Tiara is making a new dance outfit. She will need 3 2/3 yards of fabric for a shawl. She also needs 1 3/5 yards of fabric for the dress. She is fortunate enough to already have 2 yards of fabric in her possession. If the current price for fabric is $6.75 per yard, how much money will she need to finish her dance outfit?​

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answers:

a) 32500

b) 0.00604

c)  2.4 * 10^6

d) 1.47 * 10^(-3)

===================================================

Explanation:

The exponent over the 10 tells us how many spaces to move right or left.  If the exponent is positive, we move right. If negative, we move left. Think of a number line.

For part (a), the exponent is 4. So we move the decimal point 4 spaces to the right.

The 3.25 then becomes 32500

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

In part (b), the exponent -3 means we move 3 spots to the left to go from 6.04 to 0.00604

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

Part (c)

Place the decimal point between the first two digits and erase the zeros to get 2.4

Then we need to move the decimal point 6 spots to the right to get back to 2,400,000 again

Therefore we can say 2,400,000 = 2.4*10^6

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

Part (d)

Place the decimal point just after the first nonzero digit, and erase the zeros to the left to get 1.47

We must move the decimal point 3 spots to the left to go from 1.47 back to 0.00147 again

It means 0.00147 = 1.47*10^(-3)

Answer: he is right

Step-by-step explanation:

And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)

To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)

For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.

To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:

integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx

= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx

= integral from 0 to 2 of \(c*x^2 x2d\)

= [2c/3 * x^3] evaluated from 0 to 2

= (16c/3)

For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:

f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }

To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx

= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx

= integral from 0 to 2 of (3/16)*x^2 dx

= [3/16 * x^3/3] evaluated from 0 to 2

= 1

Therefore, the expected value of Y is 1.

To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx

= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx

= integral from \(0 to 2 of (3/8)*x^2 dx\)

= \([3/8 * x^3/3]\) evaluated from 0 to 2

= 2

And , the Y's variance is

\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)

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Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer:

the range is :

10 , 74 , 78 , 102

3 , 4 , 4 , 5 , 17

1.2, 1.2 , 3.2 , 3.5 , 3.6 , 6.5 , 8.2 , 9.2

Step-by-step explanation:

Answer: 0.625 possibly

Answer:

$121.25

Step-by-step explanation:

97 X 1.25 = 121.25

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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Answer: 3 7/15

Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of   1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.

Hope it helps and look at pic below to see the steps :)

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Answer:

169 sections

Step-by-step explanation:

A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces

The area of the 0.5×5 square foot pieces

Area= 0.5*5.

Area= 2.5 square feet

They have 422 square feet of floor on which to install the hardwood.

Number of sections to be purchased

= 422/2.5

= 168.8 sections

Approximately= 169 sections

Answer:

x = 30°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°. Please, please, remember this, as it will help you along the road in geometry, and is one of the basic rules in triangle theorems.

Assuming that the altitude of the triangle and the bottom ray is perpendicular, the angle next to the 60° angle is 90° or a right angle.

So, taking the left triangle (as both triangles are the same):

The value of x is 30°

This can be confirmed by looking at the big triangle, with the base angles of 60°.

Using the same angle rule:

The value of x is 30°

Answer:

\(x = 36\)

Step-by-step explanation:

\(3x + x + x = 180\)

\(5x = 180\)

\(x = 36\)

i dunno i think its 5 plus 50 plus 80 plus 90 x [50]

The expression 5x + 2x denotes the total cost of buying the same x number of candies of $5 and $2.

5 and 2 are constant and x is a variable.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Two types of candy.

Cost of candy = $5  and $2

Now,

5x + 2x is the expression for the total amount sold for selling x number of both candies.

Now,

5x + 2x

5 and 2 are constant values and it represents the cost of each type of candy.

x is a variable and it represents the number of candies sold.

Thus,

The expression is explained above.

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Answer:

104

Step-by-step explanation:

The angle is supplementary, so the total angle measure (of 79 and x) is 180. Just subtract the value we have (76) from the total value (180), and you get x.

They will be when they pass each other at 44 4/9 mins.

This is a classic question on Speed, time, & distance.

1. When time traveled in each segment is constant, then average speed is simple mean of speeds.

2. When distance traveled in each segment is constant, then average speed is reciprocal of simple mean of reciprocal of speeds. It is basically called Harmonic mean.

So this question falls in the category of 2.

=> So, average speed = Reciprocal of mean of reciprocals of 40 & 50.

=> Average speed = Reciprocal of mean of 1/40 & 1/50.

=> Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of (5+4)/400

= 44 4/9 mins

Hence, they will be when they pass each other at 44 4/9 mins.

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The number of ways to fill the five committee positions is 1296

from the question, we have the following parameters that can be used in our computation:

The number of ways to fill the five committee positions is calculated as

Ways = Faculty member * Male students * Female students * Parent * School board member

So, we have

Ways = 4 * 6 * 6 * 3 * 3

Evaluate

Ways = 1296

Hence, there are 1296 ways

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Answer:

x = 456

Step-by-step explanation:

X/24 = 19

Multiply 24 by each side

X/24 * 24 = 19*24

x = 456

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

Answer:

3

Step-by-step explanation:

you have to multiply by 9.

2times9=18,5times 9=45,4times 9=36,

3times9=27.

Answer:

PPP Loan

Step-by-step explanation:

Answer:

bottom right

Step-by-step explanation:

Answer: Circumcenter

Step-by-step explanation:

Please view the photo below for proof that it is accurate.

Answer:

4 units i think

Step-by-step explanation:

i dont know how beacuse 4 is answer

The balance due on the note at the date of maturity is $1012.49

Given,

Principal  = $2000

Int rate(r) = 5%

Effective date April 1

The partial payment date May 1

Maturity date June 1

partial payment is being made on May 1

Interest from April 1 to May 1 for 30 days and is calculated as:

$2000 x 0.05 x (30/365) = $8.21

Interest Amount deducted from the principal = $2000 - $8.21 = $1991.79

Amount applied to the principal = $1000 - $8.21 = $991.79

Principal  due = $2000 - $991.79 =$1008.21

Interest on new principal $1008.215 will be for (61` - 30 ) is 31 days

interest due = $1008.21 x 0.05 x (31/365) = $4.28

Account due on maturity (Total due) is $1012.49

The principal is the amount of  debt originally borrowed that  remains unpaid. This amount does not include accrued unpaid interest related to the debt. The term can also refer to a principal participant in a contract or other  transaction. Home loan equity is the amount of money originally borrowed by the lender, and  it can also refer to the amount of money remaining when the loan is paid off.

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Answer:

Yes

Step-by-step explanation:

u substitute the x and y for 4 and -9. When u do, the equation is true.