An American roulette wheel has 38 spaces, labeled using the numerals 1​ through 36​​, 0​, and 00. In a random spin of the wheel, what is the probability that the ball will land on 2?

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}[/tex]

Answer:

B

Step-by-step explanation:

A) 1 + 1 + 1 + 1 = 4

4 / 4 = 1

B) 4 + 4 = 8

8 / 2 = 4

Answer: B

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Answer:

Step-by-step explanation: Your answer will be -10 because even though -10 is much lower than 15 it’s still closer to sea level.

Step-by-step explanation:

y = -x/2 - 1

the y-intercept is right there : -1.

it is the y-value when x = 0

the point of y-intercept is therefore (0, -1).

the x-intercept is the other way around. it is the x- value when y = 0.

0 = -x/2 - 1

1 = -x/2

-2 = x

the point of x-intercept is therefore (-2, 0)

Answer:

Step-by-step explanation:

Answer:

$35.

Step-by-step explanation:

SP = 25 + 0.40*25

= 25 + 10

= $35.

Answer:

given ,

two points A ( -1 , 2 ) and B ( 0 , -14 )

______________________________________

[tex]\fbox\pink{Solution -}[/tex]

let the midpoint be P ( x , y )

using midpoint formula ,

[tex]P(x,y) = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} ) \\ \\ P(x,y) = ( \frac{ - 1 + 0}{2} , \frac{2 + ( - 14)}{2} ) \\ \\ (x,y) = ( \frac{ - 1}{2} , \frac{ - 12}{2} ) \\ \\ x = \frac{ - 1}{2} \\ \\ y = \frac{ - 12}{2} => - 6[/tex]

thus ,

the coordinates of the midpoint are

[tex]\red{P( \frac{ - 1}{2} , - 6)} \\ \\ or \\ \\ \red{P( -0.5 , - 6 )} [/tex]

hope helpful :D

Answer:

Step-by-step explanation:

A(-1,2)  x₁ = -1  &  y₁ = 2

B(0 ,-14)   x₂ = 0  & y₂ = -14

[tex]\text{ \sf Midpoint = $\left(\dfrac{x_{1}+x_{2}}{2} ,\dfrac{y_{1}+y_{2}}{2}\right)$ }[/tex]

              [tex]= \left (\dfrac{-1+0}{2} ,\dfrac{2+[-14]}{2} \right) \\\\\\=\left(\dfrac{-1}{2}, \dfrac{-12}{2}\right)\\\\\\=\left( -0.5 , -6 \right)[/tex]

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=18 \end{cases}\implies V=\cfrac{\pi (10)^2(18)}{3}\implies \stackrel{using~\pi =3.14}{V=1884}[/tex]

Answer:

See below ↓

Step-by-step explanation:

Let's find the x and y values.

Step 1 : Equate the y expressions.

Step 2 : Convert fractions in the equation to whole numbers.

Step 3 : Bring x terms to one side and constant terms to the other.

Step 4 : Solve for y by plugging the value of x into one of the given equations.

The only interval with a negative rate of change is the last one:

[1, 2.5]

For an interval (a, b) and a function f(x), the rate of change is defined as:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

So the rate of change is only negative when the function evaluated on the first value of the interval is larger than the function evaluated in the second one.

For example, on the interval [1, 2.5} we can see that:

f(1) = 3

f(2.5) = -1

Then on this interval, the rate of change will be negative, meaning that this is the correct option.

If you want to learn more about rates of change, you can read:

https://brainly.com/question/8728504

Answer:

It's D: 1 to 2.5

Step-by-step explanation:

It's D: 1 to 2.5

Answer:

5x+1=7

Step-by-step explanation:

Answer:

One bucket of popcorn:  6$

One box of candy: $3.75

2 buckets of popcorn:  $12

3 boxes of candy:  $11.25

2 buckets of popcorn and 3 boxes of candy:  $23.25

Step-by-step explanation:

We can find the cost of one bucket of popcorn and one box of candy using a system of equations

[tex]4P + 6C=46.50\\P + C =9.75[/tex]

We can use the elimination method and thus multiply the second equation by -4:  

