Worth 20 points Il will mark brainiest! :)

The picture is included too oh and the question is already in the picutre but just incase you cant see what it says it says this

In the diagram below lines, AB and CD are . sorry if the picture is a bit dark

Answer:

no

Step-by-step explanation:

Doesn't add to 12

\( - 5x + y = 12\)

Add both sides 5x

\( - 5x + 5x + y = 5x + 12\)

\(y = 5x + 12\)

&

\(y = - x\)

Thus :

\( - x = 5x + 12\)

Add both sides x

\( - x + x = 5x + x + 12\)

\(0 = 6x + 12\)

Subtract both sides 12

\(0 - 12 = 6x + 12 - 12\)

\( - 12 = 6x\)

Switch sides

\(6x = - 12\)

Divide both sides by 6

\( \frac{6x}{6} = \frac{ - 12}{6} \\ \)

\(x = - 2\)

We found the x-coordinate of the solution point ; to find the y-coordinate we just need to put the value of x in one 0f the given equations :

\(y = - ( - 2) \)

\(y = 2\)

Thus ( - 2 , 2 ) is the solution to this system of equations.

The probability that a randomly selected member of Congress who favours corporate tax reform is a Democrat is 0.4444, rounded to four decimal places.

To solve this problem, we can use Bayes' theorem. Let D represent the event that the selected member is a Democrat, and R represent the event that the selected member is a Republican, and I represent the event that the selected member is an Independent. Let F represent the event that the selected member favors some type of corporate tax reform. We are given the following probabilities:

P(R) = 0.28, P(D) = 0.50, P(I) = 0.22

P(F|R) = 0.34, P(F|D) = 0.35, P(F|I) = 0.31

We want to find P(D|F), the probability that the selected member is a Democrat given that they favor corporate tax reform. We can use Bayes' theorem:

P(D|F) = P(F|D)P(D) / [P(F|D)P(D) + P(F|R)P(R) + P(F|I)P(I)]

Plugging in the values we know, we get:

P(D|F) = 0.35 * 0.50 / [0.35 * 0.50 + 0.34 * 0.28 + 0.31 * 0.22]

P(D|F) = 0.4444 (rounded to four decimal places)

Therefore, the probability that the selected member is a Democrat given that they favour corporate tax reform is 0.4444.

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Answer:

65.12 ft^2

Step-by-step explanation:

Patio's area = area of trapezoid + area of semicircle

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

1/2 x ( 12 + 8) x 4 = 40 ft^2

Area of semicircle =  (1/2)πr²

r = 8/2 = 4ft

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(1/2) x 3.14 x 4^2 = 25.12 ft^2

Area of patio = 40 ft^2 +  25.12 ft^2  = 65.12 ft^2

t = 40

25.12

Answer:

x = 144°

Step-by-step explanation:

In the figure given , two regular polygons are given to us. Since the polygon has five sides , it is a regular Pentagon. We know that each angle of a regular Pentagon is 108° .

So , here as per figure two regular Pentagons are attached base to base . Now , we know that,

According to Question ,

⇒ 108° + 108° + x = 360°

⇒ 216° + x = 360°

⇒ x = 360° - 216°

⇒ x = 144°

Answer:

Range of player's height = 9 inch

Step-by-step explanation:

Given:

Number of players    Height range

4                                     66-67

8                                     68 -69

14                                    70-71

9                                     72-73

1                                      74-75

Find:

Range of player's height

Computation:

Range = Maximum value - Minimum Value

Range of player's height = Maximum height of a player - height of a player

Range of player's height = 75 inch - 66 inch

Range of player's height = 9 inch

we know that

If two triangles are similar, then their corresponding angles are congruent

In this problem

we have that

First case

angle x and angle 60 are corresponding angles

angle (x+10) and angle (2x-50) are corresponding angles

so

x=60

x+10=2x-50

2x-x=10+50

x=60

is ok

Second case

angle (x+10) and angle 60 are corresponding angles

angle x and angle (2x-50) are corresponding angles

so

x+10=60

x=50

x=2x-50

2x-x=50

x=50

therefore

The time needed to reach the amount of $21000 will be 36.5 years.

It is given that

Principle = $8600

Rate = 3.95%

Total amount = $21000

So the total interest will be = Amount -principle = 21000-8600=$12400

So by using the formula

\(SI = \dfrac{P\times R\times T}{100}\)

Here p = principle

R= Rate of interest

T= time

SI= interest amount

Now putting the values

\(12400= \dfrac{8600\times3.95\times T\time}{100}\)

\(T=\dfrac{12400\times100}{3.95\times8600}\)

\(\rm T=36.5 \ years\)

Thus the time needed to reach the amount of $21000 will be 36.5 years.

