what is -1 + (4 + 9) = (-1 + 4) + 9 property?

Answer: b) (-1,-6)

use the slope equation y2-y1 divided by x2-x1

or just use a slope calculator like i did <3

anyways i hope this helps :)

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

|

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| x

|

|

|

-------------

|

|

|

|

|

|

|

|

|

B

|

|

|

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|

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|

A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The best estimate for the population parameters is Option A: "a mean of 4.9 letters and a standard deviation of 1.5 letters", because these values match the estimates for the sampling distribution. 

The mean and standard deviation of the sampling distribution give us an idea of the spread and central tendency of the data. In this case the mean was 4.9 letters and the standard deviation was 0.15 letters. This suggests that the mean word length for the textbook is 4.9 letters & that the values are tightly clustered around this central value.

Therefore it is more likely that the population parameters would be similar to these estimates.

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There are 773 students in the school who are not members of either the gymnastics team or the chess team.

To determine the number of students in the school who are not members of either the gymnastic team or the chess team, we need to subtract the total number of students who are on either or both teams from the total number of students in the school.

Given that there are 800 students in total, 20 students on the gymnastic team, and 10 students on the chess team (including 3 students who are on both teams), we can calculate the number of students who are members of either team by adding the number of students on the gymnastic team and the number of students on the chess team and then subtracting the number of students who are on both teams.

Total students on either team = 20 + 10 - 3 = 27

To find the number of students who are not members of either team, we subtract the total students on either team from the total number of students in the school:

Number of students not on either team = 800 - 27 = 773

Therefore, there are 773 students in the school who are not members of either the gymnastic team or the chess team.

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Answer:

In trigonometry, the value of tan 0 is 0. The word 'Trigonometry' is derived from the Greek word and the subject is developed to solve geometric problems involving triangles. It is used to measure the sides of a triangle.

Answer:

→ 0 (zero)

Step-by-step explanation:

The value of tan 0 is 0.

All of the above statements support the data.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

By classifying the 300 students according to physical fitness and academic achievement levels, it is possible to determine which students have higher levels of physical fitness and which have higher levels of academic achievement. The data shows that more than half of the students with high levels of physical fitness have medium levels of academic achievement, more than half of the students with medium levels of physical fitness have high levels of academic achievement, more than half of the students with high levels of academic achievement have medium levels of physical fitness, and more than half of the students with medium levels of academic achievement have high levels of physical fitness. All of these statements support the data.

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The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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The sample means are Mean(Y) = 61.4 and Mean(X) = 15, the sample variances are Variance(Y) ≈ 1124.89 and Variance(X) ≈ 2.67, the sample standard deviations are Standard deviation(Y) ≈ 33.56 and Standard deviation(X) ≈ 1.63, the sample covariance is Covariance(X, Y) ≈ -131.69, and the sample correlation is Correlation(X, Y) ≈ -0.77.

a. To find the sample means, variances, and standard deviation, we can use the following formulas:

Sample mean of income (Y):

Mean(Y) = (100 + 65 + 47 + 112 + 34 + 85 + 92 + 83 + 67 + 29) / 10 = 614 / 10 = 61.4

Sample mean of education (X):

Mean(X) = (18 + 14 + 14 + 16 + 12 + 16 + 18 + 14 + 16 + 12) / 10 = 150 / 10 = 15

Sample variance of income (Y):

Variance(Y) = [(100 - 61.4)^2 + (65 - 61.4)^2 + (47 - 61.4)^2 + (112 - 61.4)^2 + (34 - 61.4)^2 + (85 - 61.4)^2 + (92 - 61.4)^2 + (83 - 61.4)^2 + (67 - 61.4)^2 + (29 - 61.4)^2] / 9 ≈ 1124.89

Sample variance of education (X):

Variance(X) = [(18 - 15)^2 + (14 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2 + (16 - 15)^2 + (18 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2] / 9 ≈ 2.67

Sample standard deviation of income (Y):

Standard deviation(Y) = √Variance(Y) ≈ √1124.89 ≈ 33.56

Sample standard deviation of education (X):

Standard deviation(X) = √Variance(X) ≈ √2.67 ≈ 1.63

b. To find the sample covariance and correlation, we can use the following formulas:

Sample covariance:

Covariance(X, Y) = [(18 - 15)(100 - 61.4) + (14 - 15)(65 - 61.4) + (14 - 15)(47 - 61.4) + (16 - 15)(112 - 61.4) + (12 - 15)(34 - 61.4) + (16 - 15)(85 - 61.4) + (18 - 15)(92 - 61.4) + (14 - 15)(83 - 61.4) + (16 - 15)(67 - 61.4) + (12 - 15)(29 - 61.4)] / 9 ≈ -131.69

Sample correlation:

Correlation(X, Y) = Covariance(X, Y) / (Standard deviation(X) * Standard deviation(Y)) ≈ -131.69 / (1.63 * 33.56) ≈ -0.77

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Correct question-

Consider the following random sample of income and education: Income(Y) Education(X) 100 18 65 14 47 14 112 16 34 12 85 16 92 18 83 14 67 16 29 12 a. Find sample means, variances and standard deviation. b. Find sample covariance and correlation.

