An airplane make a 10° angle of elevation from the runway when it take off. The airplane hown i 2,000 feet along the ground from it take-off point

After solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.

An element of a whole is a fraction.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

So, calculate as follows:

1 * 1/4 = 1/4 ...(1)

1/4 * 2/3 = 2/12 ...(2)

2/12 * 1/10 = 2/120 ...(3)

Fraction left to pay:

1 - (1/4 + 2/12 + 2/120)

1 - (30+20+2/120)

1 - (52/120)

1 - 13/30

30-13/30

17/30

Therefore, after solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.

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The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

In the given question we have to explain what is range in relation and function.

The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

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The amount of the money paid by the Norm as a tax will be $4903.5.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Norm has an income of $32,690. He paid a total of 15% of his income in tax.

The amount of tax paid will be calculated as,

Amount = ( 32690 x 15 ) / 100

Amount = 32690 x 0.15

Amount = $4903.5

The Norm will pay $4903.5 in taxes.

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From the given combination, there are 280 ways to select a three-course meal.

What is the combination?

Combinations are ways of choosing things from a collection when the order of the choices does not matter. The number of selections is denoted by [tex]^{n} C_{r}[/tex] if you have to choose "r" items from "n" things.

Given, 7 appetizers, 10 entrees, and 4 desserts

To select a three-course meal, we will choose 1 item from each course.

i.e. 1 appetizer from 7 appetizers

AND

1 enter from 10 entrees

AND

1 dessert from 4 desserts

So, For appetizers, selections = [tex]^{7} C_{1}[/tex]

For entrees, selections = [tex]^{10} C_{1}[/tex]

For desserts, selections = [tex]^{4} C_{1}[/tex]

Total possibilities =  [tex]^{7} C_{1}[/tex] * [tex]^{10} C_{1}[/tex]* [tex]^{4} C_{1}[/tex] = 7*10*4 = 280

Hence, there are 280 ways to select a three-course meal.

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Answer: 1. 2, 4, 8, 16, 32, 64,  and 128,...... I don't know if I should keep going.

2. 5, 11, 17, 23, 29, 35, 41, and 47

Answer: 2.

Step-by-step explanation:

11+3=14

14+3=17

17+3=20

20+3=23

2. 5,11,17,23

Answer:

54 mi/hr

Step-by-step explanation:

[tex]\frac{226.8}{4.2}=54[/tex] mi/hr

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data is a true statement.

Therefore, it is true that extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that outside the x-range.

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The vertex in triangle ABC is at point A, B, and C.

Step by Step explanation :

Given triangle is represented by ΔABC

Therefore, the vertex of the given triangle ABC is given by point A, B , and C.

The complete question is:

Where is the vertex in  triangle ABC?

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The linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let Max make x cups of lemonade cup.

According to given conditions,

Cost of 1 cup of lemonade = $3.

Also, Max pay for renters fee = $35.

The cost of x cups of lemonade = 3x

The total cost c = 3x + 35

Since, Max sells lemonade for $5 per cup.

Let the selling price is represented by y,

Then selling price y = 5x

Hence, linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

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Area of rectangle is 2x⁶ + 16x⁵ + 30x⁴ when A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, plus, 8, x, plus, 15.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. When calculating a rectangle's area, we multiply the length by the width of the rectangle. The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given

Rectangle's height = 2x⁴

Rectangle's width = x² + 8x + 15

Area of rectangle

Height × Width

2x⁴ × x² + 8x + 15

2x⁶ + 16x⁵ + 30x⁴

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Part A: The system of equations  is

6x + 4y= 212

3x + 5y= 202

Part B: The solution of the system of equation is x= 14 and y= 32

Parte C: The solution means that the price of t-shirts and the price of swatshirts are $14 and $32 respectively.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

A solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

6x + 4y= 212

3x + 5y= 202

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "y" from the first equation:

4y= 212 - 6x

y= (212 - 6x)÷ 4

y= 212÷4 - 6÷4x

y= 53 - 3/2x

Substituting this expression in the second equation:

3x + 5×(53 - 3/2x)= 202

Solving:

3x + 5×53 - 5×3/2x= 202

3x + 265- 15/2x= 202

3x - 15/2x= 202 - 265

-9/2x=-63

x= (-63)÷ (-9/2)

x= 14

Remembering that y= 53 - 3/2x, you get:

y= 53 - 3/2×14

y= 32

The solution of the system of equation is x= 14 and y= 32. This means that the price of t-shirts is $14 and the price of swatshirts is $ 32.

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k'(4, -7)

L'(9, -7)

M'(6, -5)

N'(5, -5) are the new coordinates of the vertices.

Coordinates of a point:

A point's coordinates are a pair of numbers that pinpoint where it is precisely on a two-dimensional plane.

Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane.

A particular point's coordinates show how far along each axis it is situated.

The coordinate's sign is crucial. A positive number indicates moving upward or to the right (x) (y).

Negative numbers indicate turning left (x) or falling (y).

