What is the quotient of –3a^4–3a/–3a

Answer:

The Guzman and Hashimoto families each took a 4-hour road trip. The

distances traveled by each family are shown in the table and graph below.

Which family averaged fewer mil

After evaluation, the resultant value of the function f(2009) is 1.9021.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Any input for x results in a single output for y.

Considering that x is the input value, we would state that y is a function of x.

So, evaluate f(2009) as follows:

Given that f(x) is a function with all positive real numbers satisfying the requirement that f(x) > 0 and for all x > 0 and also:

\(\begin{aligned}&f(x-y)=\sqrt{f(x y)+1} \\&x > 0, y > 0 \\&\text { for, } x=1, \text { and } y=\frac{1}{2} \\&f\left(1-\frac{1}{2}\right)=\sqrt{f\left(1 \times \frac{1}{2}\right)+1} \\&f\left(\frac{1}{2}\right)^2=f\left(\frac{1}{2}\right)+1 \\&f\left(\frac{1}{2}\right)=\frac{1+\sqrt{5}}{2}\end{aligned}\)

Now, consider: x = 2009 and y = 0

\(\begin{aligned}&f(2009-0)=\sqrt{f(2009 * 0)+1} \\&f(2009)=\sqrt{f(0)+1} \\&f(2009)=\sqrt{f\left(\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}\right)+1} \\&f(2009)=\sqrt{\sqrt{f\left(\frac{1}{\sqrt{2}} * \frac{1}{\sqrt{2}}\right)+1}+1} \\&f(2009)=\sqrt{\sqrt{f\left(\frac{1}{2}\right)+1}+1} \\&f(2009)=\sqrt{\sqrt{\frac{1+\sqrt{5}}{2}+1}+1} \\&f(2009)=\sqrt{\sqrt{\frac{3+\sqrt{5}}{2}}+1} \\&f(2009)=\sqrt{\sqrt{5.2362}+1} \\&=\sqrt{3.6180} \\&=1.9021\end{aligned}\)

Therefore, after evaluation, the resultant value of the function f(2009) is 1.9021.

Know more about functions here:

https://brainly.com/question/29523308

#SPJ4

Interest to be paid daily is $8.68 (E).

To calculate the daily interest, we can use the formula:

Daily Interest = Principal × Interest Rate / Number of Days in a Year

Given that the principal amount is $35,000, the interest rate is 9.05%, and the number of days in a year is 365, we can substitute these values into the formula:

Daily Interest = $35,000 × 9.05% / 365

Calculating this expression gives us:

Daily Interest ≈ $8.68

Therefore, the correct answer is D) $8.68.

Read more about Simple Interest here: https://brainly.com/question/25845758

#SPJ11

The magnitude \(F_{3}\) needed for the resultant \(F_{R}\) to be parallel to \(F_{1}\) is zero. A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects.

To find the magnitude \(F_{3}\) such that the resultant \(F_{R}\) of the three forces is parallel to \(F_{1}\), we can use the method of vector addition. The resultant of the forces \(F_{1}, F_{2}\) and \(F_{3}\) can be expressed as:

\(F_{R} = F_{1} + F_{2} + F_{3}\)

Given the magnitudes of \(F_{1}\) and \(F_{2}\) as \(F_{1} = 66N\) and \(F_{2} = 44N\), and the angle between \(F_{1}\) and \(F_{3}\) as β=149°, we can represent \(F_{3}\) in terms of its components:

\(F_{3x} = F_{3}cos(\beta ) \\F_{3y} = F_{3}sin(\beta )\)

To make \(F_{R}\) parallel to \(F_{1}\), the y-component of \(F_{R}\) must be zero. So we have:

\(F_{1y} + F_{2y} + F_{3y} = 0\\F_{1}sin(0) + F_{2}sin(0) + F_{3y}sin(\beta ) = 0\\\)

Substituting the given values, we can solve for \(F_{3}\):

\(0+0+F_{3}sin(149) = 0\\F_{3}sin(149) = 0\\\\F_{3} = 0\\\)

Therefore, the magnitude \(F_{3}\) is zero for the resultant \(F_{R}\) to be parallel to \(F_{1}\).

The magnitude \(F_{3}\) needed for the resultant \(F_{R}\) to be parallel to \(F_{1}\) is zero.

To know more about  force visit

https://brainly.com/question/12785175

#SPJ11

Answer:   ow where A = total ... b) How much money will Jack have after 5 years? ... Is it monetarily better to invest your.

Missing: Cody ‎| Must include: Cody

Simple Interest.pdfwww.bgreen.kyschools.us › userfiles

The more money being used and the longer it is used for, the ... product of the principal, the interest rate and the time in years. ... 4.) Isabella deposited $500 into a savings account at a local bank that earned 5% ... interest does she earn per year? year ... How much money did he have in the account after 9 months? Total.