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Answer:

3(x+5)

hope it helps you

Answer:

106 sq.meters

Step-by-step explanation:

Hi! Here is your step by step explanation, if you have any questions, feel free to comment back to me and I'll help you out! I hope this helps, please leave a brainly if you can!

You want to break this shape up into 3.

First, multiply the longest side. DO NOT do 10x12, do 10x5, since the side of that rectangle is 5, not 12 (12 is the whole shape). Then, do 4 by 7 twice, since the shorter sides have those dimensions. Then add that up to get...

2(7x4)= 56

10x5=50

50+56=106

Answer:

8/9 is a rational number.

Step-by-step explanation:

Rational numbers are numbers that result when one integer is divided by another integer. Since 8 is an integer and 9 is...

The style that will be least expensive for the project, based on the product of the fractions representing the dimensions is the Style D that will yield a total cost of $25.92

A fraction is a representation of a part of a whole. It is a quantity which forms part of a whole number.

The area Qiang wants to tile = 3 ft × 3 ft

The price list and area of each tile, based on the product of the fractions of the tile dimensions are;

A; (5/6) × (1 1/12) = 65/72 cost 3.25

B; (5/6) × (2 1/12) = 125/72 cost 6.20

C; (5/6) × (5/6) = 5/16 cost  2.75

D; (5/12) × (3/4) = 5/16 cost 0.90

E; (5/12) × (5/12) = 25/144 cost 0.65

The areas of the tiles are;

The number of tiles required,  are;

Cost of tiles style A = 9/(65/72) × 3.25 = 32.4

Cost of tiles style B = 9/(125/72) × 6.20 = 32.14

Cost of tiles style C = 9/(5/16) × 2.75 = 79.2

Cost of tiles style D = 9/(5/16) × 0.90 = 25.92

Cost of tiles style E = 9/(25/144) × 0.65 = 33.696

The least expensive style for the project is style D

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Answer:

$300

Step-by-step explanation:

First, you subtract 475 and 175.

Which equals 300. That means that you saved $300.

Answer:$300

Step-by-step explanation:

475 (base price) - 175 (sale price)

=300 (saved price)

Answer:

-4

Step-by-step explanation:

you will have to replace the n with -7, that means,

(-7+5)2

when a number is beside a bracket, it automatically means multiply

you will have to solve the numbers in the bracket first

-7 +5 is equal to -2

then, -2 multiplied by 2 is equal to -4

Answer:

-4

Step-by-step explanation:

So lets substitute n with -7.

---->  (-7+5)2

Now let's solve this equation step by step....

---->. -2(2) ----> -4

I hope this helps:)

For the binomial distribution , the formula which finds the standard deviation is σ = √(n × p × (1-p)) .

The Standard Deviation is a measure of how much the values in the distribution vary from the mean.

The formula for calculating standard-deviation of a binomial distribution is ⇒ σ = √(n × p × (1-p)) ,

Where: σ = standard deviation , n = sample size , p = probability of success on a single trial ,

This formula can be used to calculate the spread or variability of a binomial distribution, which represents the distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.

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The collection of outcomes for the event e of rolling a sum of 5 contains 4 possible outcomes: {1, 4}, {2, 3}, {3, 2}, {4, 1}.

To find the number of outcomes in the event of rolling a sum of 5, we need to determine all the possible ways to get a sum of 5 when rolling two number cubes.

There are several ways to get a sum of 5

The first cube lands on 1 and the second cube lands on 4.

The first cube lands on 2 and the second cube lands on 3.

The first cube lands on 3 and the second cube lands on 2.

The first cube lands on 4 and the second cube lands on 1.

Therefore, the collection of outcomes for the event e of rolling a sum of 5 contains 4 possible outcomes

{1, 4}, {2, 3}, {3, 2}, {4, 1}

So, there are 4 outcomes in the collection for event e.

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Answer:

Slope = 1

Step-by-step explanation:

Answer:

Since 15 is greater than 8, the correct expression will be:

15 > 8

Since 4 is less than 134, the correct expression will be:

4 < 134

Since 3 is less than 5, the correct expression will be:

3 < 5

Since 351 is greater than 215, the correct expression will be:

351 > 215

Step-by-step explanation:

The greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away

Answer:

3.9........................

