Select the correct statement in the table.
Given that r and s are both irrational numbers, determine which statement is true.


The values of r + s and r · s are sometimes irrational.
The value of r + s is sometimes irrational, and the value of r · s is never irrational.
The values of r + s and r · s are never irrational.
The value of r + s is always irrational, and the value of r · s is sometimes irrational.
The value of r + s is always irrational, and the value of r · s is never irrational.
The values of r + s and r · s are always irrational.
The value of r + s is never irrational, and the value of r · s is always irrational.
The value of r + s is sometimes irrational, and the value of r · s is always irrational.

The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values

Given:

Starting position of the bird = ( 10 , 0 )

Final position of the bird = ( 42 , 0 )

Maximum Height of the bird = 20 yards

To find: Equation that represent this condition.

Clearly, Birds flight path is not a straight line. It has a curved path.

So, the path bird follow is a PARABOLA.

Standard Equation of the parabola in vertex form, y = a( x - h )² + k

where ( h , k ) is the vertex of the parabola.

In our Question , vertex is the point at the highest position.

Vertex will be 20 yard above the mid point of the starting and final position.

Using Mid-Point Formula,

Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =

Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )

⇒ Equation, y = a( x - 26 )² + 20

Now, we find value of by substituting value of (10 , 0) in the equation,

⇒ 0 = a( 10 - 26 )² + 20

a( -16 )² = -20

a(256) = -20

a = -20/256

a = −0.078125

a ≈ -0.1

Therefore, The Equation is y = -0.1( x - 26 )² + 20

To know more about Equations follow

https://brainly.com/question/2972832

#SPJ1

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

⇒ Comedy: 5

    Drama: 7

    Action: 3

    Horror: 1

⇒ Comedy: 2

    Drama: 11

    Action: 4

    Horror: 5

A. horror is the most popular genre

Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre

B. Drama is the most popular genre

Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.

C. People like comedies because they like to laugh

Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.

D. People don't like horror movies because they don't like to be scared

As for option C, the chart does not prove that is the case!

The statement is true because the arcsin function is defined to be the inverse of the sin function.

For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:

f(g(x)) = x

g(f(x)) = x

Now, particularly for the sin function, arcsin is defined as the inverse function.

Then by definition, arcsin must meet the conditions:

So the answer is true for the definition of the arcsin function.

If you want to learn more about the sin function:

https://brainly.com/question/8120556

#SPJ1

Answer: 114.8

Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser

First one is B second one is B last one is C

Answer:

Therefore, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.

Step-by-step explanation:

In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.

Then,

P (µ - σ < X < µ + σ) = 0.68

P (µ - 2σ < X < µ + 2σ) = 0.95

P (µ - 3σ < X < µ + 3σ) = 0.997

he random variable X can be defined as the  amount of time a certain brand of light bulb lasts.

The random variable X is normally distributed with parameters µ = 1300 hours and σ = 90 hours.

Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:

Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.

Answer:

the answer is for this particular problem is F

Answer:

p=13.5

Step-by-step explanation:

know: complementary angles add to 90

(2p+9) +4p =90

6p +9 =90

6p= 81

p= 81/6 = 13.5

Answer: 600

Step-by-step explanation: i took test and got it right

Answer: 600

Step-by-step explanation:

Answer:

l=6, w=3

And A is the multiplication of l and w

A=6×3

The loin's speed in miles per hour will be 53.31 miles per hour.

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

To know more about Velocity follow

https://brainly.com/question/25749514

#SPJ1

The perfect square form the given numbers is 25.

Perfect squares are defined as the number which is the result of the multiplication of another number, likely integers, to itself two times.

For example, 4 = 2 × 2

So 4 is a perfect square of 2.

Here the given numbers are,

20, 21, 24, 25.

We need the perfect squares as the squares of integers.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

So 25 is a perfect square.

20, 21 and 24 cannot be written as the square of an integer.

Hence the correct number is 25.

Learn more about Perfect Squares here :

https://brainly.com/question/13521012

#SPJ7

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{\sqrt{m+1} - 3)=\frac{21}{7}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=3}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{\sqrt{m+1} =6}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Get the power of 2 in both sides.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{( \sqrt{m + 1})^2 = 6^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{m+1=36}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{m=35}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

So the answer is m = 35

Answer:

A. 20%  B. 35%

Step-by-step explanation:

a. (48,000 divided by 240,000) x 100 = 20

B. (84,000 divided by 240,000) x 100 = 35

Answer:

1. 9 * 10^15 meters per years

2. 3*10^8 meters per second

Step-by-step explanation:

Light travels is given 9,... m per year.

They ask how many meter light trravels per years.

They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.

Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.

Converting meters per year to meter per seconds

[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]

The answer should be 2.8*10^8 or 3*10^8 meters per second

The value of theta where we do not have a vertical asymptote is θ = 0.

The vertical asymptotes happen when the denominator becomes equal to zero.

For our case, we have:

tan(θ) = sin(θ)/cos(θ).

So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.

Then the correct option is B.

If you want to learn more about asymptotes.

https://brainly.com/question/1851758

#SPJ1

Answer:

- 8.14 = m = slope

Step-by-step explanation:

We know from the diagram that  8x-7  + 5x+18  = 180    so x = 13

  so 8x -7  =  97

slope = tan 97 = -8.14

Answer:$37.00

Step-by-step explanation: hope it helps

Answer:

13(1+2)

Step-by-step explanation:

13(1)+13(2)=13+26

The GCF of 13, 26 is 13.

The total cost of the car after the $1,200 destination fee is B. $52,500.

To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.

Given:

Base price of the car = $50,000

Premium interior = $1,400

Navigation touch-screen = $1,700

Smart traffic sensors = $2,200

Total price before the trade-in

= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.

The trade-in rate = 80% of the trade-in value, which is $5,000.

So, the trade-in value = 80% * $5,000 = $4,000.

Subtract the trade-in value from the total price:

$55,300 - $4,000 = $51,300.

Finally, add the destination fee of $1,200 to the destination fee:

Total cost of the car = $51,300 + $1,200

= $52,500.

Therefore, the total cost of the car after the $1,200 destination fee is $52,500.

Learn more about total cost at brainly.com/question/28566518

#SPJ1

Answer:

if you simplefy it, it would be 7 1/5

Step-by-step explanation:

see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and  1/5

Answer:Mackenzie

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mackenzie

The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The length of the half chord is given as 21.

The length of the perpendicular drawn from the center to the chord is 20.

By Pythagoras' Theorem

[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]

The radius of the circle would be 29 units.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ1

If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.

If they meet in 4 hours.

Then the speed of each bus will be

Let x be the speed of the one bus.

Then the speed of second bus will be

Speed = x - 11

Then the relative speed will be

Speed = 2x - 11

Then we have

2x - 11 = 948 / 4

2x - 11 = 237

    2x = 248

      x = 124

Then the speed of each bus will be 124 km per hour and 113 km per hour.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ1

If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The point (2,5) is represented on the graph.

Then the equation of the line passing through (2, 5) and the origin will be given as

y - 0 = [(5 - 0) / (2 - 0)] (x - 0)

    y = 5/2 x

 2y = 5x

If the point (30, 75) satisfies the equation, then the point will lie on the line.

2 × 75 = 5 × 30

   150 = 150

The graph is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]

None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with

x° = 25°

25° is the answer

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer: 34x15

Step-by-step explanation:

A rectangle

Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]

Solve for X

Side 1:

[tex]((2(3x-1))*2)[/tex]

[tex]((6x-2)*2)[/tex]

[tex](12x-4)[/tex] simplified

Side 2:

[tex]((2x+3)*2)[/tex]

[tex](4x+6)[/tex] simplified

Solve:

[tex](12x-4) + (4x+6) = 98[/tex]

[tex]16x+2=98[/tex]

[tex]16x=96[/tex]

[tex]\frac{16x}{16} = \frac{96}{16}[/tex]

[tex]x = 6[/tex]

Substitute x

[tex]2(3(6)-1) = 34[/tex]

[tex](2(6)+3) = 15[/tex]

The dimensions of this rectangle are 34x15.