what's the difference between dy/dx and d/dx?
Answer:
There is a slight difference but the result is the same.
In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.
In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.
Both notations mean ‘the function which is the differential of function y by x
Find the dependent value
for the graph
y = 12 + 5x
when the independent value is 3.
y = [?]
Answer:
Y = 27
Step-by-step explanation:
In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)
A random sample of n 1 = 249 people who live in a city were selected and 87 identified as a democrat. a random sample of n 2 = 113 people who live in a rural area were selected and 58 identified as a democrat. find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat.
Answer:
[tex]CI=\{-0.2941,-0.0337\}[/tex]
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.
We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:
[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
bonjour je n'y arrive pas, quelqu'un pourrait m'aider s'il vous plaît ?
Answers:
BD = 6
AC = 7.5
=================================================
Work Shown:
BD/BA = BE/BC
x/9 = 4/6
6x = 9*4
6x = 36
x = 36/6
x = 6
BD = 6
---------
DE/AC = BE/BC
5/y = 4/6
5*6 = y*4
30 = 4y
4y = 30
y = 30/4
y = 7.25
AC = 7.5
3
Find the surface area of the figure shown below.
1 mm
1 mm
1 mm
Figure not drawn to scale
Surface area is?
Answer:
6
Step-by-step explanation:
Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6
7
i need help!!
math geniuses pls help me!
please help!!!!
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Answer:
1 sick chick FIL a have to be there by the time
Answer:
B is the correct choice.
Explanation:
r = 4sin∅, a = 4, R = 2
[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]
Plot these points.
For the function, f(x) = 4x² − 7x + 13, find the value of f(-2).
43
29
15
4
Answer: 43
Step-by-step explanation: subsitute -2 into x
4(-2)^2 - 7(-2) + 13 = 43
theres 2 parts i need a awnser and i need to you to show your work please!!! WILL GIVE BRAINLIST!!!!!!!!!
Answer:
Part 1: See below ↓↓
You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.
Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks
Part 2 (kinda work)
What I did was I divided 1,450 by 5 and I got 290 so you would have to use 290 blocks to build the Empire State building out of blocks. The scale factor is 1 block per 5ft
Step-by-step explanation:
Question Progress 10 Homework Progress 17/ x: y = 2:3 Which is the correct equation? A 2x = 3y B 2y = 3x C y = x - 1 D y = x + 1
I need help on this it's only 1 attempt or I'll get a 1hr detention
Answer: 2y = 3x
Reason:
The equation x:y = 2:3 is the same as saying x/y = 2/3
Cross multiply to get 3x = 2y which flips to 2y = 3x
Good evening every one sorry to brother u but can someone answer this
3 - 3 / 1/3 + 1
Thank u very much
Answer:
-5
Step-by-step explanation:
3 - 9 + 1 = -6 + 1 = -5
Hope this helped! I would appreciate a Brainliest!
(BTW, if you can, can you please answer my question? It's due today!)
Figure D
-2
W
jures are congruent?
SA and B
SA and C
A and D
C and D
Answer:
the answer is figure A and C
helppppp ....Simpson Office Furniture pays Sam Hughes a $840 monthly salary plus a 7% commission on merchandise he sells each month. Assume Sam's sales were $18,600 for last month. Calculate the following amounts:
Answer:
$2,142
Step-by-step explanation:
7% of 18,600 is 1,302
Add this to 840 and you get a total of $2,142
Commission is $1,302
Gross pay is $840
What multiplies to 14 and adds to 15
14 and 15
to find:which number multiplies to 14 and add up to 15.
solution:[tex]1 + 14 = 15[/tex]
[tex]1 \times 14 = 14[/tex]
[tex] = 1[/tex]
therefore, the number which multiplies to 14 and add up to 15 is 1
= 1
because,
14×1 = 14
14+1= 15
6 tractors take 10 days to collect the harvest. How long would it take 10 tractors to do the same work?
Answer:
6 days
Step-by-step explanation:
Relation :
Number of tractors ∝ 1/Number of days6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.
Solving :
10 × 3/52 × 36 daysThe value of a in the equation, a-6=9 is
PLS HELP ME!!!
Answer:
15
Step-by-step explanation:
15-6=9 so a-6=9
Answer:
17
Step-by-step explanation:
17-6=9 (to double check your work and make sure it's right you do the opposite [9+6=17] )
Simplify this expression
20f-4(5f+4)+16
Solve step by step
20f - 4 (5f + 4) + 16
= 20f - 20f - 16 + 16
= 0
Answer:
0
Step-by-step explanation:
Distribute terms in the parentheses
20f - 4(5f + 4) + 1620f - 20f - 16 + 16 0 + 0 [20f and -20f, and -16 and 16 cancel out]0Help me with this question please
An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are F and C.
What is an associate?An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:
Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.
Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.
Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.
Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.
The points that are true about the given scatter plot are:
F.) A cluster appears to be at the bottom left corner.
C.) There appears to be a positive association.
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G(X)
Graph the function.
g(x) 1/2 x 2
See attachment for the graph of g(x) = 1/2x^2
How to graph the function?The equation of the function is:
g(x) = 1/2x^2
The above function is a quadratic function that has only one term
Next, we plot the graph using a graphing tool
See attachment for the graph of g(x)
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Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described? circle ellipse parabola hyperbola
The equation here can be described to be a circle.
How to solve for the parameterWe have the following equations
x = 5cos(t) - 7, and
y = 5sin(t) + 9
When rearranged we have
x + 7 = 5cos(t),
y - 9 = 5sin(t)
Square both equations
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Sum the equations
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
The equation above is that of a circle. The radius is 5 units. The center is (-7,9)
The formula for the equation of a circle is
(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²
The equation can be described as a circle.
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Answer: cirlce
Step-by-step explanation:
did it
The parent cosine function is transformed to create the function . which graphed function has the same amplitude as function m?
Based on the graph given, the option that will show the same amplitude as function m is graph D.
Which graphed function is this about?The cosine function is seen as:
f(x) = A*cos(kx) + M
And the functions are:
A stands for amplitude, k is angular frequency,M is the midline.When the function is m(x) = -2*cos(x+π).
The absolute value of the amplitude will be 2*|-2| = 4
Therefore, the option that can have the requirement above is graph D.
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GIVING BRAINLIEST!!!!!
Answer:
(4,1)
Step-by-step explanation:
After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)
A numerical measure computed from a sample, such as sample mean, is known as a.
Answer:
Sample statistic
Raquel needs to graph a square on a coordinate plane using the points (8,2), (8,5), (5,5), and (5,2). What steps does Raquel need to follow to graph the square?
Answer:
First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.
Deshawn earned $48 raking leaves last October. He decided to save 3/8 of his money. How much money did Deshawn save?
What is the solution of log3x-2 4096=3
on marks first day, he ran 5 laps without stopping after several weeks of training he ran 9 weeks without stopping. what is the percent increase.
The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%
How to determine the percentage increase?The distance ran are given as:
Initial = 5 laps
Final= 9 laps
The percentage increase is calculated using:
Percentage = (Final - Initial)/Initial
So, we have:
Percentage = (9 - 5)/5
Evaluate
Percentage = 0.8
Express as percentage
Percentage = 80%
Hence, the percentage increase is 80%
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what is the approximate value for 683 divided by 19
Answer:
Your answer is: 36!
Step-by-step explanation:
Hope this helped :)
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the mean and median of the data say about gas prices in 2018?
Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
Kyle is considering a 7/1 ARM. What does 7 represent?
Answer:
The number of years the fixed interest rate will be applied to the loan
Step-by-step explanation:
I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)