[tex]4P + 6C = 46.50\\-4(P+C=9.75)\\\\4P + 6C = 46.50\\-4P -4C=-39\\\\2C = 7.5\\\\C = 3.75[/tex]

We can plug C into the second equation to find P:

[tex]P + 3.75 = 9.75\\P = 6[/tex]

Thus, the cost of two buckets of popcorn is 6 * 2 = $12

And the cost of three boxes of candy is 3.75 * 3 = $11.25

And the cost of both two buckets of popcorn and three boxes of candy is (6*2) + (3*3.75) = 12 + 11.25 = $23.25

Answer:

-9 3/4a+10 2/5

Step-by-step explanation:

-12 * 5/6a = -10a

-12 * -7/8 =  10 1/2

1/14 * 3 1/2a = 1/4 a

1/14 * -1 2/5 = -1/10

Put it together: -10a + 10 1/2 + 1/4a - 1/10

-10a+1/4a = -9 3/4a

10 1/2-1/10= 10 2/5

-9 3/4a + 10 2/5

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

Let's check I the given pairs of triangles are congruent or not ~

[tex]\qquad \sf  \dashrightarrow \:ABC \cong FED[/tex]

These triangles are congruent by SSS congruency, as it's three sides are equal.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:LMN \not \cong PQO[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

These triangles are not congruent because they don't fulfill any congruency criteria.

[tex]\qquad \sf  \dashrightarrow \: XVW \cong YZA [/tex]

These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: GHI \not \cong IJG [/tex]

These triangles are not congruent because they don't fulfill any criteria.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: PQR\cong QPO[/tex]

These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: JIK \cong HIG [/tex]

These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.

・ ．━━━━━━━†━━━━━━━━━．・

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: BCD \cong FED [/tex]

These triangles are congruent by ASA congruency, because they have one pair equal angles, one pair of vertical opposite angles (they are equal) and a side between them equal.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: LKM \cong LNM [/tex]

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

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

Let's see ~

Remember : value of 1 meter = 100 centimeters

[tex]\qquad \sf  \dashrightarrow \:1 \: m = 100 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: cm = \frac{1}{100} \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: cm = 0.01 \: m[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

As we know

So

turn down to fraction

[tex]\\ \rm\rightarrowtail \dfrac{1}{100}[/tex]

Turn to decimal

[tex]\\ \rm\rightarrowtail 0.01m[/tex]

function :  y = (-x) - 6

Find x-intercept :

Find y-intercept :

mark these two points on both the axis and draw a straight linear graph.

passes coordinates : (0, -6), (-6, 0)

[tex]\\ \rm\rightarrowtail y=-x-6[/tex]

Take some point s

Graph it

well, hmmm to check for polar symmetry, hmmm say we simply replace the value for either "r" or "θ" or both in the original equation, if the equation rendered is the same as the original, there you have it, symmetry, so let's do that.

[tex]\underline{\textit{testing for symmetry to the }\frac{\pi }{2}~line\qquad \qquad r=-r~~,~~\theta =-\theta } \\\\\\ r=-7+2cos(3\theta )\implies (-r)=-7+2cos[3(-\theta )]\implies -r=-7+2cos(-3\theta ) \\\\\\ \stackrel{symmetry~identity}{-r=-7+2\stackrel{\downarrow }{cos(3\theta )}}\implies r=7-2cos(3\theta )\impliedby \textit{woopsie, no dice} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\underline{\textit{testing for symmetry to the polar axis}\qquad \qquad \theta =-\theta} \\\\\\ r=-7+2cos(3\theta )\implies r=-7+2cos[3(-\theta )]\implies r=-7+2cos(-3\theta ) \\\\\\ \stackrel{symmetry~identity}{r=-7+2\stackrel{\downarrow }{cos(3\theta )}}\impliedby \textit{low and behold\qquad \Large \checkmark}[/tex]

now, we could run a test for "the pole" or namely the origin by simply changin r = -r, however we already know where the symmetry is, so no need.

Check the picture below.

