find the missing angle
50 points

Janet can simplify and solve the resulting equation to find the Value(s) of y.(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

To solve the equation y + y^2 - 5 / (y^2 - 1) = y^2 + y + 2 / (y + 1), Janet needs to get rid of the denominators in order to simplify the equation and solve for y. One way to do this is by multiplying both sides of the equation by the common denominator of all the fractions involved.

In this case, the common denominator is (y^2 - 1)(y + 1). So, Janet should multiply both sides of the equation by (y^2 - 1)(y + 1) to eliminate the denominators.

Multiplying both sides by (y^2 - 1)(y + 1) yields:

(y^2 - 1)(y + 1) * (y + y^2 - 5) / (y^2 - 1) = (y^2 - 1)(y + 1) * (y^2 + y + 2) / (y + 1)

By multiplying, we cancel out the denominators:

(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

Now, Janet can simplify and solve the resulting equation to find the value(s) of y.

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Given :

Admission price , A = $15 .

Price of each ride , p = $3 .

Number of rides , r = 3 .

To Find :

Total money spend if he goes on 5 rides and for r number of rides .

Solution :

Let , total amount paid is P .

First we find the general equation :

\(Total \ amount = Admission\ Fee - r\times ( Fee\ per\ ride )\)

\(P=15+3r\)

Now , for r = 5 , total price is :

\(P=15+3\times 5\\\\P=15+15=\$30\)

Hence , this is the required solution .

Answer:

v=d/delta t

d=v×delta t

=266 000km/h×168h

=44,688,000.km

Answer:

The answer should be A. I think. Hope it helps

Step-by-step explanation:

Answer:

The unknown number is 13 less than 47.

13+15= 28

so that means 47-13 has to happen

The angle ∠Y so that ∠Y ≅ ∠Z is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Construct ∠Y so that ∠Y ≅ ∠Z.

There are several ways to do this, some of them are:

The above statements are true because the base angles of an isosceles triangle are congruent and all angles in a rectangle/square are congruent

See attachment

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Answer:

55 miles per hour

Step-by-step explanation:

.......ur welcome.......

330÷6=55

we divide the amount of miles by the time it took the bust to travel

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel  approximately 55 miles per hour.

To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.

Given:

Total distance traveled = 330 miles

Time taken = 6 hours

To find the miles per hour, we divide the total distance traveled by the time taken:

Miles per hour = Total distance traveled / Time taken

Miles per hour = 330 miles / 6 hours

Miles per hour ≈ 55 miles per hour

Therefore, the bus traveled approximately 55 miles per hour.

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Full Question

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?

(No graph Needed)

The confidence level can be determined by using the critical value and the properties of the normal distribution.

The critical value corresponds to a certain area under the normal distribution curve. The confidence level represents the complement of that area. In this case, since the critical value is given as 1.84, we can look up the corresponding area in a standard normal distribution table or use a statistical software. The confidence level is the complement of that area. Therefore, the confidence level is 100% - (area)%. To determine the specific value, we need to look up the area associated with the critical value 1.84, which is not provided.

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Answer:

in this diagram their are boxes.

on which 21 are shaded so the fraction is

Step-by-step explanation:

21/100

because their are total 100 boxes and 21 are shaded

hope you like the answer.

Answer:

$21

Step-by-step explanation:

We need to find out 1/3 of 63.

63*1/3=21

So 63-21=$42

Lakesha spent $21 on vegtables (and has $42 left.)

In the recent art project, the teacher purchased 94 pieces of red construction paper and 80 pieces of blue construction paper. To determine the exact ratio of red construction paper to blue construction paper, we divide the number of red construction paper pieces by the number of blue construction paper pieces.

The ratio of red construction paper to blue construction paper can be expressed as:94:80

However, we can simplify this ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 94 and 80 is 2.

Dividing 94 by 2 gives us 47, and dividing 80 by 2 gives us 40.

Therefore, the exact simplified ratio of red construction paper to blue construction paper is: 47:40

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Answer:

c < 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)when m = 6 => \(\frac{4m}{12}=\frac{4.6}{12} =\frac{24}{12}=2\)

2)  to make \(\frac{x}{-3} =\frac{10}{-15}\) true

=> \(x = \frac{10.(-3)}{-15}=\frac{-30}{-15}=2\)

The solution of the system of equations is the point (2, 1), so the correct option is B.

Here we want to solve the system of equations graphically. To do so, we need to graph both equations on the same coordinate axis. The solutions are given by the points where the graphs intercept.

Here the system of equations is:

y = x - 1

y = -2x + 5

The graph of the system can be seen in the image below, there we can see that the lines intercept at the point (2, 1), so that is the solution.

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Answer:

dyvhbCNN mfg beneficialgVCR specializations acknowledgement

The values that are used in the box plot are:

A - Median

D - Q1

E - Minimum

F - Q3

G - Maximum

The stated question is related to the topic Statistics from maths.

The box plot is a five number set of data . The numbers are as stated above median , Q1 , minimum , Q3 and maximum .

The plotting of box plot is done as follows :

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Complete question

The scores on an exam have mean = 110, standard deviation = 15, minimum = 69 , Q1 =87, median = 94 , Q3 = 117, and maximum = 128.

State which of these values are used in a box plot ? Select all that apply

A. median

B. mean

C. standard deviation

D. Q1

E. minimum

F. Q3

G. maximum

Answer: 83

Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.