Missing: $1400 ‎| Must include: $1400

Compound Interest Calculator - Iowa Trust and Savings Bankwww.iowatrust.bank › calculator › compound-interest

How interest is calculated can greatly affect your savings. ... often interest is compounded, or added to your account, the more you earn. ... Total Return After 10 Years ... for the 10 years ending December 31st 2020, had an annual compounded rate ... It is not possible to invest directly in an index and the compounded rate of ...

Missing: Cody ‎| Must include: Cody

Review Quiz 3.1-3.4 Answer Keywww.mpsaz.org › staff › kweinspahr › class2 › files › k...

4 x 21 € 84 b. How much will he owe the bank after June 8? -1567.28-84 = 1651.28. 3. Dean has a checking account at City Center Bank. During the month of ...

Missing: Cody ‎| Must include: Cody

Compound Interest - Purdue Mathwww.math.purdue.edu › ~penney › InterestTheory

How much would I owe after 3 years? Solution. On May 1, I have had

Step-by-step explanation:

Answer: 540 miles

Step-by-step explanation:

plug in the numbers into the equation

multiply and ta-da

Answer:

540 miles

Step-by-step explanation:

y = 45(12) = 540

The probability their sum is even without replacement is 39/52

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

It is given that if we randomly select 4 numbers from the set of the first 16 prime numbers, without replacement, then the probability that their sum i seven is,

2,3,5,7,11,13,17,23,27,29,31,37,41,43,49,51 are the first 16 prime numbers.

Even numbers are always produced when two odd numbers are joined together.

Odd numbers are always created when Even numbers are added to Odd numbers.

In the list of 16, there is just one even number. If that is one of the options, then the outcome will only be odd. As the same number cannot be selected twice, there is a 15/16 chance that it won't be chosen the first time. There is also a 14/15 chance that it won't be chosen the second time, a 13/14 chance the third time, and a 12/11 chance the fourth time.

By multiplying these four probabilities, we may get the probability of an even sum. The odds of a total that is even are therefore,

32760/43680=39/52=0.75

The probability their sum is even without replacement is 39/52

To learn more about Probability visit:

brainly.com/question/11234923

#SPJ4

Answer:Height:  

15.8  meters

Explanation: For a rectangular prism:  XXX  Volume  =  height  ×  width  ×  depth  and  XXX  Area (of base)  =  width  ×  depth  ⇒  height  =  Volume  Area  =  306.52

19.4  =  15.

Answer:  100 CUBIC METERS

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

triangle ABC:

CA = 10

AB = 8

CB = 6

triangle DEF:

FD = x

DE = 12

FE = y

Step 02:

similar triangles:

10 * 12 = 8 * x

120 = 8x

120 / 8 = x

15 = x

6 * 12 = 8 * y

72 = 8y

72 / 8 = y

9 = y

The answer is:

x = 15

y = 9

Answer: 56.82

Step-by-step explanation:

9.47x6=56.82

Answer: 56.82

Step-by-step explanation:

9.47*6 = 56.82

Answer:

33 hotdogs and 225 drinks on Monday

Step-by-step explanation:

We would use the ratio of 1:3 hotdogs to drinks

Split the ratio in 450 and we get 112.5:337.5

$112.5 would be the earnings of hotdogs

$337.5 would be the earnings of the drinks

Now we divide each individually by its cost

$112.5/3.5

= 32 1/7,

$337.5/1.5

= 225

We will round the hotdogs to 33 as the word problem says "sold enough to make."

Answer:

The answer is 15 - p = k

Answer:

0.5 ≥ x ≥ 0.35

Step-by-step explanation:

Answer:

do 112 - 16x

Step-by-step explanation:

The equation of the parabola is,

⇒ y = - 1/4x² + 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

If a parabola has two x-intercepts, it must be of the form;

⇒ y - k = a (x - h)²

where, (h, k) is the vertex.

Since, it is given that the vertex is (0, 4),

We have that h = 0 and k = 4.

So, the equation becomes

y - 4 = a (x - 0)²

y - 4 = ax²

For a, we use the fact that the parabola passes through point (4,0).

Putting x = 4 and y = 0, we get

y - 4 = ax²

0 - 4 = a (4)²

- 4 = 16a

a = - 1/4

Therefore, The equation of the parabola is,

⇒ y - 4 = (- 1/4)x²

⇒ y = - 1/4x² + 4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ9

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

To find the partial derivative of the function u = sin(x1 2x2 ⋯ nxn) with respect to xi, where i is an integer between 1 and n, we need to use the chain rule. The answer can be expressed as follows: ∂u/∂xi = cos(x1 2x2 ⋯ nxn) * 2ixi * x1 2x2 ⋯ xi-1 2xi-1 xi+1 2xi+1 ⋯ xn.

