NOW ANSWER THE QUESTION THIS TIME

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

Learn more about Synthetic Division:

https://brainly.com/question/14645972

#SPJ4

The marginal profit function represents the rate of change of profit with respect to the number of magazines sold. To find the marginal profit function, we need to calculate the derivative of the profit function.

The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function.

The revenue function R(x) is given by R(x) = p(x) * x, where p(x) is the price function.

Given that p(x) = 4.600.0006x, the revenue function becomes R(x) = 4.600.0006x * x = 4.600.0006x².

The cost function is given by C(x) = 0.0005x² + x + 4000.

Now, we can calculate the profit function:

P(x) = R(x) - C(x) = 4.600.0006x² - (0.0005x² + x + 4000)

      = 4.5995006x² - x - 4000.

Finally, we can find the marginal profit function by taking the derivative of the profit function:

P'(x) = (d/dx)(4.5995006x² - x - 4000)

       = 9.1990012x - 1.

Therefore, the marginal profit function is given by MP(x) = 9.1990012x - 1.

learn more about derivative here:

https://brainly.com/question/29020856

#SPJ11

Answer:

C: The data distribution is skewed to the right.

Step-by-step explanation:

Took the test on Edmentum and got it right.

Answer:

6 squareoot 6

Step-by-step explanation:

1. We should understand that question is missing, but, the amount 1 that Mia has to pay back if she takes the loan will be Loan amount plus the interest on it.

2. The banks 2 and other financial institutions did offer cash loans to people that did not apply for it because they knew that had favorable credit worthiness, that is, they repay loan as at when due.

Creditworthiness is how a lender determines whether you will default on your debt obligations or whether you are creditworthy. Creditors consider your creditworthiness before approving new credit for you.

Several factors influence it, including your repayment history and credit score. When determining the likelihood of default, some lending institutions consider available assets as well as the number of liabilities you have.

The credit report shows how much debt you have, as well as the high balances, credit limits, and the current balance of each account. It will also flag any relevant information for the potential lender, such as past due amounts, defaults, bankruptcies, and collection items.

Read more about Creditworthiness

brainly.com/question/2254218

#SPJ1

The general form is nthroot{a} in index form looks like this: a^(1/n).

Let's rationalize the denominator first.

Doing so, we get (1/2)sqrt{2}.

In index form, the sqrt{2} = 2^(1/2).

We now have (1/2)[2^(1/2)].

Is this clear?

The test that fits the description is called the Wechsler Preschool and Primary Scale of Intelligence (WPPSI).

The WPPSI is a standardized intelligence test designed for children aged 2½ to 7 years old. It assesses various cognitive abilities and provides separate levels for different age ranges, specifically ages 2½ to 4 and 4 to 7. The test measures both verbal and non-verbal (performance) abilities, and it also yields combined scores that provide an overall measure of intelligence.

The test consists of a series of subtests that evaluate different areas such as verbal comprehension, working memory, perceptual reasoning, and processing speed. These subtests assess the child's abilities in areas like vocabulary, comprehension, visual-spatial skills, problem-solving, and attention.

By providing separate levels for different age groups and assessing multiple cognitive domains, the WPPSI offers a comprehensive evaluation of a child's intellectual abilities during the preschool and primary school years.

for such more question on description

https://brainly.com/question/22008756

#SPJ8

Answer:

The equation of any straight line, called a linear equation, can be written as:   y = mx + b, where m is the slope of the line and b is the y-intercept.               The y-intercept of this line is the value of y at the point where the line crosses the y axis.

so to find that you can use y=mx+b, or you can use point slope form and that would be y-y1+m(x-x1)

remember m= slope b= y- intercept

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

To answer your question, first we need to know what is meant by "origin". The origin is a point on a coordinate plane that has the coordinates (0,0). This means that it is located at the intersection of the x-axis and y-axis.

Now, to get to point Y from the origin, we need to follow the directions given in the answer choices. Let's look at each one:

A) Move right 5 units and up 5 units - This means that we start at the origin (0,0) and move 5 units to the right along the x-axis, and then 5 units up along the y-axis. This would bring us to the point (5,5).