Hope this helps! :)

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Let's consider a manufacturing company that is looking to improve the efficiency of their assembly line. The company wants to conduct an experiment to evaluate the impact of two independent variables on the production output. The variables are the type of equipment used and the level of employee training.

Experiment Design: The company decides to employ a 2x2 full factorial design for their experiment. They create four different conditions by manipulating the two independent variables:

Condition A: Standard equipment, untrained employees.

Condition B: Standard equipment, trained employees.

Condition C: Upgraded equipment, untrained employees.

Condition D: Upgraded equipment, trained employees.

The company randomly assigns a group of employees to each condition and measures the production output (e.g., number of units produced per hour) for a set period of time.

Using the 2x2 full factorial design, the company can systematically assess the effects of equipment type and employee training on the production output.

By comparing the results across the four conditions, they can determine the main effects of each independent variable as well as any interaction effects between the variables.

The experiment will provide valuable insights into the optimal combination of equipment type and employee training for maximizing production efficiency.

The company can use the findings to make data-driven decisions on equipment upgrades and training programs, leading to improved productivity and cost-effectiveness in their assembly line operations.

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Answer:

they would make a staright line or straight angle, which would be 180 degrees.

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Step-by-step explanation:

The distribution we would use to look up the p-value is option (c) t(15).

Since the population standard deviation is unknown and the sample size is less than 30, we should use a t-distribution to look up the p-value.

The test statistic can be calculated as

t = (sample mean - hypothesized population mean) / (sample standard deviation / √(sample size))

Substitute the values in the equation

t = (1988 - 2000) / (32 / √(16))

Do the arithmetic operation

t = -3

The degrees of freedom for the t-distribution would be (sample size - 1), which is 15 in this case.

Therefore, the correct option is (c) t(15).

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these rats look so delicate and peaceful

Step-by-step explanation:

just like you could float in the air and dance with rats amazing.

If One US dollar equic 0.84 euros. Margo is traveling and wants exchange $400 for euros Margo will receive 336 euros in exchange for $400.

To find out how many euros Margo will receive in exchange for $400, we can multiply the amount in dollars by the exchange rate from dollars to euros.

Given that 1 US dollar is equivalent to 0.84 euros, we can set up the following equation:

Euros = Exchange rate * Dollars

Euros = 0.84 * $400

Calculating the right side of the equation:

Euros = 0.84 * 400

Euros = 336

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We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

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Answer:

X \(\geq\) 5 =  [5,∞)

This is the number line:

Answer:

the average rate of change is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

2. Solving

Input the given points into the formula and solve.

\(\frac{(-1)-(-5)}{(4)-(3)}\)

\(\frac{-1+5}{1}\)

\(\frac{4}{1}\)

4

Answer:

Step-by-step explanation:

(-5 , 2) here -5 is x coordinate and 2 is y coordinate since x coordinate is negative and y coordinate is positive it lies in II quadrant.

(2 , -5) here 2 is x coordinate whereas -5 is y coordinate and siince x coordiante is positive and y coordinate is negative it lies in IV quadrant.

(x^3 - 2)(x^2 + 11)

to find the degree of polynomial first u need to factor this out

x^3(x^2 + 11) -2(x^2 + 11)

x^3 * x^2 + x^3 * 11 - 2 * x^2 - 2 * 11

x^3+2 + 11x^3 - 2x^2 - 22

x^5 + 11x^3 - 2x^2 - 22

since the highest degree is 5 the degree of the polynomial is also 5.

Step-by-step explanation:

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By the Centroid Theorem, we can conclude that the length of a segment of the median from a vertex to a centroid is equal to the two-thirds of the length of the median from that vertex.

What is Centroid Theorem?

The point that may be used to represent the centre of a one- or two-dimensional figure, with all points' distances from this point adding up to zero. centre of mass is comparable. also known as the median point Geometry. the location where a triangle's medians meet.

The common endpoint of two or more rays or line segments Vertex typically means a corner or a point where lines meet.

Here given that,

The length of a segment from a vertex to the centroid is the length of the median from that vertex.

So, the length of a segment from a vertex to the centroid is  which is the median of that vertex.

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Answer:

2nd answer

Step-by-step explanation:

If you look at the translation, each letter goes to the right one on the X axis, and up for on the Y- axis. Therefore, using arrow notation, the answer would be (X,Y) -> (X + 1, y + 4)

The translation from the purple trapezoid to the orange trapezoid is up 4 units and to the right 1 unit.

Translating what I said into mathematical language is the second choice

Good day and I hoped that helped!

To determine the fraction of their journey that they drove, we need more information about the specific distances covered by each mode of transportation.

In order to calculate the fraction of their journey that the Robinson family drove, we need to know the distances covered by each mode of transportation. Let's assume that the distances covered by air and train are given as fractions or percentages of the total journey.

For example, if they traveled by air for 1/4 of the journey and by train for 2/5 of the journey, we can calculate the fraction of the journey they drove by subtracting the sum of the fractions covered by air and train from 1. In this case, the fraction they drove would be 1 - (1/4 + 2/5) = 1 - (5/20 + 8/20) = 1 - (13/20) = 7/20.

However, without specific information about the distances covered by each mode of transportation, it is not possible to determine the exact fraction they drove. The fraction would depend on the actual distances covered and cannot be calculated without those details.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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