The length of the ribbon used for the craft project is 3 meters

The length of ribbon need for the craft project = 114 inches

So, the length of the ribbon need to be in meters .

Thus, we can convert inched to centimeter by

                  1 inches = 2.54 centimeters

We know that 1 cm = 0.01 m

Thus , 1 inch = 2.54 x 0.01 m

          1 inch = 0.0254 m

Then for length of 114 inch ,

      114 inch = 0.0254 x 114 meters

                    = 2.89

                   ≈ 3 meters

Therefore , the length of the ribbon is 3 meters

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(C): 3 meters.

Step-by-step explanation: The answer is 3 meters. The way to find this is relatively easy.

1. First, write 114 x 2.54.

2. Which is 289.56. Next, we convert 389.56 centimeters to meters.

3. That should give you 2.89. Because 8 is bigger than 4, we round up.

4. Now our answer is 3.

AFTER MESSAGE: I hope this helps! This is my first answer in a while, so forgive me if it is complicated. Also, give brainliest to other guy, he was here first.

Thank you!

Answer: Danny's supermarket

Step-by-step explanation:

Danny's price- 0.75x1.5= $1.12 for 1 liter water bottle

Marta's price- $1.50 for 1.25 liter water bottle

1.12x1.25=1.40, if Danny was selling a 25% bigger bottle(making the bottle size equal to Marta's) it would cost $1.40, the lower price

Answer:

∠MGN = 24°

∠NGO = 24°

Step-by-step explanation:

⭐What is an angle bisector?

Thus, ∠MGN ≅ ∠NGO.

To solve for ∠MGN and ∠NGO, we need to:

1. Create an equation about their relationship:

If ∠MGN ≅ ∠NGO, then...

\(5x-6 = 11x -42\)

2. Solve for "x":

\(5x - 6 = 11x -42\)

\(42 - 6 = 11x - 5x\)

\(36 = 6x\)

\(6 = x\)

3. Substitute "x" back into the equations to find the angle measures:

\(< MGN = 5x - 6\)

\(< MGN = 5(6) - 6\)

\(< MGN = 30 - 6\)

\(< MGN = 24\)

❗❗❗At this point, you could write that ∠MGN and ∠NGO = 24°, as they are congruent, but you should still substitute "x" into  ∠NGO to make sure "x" is correct.❗❗❗

\(< NGO = 11x - 42\)

\(< NGO = 11(6) - 42\)

\(< NGO = 66 - 42\)

\(< NGO = 24\)

∴ ∠MGN = 24°

∴ ∠NGO = 24°

The cities such that this path is \(C_{1}\) → \(C_{2}\) → \(C_{3}\) . . . → \(C_{n}\). Now, if all roads are going towards \(c_{n}+1\), then add  \(c_{n}+1\) at the end of this path. Otherwise, let \(C_{i}\) be the first city in this path such that there is a road from  \(C_{i}\)-1 to  \(c_{n}+1\) and from  \(c_{n}+1\) to  \(C_{i}\). Place  \(c_{n}+1\) between  \(C_{i}\)−1 and  \(C_{i}\) to get the desired path.

Mathematical Induction is a technique of proving a statement, theorem or formula which is thought to be true, for each and every natural number n. By generalizing this in form of a principle which we would use to prove any mathematical statement is 'Principle of Mathematical Induction'.

The question says that between any two cities X and Y, either there’s an

one-way road from X to Y or from Y to X, but not both. Then show that

there is a path from some city A which visits all the cities exactly once.

This problem is very similar to the Football league problem #7 in Homework 1. This problem can be modeled as a directed graph in which cities

are represented as vertices and there’s an edge from vertices X to Y if

there’s a road from cities X to Y. And then, our goal is to find a path

in this graph which visits every vertex in the graph.

The rest of the solution is very similar to the argument in Problem 7 of

homework 1. We use induction of number of cities, say n.

As a base case, if n = 2, there are only two cities X and Y and the path

is simply the edge between X and Y.

For induction hypothesis, assume that the statement is true for any set

of n cities. That is’ for any set of n cities, we can find a path which visits

all the cities exactly once.

