Only need help with 11.
Please show work

Only Need Help With 11. Please Show Work

Answers

Answer 1

Answer:

[tex]\large\boxed{_6P_2=30}[/tex]

Step-by-step explanation:

[tex]_nP_k=\dfrac{n!}{(n-k)!}\\\\n!=1\cdot2\cdot3\cdot...\cdot n\\======================\\\\_6P_2=\dfrac{6!}{(6-2)!}=\dfrac{6!}{4!}=\dfrac{4!\cdot5\cdot6}{4!}\\\\\text{cancel}\ 4!\\\\=5\cdot6=30[/tex]


Related Questions

How many milliliters are equal to 4 liters

Answers

Answer:

[tex]4,000 ml = 4 liters[/tex]

Hope this helps!

4000 hope this helps

How many of those 100 customers would likely want the store to stay open late.

Answers

Answer:

Step-by-step explanation:

find the percentage of the people who want the store open longer. of the 40 customers that were surveyed, 12 would want that. 12 divided by 40 is .30, so 30 percent of the customers want it open.

100 more customers are surveyed, so you take 30 percent of 100, which is 30. your answer is "B"

Garvey’s Electronics store is having a storewide sale. For a television set with a regular price of x dollars, a 15 percent discount is equal to $30. Which of the following equations could NOT be used to determine x?

0.15x = 30

0.85x = x – 30

0.15x = x – 30

x – 0.15x = x – 30

Answers

Answer:

0.15x=x-30

Step-by-step explanation:

Let

x-----> the regular price

we know that

15%=15/100=0.15

so

0.15x=30

x=30/0.15=$200

Verify each case

case a) 0.15x=30

x=30/0.15=$200

therefore

The equation could be used to determine x

case b) 0.85x=x-30

x-0.85x=30

0.15x=30

x=30/0.15=$200

therefore

The equation could be used to determine x

case c) 0.15x=x-30

x-0.15x=30

0.85x=30

x=30/0.85=$35.29

therefore

The equation could not be used to determine x

case d) x-0.15x=x-30

-0.15x=-30

0.15x=30

x=30/0.15=$200

therefore

The equation could be used to determine x

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle rob will be three times Tonyas age

Answers

Answer:

i believe Tonya will be at least 26 years old or 34 years old.

Step-by-step explanation:

17+17=34

Consider the two equations, y=5(x-2)^2-6 and (y+2)^2=9
How many solutions are there to this system? Without solving, give a convincing argument explain why there are that many solutions to the system.

Answers

Answer:

One solution. A system of linear equations has one solution when the graphs intersect at a point.

1\small{1}

1

2\small{2}

2

3\small{3}

3

-1\small{\llap{-}1}

-

1

1\small{1}

1

2\small{2}

2

3\small{3}

3

-1\small{\llap{-}1}

-

1

yy

y

xx

x

No solution. A system of linear equations has no solution when the graphs are parallel.

1\small{1}

1

2\small{2}

2

3\small{3}

3

-1\small{\llap{-}1}

-

1

1\small{1}

1

2\small{2}

2

3\small{3}

3

-1\small{\llap{-}1}

-

1

yy

y

xx

x

Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Which expressions are perfect cubes? –1,000,27r21,343p, g3h30 , 1

Answers

Answer:

Step-by-step explanation:

1000 = 10³ is a perfect cube.

27r^21 can be re-written as (3r^7)³ and is a perfect cube.

343p can be rewritten as (7)³·∛p.  (7)³ is a perfect cube, but ∛p is not.

g³h^30 can be rewritten as (g·h^10)³ and is a perfect cube.

1 is a perfect cube:  1³ = 1

Answer:

A, B, D, E

Step-by-step explanation:

A = 1,000

B = [tex]27r^{21}[/tex]

D= [tex]g^{3}h^{30}[/tex]

E = 1

(just took it on edge)

Find the value of x, rounded to the nearest tenth.