B) Move right 4 units and up 2 units - This means that we start at the origin (0,0) and move 4 units to the right along the x-axis, and then 2 units up along the y-axis. This would bring us to the point (4,2).

C) Move right 2 units and up 4 units - This means that we start at the origin (0,0) and move 2 units to the right along the x-axis, and then 4 units up along the y-axis. This would bring us to the point (2,4).

D) Move right 4 units and down 2 units - This means that we start at the origin (0,0) and move 4 units to the right along the x-axis, and then 2 units down along the y-axis. This would bring us to the point (4,-2).

So, the answer is A) Move right 5 units and up 5 units.

know more about  coordinate plane here

https://brainly.com/question/28471473

#SPJ11

Answer:

the y intercept is same for both

Step-by-step explanation:

that is the only answer

Answer:

Last 2 choices

Step-by-step explanation:

Points on the graph:

(-2, 4) and (0, -4)

To find b, using the first point

So the equation for the graph is:

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

1. The slope is positive. no, it is -4 for both

2. Lines are same, so answer is no

3. yes

4. yes

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

Explanation:

LK = 7x-10 is given

MK = 7x-10 as well because LK = MK

KN = x+3 is given

MN = 9x-11 is given

MK+KN = MN due to the segment addition postulate

Let's plug in the expressions for MK, KN and MN. Then we'll solve for x.

MK+KN = MN

(7x-10)+(x+3) = 9x-11

8x-7 = 9x-11

-7+11 = 9x-8x

4 = 1x

x = 4

With this x value in mind, we can then say that:

LK = MK = 7x-10 = 7*4-10 = 18

LJ = LK+KJ = 18+28 = 46

Answer:

25/96

Step-by-step explanation:

5 times 5 = 25

8 times 12 = 96

put them together as a fraction and you get 25/96

simplified.

Answer:

\(\frac{25}{96}\)

Step-by-step explanation:

\(\frac{5+5}{8+12}\)

\(\frac{25}{8TIMES12}\)

\(\frac{25}{96}\)

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

Read more about the multiplication of polynomials:

brainly.com/question/19851502

#SPJ4

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

For similar question on cosine rule.

https://brainly.com/question/27613782  

#SPJ8

Answer:

-3p-4

Step-by-step explanation:

-(7p+6)-2(-1-2p)

-7p-6+2+4p

-7p+4p-6+2

-3p-6+2

-3p-4

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

Answer:b and c

Step-by-step explanation:

Answer:

y = - 3x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x - 3 ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{3} }\) = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

Read more about Slope Intercept form at; https://brainly.com/question/1884491

#SPJ1

The expression 16w² + 24w + 9 can be written in form as (4w+3)².

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as:

⇒ 16w² + 24w + 9

To factor this expression, we can use the following steps:

Find two numbers that multiply to 16w² and add to 24w. The two numbers are 4w and 6w.

Create two binomials with the two numbers found in step 1. The binomials are 4w+3 and  (4w+3).

Multiply the two binomials together to get the factored form of the expression. The factored form is  (4w+3)².

Therefore, the equivalent expression to 16w² + 24w + 9 is (4w+3)².

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Answer:

29.4 cm^2

Step-by-step explanation:

We can use a proportion to find the height:

120 : 100 = x : 7

x = (120 *7)/100 = 8.4 cm

Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2

Answer:

29.4cm²

Step-by-step explanation:

First we are going to find 120% of 7.

7 × \(\frac{120}{100}\) = 8.4 cm

Therefore, 8.4 cm is the height.

Area =  \(\frac{1}{2}\) Base × Height

= \(\frac{1}{2}\) × 7 × 8.4 = 29.4cm²

Answer:

Hope the picture will help you

Answer:

2.718

Step-by-step explanation:

let x = .027^2/3

x=.027^.67

applying natural log on both sides

lnx = ln.027^.67

lnx = .67ln.027

lnx = 2.42004

applying antilog on both sides

x = e^2.42004

x = 2.718

thus, .027^2/3 = 2.718

As per the function represented by the table, the correct function notation is f(5) = 9.

Given a function represented by a table is shown as follows:

x| 2 | 5 | 9

y| 9 | 14| 5

We can say that the ordered pair given in the bottom row can be written using function notation as f(5) = 9.