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{30,40,50} data set has the greatest sample standard deviation.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

The formula for Standard deviation is

σ=√∑(x-µ)²/n

µ is the mean.

For data set: {102,105, 108}

Mean=105

S.D=√∑(102-105)²+(105-105)²+(108-105)²/3

=√9+9/3=√18/3=√9×2/3=3√2/3=√2

For data set: {55,60,65}

Mean=60

S.D=√∑(55-60)²+(60-60)²+(65-60)²/3

=√25+25/3=5√2/3

For data set: {120,121,122}

Mean=121

S.D=√(120-121)²+(121-121)²+(122-121)²/3

=√1+1/3=√2/3

For data set: {30,40,50}

Mean=40

S.D=√(30-40)²+(40-40)²+(50-40)²/3

=√200/3

=10√2/3

Hence, {30,40,50} data set has the greatest sample standard deviation.

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10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

Given that,

The measurements are depicted in a segment of a circular design on the drawing.

We have to find what length is the circle's radius.

We know that,

Let us take the up line as AB and the perpendicular line is OP.

So,

In ΔOPB

∠P=90°

PB=5cm

OP is perpendicular to AB.

Sin30° = PB/OB

1/2=5/OB

OB=5×2

OB=10

Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

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Answer:

sure

Step-by-step explanation:

just ask

Answer:

Only if you get it done by 11:59 tomorrow

Step-by-step explanation:

Answer:

247.7 cm³

Step-by-step explanation:

V = πr²h

V = 3.14159 × (3.2 cm)² × 7.7 cm

V = 247.70808 cm³

Answer: 247.7 cm³

The probability that he at least misses one is equal to 61/125.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given in the question

basketball player makes 80% of his free throw attempts i.e.

P(Success) = 4/5 or 0.8

P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5

Number of sample (n) = 3

We need to calculate probability that he at least misses one i.e.

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)

Here we will use binomial probability distribution which can be calculated as

P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)

=  1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125

Hence, the probability that he at least misses one is equal to 61/125.

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184,219,440 ways.

What is contestant?

A participant in a contest or competition is known as a contestant. A contestant is someone who challenges election results.

There are 570 contestants, and any one of them can win the first prize.

One of the remaining 569 people can receive the second prize.

Third may be assigned to any of the remaining 568.

We can accomplish this in 570*569*568 ways

= 184,219,440 ways.

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The value of x in the expression, x³ = 3.4 is x = 1.50369.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.

Given:

x³ = 3.4

Calculate the value by taking the cube root of both sides as shown below,

x = ∛3.4

x = 1.50369

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The first statement is false and answer to second statement is no.

The mentioned information does not state that x and y are linearly related or not. If they are not related in linear way, the mean value of y would not be located at the mean of the x values.

Confidence intervals indicate the mean or population of the sample. For the confidence interval of sales of pizza stores, the similar data would be required for comparison using statistics tool. Hence, the relevant data should be sales of nearby pizza stores till now. Thus, the mentioned statement is irrelevant.

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The probability that Jeff wins exactly 1 prize is (3/4)³

According to the question,

A fast-food restaurant runs a promotion in which certain food items come with game pieces

Let the event of winning the game piece be A and x be the random variable for winning prize

So, Probability of Winning the game = P(A) = p = 1/4

Probability of not winning = q = 1 - 1/4

=> q = 3/4

Using Binomial distribution,

The Probability that he wins exactly 1 prize = P(x = 1)

=> P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

Here, n = 4 , x = 1

P(1) = ⁴C₁ p¹ q³

=> 4 × (1/4)( 3/4)³

=> (3/4)³ is probability that jeff wins exactly 1 prize

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The value of the expression will be;

⇒ 211 miles

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 68 miles + 10 fewer miles + 85 miles

Now,

Since, The expression is,

⇒ 68 miles + 10 fewer miles + 85 miles

Hence, We get;

⇒ 68 miles + 10 fewer miles + 85 miles

⇒ 68 + (68 - 10) + 85

⇒ 68 + 58 + 85

⇒ 211

Thus, The value of the expression = 211 miles

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The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

3, 5, 7, 9, 11, ...

The first term is 3. And the common difference is given as,

d = 5 - 3

d = 2

Then the position in the sequence for the given sequence will be given as,

aₙ = 3 + (n - 1) · 2

aₙ = 3 + 2n - 2

aₙ = 1 + 2n

The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.

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1. y = 2x + 3

2. y = x^2 + 5x - 3

3. y = -2x^2 + 7x – 4

are the 3 examples of equation with y intercept.

1. The first example is a linear equation, which has the form of y = mx + b, where m is the slope and b is the y-intercept.

2. The second example is a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.

3. The third example is also a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.

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The first thing he should do is to define the problem to be researched and determine his data needs.

scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.

Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.

The first thing he should do is to define the problem to be researched and determine his data needs.

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170/425=0.4

as a percent  = 40%

The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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Yousef will be type 54 words in a minute approximately.

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L x W x H

L=3

W=3

H=3

3x3x3=27