Answer:

6 Classes

Step-by-step explanation:

500 Students =25 Class

1 class= 500/25

=20

120 students = 120/20

=6

Hope it helps you

Answer:

6

Step-by-step explanation: i think its right

Answer:

16.34 yards of rope

Step-by-step explanation:

you need to do 4.67 x 2 and add 3.5 x 2 to get the total perimeter

Answer:

Step-by-step explanation:

\(\frac{7}{2} + \frac{14}{3} +\frac{7}{2} + \frac{14}{3}\)

\(\frac{21}{6} + \frac{28}{6} +\frac{21}{6} + \frac{28}{6}\)

\(\frac{98}{6}\) = \(\frac{49}{3}\) = 16 \(\frac{1}{3}\)

Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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Answer:

20 years old

Step-by-step explanation:

The age of Eli would be 20 years old

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Consider E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  

Eli is now one quarter of his father’s age.

But in 5 years, that will be:

(E+5) = (1/3)(F+5)      

In 5 years’ time his age will be one third of his father’s age.

We have two equations and two unknowns.  

To Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

This seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

In five years, F is 45 and E is 15, that would make Eli  1/3 of his father's age in 5 years.

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Answer:

The total value of the discount was $10.80.

Step-by-step explanation:

Since we are finding the value of the discount, we just need to find 18% of 60.

We can convert 18% into a decimal.

18%=0.18

Multiply.

0.18*60=10.8

The total value of the discount was $10.80.

I think that Jefferson's letter is angrier.

I think this because you can kind of tell from the first sentences of both letters, Hamilton is kinder when he says, "Sir: --I have the pleasure of your private letter on the 26th of August."

However, Jefferson says something not really rude, but not as respectful than Hamilton to the President. He says, "DEAR SIR, I received your letter of August 23rd."

The two letters in question here is the letters written by both Alexander Hamilton and Thomas Jefferson to the President about the war between France and Britain.

Because he supported America throughout the Revolutionary War, Jefferson supported France. Hamilton supported the British because he believed it would facilitate trade.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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The closest option to the calculated net present value is d. $(15,542).

To calculate the net present value (NPV) of the project, we need to discount the annual cash flows to their present value and subtract the initial investment.

Using the formula for the present value of a cash flow:

PV = CF / (1 + r)^n

Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

For the given data:

Initial investment = $380,000

Annual cash flow = $133,000 per year

Expected life of the project = 4 years

Discount rate = 13%

Calculating the present value of the annual cash flows:

PV = $133,000 / (1 + 0.13)^1 + $133,000 / (1 + 0.13)^2 + $133,000 / (1 + 0.13)^3 + $133,000 / (1 + 0.13)^4

PV ≈ $133,000 / 1.13 + $133,000 / 1.28 + $133,000 / 1.45 + $133,000 / 1.64

PV ≈ $117,699 + $104,687 + $91,724 + $81,098

PV ≈ $395,208

Finally, calculating the net present value:

NPV = PV - Initial investment

NPV ≈ $395,208 - $380,000

NPV ≈ $15,208

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Answer:

No

Step-by-step explanation:

One is smaller and one is bigger !

Answer:

\(\left \{ {{y=10} \atop {x=5}} \right.\)  \(\left \{ {{y=11} \atop {x=4}} \right.\) \(\left \{ {{y=12} \atop {x=3} \right.\) \(\left \{ {{y=14} \atop {x=1}} \right.\)

x-restaurant gift cards ;

y-movie theater gift cards

Step-by-step explanation:

x+y=15

50x+20y≤450

\(\left \{ {{x\leq 5} \atop {y\geq 10}} \right.\)

so,\(\left \{ {{y=10} \atop {x=5}} \right.\)  \(\left \{ {{y=11} \atop {x=4}} \right.\) \(\left \{ {{y=12} \atop {x=3} \right.\) \(\left \{ {{y=14} \atop {x=1}} \right.\)

Mr. Thomsen can by 5 restaurant cards and 10 movie theater gift cards

System of equations

When there are multiple unknowns and providing necessary information to set up solutions in those unknowns, systems of equations are being used to solve applications.

How to determine the each type of gift card Mr. Thomsen buy?

Consider \(x\) as the number of restaurant gift cards.

Let's take \(y\) as the numbers of movie theaters gift card.

The cost of each restaurant gift cards is 50$

The cost of each movie theater gift cards is 20$

He has 450$ to spend on 15 gift cards.

Therefore, the system of equation to find the each type of gift card will be:

\(50x+20y=450\)

How to find the value of \(x\) :

Here, we know that : \(x+y=15\)

So, the value of \(x\) will be:

\(x=15-y\)

\(50(15-y)+20y=450\)    

Expand the equation

\(750-50y+20y=450\)

Add similar elements

\(-50y+20y=-30y\)

Therefore, the equation will be:

\(750-30y=450\)

Then subtract 750 from both sides as follow:

\(750-30y =450-750\)

\(-30y=-300\)

Simplify the equation:

\(-30y=-300\)

Divide the both sides by \(-30\)

\(\frac{-30y}{-30} =\frac{-300}{-30}\)

Simplify:

\(y=10\)

Therefore the value of \(x\) will be:

\(x=15-10\)

\(x=5\)

Therefore, Mr. Thomsen can by 5 restaurant cards and 10 movie theater gift cards.

