which is the graph of the linear equality x-2y>-12?

Answer:  $2.10

Step-by-step explanation:

The first integral has a well-known beta function representation, so the second one should too. The beta function itself is defined as

[tex]B(x,y) = \displaystyle \int_0^1 t^{x-1} (1-t)^{y-1} \, dt[/tex]

and satisfies the identity

[tex]\displaystyle B(x,y) = \frac{\Gamma(x) \Gamma(y)}{\Gamma(x+y)}[/tex]

Later on, we'll also use the so-called reflection formula for the gamma function; for non-integer z,

[tex]\Gamma(z) \Gamma(1-z) = \dfrac{\pi}{\sin(\pi z)}[/tex]

as well as the identity

[tex]\dfrac{\Gamma(z+1)}{\Gamma(z)} = z[/tex]

Replace [tex]x\to\sin^{-1}(x)[/tex] in both integrals, so that

[tex]\displaystyle \int_0^{\frac\pi2} \sqrt{\sin(x)} \, dx = \int_0^1 \frac{\sqrt x}{\sqrt{1-x^2}} \, dx[/tex]

[tex]\displaystyle \int_0^{\frac\pi2} \frac{dx}{\sqrt{\sin(x)}} = \int_0^1 \frac{dx}{\sqrt x \sqrt{1-x^2}}[/tex]

Now replace [tex]x\to\sqrt x[/tex] :

[tex]\displaystyle \int_0^1 \frac{\sqrt x}{\sqrt{1-x^2}} \, dx = \frac12 \int_0^1 x^{-\frac14} (1-x)^{-\frac12} \, dx = \frac12 B\left(\frac34, \frac12\right) [/tex]

[tex]\displaystyle \int_0^1 \frac{dx}{\sqrt x \sqrt{1-x^2}} = \frac12 \int_0^1 x^{-\frac34} (1-x)^{-\frac12} \, dx = \frac12 B\left(\frac14, \frac12\right)[/tex]

So, the original integral (which I condense here to a double integral) is

[tex]\displaystyle \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sqrt{\frac{\sin(x)}{\sin(y)}} \, dx \, dy = \frac14 B\left(\frac34, \frac12\right) B\left(\frac14, \frac12\right)[/tex]

[tex]\displaystyle = \frac14 \frac{\Gamma\left(\frac14\right) \Gamma\left(\frac34\right) \Gamma\left(\frac12\right)^2}{\Gamma\left(\frac54\right) \Gamma\left(\frac34\right)}[/tex]

[tex]\displaystyle = \frac14 \frac{\Gamma\left(\frac14\right) \Gamma\left(\frac34\right) \Gamma\left(\frac12\right)^2}{\frac14 \Gamma\left(\frac14\right) \Gamma\left(\frac34\right)}[/tex]

[tex]\displaystyle = \Gamma\left(\frac12\right)^2 = \frac{\pi}{\sin\left(\frac\pi2\right)} = \boxed{\pi}[/tex]

Tan(angle) = opposite/ adjacent

tan(42) = 67/x

x =67/tan(42)

X = 74.411

rounded to nearest tenth : x = 74.4

Answer:

4x - 5 - 3

Step-by-step explanation:

the 3rd is the best answer i think

Answer:

0.671

0.985

0.137

Step-by-step explanation:

ABove is answer

Answer:

0.671

0.985

0.137

Step-by-step explanation:

Now you could give the person above me brainliest

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The Square Pyramid Has 5 Vertices.

:)

Answer:

1

Step-by-step explanation:

The biggest common factor number is the GCF number. So the greatest common factor 21 and 32 is 1. Also check out the Least Common Multiple of 21 and 32

The greatest common factor of 21 and 32 is 1.

Greatest common factor or GCF of two numbers is defined as the one common factor of the two given numbers which is the greatest of all the common factors.

GCF is also usually known as Highest Common Factor (HCF).

We have to find the greatest common factors of 21 and 32.

One of the method to find GCF is by prime factorization.

First prime factorize the two numbers. The product of the commonly shared prime factors will be the GCF.

If they don't share any common prime factors, then the GCF will be 1.

21 = 3 × 7

32 = 2 × 2 × 2 × 2 × 2

There are no common prime factors, GCF will be 1.

Hence, the greatest common factor of 21 and 32 is 1 since there are no common prime factors.

