and basic personality
Step-by-step explanation:
Personality tests are mostly used as an assessment tool be HR managers and employers during the interview process. They can provide a potential employer with information about your interests, values, skill set and even basic personality, which can be very useful to help an employer make a decision about whether you are the best fit for a position.
I hope this helped. I am sorry if you get this wrong.
Use the Binomial theorem to expand and where possible simplify the expression. (1+√3)^4 +(1-√3)^4
Answer:
=56
Step-by-step explanation:
Binomial theorem: (x+y)=x²+2xy+y² or (x-y)=x² -2xy+y²
(1+√3)⁴ +(1-√3)⁴= ((1+√3)²)² +((1-√3)²)² = (1+2√3+3)² + (1-2√3+3)²=
=(4+2√3)² + (4-2√3)²= (16+16√3+12) + (16 - 16√3+12) =28+16√3+28-16√3=56
Square 100 * square 25 simplified
Answer:
50
Step-by-step explanation:
Both √100 and √25 are perfect squares:
√100 = 10
√25 = 5
10(5) = 50
EXREAMLY URGENT!! WILL FOREVER THANK YOU!!!! PLS JUST TAKE A LOOK!!!!!
17. Find the measure of DE
A) 14.5
B) 13.4
C) 12.3
D) 15.9
Answer:
C. 12.3
Step-by-step explanation:
We should use Law of Cosines: c² = a² + b² -2abcosC
If that is the case, then EF is a, DF is b, and ∠F is c. We then plug the known variables in:
c² = 12² + 13² - 2(12)(13)cos59°
Plug that into the calc and you should get 12.2313, rounded to 12.3 as your final answer!
Helen wants to buy 8 boxes of crayons at $1.94 per box for the day care center that she runs estimate the total cost of the crayons
Answer: $16
Step-by-step explanation:
1.94 * 8 = 15.52
$15.52 rounds up to $16
A company makes concrete bricks shaped like rectangular prisms. Each brick is 13 inches long, 5 inches wide, and 4 inches tall. If they used 11,700 in^3 of concrete, how many bricks did they make?
Answer:
45 bricks
Step-by-step explanation:
First we need to find the volume of one brick. The bricks are rectangular prisms. The volume formula for rectangular prisms is:
V=l*w*h
The bricks are 13 inches long, 5 inches wide and 4 inches high.
l=13 inches
w=5 inches
h=4 inches
V= 13 inches * 5 inches * 4 inches
V=65 inches^2 * 4 inches
V=260 inches ^3
Each brick has a volume of 260 inches^3. We know they used a total of 11,700 inches^3 of concrete. The question asks us to find how many bricks they made. We must divide the volume of concrete used by the volume of one brick.
concrete volume / one brick volume
concrete volume= 11,700 in^3
one brick volume= 260 in^3
11,700 in^3 / 260 in^3
11,700/260
45
They made 45 bricks.
Please answer this correctly
Answer:
5/7
Step-by-step explanation:
There are 7 cards, all of which have an equal chance of being chosen.
And in this case, because there are 7 cards in total, they each have a 1/7 chance of being chosen. Because there are 5 cards greater than 4, you have a 5x1/7 chance =5/7 chance of choosing a number greater than 4.
P.S. If you need it as a percentage, then it is 71.428571%.
P.P.S. Remember if you like the answer then mark as brainliest thank you!