Think I fell asleep during this lesson... whoops ¯\_(ツ)_/¯

**Wrong answers will be reported

Answer:

Area of circle = π(12^2) = 144π

Area of red triangle = (1/2)(24)(12) = 144

P(point in circle is in triangle)

\( \frac{144}{144\pi} = \frac{1}{\pi} = .32\)

The probability that point falls in red shaded triangle is 0.32

probability is the ratio of the number of favorable to the total possible outcomes of an experiment.

Total possible outcomes= Area of circle

Area = π*12² = 144π

Favorable outcomes = Area of Triangle

Area = 1/2 * 24 * 12 = 144

P(shaded triangle) = 144/144π = 0.318

Therefore, probability that point falls in red shaded triangle is 0.32

Learn more on probability :https://brainly.com/question/24756209

#SPJ2

Answer:

44/100

Step-by-step explanation:

You multiply both top and bottom by 4 since 25*4 is 100

44/100

multiply the fraction by 4/4

11*4 = 44

25*4= 100

The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation,

2 units down and 3 units right

The coordinate will change as,(x,y) → (x+3,y-2) so it will change.

The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.

The slope and angle are unchanged irrespective of any transformation.

Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ1

Answer:

you should use cosine law

it state that the third side lets name it c

c^2=a^2+b^2 -2 × a × b × cos (angle between the 2 sides)

a and b are the 2 sides given

Let's use variables to represent the number of child and adult tickets sold on Wednesday.

Let c be the number of child tickets sold, and let a be the number of adult tickets sold.

We know that the price of a child ticket is $5.60, and the price of an adult ticket is $9.40.

From the problem statement, we know that 177 tickets were sold in total, so:

c + a = 177

We also know that the total revenue from ticket sales was $1352.20, so:

5.60c + 9.40a = 1352.20

Now we have a system of two equations with two variables. We can solve for a by using the first equation to express c in terms of a, and then substituting into the second equation:

c + a = 177 --> c = 177 - a

5.60c + 9.40a = 1352.20

Substituting c = 177 - a into the second equation, we get:

5.60(177 - a) + 9.40a = 1352.20

Expanding and simplifying:

992.20 - 5.60a + 9.40a = 1352.20

3.80a = 360

a = 95

Therefore, 95 adult tickets were sold on Wednesday.

Its bugging out but I got 95 tickets I would add explanation if it didn't act out.

X=Adult tickets

Y=Child tickets

X+Y=117

Y=117-X

9.40X+5.60Y=1352.20

9.40X+5.60(117-X)=1352.20

9.40X+991.20-5.60x=1352.20

3.80X=361

X=95

Answer:

Slope-intercept: y = -3x + 3

Standard: 3x + y = 3

Step-by-step explanation:

Given (0,3) and (1,0)

Slope m = (y2-y1)/(x2-x1)

m = (0 - 3)/(1 - 0)

m = -3/1 = -3

Slope-intercept: y = mx + b

using (1,0)

0 = -3(1) + b

0 = -3 + b

b = 3

so y = -3x + 3

Slope-intercept: y = -3x + 3

Standard: 3x + y = 3

Answer:

3.38 cm^3

Step-by-step explanation:

volume of cylinder = pi r^2 h

    10.14 / pi  = r^2 h

volume of a cone =  1/3  pi r^2  h

     V  = 1/3 pi  (10.14/pi)   = 3.38

Answer:

-63

Step-by-step explanation:

\[x²-3x+18\]

discriminant=b²-4ac=(-3)²-4*1*18=9-72=-63

Answer:

\(\boxed {\boxed {\sf -63}}\)

Step-by-step explanation:

The discriminant is the portion of the Quadratic Formula that is under a square root. It helps us identify if a function has 2,1, or 0 solutions.

The quadratic formula is:

\({x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}\)

where the quadratic is: ax²+bx+c

The part under the square root is just:

\(b^2-4ac}\)

We are given the quadratic:

x² -3x+18

Therefore,

Substitute the values into the formula for the discriminant.