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Explanation

Let the length of the edge be L. Since a cube has 12 edges and the sum of the edges of a cube is 24 inches. We can have the equation below.

Answer: 2 inches

Answer:

Step-by-step explanation:

5

c

Step-by-step explanation:

because i jist did the q

Answer:

\( \frac{13}{ - 5} \)

Step-by-step explanation:

\( \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} \)

Answer:

-2.6

Step-by-step explanation:

Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.

It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.

Given:

Coordinates (- 3, 7) (2, - 6)

y1 = 7, y2= -6, x1= -3, x2=2

Slope : ∆ y/ ∆ x

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

= (-6 - (7))/ (2 - (-3))

= (-13)/(5) = -13:5= -2.6

The given information is:

- The area of the sector of the circle is 31.2 cm^2.

- The exterior of the sector angle is 256°.

The area of the sector is given by the formula:

Where theta is the sector angle and r is the radius of the circle.

The whole circle measures 360°, so the sector angle can be found as follows:

Now, replace theta and the area value in the formula to solve for r:

The radius of the circle is 5.9 cm.

Answer:

1 . Closure

2. Distributive

3. Closure

Step-by-step explanation:

Here, we want to know the type of property exhibited or displayed by each of the equations in the question.

Equation 1 displays the closure property.

What this means that if we make an addition operation either way, we would get same answer. So we say that addition is closed for that equation.

Equation 3 exhibits closure property as well. If we go either way on the addition operation for that equation, we are bound to get the same answer.

Equation 2 exhibits the distributive property.

Each term in the bracket is multiplied by the subtraction symbol before we proceeded to complete the arithmetic operations

Answer:

1. Commutative property

2.Closure property

3.Commutative property

Step-by-step explanation: I just did it.

The statement that describes parallelism is option C: a surface of revolution having all points equidistant from a common axis. Parallelism refers to the condition in which lines or surfaces are equidistant and never meet.

In the case of surfaces of revolution, all points on the surface are equidistant from a common axis, which makes them parallel to each other. This means that any two points on the surface of the revolution will have the same distance from the axis. Parallelism is an important concept in geometry, engineering, and architecture as it allows for the construction of structures and machines that require precise and uniform spacing. Equidistance is also a key aspect of parallelism as it ensures that all points on the surface maintain the same distance from the axis, thereby preserving the parallel condition.

In summary, option C, "a surface of revolution having all points equidistant from a common axis," is the statement that describes parallelism.

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When two or more points are on a straight path, then they are collinear. So that in the given question, the value of x is 7.

Two or more points are said to be collinear if and only if they fall on a straight line. Thus, the points can be joined by a single straight line.

From the given question, it can be observed that;

XZ = XY + YZ

But given the following:

XY = 5x, YZ = 2x + 7, and XZ = 56

Then,

56 = 5x + (2x + 7)

     = 5x + 2x + 7

56 = 7x + 7

collect like terms to have

56 - 7 = 7x

49 = 7x

x = \(\frac{49}{7}\)

  = 7

x = 7

Therefore, the value of x is 7.

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Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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The function un(x,t) = e^(-αn^2t/l^2) sin(nx/l) is a solution of the heat equation for any positive integer n.

To verify that the function un(x,t) satisfies the heat equation, we need to show that it satisfies the partial differential equation and the initial condition.

The heat equation is given by ∂u/∂t = α (∂^2u/∂x^2), where u(x,t) is the temperature distribution, α is the thermal diffusivity, and ∂ and ∂^2 represent partial derivatives. Let's evaluate the function un(x,t) to check if it satisfies the heat equation.

Partial derivative with respect to t:

∂un/∂t = (∂/∂t) (e^(-αn^2t/l^2) sin(nx/l))

= -αn^2/l^2 e^(-αn^2t/l^2) sin(nx/l)

Second partial derivative with respect to x:

∂^2un/∂x^2 = (∂/∂x) (-αn^2/l^2 e^(-αn^2t/l^2) sin(nx/l))

= -n^2/l^2 e^(-αn^2t/l^2) cos(nx/l)

Now, let's substitute these derivatives into the heat equation:

∂un/∂t = α (∂^2un/∂x^2)

-αn^2/l^2 e^(-αn^2t/l^2) sin(nx/l) = α(-n^2/l^2 e^(-αn^2t/l^2) cos(nx/l))

The exponential terms cancel out, and we are left with:

-sin(nx/l) = -cos(nx/l)

Since the equation holds true for all x and t, we can conclude that un(x,t) = e^(-αn^2t/l^2) sin(nx/l) is indeed a solution of the heat equation.

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Answer: x=1 y=1

Step-by-step explanation:

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

 ......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1