To learn more on GCF, click:

https://brainly.com/question/11444998

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The required inequality that represent the given scenario is :

[tex]\qquad \tt \dashrightarrow \:x \geqslant 4[/tex]

where, x is height in feet.

Let's interpret the information given:

Let's set 'x' as the hypothetical height of a person

Therefore the inequality should be x ≥ 4

   ⇒ we put x as greater than 4 since the person must be taller than 4

     feet to ride the roller coaster

   ⇒ we also put the '_' under the inequality to signify that the person

        can equal 4 feet in height and still be eligible to ride the roller

        coaster

Hope that helps!

A.) 3^2+4^2=5^2

9+16=25

This is correct

B.) 2.5^2+5.6^2=37.61

6.4^2 = 40.96

This is not correct

C.) 9.6^2+12.8^2=256

16^2 = 256

This is correct

Answer:

12 cm^3

Step-by-step explanation:

Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3

Answer:

c

Step-by-step explanation:

Alright, Nancy, let's do this.

If dimes are d, then quarters is d + 3.

10d + 25(d + 3) = 1090

I'm dealing with cents to get rid of the pesky decimal.

10d + 25d + 75 = 1090

                    35d = 1015

                        d = 29

Since quarters = d + 3, there are 32 quarters and 29 dimes.

Hope this helps!

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Answer:

[tex]\sf 5x+6y=12[/tex]

Step-by-step explanation:

[tex]\sf y=-\dfrac{5x}{6}+2[/tex]

Multiply both sides by 6:

[tex]\implies \sf 6 \cdot y=6(-\dfrac{5x}{6}+2)[/tex]

Expand:

[tex]\implies \sf 6y=-5x+12[/tex]

Add 5x to both sides:

[tex]\implies \sf 5x+6y=-5x+12+5x[/tex]

[tex]\implies \sf 5x+6y=12[/tex]

1. A million has 7 digits. The number shown has 7 digits so the first number is in the millions place. Answer: 4

2. use subtraction

36-12 = 24

For  a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid  is mathematically given as

A=26.7

Generally, the equation for the trapezoid   is mathematically given as

A=0.5*(a+b)*h

Therefore

A=0.5*(3.2+9.2)*4.3

A=26.7

In conclusion,area of the trapezoid

A=26.7

Read more about Arithmetic

https://brainly.com/question/22568180

Answer:

If you put this in the calculator, the answer would be 7

Answer:

-8x+-16-(-8x)+(-32)

Step-by-step explanation:

Answer:

12 credits per semester

Step-by-step explanation:

she has 92 in the end but she started off with 8 so your first step is to subtract 8 from 92 which gives you 84 once you get 84 you divide that by 12 you get 7 which means she got 12 credits in each of her 7 semeters

4:27

Step-by-step explanation:

just subtract 45 and 18. common sense

Step-by-step explanation:

motivation of the Day

wish you the same

Answer:

The answer is the first one

Step-by-step explanation:

The first one is correct because the probaility of you getting some biyatches  is  zero.

Answer:

$450

Step-by-step explanation:

a garden table costs $84 more than the bench,

therfore, $900-84 = $900

$900/2 = cost of bench

$450 = cost of bench

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Answer:

x=7

Step-by-step explanation:

You can find the complete solution in the given attachment

I hope it helped you

Answer:

56811

Step-by-step explanation:

This is the answer as when you do the math it checks out

If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then by definition

[tex]f\left(f^{-1}(x)\right) = x[/tex]

so that

[tex]2 \times 3^{f^{-1}(x)} = x[/tex]

Solve for [tex]f^{-1}(x)[/tex] :

[tex]3^{f^{-1}(x)} = \dfrac x2[/tex]

[tex]\log_3\left(3^{f^{-1}(x)}\right) = \log_3\left(\dfrac x2\right)[/tex]

[tex]f^{-1}(x) \log_3(3) = \log_3\left(\dfrac x2\right)[/tex]

[tex]\boxed{f^{-1}(x) = \log_3\left(\dfrac x2\right)}[/tex]

Answer:

266 miles

Step-by-step explanation:

Given statement

Clearly, 45 is 3/4th of an hour. Thus, this statement can also be written as:

We are given that:

When we convert this statement into an equation, we get:

Multiply both sides by 4.75 to obtain the distance in 4.75 hours.

Answer:

11% yan po answer hehehe tama yan