Answer:
[tex]y'\approx -0.41[/tex]
Step-by-step explanation:
Implicit Derivatives
When it's not possible to express one variable as an explicit function of the other, we use implicit derivatives and solve for y'.
Find y' in the equation given below:
xe^y - 4y = 3x - 14 + 2e^2
Taking derivatives with respect to x, recalling y'=dy/dx, and dx/dx=1:
(xe^y)' - (4y)' = (3x)' - (14 + 2e^2 )'
Using the product rule for the first derivative, and simple rules for the rest:
e^y + xe^yy' - 4y' = 3 - 0
Recall the derivative of a constant is zero.
Group terms with y' in the left side and the rest in the right side:
xe^yy' - 4y' = 3 - e^y
Factoring y':
y'(xe^y - 4) = 3 - e^y
Solving:
[tex]\displaystyle y'=\frac{3 - e^y}{xe^y - 4}[/tex]
Evaluating for x=2, y=2:
[tex]\displaystyle y'=\frac{3 - e^2}{2e^2 - 4}[/tex]
Calculating:
[tex]\mathbf{y'\approx -0.41}[/tex]
solve the system by elimination. need work to be shown
Answer:
x=1, y=1, z=0
Step-by-step explanation:
System of Equations
We are required to solve the system of equations by elimination:
[tex]\left\{\begin{matrix}-2x+2y+3z=0\qquad [1]\\-2x-y+z=-3 \qquad [2]\\2x+3y+3z=5 \qquad [3]\end{matrix}\right[/tex]
Adding [1] and [3], and subtracting [1] and [2]:
[tex]\left\{\begin{matrix}5y+6z=5\qquad [4]\\3y+2z=3\qquad [5] \end{matrix}\right.[/tex]
Multiplying [5] by -3 and adding to [4]:
[tex]-4y=-4[/tex]
Solving:
[tex]y = -4 / (-4) = 1[/tex]
[tex]y=1[/tex]
Substituting into [5]:
[tex]5(1)+6z=5[/tex]
Simplifying:
[tex]6z = 0[/tex]
z=0
Substituting into [3]
[tex]2x+3(1)+3(0)=5[/tex]
Operating:
[tex]2x+3=5[/tex]
[tex]2x = 2[/tex]
[tex]x = 2/2=1[/tex]
x=1
The solution is
x=1, y=1, z=0
Give the slope between the points
(-4,1) (-13,-1)
Answer:1/2
Step-by-step explanation: So slope is rise/run. -4 to -13 is -9 and 1 to -1 is -2. so rise over run is -2/-4 which is 1/2.
The range of the relation {(1,2),(1,3), (2,2)} is
Answer:
12
Step-by-step explanation:
help me I'm desperate I'm begging you please I'm about to break down help
Could anyone help me find the missing value of W,X,Z, and Y ?
Answer:
x= 50°
w= 130°
y°= 110°
z°=30°
Step-by-step explanation:
x°= 180° - 60°- 70° ( angle sum of triangle)
= 50°
w°= 180° - 50° ( adjacent angles on a straight line)
= 130°
y°= 180° - 70° ( adjacent angles on a straight line)
= 110°
z°= 180 - 40° - 110° ( angle sum of triangle)
= 30°
Sal purchased two types of plant fertilizer and conducted an experiment to see which fertilizer would be best to use in his greenhouse. He planted 20 seedlings and used Fertilizer A on ten of them and Fertilizer B on the other ten. He measured the height of each plant after two weeks. What conclusion can Sal make about the plant fertilizers?
Sample number
Fertilizer A
Fertilizer B
1
19.8
23.4
2
25.7
30.1
3
29.0
28.5
4
23.2
26.3
5
27.8
32.0
6
31.1
29.6
7
26.5
26.8
8
24.7
25.2
9
21.3
27.5
10
25.6
30.8
A.
No conclusion can be made because the experiment is biased.
B.
The range of heights for plants with Fertilizer B is less than Fertilizer A.
C.
Fertilizer B will outperform Fertilizer A every time.
D.
On average Fertilizer A produces a taller plant.
Answer:
its B
Step-by-step explanation:
Fertilizer B is likely more effective than Fertilizer A.
The correct answer is option C: Fertilizer B will outperform Fertilizer A every time.
What is the mean?In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the quantity of observations).
To draw a conclusion from the experiment, we need to analyze the data. We can calculate the mean heights of the seedlings for each fertilizer.
For Fertilizer A: (19.8+25.7+29.0+23.2+27.8+31.1+26.5+24.7+21.3+25.6)/10 = 25.67
For Fertilizer B: (23.4+30.1+28.5+26.3+32.0+29.6+26.8+25.2+27.5+30.8)/10 = 28.89
Based on the data, it appears that the seedlings treated with Fertilizer B had, on average, a greater height than those treated with Fertilizer A.
Therefore, we can conclude that Fertilizer B is likely more effective than Fertilizer A.
The correct answer is option C: Fertilizer B will outperform Fertilizer A every time.
To learn more about the mean;
brainly.com/question/13451489
#SPJ2
3/2 x + 5 = 5 -2 (x+7)
What is the -2.25 -5.5 -4 show your work
Answer:
-2.25 - 5.5 - 4
-7.75 - 4
-11.75
Step-by-step explanation:
What is the fraction of 41.66667
Answer:
[tex]41\frac{2}{3}[/tex]
I hope this helps!
Answer:
41.66 repeating or 41.67
Step-by-step explanation: hope this helps
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm.
Answer:
ok but whats the question
Step-by-step explanation:
Answer: Whats the question lol?
Step-by-step explanation:
if 1/8=1/63+1/q what is the value of q
Answer:
9.1636
Step-by-step explanation:
1/8=1/63+1/q
1/8-1/63=1/q
63-8/504=1/q
55/504=1/q
55q=504
q=504/55
q=9.1636
So the answer is 9.1636
Find the differnce
-c + 2 - 2+ c
Answer:
0
Step-by-step explanation:
Let's start by subtracting.
-c + 2-2 + c
We end up with..
-c + c
Now, let's combine like terms.
-c + c = -1c + 1c =
0
Hope this helped! :)
Which triangle is a translation of the orange triangle?
Answer:
5,6 meaning the answer is 4
Step-by-step explanation:
Answer it pleaseee!!!
Answer:
.
Step-by-step explanation:
.
Pls help thanks :)
Graph y ≤ - 2/3x + 6
Answer:
the bottom right
Step-by-step explanation:
The graph of the expression is attached
How to graph the expressionTo graph the inequality y ≤ -2/3x + 6, you can start by graphing the line y = -2/3x + 6, which is the equation without the inequality sign.
To do this, you can start by finding two points that lie on the line. Let's choose x = 0 and x = 3 to make it easier.
When x = 0, y = -2/3(0) + 6 = 6. So one point on the line is (0, 6).
When x = 3, y = -2/3(3) + 6 = 4. So another point on the line is (3, 4).
Plot these two points on the coordinate plane and draw a straight line through them. This line represents the equation y = -2/3x + 6.
Now, to graph the inequality y ≤ -2/3x + 6, you need to determine which side of the line satisfies the inequality. Since y is less than or equal to -2/3x + 6, you shade the region below the line.
To indicate this on the graph, you can shade the area below the line or draw a dashed line to represent the boundary of the inequality.
Learn more about inequality graph at
https://brainly.com/question/24372553
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Booker owns 85 video games. He has 3 shelves to put the games on. Each shelve can hold 40 video games. How many more video games does he have room for?
Answer:
A
Step-by-step explanation:
i just dd t
Answer:
35 more Video Games
Step-by-step explanation:
He has 3 shelves that can hold 40 video games. So thats 3 x 40 = 120. The number 120 represents the total amount of video games that he can hold. But he already has 85. So subtract 85 from 120. Thats 120 - 85 = 35. He still has room for 35 video games. Hope this helps !!
please help and thanks in advance :)
Which of the expressions below has a 5 in the thousandths place of the
product? Select all that apply.
A) 23.45 x 3.5
B) 12.5 x 4.5
C) 19.5 x 2.55
D) 8.65 x 4.5
Answer:
A,C, and D
Step-by-step explanation:
Thousandths place is this the third place behind the decimal.
A = 82.075
B = 56.250
C = 49.725
D = 38.925
Hope this helps ya!!
What is the slope of the line?
-2
1/2
1
2
300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000
Answer:
x = 12.5
Step-by-step explanation:
The correct question can be found in the attachment
300x + 500/7y = 10,000
Find x if y = 87.5
Substitute y = 87.5 into the equation
300x + 500/7(87.5) = 10,000
300x + 43,750/7 = 10,000
300x + 6,250 = 10,000
Subtract 6,250 from both sides
300x + 6,250 - 6,250 = 10,000 - 6,250
300x = 3,750
Divide both sides by 300
x = 3,750/300
= 12.5
x = 12.5 when y = 87.5
ASSIGNMENT MATHS 6). À train which is moving with a uniform acrelaation is observed to take 20 and 30 seconds to travel successive 400m. How much further will it travel before coming to rest if acceleration remains uniform
Answer:
12000
Step-by-step explanation:
he parking garage of a mall is underground. Dr. Taylor parks her car 2 floors below ground level. She plans to walk to the 3rd floor of the mall from her car. How many floors will she travel from her car to the 3rd floor?
Answer:
she will travel 5 floors from her car to the 3rd floor.
Find the sum 3 1/3 and 3 2/5
A segment has a length of 18 inches it has been rotated de degrees around a center O. What is the length of the rotated segment
Answer: Wouldn't it still be 18 since it was just rotated and not dilated.
Answer:18in
Step-by-step explanation:
it will still be 18in because it rotated de degrees around
When graphing a linear inequality, when can you NOT use (0, 0) as a test point to determine which side of a boundary line to shade?
9514 1404 393
Answer:
when (0, 0) is on the boundary line
Step-by-step explanation:
Any test point you use to determine shading must not lie on the boundary line. You need a test point that will make the inequality true or false. That is, it must give a result a > b or a ≥ b, where a ≠ b. A point on the boundary line will give a = b, so is not helpful.
If the test point gives "true", then it lies in the shaded area. If it gives "false," then the other side of the line is shaded.
(0, 0) cannot be used as a test point when it lies on the boundary line.
Please help see the image below
Answer:
12 pi or 37.7units
Step-by-step explanation:
the perimeter is 4 semicircles which is 2 full circles. the formula for circumference of a circle (perimeter) is diameter times pi. the diameter given is 6 so you do 6 pi times 2 full circles which is 12 pi or 37.7 units
Answer:
12pi is ur correct answer
which expression is equivalent to 4(3+5)-3·9²
i think that the answer is d. this must have 20 characters
Answer:
D
Step-by-step explanation:
a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?
Answer:
133 windows
Step-by-step explanation:
Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00
Answer:
C. 43.00
Step-by-step explanation:
If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.
16\1024 cuánto es 16 dividido por 1024
Answer:
64
Step-by-step explanation:
1024÷16=64
hope this helps
Are the lines X - 2Y= 4 and Y = 2X -2 parallel perpendicular or neither?
9514 1404 393
Answer:
neither
Step-by-step explanation:
Solving the first equation for y gives you ...
y = 1/2x -2
The slope of each line is the coefficient of x, 1/2 or 2. The slopes of 1/2 and 2 are not equal and are not opposite reciprocals. The lines are neither parallel nor perpendicular.