ASAP HW HELP
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Answer:

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Step-by-step explanation:

We are given the following integral:

[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]

Trigonometric substitution:

We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.

In this case, the substitution is given by:

[tex]x = a\sin{\theta}[/tex]

So

[tex]dx = a\cos{\theta}d\theta[/tex]

In this question:

[tex]a = 3[/tex]

[tex]x = 3\sin{\theta}[/tex]

[tex]dx = 3\cos{\theta}d\theta[/tex]

So

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]

We have the following trigonometric identity:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

So

[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]

Replacing into the integral:

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]

Coming back to x:

We have that:

[tex]x = 3\sin{\theta}[/tex]

So

[tex]\sin{\theta} = \frac{x}{3}[/tex]

Applying the arcsine(inverse sine) function to both sides, we get that:

[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Answer:

C

Step-by-step explanation:

Edge

The required figure has been attached below could be the result of dilating a given triangle with a scale factor greater than 1. The correct answer would be an option (C).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle has points (0, 0), (0, 3), and (6, 0) which are given in the question.

As per option (C), we have

On a coordinate plane, a triangle has points (0, 0), (0, 5), and (10, 0).

This result of dilating a given triangle with a scale factor greater than 1.

The required figure has been attached below which represents the dilation.

The correct answer would be an option (C).

To learn more about the transformations click here :

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Answer:

its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.

Answer

Roundworm is 9ft long and the tapeworm is 60 feet long

Step-by-step explanation:

If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)

9514 1404 393

Answer:

  B.  1.5 = 2p

Step-by-step explanation:

If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...

  2p = 1.5

or

  1.5 = 2p . . . . . . matches choice B

_____

Additional comment

Some of us would "cut to the chase" and compute the fraction directly:

  p = (price of hotdog)/(price of pizza) = 1.5/2

No such choice is offered, so the next best is the equation you get when you  multiply this by 2:

  2p = 1.5

Answer:

The amount in table as positive negative numbers: -5, 4, -1, 3, -2.

The spinner lands on red the change to Lisa's amount of money is -$5.

Step-by-step explanation:

Consider the provided table.

Part(A)

The table list how much a player receives or pays for various.

Paying some money is represented by a negative sign while receiving money is represented by a positive sign.

For red they needs to pay $5 which can be written as -5.

For blue they received $4 which can be written as 4.

For yellow they needs to pay $1 which can be written as -1.

For green they received $3 which can be written as 3.

For orange they needs to pay $2 which can be written as -2.

So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.

Part(B)

Now, we need to describe the change to Lisa’s amount of money when the spinner  lands on red.

If spinner lands on red then she needs to pay $5.

Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.

Answer:

OC

Step-by-step explanation:

3(b-2)

3(10-2)

3(8)

24

Answer:

15/8  

Step-by-step explanation:

This is a fraction so when dividing fractions you can multiply by the reciprocal.

5/8*3/1= 5*3/8*1 = 15/8  

Answer:

A) 8/27

Step-by-step explanation:

(2/3)³ = 8/27

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,

Answer:

Step-by-step explanation:

more info

Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Given,

a = 10, b = 2

Draw the figure using the given data

Apply Pythagorean theorem to find the third side or hypotenuse

[tex]c^{2}=a^{2} +b^{2}[/tex]

[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]

c = 10.19 units

We know sin θ = Opposite side / Hypotenuse

Sin A = [tex]\frac{10}{10.19}[/tex]

sin A = 0.98

cos θ = Adjacent side / Hypotenuse

cos A = [tex]\frac{2}{10.19}[/tex]

cos A =0.20

tan θ = Opposite side / Adjacent side

tan A = [tex]\frac{10}{2}[/tex]

tan A  = 5

Hence, the Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

Learn more about Trigonometric functions and Pythagorean theorem here

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Answer:

i dont know

Step-by-step explanation:

lol

Answer:

(20 + 1) + G

Step-by-step explanation:

Answer:

21/30, 22/30, 23/30

Step-by-step explanation:

Answer:

Try 60

Step-by-step explanation:

982-922=60

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

Answer:

y = -7x + 2

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

The tip of the triangle's angle is 100 (b/c 180-80)

x + 100 + 20 = 180

x + 120 = 180

x = 60

Answer:

Step-by-step explanation:

X=60

Answer:

I cant give you a linear graph but i can give you the equation and you can graph it.   y=20x+450

Step-by-step explanation:

Answer:

Y = -20x + 450.

Step-by-step explanation:

sum is the answer to addition problem.

less than is subtraction and "times" is multiplication.

So we have

3x+2=5x-4

So the answer is C.

Also, i'm bored so imma solve it.

3x+2=5x-4

    -2      -2

3x=5x-6

-5x -5x

-2x=-6

/-2   /-2

x=3

---

hope it helps

Answer:

D

Step-by-step explanation:

2×3 = 6 which is less than 8

Answer:

[tex]-1/x^2[/tex]

Step-by-step explanation:

First, let's simplify the expression on the right:

[tex]1/\sqrt{x^2}=1/x[/tex]

Next, rewriting 1/x as x⁻¹, we can use the power rule to differentiate both sides with respect to x:

[tex]y=x^{-1}\\dy/dx=d/dx(x^{-1})\\dy/dx=-x^{-2}=-1/x^2[/tex]

Answer:

He was there for 8 hours.

Step-by-step explanation:

Answer:

510

Step-by-step explanation:

200×2.55=510 this is the answer

Answer:

2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11

Step-by-step explanation:

To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11

Answer:

1, this is a binomial experiment.

Step-by-step explanation:

this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.

we have that X follows the binomial distribution

X ~ Binomial(n = 3, p = 0.50)

we have 3 outcomes( general, applied, theoretical).

mean = E(X)

= np

= 3(0.5)

= 1.5

standard deviation = σ = √np(1-p)

= √3(0.5)(1-0.5)

= √1.5(0.50)

= √0.75

= 0.8660

the mean = 1.5

the standard deviation = 0.8660