To explain further, we start by applying the chain rule to u = sin(x1 2x2 ⋯ nxn) with respect to xi. We treat all the variables except xi as constants, so we get:

∂u/∂xi = cos(x1 2x2 ⋯ nxn) * ∂(x1 2x2 ⋯ nxn)/∂xi

Next, we use the product rule to differentiate x1 2x2 ⋯ nxn with respect to xi. We treat all the variables except xi as constants, so we get:

∂(x1 2x2 ⋯ nxn)/∂xi = 2ixi * x1 2x2 ⋯ xi-1 2xi-1 xi+1 2xi+1 ⋯ xn

Substituting this result back into our original equation, we get:

∂u/∂xi = cos(x1 2x2 ⋯ nxn) * 2ixi * x1 2x2 ⋯ xi-1 2xi-1 xi+1 2xi+1 ⋯ xn

Therefore, the partial derivative of the function u = sin(x1 2x2 ⋯ nxn) with respect to xi is cos(x1 2x2 ⋯ nxn) multiplied by 2ixi multiplied by the product of all the variables except xi in the original function.

To learn more about partial derivative click here, brainly.com/question/31397807

#SPJ11

Answer:

A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Step-by-step explanation:

The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.

In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.

Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.

Answer:

D

Step-by-step explanation:

your welcome

Answer:

A. 62 degrees

Step-by-step explanation:

The line m is straight, therefore its value is 180. So, the angle addition postulate tells us that x+118=180. To solve subtract 118 from both sides, x+118-118=180-118, which simplifies to x=62.

Answer:

68×32= 2176

Step-by-step explanation:

The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

To learn more about linear inequalities link is here:

brainly.com/question/11897796

#SPJ4

Answer:

(1/5 mi) / (1/15 hr) = 1/5 * 15/1 = 3 mi/hr

hope this helps

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

10=2(5)

20=2(10)

30=2(15)

40=2(20)

50=2(25)

Therefore, y=2x

The equation of AB the perpendicular bisector of MN is  y - 5x + 18 = 0 .

Line equation appears to be an algebraic description of a set of points in a coordinate system forming a line. The several points on the coordinate axis that compose a line are represented as a set of elements x, y in order to construct an algebraic equation known as an equation of a sector. We may use the equation of practically any line to determine whether or not a given point is on the line.

The line equation is a one-degree linear equation. Let us study more about the many forms of line equations and how to locate them.

The line joins the points (7,4) and (2,5) .

Slope of the line is = 5-4 /2-7 = -1/5

Now the slope of the perpendicular will be 5

Midpoint of the line MN = {(7+2)/2 , (4+5)/2} = (4.5,4.5)

Equation of the perpendicular bisector :

y-4.5=5(x-4.5)

or, y - 9/2 = 5x - 45/2

or, 2y - 9 = 10x -45

or, 2y -10x + 36=0

or, y - 5x + 18 = 0

Therefore the equation of AB the perpendicular bisector of MN is  y - 5x + 18 = 0 .

To learn more about equation visit:

https://brainly.com/question/10413253

#SPJ1

Answer:

(1,-1)

Step-by-step explanation:

The vertex is the minimum point (in this case). That happens when x - 1 = 0. The reason for that is because the absolute value is going to added to minus 1. The absolute value is always plus.

x - 1 = 0

x - 1+1 = 0 + 1

x = 1

So the minimum point is going to be (1,-1)

Here's a graph to help you along.

The condensation reaction of an ester refers to the reaction where an ester molecule is formed by the condensation of an alcohol and an acid, typically a carboxylic acid. The arrangement of correct component to build the condensation reaction of an ester is HOH + HA → H + ester.

To build the condensation reaction of an ester, the correct arrangement of components is as follows:

So the correct arrangement is: HOH + HA → H + ester

To learn more about condensation reaction: https://brainly.com/question/6256866

#SPJ11

Answer:

X = 275 + 95p

Step-by-step explanation:

Hello,

This question requires us to write an expression to find how much he would've saved over a certain period of time.

Initial deposit = $275

Franklin's monthly deposit = $55

Franklin grandmother's deposit = $40

Let the amount he would've saved over a certain period of time p = x

X = 275 + (55 + 40)p

X = 275 + 95p

Eg, how much would he have saved in 5 months

X = 275 + 95(5)

X = 275 + 475

X = $750

I.e in 5 months, he would've saved $750

There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

Learn more about randomly

https://brainly.com/question/4013322

#SPJ4