2 1/5 hours on homework for math = 2.2
Science homework took 1.1 hours to complete.
2.2+1.1= 3.3
7/8 of an hour is 50 minutes because we know that an hour is 60 minutes and every 10 minutes is a number for the numerator, if that makes sense.
3.3 of an hour plus 50 minutes, would equal 3.8 since the 3 after the point would be minutes. To convert into hours, since an hour is 60 minutes, we have 4 hours and 20 minutes he spent on homework over the weekend. That would be your answer! Hope this helped.
The given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.
In the question, we are asked to show that x.cosec²x = cot x - d/dx x.cot x.
To prove, we go by the right-hand side of the equation:
cot x - d/dx x.cot x.
We solve the differential d/dx using the product rule, according to which, d/dx uv = u. d/dx(v) + v. d/dx(u), where u and v are functions of x.
cot x - {x. d/dx(cot x) + cot x. d/dx(x)}
= cot x - {x. (-cosec²x) + cot x} {Since, d/dx(cot x) = -cosec²x, and d/dx(x) = 1}
= cot x + x. cosec²x - cot x
= x. cosec²x
= The left-hand side of the equation.
Thus, the given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.
Learn more about differentials at
brainly.com/question/14830750
#SPJ1
Remember your Number system
After the decimal point to the right, the next digit is the TENTH, and next is HUNDREDTH.
So for 26.5 = 26.500.
The tenth digit is 5, and the Hundredth is 0.
After the hundredth digit which is 0, the next digit is also 0.
The second 0 is not up to 5, so we would not add to the first zero.
(Was it 5, or above, we would have added 1 to first zero)
So the answer is 26.50. If the next digit after the hundredth digit was 5 or more the answer would have been 26.51.
But for this question the answer is 26.50 to the nearest hundredth. Cheers.
Answer:
(2,-3) and (49/29, -108/29)
Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation
(x-a)^2 + (y-b)^2 = r^2
(x-1)^2 + (y+3)^2 =1
You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0
Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1
Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.
Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.
Answer:
hello! the answer would be C! or 12!!
stay safe!!<3