Answers

Answer:

x= 36.2

Step-by-step explanation:

Because that's a right triangle and the reference angle and adjacent side measures are given to us, we can use the trig ratio for cosine.  Cosine relates the side adjacent to (next to...NOT ever the hypotenuse!) the angle to the hypotenuse.  Therefore, our equation will look like this:

[tex]cos(28)=\frac{32}{x}[/tex]

Solving for x we have

[tex]x=\frac{32}{cos(28)}[/tex]

Perform that operation on your calculator in degree mode and you'll get that the length of the hypotenuse is 36.2.  If for some reason, your math gave you the length of the hypotenuse and it was shorter than one of the other sides, you did something wrong.  The hypotenuse will ALWAYS be the longest side in a right triangle.

what is the period of the parent cosine function, y = cos(x)

Answers

Answer:

Step-by-step explanation:

This is a little something you have to memorize, but you could derive it from the equation pb = 2π. In the parent function, the b value is 1, so the period, p, is equal to 2π/1 or just 2π.

What is the period of the parent cosine function, y = cos(x)?

360 degrees

What is the period of the cosine function shown in the graph?

1080 degrees

Which type of transformation of the parent function is shown by the graph?

horizontal stretch

An engineer measured the slopes of the four straight sections of a roller coaster track listed in the table below. The steepness of each slope is equal to the absolute value of the slope.

Answers

I believe it is section 3 because it is the closest to 0.

What is the rectangular form of r=6/costheta

Answers

Answer:

 The line x=6.

Step-by-step explanation:

The usual translations between polar and rectangular coordinates are ...

x = r·cos(θ)y = r·sin(θ)

If we multiply the given equation by cos(θ), we get ...

  r·cos(θ) = 6

Using the above translation, this becomes ...

 x = 6

Find the 18th term of the sequence 5, 8, 11, 14, 17...

Answers

Answer:

The answer would be 56.

Answer:

56 will be your answer

Step-by-step explanation:

20 23 26 29 32 35 38 41 44 47 50 53 56

Please mark Brainiest.

I know it's a long question but the reward is great!

Please answer if you truly know how to help!! Thank you!!


After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola.


The equation for this parabola is y = -x2 + 36.


In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.




What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?


What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.


Is the linear function you created with your table positive or negative? Explain.


What are the solutions or solution to the system of equations created? Explain what it or they represent.


Again thank you if you can help me with this!!

Answers

Answer:

Step-by-step explanation:

Here y = -x^2 + 36.

We can choose x values pretty much at random and then calculate the associated y values:

x    y = -x^2 + 36

----  --------------------

0                      36

2                 -2^2 + 36 =  32

-2                  -4 + 36 = 32

3                  -9 + 36 = 27

You did not share the equation of the slanted line.  Let's assume that the equation of this line is y = mx + b.  The first two points in the table above are (0, 36) and (2, 32).  We could find the equation of this line as follows:

Slope:  as we move from (0, 36) to (2, 32), x increases by 2 and y decreases by 4.  Thus, the slope is m = rise / run = -4/2, or -2.  Using info from the point (0, 36), we find the y-intercept of this straight line:

y = mx + b becomes 36 = m(0) + b, so b = 36, and the line is y = -2x + 36.

We need to find the points of intersection of y = -2x + 36 and y = -x^2 + 36.  We can equate these equations to eliminate y:  -2x + 36 = -x^2 + 36, or

-2x = -x^2.  Equivalently, 2x - x^2 = 0, or (x)(2 - x) = 0.  Then x = 0 and x = 2.

This says that the line and the parabola intersect in at least two places:

(0, 36) and (2, 32).

someone help please?
Two students are using estimation to determine reasonable solutions to the expression 89.1 x 9.3 Katie uses the 99 x 10. Amaya uses the expression 89 x 9.

A.Which is the best comparison of the estimates and the actual product?

B.Both estimates will be less than the original product.

C. Both estimates will be greater than the original product.
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.

Answers

Choice D), since Katie went way over the decimals, and Amaya went slightly under to the closest number

Answer:

Amaya's estimate is the closer one.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product

Step-by-step explanation:

The original expression is 89.1 x 9.3. Katie changed the 89.1 to 99 (difference of 9.9) and the 9.3 to 10 (difference of 0.7). On the other hand, Amaya changed the 89.1 to 89 (0.1 difference) and the 9.3 to 9 (0.3 difference).

Therefore the best comparison would be Amaya's estimate since her numbers are closer to the original expression.

Katie's estimate will be greater than the actual product because she rounded up the numbers and Amaya's estimate will be less than the actual product because she rounded down the numbers.

Factor completely. y2 - 12y + 32 A. (y + 4)(y + 8) B. (y - 4)(y - 8) C. (y + 18)(y + 2) D. (y - 18)(y - 2)

Answers

Ask: Which two numbers add up to -12 and multiply to 32?

-8 and -4

Rewrite the expression using the above

= (y - 4)(y - 8)

Answer:

The correct answer is option B.

Step-by-step explanation:

Given quadratic equation : [tex]y^2-12y+32[/tex]

Using middle term splitting theorem:

=[tex]y^2-12y+32[/tex]

=[tex]y^2-8y-4y+32[/tex]

=[tex]y(y-8)-4(y-8)[/tex]

=[tex](y-8)(y-4)[/tex]

y = 8, 4

The factors of given quadratic equation is (y-8)(y-4).

What is the measure of

Answers

Answer:

91

Step-by-step explanation:

The lines that are parallel are parallel and because of that 89+91=180 for two angles of the square on the same side.

Please help me out please

Answers

The purple area is the sum of the circle sector and the triangle:

[tex]A = A_s+A_t[/tex]

Let's compute them one at the time:

The sector is identified by an angle of 260°, because it is the remainder of a 100° angle.

We can build this simple proportion

[tex]\text{total area}\div\text{total angle}=\text{sector area}\div\text{sector angle}[/tex]

The area of the circle is [tex]\pi r^2[/tex], so we have

[tex]\pi 8.35^2\div 360= A_s\div 260[/tex]

Solving for the sector area, we have

[tex]A_s = \dfrac{\pi\cdot8.35^2\cdot260}{360} = \dfrac{8.35^2\cdot 13\pi}{18}[/tex]

The triangle is an isosceles triangle, because two of the sides are radii. This means that the height is also a bisector, so we can cut the triangle in two 90-50-40 triangles.

Using the law of sines, we can deduce that the height is

[tex]8.35\sin(40)[/tex]

And half the base is

[tex]8.35\sin(50)[/tex]

So, the area of the triangle is

[tex]A_t = 8.35^2\sin(40)\sin(50)[/tex]

So, the purple area is

[tex]A = A_s+A_t =\\\dfrac{8.35^2\cdot 13\pi}{18}+8.35^2\sin(40)\sin(50) = 8.35^2\left(\dfrac{13}{18}\pi+\sin(40)\sin(50)\right)\approx 192.5[/tex]

Find the angles of a rhombus if the ratio of the angles that the diagonals form with a side is 6:9.

Answers

Answer:

The measures of the angles of the rhombus are 72° , 108° , 72° , 108°

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Each two opposite angles are equal

- Each two adjacent angles are supplementary (their sum = 180°)

- The diagonals are perpendicular to each other

- The diagonals bisect the vertices angles (divide each vertex into two

 equal parts)

* Now lets solve the problem

- Let the name of the rhombus is ABCD

- The two diagonals are AC and BD

- Let the diagonals AC and BD make the angles BAC and ABD with

 side AB

∵ The diagonals of the rhombus bisect the vertex angles

∴ m∠BAC is half m∠A

∴ m∠ABD is half m∠B

- There is a ratio between the measures of the angles BAC and ABD

∵ m∠BAC : m∠ABD = 6 : 9

∵ m∠A + m∠B = 180° ⇒ consecutive angles

∴ m∠BAC + m∠ABD = 1/2 × 180° = 90°

∵ m∠BAC : m∠ABD : their sum

         6     :       9      : 15⇒(6 + 9)

          ?    :        ?      : 90° ⇒(the sum of the angles)

∴ m∠BAC = 6/15 × 90° = 36°

∴ m∠ABD = 9/15 × 90° = 54°

∵ m∠BAC is half m∠A

∴ m∠A = 36° × 2 = 72°

∵ m∠ABD is half m∠B

∴ m∠B = 54° × 2 = 108°

* The measures of the angles of the rhombus are 72° , 108° , 72° , 108°

Answer:

72°, 108°, 72°, and 108°

Notes:

You should probably give the other person Brainliest, the answered first and they have a better explanation.

Find the value in degrees 2x+6. X 96

Answers

Answer:

x = -0.04166666667

Step-by-step explanation:

2x + 8 * 96 = 0

2x * 96 = -8

x/2 * 96 = -8/2

x * 96 = -4

x = -4/96

x = -0.04166666667

Answer:

198

Explanation:

The way to solve this equation is by using the "X=96" from moving it to the x in the equation witch makes it "2(96) + 6" When the variable is after the letter like 2x it always means multiplying. So when you multiply 2(96) together you get 192, then you would add 6+192 which would equal 198. I hope I helped! :D

What are the domain and range of f(x) = (1/6)x + 2? domain: ; range: {y | y > 0} domain: ; range: {y | y > 2} domain: {x | x is a real number}; range: {y | y > 2} domain: {x | x is a real number}; range: {y | y > –2}

Answers

Final answer:

The domain of f(x) = (1/6)x + 2 is all real numbers and the range is y > 2.