\((-3)^2-4(1)(18)}\)

Solve the exponent.

\(9-4(1)(18)}\)

Multiply.

\(9-72\)

Subtract

\(-63\)

Since the discriminant is negative, there are no real solutions. There are imaginary solutions though.

Answer: I don’t see the table so I can’t really help with that unless you can edit the post

Step-by-step explanation:

Answer:

I gave a couple solutions as I wasn't sure if you were asking for graphing purposes or substituting y=-x+6 into the second equation 2x-y=-9. So I gave both solutions just in case.

for the first equation y=-x+6, y intercept is (0,6)

for equation two 2x-y=-9, y intercept is (0,9)

In both of the equations the x value is 1.

Solving for y without graphing. Y=9+2x

and x=-1

Step-by-step explanation:substitute i

HOWEVER, if you are saying that the top equation is the value of y, then you substitute it into the bottom equation. 2x--x+6=-9 which would be x=-5

It really depends on what is expected of the question. I wasn't sure which one, so I gave a couple different approaches. If you could give more information, such as, are you graphing, that would be great. I'll keep an eye out for any comments.

Answer:

14.

Step-by-step explanation:

this a addition problem since it says "overall".

you simply add them.

Step-by-step explanation:

Number 1

180° = x + 70° + 55° + 30°

180° = x + 155°

x = 180° - 155°

x = 25°

Number 2

x° = 93°

y° = 47°

z° = 180° - 47° - 93°

z° = 180° - 140°

z° = 40°

#LearnWithEXO

Answer:

-13x + 14

Step-by-step explanation:

Answer: x = 10

Step-by-step explanation:ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln 20 + ln 5 = 2 ln x

⇒ ln(20×5) = lnx²

⇒ ln100 = lnx²

Take anti logarithms on both sides,

⇒ 100 = x²

Taking the square root,

⇒ x = 10

Hence, the true solution is x = 10.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ6

The measure of each angle is A = 113°, B = 25° and C = 42°, the length is each side is a = 8 mm, b = 5 mm, c = 5.4 mm.

Triangles:

Triangles are geometric figures of three sides with three internal angles. We can apply different laws and rules to solve different types of triangles. For example, the law of cosines allows us to solve oblique triangles. We can find sides and angles by applying this law. We can use the law of cosines if we have the length of two sides of a triangle and the angle formed by them.

Given that

a = 8

b = 5

c = 42°

To solve the triangle, we are first going to make a diagram with the given information:

We start by applying the law of cosines to find the length of

\(c^{2} = a^{2}+ b^{2}-2abcosc\)

Substituting a =8, b = 5 and c = 42°, we have

\(c^{2} = 8^{2}+5^{2} -2(8)(5)cos42^{0}\)

\(c^{2} = 64+25 - 59.45\)

\(\sqrt{c^2} =\sqrt{64-34.45}\)

c = 5.435 = 5.4

Now, we apply the law of cosines to find the measure of angle B

\(b^2 = a^2+c^2-2accosB\)

Substituting the lengths a = 8, b = 5, c = 5.4

\(5^2 = 8^2+5.4^2- 2(8)(5.4)cosB\\\)

Note: we can substitute the lengths of the sides without the unit. Simplifying, we have:

25 = 64+29.16 - 86.4 cos B

25 = 96.16 - 86.4 cos B

cosB = 0.603

Now, we must apply inverse cosine on both sides of the equation:

\(cos^-1(cos B) = cos^-1(0.603)\\\\\)

B = 25.256°

B = 25°

Lastly, we apply summation of internal angles of a triangle to find the angle A:

A + B + C = 180°

we need to isolate angle A:

A + 25°+ 42° = 180°

A + 67° = 180°

A = 113°

Hence the answer is, the measure of each angle is A = 113°, B = 25° and C = 42°, the length is each side is a = 8 mm, b = 5 mm, c = 5.4 mm.

