Question: Simplify and write in reduced form

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

Answer:     y = 734x + 350

Step-by-step explanation:

y = mx +  b

let x be the number of cars he sells, then:

y = 734x + 350

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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Answer:

7 cm

Step-by-step explanation:

We are told that the pyramid has a square base of an area of 49 cm².

Therefore, the side length of the base of the pyramid is still the same as the side length of a square having an area of 49 cm².

Area of a square = s², where s is the side length of the square.

The side length of the base can be gotten using the following equation,

\( s^2 = 49 \)

Solve for s by looking for the share root of both sides.

\( \sqrt{s^2} = \sqrt{49} \)

\( s = 7 \)

The side length of the base = 7 cm

The greatest possible difference between David's result and Armen's result is 5.

Let's first consider the maximum number of odd shirts Armen can count. Since there are only 5 odd numbers between 1 and 9, the maximum number of odd shirts Armen can count is 1+3+5+7+9 = 25.

Now, let's consider the maximum number of even shirts David can count. Since there are only 4 even numbers between 1 and 9, the maximum number of even shirts David can count is 2+4+6+8 = 20.

Therefore, the greatest possible difference between David's result and Armen's result is

= 25 - 20

Subtract the numbers

= 5

The maximum difference occurs when Armen counts all 5 odd shirts and David counts all 4 even shirts.

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Answer:

21 quarters and 21 dimes

Step-by-step explanation:

21 quarters = 5 dollars and 25 cents

21 dimes = 2 dollars and 10 cents

add together and you get the total

21 quarters and 21 dimes

Her mental age would be 8 yrs old.

IQ [ Intelligent Quotient ]  is a type of standard score that indicates how far above, or how far below, his/her peer group an individual stands in mental ability.

IQ of a person is given by the formula -

IQ = MA/CA * 100

IQ = Mental Age / Chronological Age * 100

According to the question, IQ = 100, CA = 8

⇒ 100 = MA / 8 *100

⇒1 = MA / 8

⇒ MA = 8 Yrs

Hence, the estimated mental age of susan is 8 yrs old.

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We used the concept of generating functions and the binomial theorem, there are 33,649 collections of six positive, odd integers that have a sum of 18.

To find the number of collections, we used the concept of generating functions and the binomial theorem. We represented the possible values for each integer as terms in a generating function and found the coefficient of the desired term. However, since we were only interested in the number of collections and not the specific values, we simplified the calculation using the stars and bars method. By arranging stars and bars to represent the sum of 18 divided into six parts, we calculated the number of ways to arrange the dividers among the spaces. This resulted in a total of 33,649 collections of six positive, odd integers with a sum of 18.

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To find the derivative of the function f(x) = x²(x - 9)², we can use the product rule and the chain rule. The derivative of f(x) is f'(x) = 2x(x - 9)² + x²(2(x - 9))(1) = 2x(x - 9)² + 2x²(x - 9).

To find the derivative of a function, we can apply various differentiation rules. In this case, we use the product rule and the chain rule.

Using the product rule, we differentiate each term separately and then sum them up. The first term, x²,

differentiates

to 2x. The second term, (x - 9)², differentiates to 2(x - 9) times the derivative of (x - 9), which is 1.

Applying the chain rule, we multiply the derivative of the outer function, x², by the derivative of the inner function, (x - 9). The derivative of x² is 2x, and the

derivative

of (x - 9) is 1.

Combining these results, we obtain the derivative of f(x) as f'(x) = 2x(x - 9)² + 2x²(x - 9).

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The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

Answer: 131°

Step-by-step explanation:

Supplementary angles are the angles that when we add them together, their sum is equal to 180°.

From the question, we are informed that angle w and angle v are supplementary angles and angle v=49.

V + W = 180°

49° + W= 180°

W = 180° - 49°

W = 131°

Recall that the area of a square is:

and the volume of a cube is:

Since the base of the cube has an area of 324 meters squared, then:

Then:

Therefore the volume of the given cube is:

Simplifying the above result we get:

Answer:

Answer:

7

Step-by-step explanation:

so simple like that you gona divide it

Answer:

A raiz da equação 2x - 1 = - 3, é: ( U = Z)

Step-by-step explanation:

Cuanto es la raiz cuadrada 7 x 4 cuando usas la ecuacion de 168?

The volatility (standard deviation) of a portfolio consisting of an equal investment in 35 firms of type S can be calculated by taking into account the probabilities and returns of the firms. Given that S firms move together, the volatility will be lower than that of a portfolio consisting of 35 independent firms of type I.

To calculate the volatility of the portfolio, we need to consider the probabilities and returns of the firms. In this case, both types of firms, S and I, have a 70% probability of a 7% return and a 30% probability of a -18% return.

For a portfolio of 35 S firms, since they all move together, the portfolio return will be the average return of the individual firms. The average return is given by (0.7 * 7%) + (0.3 * -18%) = 2.3%.

To calculate the volatility, we need to find the standard deviation of the returns. Since all S firms move together, their returns are perfectly correlated. When returns are perfectly correlated, the standard deviation of the portfolio is equal to the standard deviation of the individual returns divided by the square root of the number of firms.

Assuming the standard deviation of the individual returns is σ, the volatility of the portfolio is given by σ/√n, where n is the number of firms. In this case, n = 35. Thus, the volatility of the portfolio consisting of 35 S firms would be σ/√35.

Similarly, for a portfolio of 35 independent I firms, the calculation would be the same, but the volatility would be higher since the returns of the independent firms are not perfectly correlated.

In conclusion, the volatility (standard deviation) of a portfolio consisting of an equal investment in 35 S firms would be σ/√35, where σ represents the standard deviation of the individual returns.

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Parametrization of equations x=x(t), y=y(t) for f(x)=x^8−x^2−6 from (5,−4) to (9,−1) is that parametrization does indeed connect the points (5, -4) and (9, -1).

A parametrization for the curve that connects the points (5, -4) and (9, -1) given by the function f(x) = \(x^8 - x^2 - 6.\)

To do this, we can use the parameter t to represent points on the curve as follows:

x(t) = 5 + 4t, since we want x to start at 5 and end at 9, so we need to add 4 to x over the interval [0, 1].

Substituting this into our function f(x), we get:

y(t) = f(x(t)) = \((5 + 4t)^8 - (5 + 4t)^2 - 6\).

Therefore, our parametrization is:

x(t) = 5 + 4t

y(t) = (5 + 4t)^8 - (5 + 4t)^2 - 6

To verify that this parametrization does indeed connect the points (5, -4) and (9, -1), we can check that x(0) = 5, x(1) = 9, y(0) = f(5) = -4, and y(1) = f(9) = -1.

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The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)

Equation:

An equation is the mathematical statement which is made up of two expressions connected by an equal sign.

For example, 3x – 2 = 16 is an equation.

Given,

There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.

On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.

So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.

To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.

So, the equation to calculate the cost of pizza,

=> number of items sold x cost.

Here we have to write the equation for three types and we have to find the total cost for it,

So, the equation is looks like,

=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)

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The length of y in the triangle is 14√3 units.

A right angle triangle is a triangle with one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the value of the indicated variable can be found as follows:

using trigonometric ratios,

sin 60° = opposite / hypotenuse

Where

opposite side = y

hypotenuse side = 28

sin 60° = y / 28

cross multiply

y = 28 sin 60°

y = 28 × √3 / 2

y = 14√3

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Answer:

-5,-5

Step-by-step explanation:

m a  t  h  w  a  y  .  c  o  m

The expression that is not a variation of the Pythagorean identity is the third option.

The Pythagorean identity can be written as:

\(sin^2(x) + cos^2(x) = 1\)

For example, if we subtract cos^2(x) on both sides we get the second option:

\(sin^2(x) = 1 - cos^2(x)\)

Which is a variation.

Now, let's divide both sides by cos^2(x).

\(sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1\)

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

y=2/3x-3

Step-by-step explanation:

first, you have to isolate the y, so subtract 2x from both sides. -3y=-2x+9

Next, we must divide all sides by -3, so y=-2/-3x-3

Finally, simplify the equation to y=2/3x-3

Answer:

y=mx+b

y=2/3x + -3

2/3 is the slope  points are (0,-3)

Step-by-step explanation:

2x-3y =9

subtract 2x from each side leaving it -3y = -2x +9

now divide both sides by -3                 -3y/-3=-2x/-3 +9/-3

                                                                      y= 2/3+ -3

Polar Coordinates

Given a point in coordinates (r, θ), the equivalent point in cartesian coordinates (x, y) can be found as:

x = r cos θ

y = r sin θ

We are given the point:

Converting to cartesian coordinates:

The cartesian coordinates are:

Answer:

y=-7x+22

Step-by-step explanation:

Answer:

S, BB, J

Step-by-step explanation:

Because you are going greatest (positive) to least (negative)

Highest to lowest

Answer:

9c

Step-by-step explanation:

8c +c = 9c

A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.

The following steps can be used to find a coterminal angle between 0 and 360 degrees:

Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.

Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.

The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.

The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.

The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.

Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.

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Answer:

because its 5 squared, therefore, the first number can not be a sqaure number

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5^9

The power is an odd number

To be a perfect square, the power has to be an even number

(a) The points on the curve where the tangent is horizontal are t = -3 and t = 0.

(b) There are no points on the curve where the tangent is vertical.

(a) To find the points on the curve where the tangent is horizontal, we need to determine the values of t for which the derivative of y with respect to x, dy/dx, equals zero. First, let's find dy/dx by differentiating the given equations with respect to t:

dx/dt = 6t^2 + 6t

dy/dt = 6t

Next, we can express dy/dx in terms of t by dividing dy/dt by dx/dt:

dy/dx = (dy/dt)/(dx/dt) = (6t)/(6t^2 + 6t) = t/(t^2 + t)

For the tangent to be horizontal, dy/dx must equal zero. Therefore, we solve the equation t/(t^2 + t) = 0:

t = 0 and t = -1

Substituting these values back into the original equations for x and y, we obtain the points on the curve where the tangent is horizontal: (-3, 180) and (0, 203).

(b) To find the points on the curve where the tangent is vertical, we need to determine the values of t for which the derivative dy/dx is undefined. However, from the equation dy/dx = t/(t^2 + t), we can see that there are no values of t that make the denominator zero. Hence, there are no points on the curve where the tangent is vertical.

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The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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