- Is this a function? Why or why not?
Independent
Variable
Dependent
Variable
3
6
4
15
+8
12
14
agen 20
22
11
asking for

[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).

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

hope this helped!!!

[tex]\\ \sf\longmapsto Area=Length(Breadth)

[tex]\\ \sf\longmapsto Area=(5x+2)2x[/tex]

[tex]\\ \sf\longmapsto Area=10x^2+4x[/tex]

Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and  b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Answer:

i got u c

Step-by-step eplanation:

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

6

Step-by-step explanation:

As the highest power of x in the expression is 6, the degree is 6

Answer:

3x6+2x5+6x3−5

Standard Form

Step-by-step explanation:

HAVE A BLESS DAY :D

Answer:32x -72

Step-by-step explanation:

The required percentage of the 30 intermediate-level questions is 20%.

Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%

Thus, the required percentage of the 30 intermediate level question is 20%.

Learn more about percentages here:

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Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15

Answer: the second to last

Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last

Answer:

y = 3/4m + 2

Step-by-step explanation:

Distance from point 1 to point 2 is up 3, over 4

Point 1 intercepts (0, 2).

Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

For more about combination

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Answer:

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true

Answer: Never

Explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.

Answer:

Step-by-step explanation:

lkj

Answer:

72,000

Step-by-step explanation:

20% of 60,000 = 12,000

60,000 + 12,000 = 72,000

Chow,...!

Answer:

Step-by-step explanation:

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

Answer:

x = 74.89

Step-by-step explanation:

Because this is a right triangle we can use trigonometric ratios to solve for x

Remember the three main trig ratios are sine, cosine and tangent

Where

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

and Tangent = Opposite over Adjacent

In order to use trig ratios we must have a known angle that is not a right angle.

We are given ∠J which has a measure of 27°

We are also given ∠J's opposite side length. ( has a length of 34 )

and "x" is the hypotenuse.

When dealing with opposite and hypotenuse we use Sine

SineФ = Opposite over Hypotenuse

Ф = 27, opposite = 34 and hypotenuse = x

Sin(27)  = 34/x

solve for x

Multiply both side by x

sin(27) x = 34

divide both sides by sin (27)

x = 34 / sin (27)

simplify

x = 74.89 ( rounded to the nearest hundredth )

and we are done!

Answer:

The answer is 74.89

Step-by-step explanation:

Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps

3.5 ounces hope this helps

Step-by-step explanation:

gof(x)= g(f(x))

gof(x)= g(4x-1)

gof(x)= (4x-1)²+7

gof(x)=16x²-8x+1+7

gof(x)=16x²-8x+8

Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Answer: 8.9969323e+15

Answer:

400

Step-by-step explanation:

[tex] {20}^{2} = 20 \times 20[/tex]

that is equal to 400

Answer: 400

Step by step explanation:

20*20= (2*2)*(10*10)= 4*100=400

Answer:

[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]