If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is
Following are the calculation to the method value:
Given:
[tex]\cos (xy) = y-1\\\\ x=\frac{\pi}{2} \ \ and \ \ y = 1[/tex]
To find:
[tex]\frac{dy}{dx}=?[/tex]
Solution:
[tex]\to \cos (xy) = y-1\\\\\to \frac{d}{x} \ (\cos xy) = \frac{d}{dx}\ (y-1)\\\\\to -\ ( \sin xy) \frac{d}{dx} \ (xy) = \frac{dy}{dx}\\\\\to -\ ( \sin xy) ( x\ \frac{d}{dx} + y) = \frac{dy}{dx}\\\\\to - x \sin (xy) \ \frac{dy}{dx} -y\sin (xy) =\frac{dy}{dx}\\\\\to \frac{dy}{dx} (1+ x \sin \ xy) = - y \sin xy\\\\\to \frac{dy}{dx}=\frac{-y \sin xy}{1+x\sin xy }\\\\[/tex]
When [tex]\ x=\frac{\pi }{2} \ \ \ and \ \ \ y=1\\\\[/tex]
[tex]\to \frac{dy}{dx}=\frac{- 1 \sin (\frac{\pi }{2})}{1+ \frac{\pi }{2} \sin \frac{\pi }{2} }\\\\\to \frac{dy}{dx}=\frac{- 1 }{1+ \frac{\pi }{2} } = \frac{-1 }{\frac{2+\pi }{2}}\\\\\to \frac{dy}{dx}=\frac{-2}{2+\pi }\\\\[/tex]
Learn more:
brainly.com/question/23143484
How to solve: 10 x -7 = 4x + 5
[tex]10x -7 = 4x+5 \\\\\implies 10x -4x = 5+7 \\\\\implies 6x = 12 \\\\\implies x = \dfrac{12}6 =2[/tex]
~one variable linear equation
===============================
10x - 7 = 4x + 5
= 10x - 7 - 4x = 5
= 10x - 4x = 5 + 7
= 6x = 5 + 7
= 6x = 12
= x = 12 ÷ 6
= x = 2 ✔️
~ nice to help you ^^
round 4,615 to the nearest thousand
Write an equation in slope-intercept form for the line with slope -2 and y-intercept -4. Then graph the line
Answer:
equation: y= -2x -4
Step-by-step explanation:
slope intercept form is y=m x+b, m being slope and b being the y intercept
Question 1 of 10
Which of the following is the midsegment of ABC?
BL
MC
АL
LM
What is the difference between dividing a whole number by a fraction and dividing a fraction by a fraction
Answer:
There is no difference.
Step-by-step explanation:
All whole numbers can be written as fraction, so you would just use the same formula for the fraction as a whole number.
For example:
The whole number 6 can be written as 6/1. We can divide 6/1 by 3/7 by finding the inverse of 3/7 which is 7/3. Then, it is just easy multiplication.
6/1 X 7/3=42/3=14
There is no different for divinding fractions by fractions and you can use the same formula.
Answer:
To Divide a Fraction by a Whole Number: Step 1. Multiply the bottom number of the fraction by the whole number; Step 2. Simplify the fraction (if needed) ...
Step-by-step explanation:
Can anyone help me with this please I really need help
Answer
y = -88x + 99
Step-by-step explanation
Step 1: Find the slope by doing the rise over run equation, which is y2-y1 / x2-x1. Plug in x and y numbers based on the table. So, the slope (m) = -88.
Step 2: Figure out the real equation: y=mx+b. Plug in numbers that you have to find the missing number, the y-intercept (b).
y=mx+b --> 11 = -88 * 1 + b --> 99 = b
Step 3: Plug everything into the y=mx+b equation.
PLEASE HELP ME DUE VERY SOON ILL MARK CROWN
Answer:
0
Step-by-step explanation:
The slope of the line is zero because it is a horizontal line with no rise or fall.
Answer:
0
Step-by-step explanation:
2.
Which of the following is the maximum value of the function y = −2x^2 + 5?