Step-by-step explanation:

(−3/4b^2)(−6a^2b^5)

= 9 a²b³

Answer:

Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals

2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)

Answer:

an = 9(⅔)^(n-1)

Step-by-step explanation:

The formula for explicit is: An = a1(r)^(n-1)

Answer: 134. 89 $

Step-by-step explanation: Dina wishes to 1000$ deposit  into an investment account and then withdraw the total in the account in five years. She has the choice of two different accounts. Blue Star account: interest is earned at an annual interest rate of 6.13%  compounded weekly (52 weeks in a year). Red Star account: interest is earned at an annual interest rate of 5.95%  compounded continuously. Which investment account - Blue Star or Red Star - will result in the greatest total at the end of five years? What is the total after five years for this account? How much more is it than the total for the other account?

Using proportions, it is found that the error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that 100% = 1 of the number is w, while 6 is equals to 6.25% = 0.0625. Hence the rule of three is given by:

1 - w

0.0625 - 6

Applying cross multiplication:

0.0625w = 6.

w = 6/0.0625

w = 96.

The error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

3/4 ratio

Step-by-step explanation:

This is the answer

Answer:

  parry

Step-by-step explanation:

You are looking for a 5-letter word that has two letters R in it. One such is ...

  parry

Answer: B

Step-by-step explanation:

Multiply U and V:

[tex]\begin{pmatrix}-9&1&0\\ \:4&0&2\\ \:0&1&5\end{pmatrix}\begin{pmatrix}2\\ \:-2\\ \:1\end{pmatrix}[/tex]

[tex]\mathrm{Multiply \ the \ rows \ of \ the \ first \ matrix \ by \ the \ columns \ of \ the \ second \ matrix:}[/tex]

[tex]\begin{aligned}&\left(\begin{array}{ccc}-9 & 1 & 0\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=(-9) \cdot 2+1 \cdot(-2)+0 \cdot 1 \\&\left(\begin{array}{ccc}4 & 0 & 2\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=4 \cdot 2+0 \cdot(-2)+2 \cdot 1 \\&\left(\begin{array}{lll}0 & 1 & 5\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=0 \cdot 2+1 \cdot(-2)+5 \cdot 1\end{aligned}[/tex]

[tex]=\begin{pmatrix}\left(-9\right)\cdot \:2+1\cdot \left(-2\right)+0\cdot \:1\\ 4\cdot \:2+0\cdot \left(-2\right)+2\cdot \:1\\ 0\cdot \:2+1\cdot \left(-2\right)+5\cdot \:1\end{pmatrix}[/tex]

[tex]\mathrm{Simplify\:each\:part:}[/tex]

[tex]=\begin{pmatrix}-20\\ 10\\ 3\end{pmatrix}[/tex]

Therefore, the correct answer is B

Answer:

Pi times radius to the power of two times the height  

Step-by-step explanation

i gave you the formula now solve

Check the picture below, so the lines look more or less like so, so the shape that we'll be getting will be the shape of a bowl with a hole in it, thus we'll use the washer method.

the way I use to get the larger Radius is simply using the "area under the curve" method, namely f(x) - g(x), where g(x) in this case is the axis of rotation.

so to get "R" and "r" we can get it by

[tex]\stackrel{y = 1}{(1)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies 1+3\implies \stackrel{R}{4} \\\\\\ \stackrel{y = \ln(x)}{\ln(x)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies \stackrel{r}{ln(x)+3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{R^2}{(4)^2}~~ - ~~\stackrel{r^2}{[\ln(x)+3]^2}\implies 16~~ - ~~[\ln^2(x)+6\ln(x)+9] \\\\\\ \ln^2(x)+6\ln(x)+7~\hfill \boxed{\displaystyle\int~[\ln^2(x)+6\ln(x)+7]dx}[/tex]

Answer:

▲ Base and height. This is the basic volume equation of a triangular prism: Volume = 0.5 * Base * Height * Length. ...

◣ Right triangle. Probably the most popular type of prism! ...

▲ 3 sides. Volume = 0.25 * √( (a+b+c) * (-a+b+c) * (a-b+c) * (a+b-c) ) * Length.

Step-by-step explanation: