someone answer this please

Answer:

1/3

Step-by-step explanation:

p(A) = (number of A's on the spinner)/(total number of letters on the spinner)

p(A) = 2/6 = 1/3

Simplify the integrand as

[tex]\dfrac{2x^3 - x^2 - 2x + 4}{1 + x^2} = \dfrac{(2x^3 + 2x) - (x^2 + 1) - 4x + 5}{x^2 + 1} \\\\ = \dfrac{2x(x^2 + 1) - (x^2 + 1) - 4x + 5}{x^2 + 1} \\\\ = 2x - 1 - \dfrac{4x - 5}{x^2 + 1}[/tex]

(in other words, compute the quotient and remainder)

We can further split up and prepare the remainder term for integration by rewriting it as

[tex]\dfrac{4x - 5}{x^2 + 1} = 2\times\dfrac{2x}{x^2 + 1} - \dfrac5{x^2 + 1}[/tex]

Now we integrate:

[tex]\displaystyle \frac{2x^3 - x^2 - 2x + 4}{1 + x^2} \, dx = \int \left(2x - 1 - 2\times\frac{2x}{x^2+1} + \frac5{x^2+1}\right) \, dx[/tex]

[tex]\displaystyle = x^2 - x - 2 \int \frac{2x}{x^2+1} \, dx + 5 \int \frac{dx}{x^2+1}[/tex]

In the first remaining integral, substitute y = x² + 1 and dy = 2x dx. In the last integral, recall that d/dx [arctan(x)] = 1/(x² + 1).

[tex]\displaystyle = x^2 - x - 2 \int \frac{dy}y + 5 \int \frac{dx}{x^2+1}[/tex]

[tex]\displaystyle = x^2 - x - 2 \ln|y| + 5 \arctan(x) + C[/tex]

[tex]\displaystyle = \boxed{x^2 - x - 2 \ln(x^2+1) + 5 \arctan(x) + C}[/tex]

Answer:

you would have to separate the shapes and find out what the area  of them both and add them together

Step-by-step explanation:

Answer:

The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

Step-by-step explanation:

hope it helps

Answer:

$9,360

Explanation:

so for 1040 hours, he earned:

$9 * 1,040

$9,360

Answer:

T = 31

Step-by-step explanation:

(T + 8) + T = 70

subtract 8 from both sides

T+T = 62

Rewrite

2T = 62

divide both sides by 2

T = 31

Answer:

1. 0.69

2. 1.16

Step-by-step explanation:

1.

Decrease of 31% = 100% - 31% = 69%

Convert 69% to a decimal = 69/100 = 0.69

2.

Increase of 16% = 100% + 16% = 116%

Convert 116% to a decimal = 116/100 = 1.16

heres a link hope it help you

https://www.journaldespalaces.com/carriere/offre-118597-Officier-de-restauration-Cafetier.html

Answer:

Step-by-step explanation:

Expression => | -2 |

Equation => 6 - 1 = 2 + 3

Inequality => 8^m > 64

Answers:

Expression is [tex]|-2|[/tex]

Equation is [tex]6-1 = 2+3[/tex]

Inequality is [tex]8^m > 64[/tex]

====================================================

Explanation:

If it has an equal sign, then it's an equation.

If it has an inequality sign of one of the following [tex]< , \ > , \ \le, \ \ge[/tex], then it's an inequality.

Otherwise, it's an expression.

Answer:

1.) Approximately 68%We can summarize use of the standard deviation as a yardstick with the Empirical Rule, also known as the 68-95-99.7% Rule. In any normal distribution with mean μ and standard deviation σ : Approximately 68%of the data fall within one standard deviation of the mean.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf{b=55\:(b=y-intercept\:;)}}[/tex]

Step-by-step explanation:

Hello.

The y-intercept of a line is a point where the graph touches the y-axis.

Y-intercepts always have an x-coordinate of 0.

Now, what is the y-intercept?

If we have a point (0, b) then b is the y-intercept.

This is just a formula, so don't think that the y-intercept is b, okay?

The y-intercept is b, but only in formulae. :)

Using the formula, we can deduce that

the y-intercept is 55.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer:

The answer is B 80.00 hope this helps

have a nice day

Step-by-step explanation:

Translation involves moving a function along its coordinates

The image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]

The parent function is given as:

[tex]f(x) = x^2[/tex]

When the function is translated 2 units left, we have:

[tex]f'(x) = (x + 2)^2[/tex]

When the function is translated 6 units down, we have:

[tex]f"(x) = (x + 2)^2 - 6[/tex]

Rewrite as:

[tex]g(x) = (x + 2)^2 - 6[/tex]

Hence, the image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]

Read more about translation at:

https://brainly.com/question/11468584

Answer:

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

We need slope

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{2-1}{6-3}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{1}{3}[/tex]

This can be solved using two methods:

Method #1:

The slope is 1/3.

Method #2:

The slope is 1/3.

Looking at the two methods, we can conclude that:

The slope of the line is 1/3.

Answer:151 in.³

Step-by-step explanation:

Answer:

i'm not sure but here's some encouragement- YOU CAN DO IT

Step-by-step explanation:

Answer:

"Through" (and any subsequent words) was ignored because we limit queries to 32 words.

Answer:

where is the table?

Step-by-step explanation:

._.

Answer:

above is the solution to the question

Answer:

Point P is the center of Rotation.

Answer:

it's going to be 30 and 18

The possible measurements for arc AD and arc BC are 130° and 34° respectively.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Given is a circle.

We have the outside angle formed by the two secants is ∠AED and the measure for it is 48°.

Outside Angle Theorem states that " the measure of an angle which is formed by joining two tangents, or two secants, or one of either of them is equal to the measure of half of the difference of the intercepted arcs.

Here outside angle, ∠AED = 48°

Intercepted arcs are AD and BC.

Using the theorem,

∠AED = (Arc AD - Arc BC) / 2

This holds only if AD = 130° and BC = 34°.

(130 - 34) / 2 = 48

Hence the correct option is D. 130° and 34°.

Learn more about Circle Arcs here :

https://brainly.com/question/3384740

#SPJ3

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

⠀

Now substituting the values :

[tex]\qquad {\dashrightarrow{ \sf{214 \: in\times 234 \: in = Area_{(rectangle)}}}}\:[/tex]

[tex]\qquad {\dashrightarrow \: { { \sf{50,076 \: {in}^{2} = Area_{(rectangle)}}}}\:}

[/tex]

⠀

Hence, The area of the rectangle is 50,076 in² .

The area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle.

The rectangle given in the problem has,

Thus, the area of the rectangle is,

[tex]A=2\dfrac{1}{4}\times2\dfrac{3}{4}\\A=\dfrac{8+1}{4}\times\dfrac{8+3}{4}\\A=\dfrac{9}{4}\times\dfrac{11}{4}\\A=\dfrac{99}{16}\\\A=\dfrac{96+3}{16}\\A=6\dfrac{3}{16}[/tex]

Thus, the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

[tex]f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}[/tex]

Answer:

Step-by-step explanation:

The factored form of a quadratic function is f (x) = a (x - p) (x - q) where p and q are the zeros of f (x).

Answer:

Step-by-step explanation:

1 3 5 are all odd numbers.

There are 6 numbers all together on a die. 1 2 3 4 5 6

That means that 3/6 times, he should roll an odd number

3/6 * 78 = 39

He should get 39 rolls which are an odd number.