To learn more about angles click here https://brainly.com/question/25716982

#SPJ1

1. By using pigeonhole principle , there are 12 months in a year and more than 36 people, there must be at least three people who were born in the same month. Therefore, the answer is Yes.

2. To determine whether there will be at least five people who celebrate their birthday in the same month, we will use the pigeonhole principle again. However, since there are only 12 months in a year, it is impossible for there to be at least five people born in the same month if there are less than 60 people. Therefore, the answer is No.

3. The objects in this scenario are the people, and the boxes are the months of the year.

4. To guarantee that there will be at least five people born in the same month, we need to find the minimum number of people required to fill up all 12 months and add 4 more people. This is because the maximum number of people we can have in each month before we have at least 5 people in the same month is 4. Therefore, the minimum number of people we need to guarantee that there will be at least five people born in the same month is 4 x 12 + 4 = 52.

To know more about pigeonhole principle visit:

https://brainly.com/question/33160176

#SPJ11

The Cournot Duopoly model is a game-theoretic model that analyzes the strategic interaction between two firms in a market with inverse demand. This model assumes that both firms simultaneously choose their quantities of production, taking into account the other firm's production decision.

The task is to describe the payoffs and formal elements of the game, write the maximization problem for each firm and determine their best response correspondences, and compute the profits and equilibrium price in the duopoly.

(a) In the Cournot Duopoly model, each firm's payoff or profit is determined by the difference between its revenue and production costs. The game can be formally described by three elements: the set of players (two firms), the set of strategies (the quantities of production chosen by each firm), and the payoff function (which calculates the profit based on the chosen quantities and the inverse demand function).

(b) To maximize their profits, each firm solves an optimization problem by choosing its quantity of production. The best response correspondence for each firm represents the optimal production decision given the other firm's production level. An increase in firm 2's production will affect firm 1's optimal production decision by reducing its market share and potentially leading to a decrease in its optimal production quantity.

(c) In equilibrium, both firms will choose their optimal production quantities considering the other firm's decision. The profits obtained by each firm can be calculated by subtracting the production costs from the revenue generated at the equilibrium quantity. The equilibrium price can be determined by substituting the equilibrium quantity into the inverse demand function.

To learn more about revenue: -brainly.com/question/32455692

#SPJ11

Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

To learn more about integral visit: https://brainly.com/question/18125359

#SPJ4

Answer:

Step-by-step explanation:

DOES ANYONE KNOW THE ANSWER

Answer:

Original price = $49.98

Step-by-step explanation:

Target has it listed for $34.99 which is 70% of the original price.

Let the original price be x.

ATQ,

\(70\%\ of\ x=34.99\\\\x=\dfrac{34.99\times 100}{70}\\\\x=\$49.98\)

So, the original price of the Lego set is $49.98.

The discriminant of the quadratic equation 4x² - 8x = 5(x - 2) is 9.

To find the discriminant of the quadratic equation 4x² - 8x = 5(x - 2)

we first need to rewrite it in standard form, which is ax² + bx + c = 0, where a, b, and c are constants:

4x² - 8x - 5x + 10 = 0

4x² - 13x + 10 = 0

Now we can use the formula for the discriminant, which is b² - 4ac

b² - 4ac = (-13)² - 4(4)(10)

= 169 - 160

= 9

Therefore, the discriminant of the quadratic equation 4x² - 8x = 5(x - 2) is 9.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

Answer:

\(160^{\circ}\)

Step-by-step explanation:

Arc \(AC\) has a measure of \(160^{\circ}\) by the inscribed angle theorem.

Since \(\angle COA\) is a central angle, \(m\angle COA=160^{\circ}\).

The measure of angle COA is 160°.

Inscribed Angle Theorem states that the angle inscribed in a circle has a measure of half of the central angle which forms the same arc.

Given a circle.

Given an inscribed angle formed by the arc CA.

Measure of the inscribed angle, ∠CBA = 80°

∠COA is the central angle formed by the same arc.

Using the inscribed angle theorem,

∠COA = 2 × 80° = 160°

Hence the angle is 160°.

Learn more about Inscribed Angle Theorem here :

https://brainly.com/question/5436956

#SPJ5

Answer:

If rotated clockwise, then (3, -1)

If rotated counterclockwise, then (-3,1)

Step-by-step explanation:

Hope that helps!

Answer:

Vertex: (5,-8)

Root: (3,0) and (7,0)

Y intercept: (0,42)

Step-by-step explanation: 2(x-5)^2 -8 graphed

Steps to solve:

7 + (3x^2)

~Substitute

7 + 3(0)^2

~Simplify

7 + 3(0)

~Simplify

7 + 0

~Add

7

Best of Luck!

A set of exactly n vectors in \(R^n\) does not necessarily have to be linearly independent or span \(R^n\). The linear independence and span of a set of vectors depend on the specific vectors in the set.

The linear independence of a set of vectors refers to the property that none of the vectors in the set can be written as a linear combination of the others. If a set of n vectors in \(R^n\) is linearly independent, it means that none of the vectors can be expressed as a combination of the remaining vectors in the set.

On the other hand, the span of a set of vectors refers to the set of all possible linear combinations of those vectors. If a set of n vectors in R^n spans \(R^n\), it means that any vector in \(R^n\) can be expressed as a linear combination of the given vectors.

Whether a set of n vectors in \(R^n\) is linearly independent or spans \(R^n\) depends on the specific vectors in the set. It is possible to have a set of n vectors that are linearly dependent and do not span \(R^n\). In this case, the vectors can be expressed as linear combinations of each other, and they do not cover all possible vectors in \(R^n\).

In order for a set of n vectors in \(R^n\) to be guaranteed to be linearly independent and span \(R^n\), the vectors must satisfy certain conditions. For example, if the set of vectors consists of n linearly independent vectors, then they will span \(R^n\).

However, this is not a necessary condition, and it is possible to have sets of n vectors that do not meet these criteria.

To know more about vectors here:

https://brainly.com/question/24256726

#SPJ11

The manufacturer of allay pain reliever offered a free sample of the product to visitors who registered at its website. in this case, the communications objective of the website was to increase awareness of Allay Pain Reliever and generate customer leads.

Communication objectives are the aims and principles that guide how a person or company interacts with customers, staff, or other stakeholders. Workplaces can establish and uphold uniform standards for every contact by adopting communication strategies.

In order to achieve marketing goals with an increase in the rate of purchases or information requests, the communication objectives must first develop a good consumer attitude.

To know more about  communication objectives visit:

https://brainly.com/question/28263316

#SPJ4

Answer:

77

Step-by-step explanation:

why because 100+3=103

and this is half a circle so the answer is 180-103 that is 77

Answer:

Step-by-step explanation:

From the question it can be seen that all the angles lie on a straight line and

Angles on a straight line add up to 180°

To solve for x add up all the angles and equate them to 180°

That's

x + 3x + 100 = 180

4x + 100 = 180

Subtract 100 from both sides

4x + 100 - 100 = 180 - 100

4x = 80

Divide both sides by 4

We have

We have the final answer as

Hope this helps you

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

Explanation:

Plug in x = 3 to get

h(x) = x^2 + 10x + 32

h(3) = 3^2 + 10*3 + 32

h(3) = 71

Repeat for x = 11

h(x) = x^2 + 10x + 32

h(11) = 11^2 + 10*11 + 32

h(11) = 263

Now use the average rate of change formula

m = average rate of change

m = ( h(b) - h(a) )/(b - a)

m = ( h(11) - h(3) )/(11 - 3)

m = (263 - 71)/(11 - 3)

m = 192/8

m = 24

Answer:

in the first person participle.

Step-by-step explanation: