Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the letters of the word DANCER be arranged in a row? Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. So the answer is . (b) How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit? (c) How many ways can the letters of the word DANCER be arranged in a row if the letters NCE must remain together (in order) as a unit?

Answer:

x=-1

Step-by-step explanation:

multiplique el paréntesis por -6

10x-6+18x-12x+24=2

agripe los términos semejantes

16x-6+24=2  ......   16x+18=2

mueva la constante al lado derecho y cambie su signo

16x=2-18

calcula la diferencia

16x=-16

divida ambos lados de la ecuación entre 16

x=-1

Answer:

[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]

Answer:

x = 14 /3

Step-by-step explanation:

Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56

Answer:

tha answer is B

Step-by-step explanation:

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

Answer:

Solution given:

recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's

now

we have

2 dozen=3/4 cup of sugar

10dozen=3/4×10/2=15/2 cup of sugar is needed

Answer:

D. 50.24

Step-by-step explanation:

The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D.  :) hope this helps  

Answer:

the answer is 40 because you count all the squares that are in the shape

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Let the number of candy Ed took be denoted as "x"

Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"

Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48

This means:

2x + x = 48

3x = 48

X = 16.

Answer:

[tex]\boxed {\boxed {\sf 19.625 \ ft^2}}[/tex]

Step-by-step explanation:

The area of a circle is found using this formula:

[tex]a= \pi r^2[/tex]

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.

We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

[tex]a= (3.14)* (2.5 \ ft)^2[/tex]

Solve the exponent.

[tex]a= (3.14)*(6.25 \ ft^2)[/tex]

Multiply.

[tex]a=19.625 \ ft^2[/tex]

The area of the circle is 19.625 square feet.

Answer:

y = 5 x + ln ( x − 2 )

Answer:

6.3 years

Step-by-step explanation:

Given

[tex]P = 22400[/tex] --- initial value

[tex]r = 12\%[/tex] -- rate

[tex]A = P(0.88)^t[/tex] --- function

Required

Find t when [tex]A = 10000[/tex]

We have: [tex]A = P(0.88)^t[/tex]

Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]

[tex]10000 = 22400 * 0.88^t[/tex]

Divide both sides by 22400

[tex]0.4464 = 0.88^t[/tex]

Take log of both sides

[tex]\log(0.4464) = \log(0.88^t)[/tex]

Apply law of logarithm

[tex]\log(0.4464) = t\log(0.88)[/tex]

Solve for t

[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]

[tex]t = \frac{-0.3503}{-0.0555}[/tex]

[tex]t = 6.31[/tex]

[tex]t \approx 6.3[/tex]

Answer:

a

Step-by-step explanation:

a.

They increase

Answer:

2π ft²

Step-by-step explanation:

Circle Area:

A = πr²

A = π × (4 ft)²

A = 16π ft²

Sector Area:

A = (45°)/(360°) × 16π ft²

A = 2π ft²

Answer:

27×27=729

729^6..........

Answer:

The Bell Boeing V-22 Osprey is an American multi-mission, tiltrotor military aircraft ... However, the V-22 is generally not capable of hovering on one engine.

g would be 125 degrees

h would be 62 degrees

Answer:

g = 118°

Step-by-step explanation:

b = 180 - 62 = 118 because b is supplementary to the 62° angle

g = 118 because b and g are alternate interior angles

Answer:

B

Step-by-step explanation:

The x component must be positive (3)

Answer:

The coordinates of the center of the hyperbola are (1,-3)

Step-by-step explanation:

Equation of a hyperbola:

The equation of a hyperbola with center [tex](x_0,y_0)[/tex] is given by:

[tex]\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1[/tex]

In this question, we have that:

[tex]-x_0 = -1 \rightarrow x_0 = 1[/tex]

[tex]-y_0 = 3 \rightarrow y_0 = -3[/tex]

The coordinates of the center of the hyperbola are (1,-3)

Answer:

probability: 0.44

The probability that a student chosen at random will be 16 or older is 0.44 or 44%.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability that a student chosen at random will be 16 or older is the sum of the probabilities of selecting a 16-year-old or older student.

P(16 or older) = P(16) + P(17) + P(18)

P(16 or older) = 0.28 + 0.15 + 0.01

P(16 or older) = 0.44

Therefore, the probability that a student chosen at random will be 16 or older is 0.44 or 44%.

Learn more about probability here:

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Answer:

half of 11:

5.5^2 x 3.14

30.25 x 3.14 = 94.985

round

94.99

Answer:

not clear

Step-by-step explanation:

what is the height and base? need an image

Answer:

- 1.5

Step-by-step explanation:

Given points

( x1 , y1 ) = ( 4 , - 5 )

( x2 , y2 ) = ( - 2 , 4 )

Now

Slope (m)

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

= ( 4 + 5 ) / ( - 2 - 4 )

= 9 / - 6

= -1.5

Hope it will help :)❤

Answer:

x = 14

Yes, the form a Pythagorean triple.

Step-by-step explanation:

50^2 - 48^2 = x^2

196 = x^2

x=14

Answer: He will need 7 boxes and there will be 6 in the last box

Step-by-step explanation:

I did division and solved it lol

Answer:

he needs 7 boxes

there will be just one book in the last box

Answer:

Step-by-step explanation:

the 2nd choice looks good Emily

y > x

y > x+2

y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.

If the symbol ≥ or > is used, shade above the line.

If the symbol ≤ or < is used shade below the line.

y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.

Hence, y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

To learn more on Graph click:

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Answer:

-3 I believe

Step-by-step explanation:

why dose the answer have to be 20+ letters

Answer:

-3

Step-by-step explanation:

To find y, plug in -12 for x in the y=1/4x equation. Multiply -12 by 1/4 (or divide -12 by 4) and you get -3.

Answer:

$15 / hr

$450 / week

Step-by-step explanation:

30 h x 52 w = 1560 hrs

$23400 / 1560 = $15 / hr

$15 * 30 hrs = $450 / week