Function notation is a method to represent functions, and it is usually used in mathematics to make it easier to work with functions.

It helps to identify the input, the function, and the output of a function.

Using function notation:In function notation, the input is represented by the variable x, and the output is represented by the variable y.

Therefore, we can say that f(x) = y.

Using the table, we can see that when x = 5, y = 14.

So, f(5) = 14 is the correct answer to the given question.

Here, we see that the x and y coordinates are swapped from what we are used to.

The correct function notation is f(5) = 9.

For more related questions on function notation:

https://brainly.com/question/29514094

#SPJ8

The feedback gains required to minimize the cost function are λ = 2 and μ = 0. The feedback gains can be calculated using the difference equation approach of Section 11.4.

The difference equation approach of Section 11.4 can be used to calculate the feedback gains required to minimize a cost function. The approach involves creating a difference equation that describes the cost function, and then solving the difference equation for the feedback gains.

In this case, the cost function is given by J3=∑k=03x2(k). The difference equation that describes the cost function is given by:

x(k+1) = 0.9x(k) + 0.1u(k) - λx(k) + μu(k)

The feedback gains can be calculated by solving the difference equation for λ and μ. The solution is given by:

λ = 2

μ = 0

To learn more about cost function click here : brainly.com/question/32586458

#SPJ11

The number of times you have to run to complete 5 2/3 kilometers is 13 1/3 times .

A proper fraction is a non-integer in which the numerator is less than the denominator. An example of a proper fraction is 2/5. A mixed fraction is a fraction that is made up of a proper fraction and a whole number. An example of mixed fraction is 5 2/3.

In order to determine the number of times you would have to run around the track, divide the total kilometers you want to run by the length of the running track

Number of times you should run = 5 2/3 ÷ 2/5

17/3 ÷ 2/5

17 / 3 x 5/2= 80 / 6 = 13 2/6 = 13 1/3 times

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

#SPJ1

Solution of integral  \(\int \frac{ds}{s^{2}(s-1)^{2} }\) is  \(2ln|\frac{s}{s-1}|-\frac{1}{s}-\frac{1}{s-1}+c\).

We have to evaluate \(\int \frac{ds}{s^{2}(s-1)^{2} }\)

By using partial fractions, evaluate the integral

Let \(\frac{1}{s^{2}(s-1)^{2} } =\frac{A}{s} +\frac{B}{s^{2}} +\frac{c}{s-1} +\frac{D}{(s-1)^{2} }\)

\(1=As(s-1)^{2} +B(s-1)^{2} +Cs^{2}(s-1)+Ds^{2}\)

Put s = 0, 1 = B.1 ⇒ B = 1

Put s= 1, 1 = D ⇒ D = 1

Put s = -1, \(1=A(-1)(-2)^{2} +B(-2)^{2} +C(-1)^{2} (-2)+D(-1)^{2}\)

1 = -4A + 4B -2C + D

1 = -4A + 4 -2C + 1

-4 = -4A -2C

2 = 2A + C----------------(1)

Put s = 2, 1 = A(2) + B +C(4) +D(4)

1 = 2A + 1 + 4C +4

-4 = 2A + 4C

-2 = A + 2C---------------(2)

From(1),

C = 2 -2A ---------------(3)

From (2),

⇒ -2 = A + 4 -4A

⇒ -6 = -3A ⇒ A = 2

From (3)

C = 2 - 2(2)

⇒ C = -2

Thus \(\int \frac{ds}{s^{2}(s-1)^{2} }= \int (\frac{2}{s} +\frac{1}{s^{2} }- \frac{2}{s-1} +\frac{1}{(s-1)^{2} } )ds\)

= \(2 ln|s|-\frac{1}{s} -2ln|s-1|-\frac{1}{s-1}+c\)

= \(2ln|\frac{s}{s-1}|-\frac{1}{s}-\frac{1}{s-1}+c\)

Thus,

Solution of integral  \(\int \frac{ds}{s^{2}(s-1)^{2} }\) is  \(2ln|\frac{s}{s-1}|-\frac{1}{s}-\frac{1}{s-1}+c\).

Find out more information about integral here

brainly.com/question/18125359

#SPJ4

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

Learn more about correlation here:

https://brainly.com/question/30116167

#SPJ11