Explanation:

The domain of the function f(x) = (1/6)x + 2 is {x | x is a real number} because there are no restrictions on the input values. The range of the function is {y | y > 2} because any value of x will give a y-value greater than 2. To find the range, you can consider that the slope of the function is positive, meaning that as x increases, y will also increase, but it will never go below 2.

(Please dont ignore, need help) ❗️

Answers

Since 5•x=5x, which means that the large side is x times larger, x•x should equal 4.
If x^2=4,x=2
so x=2

Answer:

[tex]5.x=5x\\x^{2} =4, x=2\\x=2[/tex]

Step-by-step explanation:

hope its right

Charlene's swimming pool is rectangular. It has an area of 120 ft2. Charlene drew a scale drawing of the pool using the scale LaTeX: 1\frac{1}{2} 1 1 2 centimeters = 2 feet. What was the area of the scale drawing?

Answers

Answer:

The area of the scale drawing is [tex]67.5\ cm^{2}[/tex]

Step-by-step explanation:

The scale drawing is

[tex](1\frac{1}{2})/2\ \frac{cm}{ft}[/tex]

Convert to an improper fraction

[tex](1\frac{1}{2})=3/2[/tex]

substitute

[tex](1\frac{1}{2})/2=(3/4)=0.75\ \frac{cm}{ft}[/tex]

The area is equal to

[tex]120\ ft^{2}[/tex]

substitute

[tex]120*(0.75)^{2}=67.5\ cm^{2}[/tex]

The area of the scale drawing of Charlene's swimming pool is [tex]\( 67.5} \)[/tex] square feet.

To find the area of the scale drawing of Charlene's swimming pool, we need to understand the scale given and how it applies to the dimensions and area.

Given:

Actual area of the swimming pool: [tex]\( 120 \) ft\(^2\)[/tex]

Scale of the drawing: [tex]\( 1 \frac{1}{2} \) centimeters = 2 feet[/tex]

First, convert the scale to centimeters:

[tex]\[ 1 \frac{1}{2} \text{ centimeters} = 1.5 \text{ centimeters} \][/tex]

Now, determine the scale factor for the dimensions:

[tex]\[ \text{Scale factor} = \frac{1.5 \text{ cm}}{2 \text{ ft}} \][/tex]

To find the area of the scale drawing, we need to square the scale factor, because area is two-dimensional:

[tex]\[ \text{Area scale factor} = \left(\frac{1.5}{2}\right)^2 \][/tex]

[tex]\[ \text{Area scale factor} = \left(0.75\right)^2 \][/tex]

[tex]\[ \text{Area scale factor} = 0.5625 \][/tex]

Now, calculate the area of the scale drawing:

[tex]\[ \text{Area of scale drawing} = 0.5625 \times 120 \text{ ft}^2 \][/tex]

[tex]\[ \text{Area of scale drawing} = 67.5 \text{ ft}^2 \][/tex]

What is the value of pi to 10 decimal places

Answers

Answer:

3. 415926535

Step-by-step explanation:

Please help me out with this

Answers

Answer:

48

Step-by-step explanation:

central angle with arc of <y is 96

so circumference angle 48

Answer:

y = 48°

Step-by-step explanation:

The angle on the circle ( the inscribed angle ) y is half of the central angle subtended by the same arc on the circle, hence

y = 0.5 × 96° = 48°

A plane flying against the wind flew 270 miles in 3 hours. Flying with the wind, the plane traveled 260 miles in 2 hours. Find the rate of the plane in calm air and the rate of the wind. I want to know the answer for this pleasee

Answers

Answer:

The plane would have been going the amount as it supposed to g.

Step-by-step explanation:

The plane flying against the wind is going 90 mph and the plane flying with the wind is traveling at 130 mph. Your welcome

Determine which of the mapping diagrams represents a relation that is not a function.
I really need help with this, thank you

Answers

Final answer:

A function is a relation where each input is related to exactly one output. In mapping diagrams, if an 'x' value is associated with multiple 'y' values, the relation is not a function. Make sure to check the mapping to determine this.

Explanation:

In mathematics, specifically in the area of functions and relations, a function is a type of relation where each input (or 'x' value) is related to exactly one output (or 'y' value). If a relation has an 'x' value that is associated with more than one 'y' value, we say that this relation is not a function. When examining mapping diagrams, you can tell if it's a function or not by checking this rule.

For example, if you have a mapping diagram where the number 1 (the 'x' value) is mapped to both 2 and 3 (the 'y' values), this would not be a function because one input is associated with more than one output. On the other hand, if you have a mapping where every 'x' value is mapped to one 'y' value, such as 1 to 2, 2 to 3 and 3 to 4, this is a function.

Learn more about Functions and Relations here:

https://brainly.com/question/2253924

#SPJ12

PLEASE CAN SOMEONE HELP ME ON THIS , IM NOT SURE WHATS SUPPOSE TO BE DONE OR WHAT TO DO. PLEASE HELP PLS

Answers

Answer:

[tex]x^{2/3}[/tex]

Step-by-step explanation:

When you have a power then a root like that, you have to divide the power by the root.

So, in this case, you have q square (x²) and a cubic root (³√).

So, you take your square (2) and divide it by the cube (3), to get a new power of 2/3.

Let's verify it with x = 2

[tex]\sqrt[3]{2^{2} } = \sqrt[3]{4} = 1.59\\\\\\2^{2/3} = 1.59[/tex]

So, both expressions equal the same thing, it means they're equivalent.

Does each situation describe a survey, an experiment, or an observational study?

Select Survey, Experiment, or Observational Study for each situation.

Answers

Answer:

Observational study, survey, experiment

Step-by-step explanation:

The first is an observational study.  The children make the choices and the choices are observed.

The second one is a survey.  The employees are given questionnaires to answer.

The third one is an experiment.  The nurse selects random samples to compare the effects of different ointments.

A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a black marble?

6/24

5/24

17/24

7/24

Answers

Answer:

D 7/24

Step-by-step explanation:

Because on the first choice, there is a total of 24 marbles

if theres 7 black marbles the chance of pulling a black marble is 7/24

Zack has two strings of equal length. One string is red the other is yellow. After cutting 2.5 meters of the red string and 3.8 M of the yellow string, the length of the red string is 1.5 times that of the yellow strain. Find the original length of the yellow string.

Answers

Answer:

6.4 m

Step-by-step explanation:

We have 2 expressions here.  The first one is the fact that r = y.  That's one of 2 equations.  The second one involves whats' left after cutting off certain lengths of each color string.  We cut 2.5 m from red, we cut 3.8 m from yellow.  We know that what's left of red is 1.5 times the length of what's left of yellow.  What's left of red is r - 2.5; what's left of yellow is y - 3.8.  We know that r = 1.5y, so filling that in with our corresponding expressions gives us

r - 2.5 = 1.5(y - 3.8)

Distribute to get

r - 25 = 1.5y - 3.2

Now from the first expression, r = y, so fill in y for r to get an equation in one variable:

y - 2.5 = 1.5y - 3.2

Combine like terms:

-.5y = -3.2 and divide to get

y = 6.4

Check it to make sure it works.  What's left of red should be 1.5 times the length of what's left of yellow and y = 6.4:

What's left of red: 6.4 - 2.5 = 3.9

What's left of yellow: 6.4 - 3.8 = 2.6

1.5 x 2.6 = 3.9, just like it should!

given any triangle ABC labeled as shown, the law of sines states that:

Answers

Answer:

A. The ratios of the sine of the angle to the opposite side are the same.

Step-by-step explanation:

The law of sines is ...

sin(A)/a = sin(B)/b = sin(C)/c

Answer:

Option A is correct that is the ratio of the sine of an angle to the length of the opposite side is the same for all part of the triangle.

Step-by-step explanation:

Given:

Three angles of the triangles = ∠A ,  ∠B and ∠C

Three Sides of the triangle = a , b , c

We need to find statement which states the Law of Sines.

We know that Law of Sines is given by,

[tex]\frac{a}{sin\,A}=\frac{b}{sin\,B}=\frac{c}{sin\,C}[/tex]

or

[tex]\frac{sin\,A}{a}=\frac{sin\,B}{b}=\frac{sin\,C}{c}[/tex]

Therefore, Option A is correct that is the ratio of the sine of an angle to the length of the opposite side is the same for all part of the triangle.

Other Questions
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