A. 0
B. 25
C. −2
D. 5
Answer:
A. 0 because 5 is the minimum
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( 0 , 5 )
Multiple x² by -1 would flip it across x-axis so -x² would have maximum value 0. Now multiplying -x² by 2 stretch it vertically, however 2 times 0 is still 0 so maximum value is still 0. Now we add it by 5 which makes it shifts 5 units up, so this affects maximum value. So everything will be shifted 5 units up, so new maximum would be 5. Final 5
five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really need it..no links please..
Question 1
Solve.
−3 2/3=x−1 1/4
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question 2
Solve.
x − (−2 5/6)= −1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question 3
Solve.
−3 2/3x=−2 1/5
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.
−3/7m=12
m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.
−1/3b=9
b=−27
b=−3
b = 3
b =27
Answer:
1) 2 5/12
2) -3 1/30
3) 3/5
4) m = -28
5) b = -27
Step-by-step explanation:
1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.
-11/3 = x - 5/4 (convert to improper fractions)
-44 = 12x - 15 (multiply everything by 12 to get whole numbers)
-29 = 12x (add 15 to both sides)
-29/12 = x (divide both sides by 12)
2 5/12 = x (convert to a mixed number, because that's what the question asks)
For clarity, that's two and five twelfths.
2) Same thing as above. I prefer improper fractions.
x + 17/6 = -1/5 (simplify and convert to improper fractions)
30x + 85 = -6 (multiply everything by 30 to get whole numbers)
30x = -91 (subtract 85 from both sides)
x = -91/30 (divide both sides by 30
x = -3 1/30 (convert to a mixed number, because that's what the question asks)
For clarity, thats minus/negative three and one thirtieth.
3) Same thing as above.
-(11/3)x = -11/5
-55x = -33
55x = 33
x = 33/55
x = 3/5
4) Same as above, but it's multiple choice! Yay!
-3m = 84
m = -28
5) You know the drill.
-b = 27
b = -27
I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:
Answer:
1) 2 5/12
2) -3 1/30
3) 3/5
4) m = -28
5) b = -27
Step-by-step explanation:
3. The triangular prisms shown below are similar. What are the values of x and y? 14cm X 20 cm > 4 cm 8 cm X:
Applying similarity of triangles, the values of x and y are given as follows:
x = 7 cm.y = 10 cm.Similar trianglesSimilar triangles have congruent angle measures, thus the measures of the side lengths are proportional. This relation can be proven from the law of sines.
In this problem, we have two triangular prisms which are similar, and the equivalent side lengths are presented as follows:
14 cm and x.8 cm and 4 cm.20 cm and y.Hence the following proportional relationship is established with the side lengths:
14/x = 8/4 = 20/y.
Applying cross multiplication with the middle term, the measure of x is calculated as follows:
14/x = 8/4
14/x = 2
2x = 14
x = 14/2
x = 7 cm.
The measure of y is calculated as follows:
20/y = 8/4
20/y = 2
2y = 20
y = 20/2
y = 10 cm.
Missing InformationThe triangular prisms are given by the image at the end of the answer.
More can be learned about similarity of triangles at brainly.com/question/305520
#SPJ1
Which expression has a value greater than the given expression when a = 2?
2(a + 6)
I WILL MAKE BRAINLIEST PLS HELP
Answer:
any number greater than 16 is fine.
Step-by-step explanation:
if a=2
then, 2(a+6) = 2(2+6)=2*8=16
Answer:
The expression that has a value greater than the given expression when a = 2 would be; a⁴+ 2
Step-by-step explanation:
got it incorrect when I took the quiz, here's a photo for proof.
I FORGOT HOW TO DO THIS PLZ HELP
Victor worked a total of 532.5 hours in the last 15 weeks how many hours did he work in one week
Answer:
35.5 hours in one week
Step-by-step explanation:
532.5/15 sicne we're trying to find out how many hours he worked in a week.
Step-by-step explanation: it actually 35.5 sorry
Jeremy goes on a bike ride for 45 minutes per day during the summer. At the end of the summer, he has rode his bike for 2,475 minutes. How many days did he ride his bike? He rode days.
Answer:
55 days
Step-by-step explanation:
1 day = 45 minutes
=> x days = 2475 ÷ 45
=> x days = 55 days
Therefore, he had rode 55 days in the whole summer.
7.
Write an equation for each translation of y= |x|.