Let’s prove the statement for n + 1 cities. Leave out n + 1 th city (say,

\(c_{n}+1\)) and for the remaining n cities, by induction hypothesis, we can find a path which visits all these n cities exactly once. Let us label the cities such that this path is \(C_{1}\) → \(C_{2}\) → \(C_{3}\) . . . → \(C_{n}\). Now, if all roads are going towards \(c_{n}+1\), then add  \(c_{n}+1\) at the end of this path. Otherwise, let \(C_{i}\) be the first city in this path such that there is a road from  \(C_{i}\)-1 to  \(c_{n}+1\) and from  \(c_{n}+1\) to  \(C_{i}\). Place  \(c_{n}+1\) between  \(C_{i}\)−1 and  \(C_{i}\) to get the desired path.

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Answer:

10560Feet

Step-by-step explanation:

Answer: 10560 ft

Step-by-step explanation: 2 mi conversion. a mile is a unit of distance equal to 5,280 feet or exactly 1.609344 kilometers. it is commonly used to measure the distance between places in the United States and kingdom. so you convert 2 mi to ft.

a. The employee will need to save $964,000 for retirement to have enough to live off 80% of their current annual gross wage and withdraw 4% the first year.

b. The account balance after 40 years would be approximately $1,173,919.74.

c. The difference between the employee's goal and the actual retirement account balance is -$209,919.74. The employee will not meet their retirement goal with the current contribution amount and interest rate.

a. Target Annual Income = 80% of Current Annual Gross Wage

= 80% of $48,200

= $48,200 * 0.8

= $38,560

Total Retirement Savings = Target Annual Income / Withdrawal Rate

= $38,560 / 0.04

= $964,000

Therefore, the employee will need to save $964,000 for retirement to have enough to live off 80% of their current annual gross wage and withdraw 4% the first year.

b. Account Balance = Monthly Contribution * (((1 + Monthly Interest Rate)^(Number of Months) - 1) / Monthly Interest Rate)

Convert the annual interest rate to a monthly interest rate:

Monthly Interest Rate = (1 + Annual Interest Rate)^(1/12) - 1

= (1 + 0.055)^(1/12) - 1

= 0.004433

Number of Months = Number of Years * 12

= 40 * 12

= 480

Calculate the account balance:

Account Balance = $400 * (((1 + 0.004433)^480 - 1) / 0.004433)

Using a calculator, the account balance after 40 years would be approximately $1,173,919.74 (rounded to the nearest cent).

c. The difference between the employee's retirement goal and the actual retirement account balance can be calculated by subtracting the account balance from the target amount:

Difference = Target Retirement Savings - Account Balance

= $964,000 - $1,173,919.74

= -$209,919.74

The result is negative, indicating that the actual retirement account balance falls short of the employee's goal by approximately $209,919.74.

Based on these calculations, the employee will not meet their retirement goal with the current contribution amount and interest rate.

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Answer: 36 5/9

Step-by-step explanation:

Answer:

407/125

Step-by-step explanation:

3.256=3256/1000

814/500

407/125

Answer:

x = -11

Step-by-step explanation:

-2(x+3)+5x = -39

distribute the -2 to what's inside the paranthesis

-2x -6 +5x = -39

combine like terms

3x - 6 = -39

add 6 to each side

3x = -33

divide each side by 3

x = -11

We can choose f(x) = 1 if x is rational and f(x) = -1 if x is irrational, g(x) = x if x is rational and g(x) = -x if x is irrational, and their product ∆(x) = f(x)g(x) = x².

To find functions f and g that satisfy the given conditions, we need to consider the behavior of the limits as x approaches 0.

For the first condition, we want the limit of ∆(x) = f(x) as x approaches 0 to not exist. One example of such a function is f(x) = 1 if x is rational and f(x) = -1 if x is irrational. Since the rational and irrational numbers are dense in the real numbers, the limit as x approaches 0 does not exist for this function.

For the second condition, we want the limit of ????(x) = g(x) as x approaches 0 to not exist. One example of such a function is g(x) = x if x is rational and g(x) = -x if x is irrational. Again, the limit as x approaches 0 does not exist for this function.

Now, for the third condition, we want the limit of ∆(x)∆(x) = f(x)g(x) as x approaches 0 to exist. To satisfy this, we can choose any two functions that are compatible, meaning their product is well-behaved. For example, we can choose f(x) = g(x) = x. The product of x and x is x^2, which is continuous and well-defined at x = 0. Thus, the limit as x approaches 0 of f(x)g(x) exists.

In conclusion, we can choose f(x) = 1 if x is rational and f(x) = -1 if x is irrational, g(x) = x if x is rational and g(x) = -x if x is irrational, and their product ∆(x) = f(x)g(x) = x².

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