How did Srinivasa ramanujan religion create a clash when he worked with G.H hardy
(-1.5) + 3.5+2=
Show your work
Answer:
4
Step-by-step explanation:
(-1.5) + 3.5+2
-1.5 + 3.5 + 2
2 + 2
= 4
plzz help............
[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
====================================================
Proof:
Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.
[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]
It's far from obvious, but we can apply a bit of algebra like so
[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]
Next, we divide every term by 2. This is so we can replace the pi terms with pi/2
[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]
We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]
So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.
Therefore,
[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]
This shows that differentiating the expression in choice A leads to the given integrand.
If we reverse all of the steps mentioned, then we can show that:
[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).
42 = -7 ( z-3)
whats z?
Answer:
z = -3
Step-by-step explanation:
42 = -7 ( z-3)
42 = -7z + 21
21 = -7z
z = -3
Answer and Step-by-step explanation:
We have to solve for z. That means everything that is next to z has to move to the other side of the equation.
First, divide -7 from both sides of the equation.
-6 = z - 3
Now add 3 to both sides of the equation.
-3 = z
z is equal to -3.
#teamtrees #PAW (Plant And Water)
I hope this helps!
(8p
2 − 5 p
4 − 2p
3) + (4p
3 + 2 p
2 − 2p
4)
Answer:
the answer is A)
Step-by-step explanation:
combine like terms
4p+14
a=
2x2p+2x7
hope this helps
Ruth's heart beats 80 times a minute. At this rate٫ how many times does her heart beat an hour?
Answer:
4800
Step-by-step explanation:
80 × 60 = 4800
Select the correct inequality sign to make the statements true.
/129
117
and
3
5
6
V10
Answer:
< then >
Step-by-step explanation:
11 7/8 can be written as (11 + 7/8). If we find (11+7/8)², we know that √(11+7/8)² = (11+7/8), so we can compare (11+7/8)² with 129 and see which is bigger.
(11+7/8)² = (11+7/8) * (11+7/8)
= 121 + 7/8 * 11 + 7/8 * 11 + (7/8)²
= 121 + 77/8 + 77/8 + (7/8)²
77/8 is greater than 9 (8*9 = 72) but less than 10 (8*10=80). Rounding down to 7, we have
121 + 7 + 7 + (7/8)²
= 135 + (7/8)²
Even when rounding down, (11+7/8)² is greater than 129. Therefore,
129 < (11+7/8)²
square root both sides
√129 < (11+7/8)
We can apply a similar process for the next one.
(3+5/6)² = (3+5/6) * (3+5/6)
= 9 + 5/6 * 3 + 5/6 * 3 + (5/6)²
= 9 + 15/6 + 15/6 + (5/6)²
15/6 is less than 3 (6*3 = 18) but greater than 2 (6*2 = 12). Rounding down to 2, we have
9 + 2 + 2 + (5/6)²
= 13 + (5/6)² > 10
Even when rounding down, (3+5/6)² is greater than 10
(3+5/6)² > 10
square root both sides
(3+5/6) > √10
Is 2x-4=2x-7 one solution, no solution, or infinitely many solution?
Answer:
no solutions
Step-by-step explanation:
2x-4=2x-7 (subtract 2x by the 2x on the other side)
-4 = -7 ( add 4 to negative 4 and add 4 to negative 7)
0 ≠ -3 (0 zero does not equal -3, if the solution had one solution then you would find x. if the solution had infinitely solutions then the numbers would be equal [like -3 = -3])
Since the equation ended with an invalid answer ( 0 ≠ -3) it has no solutions. hope this helps!
JEROME
(2/3)^2 = 2/9
can someone tell me what is Jerome mistake.
Law of Exponent
[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]
From the expression.
[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]
Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.
The price of an item yesterday was $120. Today, the price rose to $156. Find the percentage increase.
Answer:30%
Step-by-step explanation:
GAIN = 156- 120=$ 36
% GAIN = [tex]\frac{gain}{old cost price } X 100%\\[/tex]
= [tex]\frac{36}{120} X 100%[/tex]
=30%
WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW THEIR WORK:
.8900mm to km
Answer:
0.0089
Step-by-step explanation:
i dont know how to show my work i did it online, pls give me brainliest :(
Fun Fact: Octopuses lay 56,000 eggs at a time
One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?
Answer:
22 divided 5 I would think
Step-by-step explanation:
What is the value of 2-3. 22,
Pls help quick
Answer:
-1.22
Step-by-step explanation:
please help me is for my homework
Answer:
35/100 if I remembered correctly, XD
Answer:
[tex]\frac{35}{100}[/tex]
Step-by-step explanation:
if you want to convert decimal to fraction you first have to observe the decimal point
here the decimal point is after 2 numbers so
u will take 100 to be divided with
[tex]\frac{35}{100}[/tex]
You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Answer:
$9170 per year , or ≈ $3.92 per hour
Step-by-step explanation:
We can solve this by putting both of these in terms of yearly salary and going from there.
The first job is already in terms of yearly salary.
The hourly rate job is $26 per hour. There are 45 hours worked per week, and we add $26 for each hour. Another way of saying this is 26 * 45 = total amount earned for the week = $1,170 .
There are 52 weeks in a year, and you make $1,170 per week on the hourly job. This means that over 52 weeks, you will earn 1170 * 52 = 60840. This is the yearly rate for the second job.
The difference between the two jobs is
60840 - 51670 = $9170 per year. Dividing by 52 to get the weekly gain, we get ≈ $176.35 more for the hourly job each week. Dividing by 45 to get the hourly gain, we get ≈ $3.92 dollars from taking the second job
What is the y-intercept, given the equation: y=x^2+2x−8?
Write your response as an ordered pair.
Answer:
y-intercept is (0, -8)
Step-by-step explanation:
[tex]y = {x}^{2} + 2x - 8[/tex]
At y-intercept, x is zero
substitute x as zero:
[tex]y = {(0)}^{2} + 2(0) - 8 \\ y = 0 + 0 - 8 \\ y = - 8[/tex]
Find the missing integer that makes the statement true.
____+(-3) = 2
Explanation:
Think of the problem as x-3 = 2 where x is the blank that we need to fill in.
Adding on -3 is the same as subtracting 3, so that's why x+(-3) is the same as x-3.
To solve x-3 = 2, we add 3 to both sides and we'll get x = 5
Then note how 5-3 = 2 to help confirm the answer.
Answer:
5
Step-by-step explanation:
5 + (-3) = 5 - 3
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
Answer:
BC = 12
Step-by-step explanation:
23 - (2 + 9)
23 - 11 = 12
BC = 12
What is the value of (-6 + 2i) - (7 - 8i)?
0 -1 + 61
O 1 - 6i
0-13 + 10i
13 + 10i
Answer: -13 + 10i
Step-by-step explanation: ((-6) + (2 * i)) - (7 - (8 * i)) = -13+10i
If 2 + 2 could = 22, how can you make 2 + 2 = 5?
Answer:Of the ones mentioned here, I'd say that 3, redefine addition, is the easiest way to use and work with to get lots of self consistent theories that have 2 + 2 = 5.
Step-by-step explanation:
First, it’s easy to prove that 2 + 2 =4. You just need the rule x + Sy = S(x + y) where Sx means the successor of x, or x + 1. With some more steps, with simple natural axioms, you can also derive a contradiction from 2 + 2 = 5. Proof indented so it’s easy to skip.
solve for v
167 = 12 - v
PLEASEEEE IM BEGGING U
Answer:
v=-155
Step-by-step explanation:
167 = 12 - v
subtract both sides by 12
155= -v
multiply both sides by -1
-155= v
Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
Answer:
y = -6/xStep-by-step explanation:
Inverse variation equation:
y = k/x, where k - coefficientWe have:
x = 6, y = -1Work out the value of k by substituting the values of x and y:
-1 = k / 6k = -1*6k = -6The equation is:
y = -6/xAnswer:
y = -6/x
Step-by-step explanation:
y varies inversely as x
So, y = k/x, where k is the constant of proportionality.
If y = -1 when x = 6,
Then, -1 = k/6 ===> k = -6
Therefore, y = -6/x
A marathon runner runs at 7.6 mph for three and a half hours.
How many miles has he run?
Answer:
26.6 miles
Step-by-step explanation:
distance = speed × time ( time is in hours )
= 7.6 × 3.5
= 26.6 miles
if q is inversely propotional to p, and q= 120 when p=2, form an equation connecting p and q and calculate q when p=5
Answer:
q = 108/p
Explanation:
the initial statement is q ∝ 1 /p
to convert to an equation multiply by k the constant of variation
⇒ q = k × 1 /p = k /p
to find k use the given condition
q = k/ p
⇒ k = q/ p = 3 /2 × 72 = 108
equation is q = 108/ p
Answer:
q = 48
Step-by-step explanation:
Given q is inversely proportional to p then the equation relating them is
q = [tex]\frac{k}{p}[/tex] ← k is the constant of proportion
To find k use the condition q = 120 when p = 2 , then
120 = [tex]\frac{k}{2}[/tex] ( multiply both sides by 2 )
240 = k
q = [tex]\frac{240}{p}[/tex] ← equation of proportion
When p = 5 , then
q = [tex]\frac{240}{5}[/tex] = 48
Mrs. Richards had a coupon for one-third off her total bill at the local
grocery store. She bought 2 boxes of cereal for $3.49 each, three cartons
of ice-cream for $2.99 each, and a six pack of soda for $1.99. How much
was her bill with the discount?
Answer: The bill with a discount is $18.59
Step-by-step explanation:
Given information
2 boxes of $3.49 cereal
3 cartons of $2.99 ice-cream
6 packs of $1.99 soda
1/3 discount off total bill
Given expression
Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)
Simplify values in parentheses
Bill = (2/3) (6.98 + 8.97 + 11.94)
Simplify by addition
Bill = (2/3) (27.89)
Simplify by multiplication
Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)
Hope this helps!! :)
Please let me know if you have any questions
3 1/4 x 1 1/3 . work it out
Answer:
13/3
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Someone help me answer this please y = 6х – 2х^2
Answer:
[tex]0=x[/tex], [tex]3=x[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]y=6x-2x^2[/tex]
Factor this expression:
[tex]y=-2x(x-3)[/tex]
Set the equation equal to (0), then use the zero-product property to solve for (x). The zero product property states that any number times zero equals zero. Thus, one can apply this here to solve for (x):
[tex]0=-2x(x-3)[/tex]
[tex]0=-2x[/tex] [tex]0=x-3[/tex]
Inverse operations,
[tex]0=-2x[/tex] [tex]0=x-3[/tex]
[tex]0=x[/tex] [tex]3=x[/tex]
What is the following quotient?
Help me find the value
Answer:
soln
Step-by-step explanation:
a=7
b=-2
5a-3b
5×7-3×-2
35+6(because - and - becomes+
41ans
Answer:
5a-3b
5×7-3×-2
35-6
29
I think soo
hellllpppppppp for the 10th time lol
Hey there! I'm happy to help!
We see that this is an isosceles triangle. This means that two sides are the same length. . We can see that the sides DE and EF are marked with two orange lines, which shows that they are congruent.
We want to find the measure of angle D. We see that our two lines of equal length both create an angle with the hypotenuse DF. Since these lines are the exact same length, they are going to have to create the same angle. Even if you just eyeball it, the angles look to be the same.
So, our measure of angle D is going to be the same as angle F. Let's call this measure m and put it into an equation.
2m+92=180 (sum of all angle measures in a triangle is 180)
Subtract 92 from both sides.
2m=88
Divide both sides by 2
m=44
So, the measure of angle D is B. 44°.
Have a wonderful day and keep on learning! :D