7 units right
A. y = | x – 7 |
B. y = | x | – 7
C. y = | x + 7 |
D. y = | x | + 7
Answer:
A. y = | x – 7 |
Step-by-step explanation:
y=|x-7| because in order to go to the right you have to subtract the amount from x
the answer is y=|x-7|
Step-by-step explanation:
we know that the general translation of some equation y=f(x) to the left or right direction by 'a' units is given by y=f(x+a) ; where if 'a' is negative then the translation is in the "right direction" and if 'a' is positive then the translation is in the "left direction".
so in the given question we have the equation y=|x| for it to be translated 7 units in the right the resulting equation is y=|x-7|.
how many feet of border will I need to put around the 4 side my bulletin board if the length if 5 yards and the width is 2 yards
How does the transformation y = f(x) - 4 change the point
(3,27) in the original graph of f(x) = x^3?
Answer: It shifts down 4 units to 3,23 It shifts up 64 units to 3,91 It ...
Step-by-step explanation:In this section, we study how the graphs of functions change, ... 3. 4. 5 y = f(x). The Fundamental Graphing Principle for Functions says that for a point ...If the graph is transformed into the graph defined by y= f(2x–8), determine the domain of the transformed graph. y = f[2(x-4)} horizontal stretch by shift 4 ...
Which lines are parallel? How do you know?
Answer:
The two at the left are parallel.
plz solv this on copy and if i will get ans from copy i will give brainliest to them
890 apples.
Hope this helps
what is 3 1/2 x 2 2/3
Answer:
ill answer it when im done with my homwork i see u need help buddy
Step-by-step explanation:
Answer:
Step-by-step explanation:
3 1/2 * 2 2/3 = 28/3= 9 1/3
hope this helped<3!!..
Manny has 119 shells Chloe has 10 shells how many shells do they have in all
Answer:
129
Step-by-step explanation:
Is an Angle Two or 1 dimensional ?
Answer:
An ordinary angle is a measure of the length subtended by a one-dimensional subset of the plane. For example, an angle of 60∘ is subtended from a point by a 16 portion of a circle centered at that point. The 16 arc that subtends the angle is a one-dimensional subset of the two-dimensional plane.
Step-by-step explanation:
What is difference between the mean and the average?
Hey there!
• Mean is the average (total) with the given set of numbers in your data plot
• Average is the sum of your total numbers that are divided by the total numbers in your data plot.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
7. Use the figure below to solve for x
Answer:
x= 45
Step-by-step explanation:
55 +2x+(x-10) =180
2x + x-10 = 125
3x = 135
x=45
Determine la moda, la mediana, la media aritmetica, el recorrido, la desviacion media, la varianza y la desviacion tipica de cada una de estas distribuciones de datos, previa la confeccion de las tablas adecuadas.- Calcule el ceoeficiente de variacion y opine sobre la dispersion de los datosa. x1 1, 2, 3, 4, 5, 6, 7, 8, 9 b. x1 18, 19, 20, 21, 22, 23, 24, 25n1 12, 15, 9, 18, 17, 15, 11, 6, 8 n1 3, 12, 54, 66, 57, 55, 18, 11
Answer:
Step-by-step explanation:
22
Pls help I don’t get how to do these <3 thanks boo
Answer:
2
Step-by-step explanation:
Formula for
Lower quartile (Q1)
= N + 1 multiplied by (1) divided by (4)
What is the slope for a line that is perpendicular to the line y = 4x + 8
Answer:
The slope would be 4
Step-by-step explanation:
8 is where we started at, so 4x + 8
Pleaseeeeee Helppppppp
Answer:
-2
Step-by-step explanation:
it's the lowest point
Find the angle measure of X, Y, and Z
Answer:
x=33
y=134
z=46
Step-by-step explanation:
Lets solve for Z first. It is in a triangle with 2 angles already known: 84 and 50. Because the 3 angles in all triangles add to 180...
z+50+84=180
z=180-50-84
z=46
Angles z and y are supplementary, because they exist on the same line and are cut off by one line segment. This means that their angles add to 180.
180=y+z
we already know that z=46
180=y+46
y=180-46
y=134
Now we can use the same rule we used to find z, to find x.
x+y+13=180
we just found that y=134
x+134+13=180
x=180-134-13
x=33
Solve please and how would u graph the answer would it go left or right side
Answer:
y<1
Step-by-step explanation: