Cameron has 14 feet of fence available to build a rectangular fenced in area if the width of the rectangle is X feet and the length would be a 1/2 ( 14 - 2x ) A function to find the area in Square feet of the fenced in rectangle with with X is given by F (x ) = 1/2x (14-2x ) Find and interpret the given function values and determine appropriate domain for the function

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step:ex:pla:nation

In order to meet weekly demand 95% of the time, the store should have 90 widgets at the beginning of the week.

To meet weekly demand 95% of the time, we need to calculate the z-score for the 95th percentile, which is 1.645.
Next, we use the formula:
x = μ + zσ
where x is the number of widgets needed, μ is the average weekly sales (60), z is the z-score (1.645), and σ is the standard deviation (18).
Plugging in the values, we get:
x = 60 + 1.645(18)
x = 60 + 29.61
x = 89.61
Rounding up to the nearest whole number, the store should have 90 widgets on hand at the beginning of the week to meet weekly demand 95% of the time.

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Answer:

D.$50

Step-by-step explanation:

Ten percent of 50 gives 5 dollars. 50 plus 5 is 55.

Answer:

The answer is D, $50

Step-by-step explanation:

10% of 50 gives 5 dollars.

50 + 5 = 55.

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Therefore, the probability of rolling at least one 3 is11/ 36.

Probability is a branch of mathematics that deals with the study of arbitrary events and their liability of circumstance. It involves the dimension and analysis of the liability of various events being. The probability of an event is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

In other words, probability is the measure of the liability of an event being. It's calculated as the rate of the number of favorable issues to the total number of possible issues. Probability plays an important part in various fields analogous as wisdom, engineering, finance, and statistics, and is used to model and predict issues of uncertain events.

a) The sample space of rolling two six- sided bones can be listed as follows, where each ordered brace represents the outgrowth of the two rolls

\({(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),\)

\((2,1), (2,2), (2,3), (2,4), (2,5), (2,6),\)

\((3,1), (3,2), (3,3), (3,4), (3,5), (3,6),\)

\((4,1), (4,2), (4,3), (4,4), (4,5), (4,6),\)

\((5,1), (5,2), (5,3), (5,4), (5,5), (5,6),\)

\((6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}\)

b) There are 6 possible issues where Lydia rolls couple of the same number (,1), (,2), (,3), (,4), (,5), and (,6). Since there are 36 total possible issues, the probability of rolling a brace of the same number is6/36, which simplifies to1/6.

c) To calculate the probability that at least one number will be a 3, we need to count the number of issues in which at least one bones shows a 3, and peak by the total number of issues. There are 11 issues in which at least one bones shows a 3(,1), (,2), (,4), (,5), (,6), (,3), (,3), (,3), (,3), (,3), and(,3). therefore, the probability of rolling at least one 3 is11/36.

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≈≈≈Answer:

Step-by-step explanation:

To calculate the total amount Karl will pay to the bank, we need to find the monthly payment and then multiply it by the total number of payments over three years.

First, we need to calculate the monthly interest rate. Since the loan is compounded monthly, we divide the annual interest rate by 12:

Monthly interest rate = 7.25% / 12 = 0.006041667

Next, we need to calculate the total number of payments Karl will make over the course of the loan. Since he will be making monthly payments for three years, there will be a total of:

Total number of payments = 3 years x 12 months/year = 36 payments

To calculate the monthly payment, we can use the formula for the present value of an annuity:

Monthly payment = P * (r / (1 - (1 + r)^(-n)))

where P is the principal amount (in this case, $5000), r is the monthly interest rate, and n is the total number of payments.

Plugging in the values, we get:

Monthly payment = \(5000 * \frac{0.006041667}{(1-(1+0.006041667^{-36} )} = $154.96\)

Finally, we can calculate the total amount Karl will pay to the bank by multiplying the monthly payment by the total number of payments:

Total amount paid = Monthly payment x Total number of payments = $154.96 x 36 = $5,578.56

Therefore, the total amount Karl will pay to the bank is $5,578.56

Answer:

His total cost is $564.68

Step-by-step explanation:

333.75 + 134.87 + 67.89 = 536.51

536.51 x 0.0525 = 28.17

536.51 + 28.17 = 564.68

Answer:

-51

Step-by-step explanation:

5x + 3y -7z = 5 x 4 + 3 x -5 - 7 x 8

= 20 - 15 - 56

= -51

Answer:

This is your answer ☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

The acute angle formed by the chord line of a wing and the relative wind is known as the "angle of attack."

A angle about which relative air meets an aerofoil is defined as the Angle of Attack.

Some key features regarding the angle of attack are-

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Answer:

45 in^2

Step-by-step explanation:

Area of parallelogram = base x height=15x3=45in^2

Answer:

WALA KANG JOWA HEHEHEHEHEHEHEHEHEHEHEHEHEHE

Answer:

The question appears unsolvable.

Step-by-step explanation:

Answer:

gfngfnhfggcf

Step-by-step explanation:

ghfmncg

Answer:

1/3

Step-by-step explanation:

This is about the interpretation of the graph

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

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Answer:

1) \(x=15, y=41\)

2) \(x=6, y=24\)

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means \(5x-5=4x+10\).

We can add \(5\) to both sides to get \(5x=4x+15\).

We can then subtract \(4x\) from both sides to get \(x=15\).

We know that the \((5x-5)+(6y-4)=180\)  because they both lie on a straight line.

We can plug in for \(x\) to get \((5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180\).

We can divide both sides of the equation by \(6\) to get \(y-11=30\).

We then add \(11\) to both sides to get \(y=41\).

So, \(\boxed{x=15, y=41}\) and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to \(180^{\circ}\), we have that \(90+3y+18=180\).

We can subtract a \(90\) and an \(18\) from both sides to get \(3y=72\).

We then divide both sides of the equation by \(3\) to get \(y=24\).

We do the same thing for \(x\). On the other side of the trapezoid, we have that \(15x+30+10x=180\).

We combine like terms on the left side to get \(25x+30=180\).

We subtract a \(30\) from both sides to get \(25x=150\).

We divide both sides of the equation to get \(x=6\).

So, \(\boxed{x=6, y=24}\) and we're done!

Answer:

18

Step-by-step explanation:

0.5(w) + 3x

0.5(6) + 3(5)

= 18

Answer:

7 people sharing 2 bags

Step-by-step explanation:

Step 1:

5/3 = 10/6

Step 2:

7/2 = 21/6

Answer:

7 people sharing 2 bags

Hope This Helps :)

Question isn't complete so we assume you wish to solve the equation above

`x-0.1x+2.70=56.70

Answer:

Step-by-step explanation:

To solve this equation

x-0.1x+2.70=56.70

We first find like terms and then subtract both sides of the equation

x-0.1x+2.70=56.70= 1x-0.1x+2.70=56.70

Add like terms

0.9x+2.70=56.70

Subtract both sides of equation

0.9x=56.70-2.70

Divide both sides

0.9x=54

x=54/0.9

x= 60

The periodic solutions of the system are:

(0, 0),

(±√2, ±√2).

These points represent periodic orbits in the phase space of the system.

To determine the periodic solutions, if any, of the system:

ẋ = yx^p(x^2y^2 - 2),

ẏ = -xy^p(x^2y^2 - 2),

we need to find values of x and y for which the derivatives ẋ and ẏ are equal to zero simultaneously. These points represent potential periodic solutions.Setting ẋ = 0 and ẏ = 0, we have:

0 = yx^p(x^2y^2 - 2),

0 = -xy^p(x^2y^2 - 2).

From the first equation, we can see that either y = 0 or x^2y^2 - 2 = 0.

If y = 0, then the second equation implies that x = 0. Therefore, (0, 0) is a solution.

If x^2y^2 - 2 = 0, then x^2y^2 = 2.

Taking the square root of both sides, we get xy = ±√2.Considering the second equation, we have -xy^p(x^2y^2 - 2) = 0.

Substituting xy = ±√2, we find that this equation holds true.

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 4224 hours   integer represents the average temperature per hour change during the 8 hours.

What is the short definition of temperature?

the temperature dropped  = 528 degrees

total time = 8 hours

the average temperature per hour change during the 8 hours = 528  * 8

                                                                                 =        4224 hours

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Multiplication of given polynomials = x³ + 3x² - 22x - 2

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer.

Given,

(x + 6) ( x ^2 - 3x - 4)

Using distributive property

x( x ^2 - 3x - 4) + 6( x ^2 - 3x - 4)

Again using distributive property

x³ - 3x² - 4x + 6x² - 18x - 24

Adding like terms

x³ + 3x² - 22x - 2

Hence, x³ + 3x² - 22x - 24 is multiplication of given polynomials.

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Answer:

C= K-273.15

Since you're adding 273.15 to celsius to get kelvin, you basically just to the reverse of that.

Answer:

When they get their hair cut it will be 69 inches long. It would take 23 months for both.

Step-by-step explanation:

1x3=3

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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The height of the ladder is 37.85 ft.

What is Trigonometric ratios?

Trigonometric ratios are ratios that relate the sides of a right triangle to its angles. There are three primary trigonometric ratios, which are commonly referred to as "trig ratios". These ratios are:

From trigonometric ratios, tan(A) = opposite / adjacent.

Here we have a ladder leans against the side of a house.

The angle of elevation of the ladder is 65° when the bottom of the ladder is 16 ft. from the side of the house.

This scenario can be converted as right angle triangle as shown in the picture

As we know from Triagonometric ratios

=> tan(A) = opposite / adjacent

=> tan (65) = L/16  

tan(A) = opposite / adjacent

tan(65) = H / 16

H = 16 tan(65)

H = 16 (2.1445)

H = 34.31 ft

Using the Pythagorean formula,

L² = H² + 16²

L² = (34.31)² + (16)²

L² = 1433.36

L ≈ 37.85 ft

Therefore, the height of the ladder is 37.85 ft.

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Check the picture below.

so we know it has a vertex at (2 ,3 ) and it also passes through (-2 , -1), then

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=2\\ k=3\\ \end{cases}\implies y=a(~~x-2~~)^2 + 3\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases}\)

\(-1=a(-2-2)^2 + 3\implies -4=a(-4)^2\implies -4=16a \\\\\\ \cfrac{-4}{16}=a\implies -\cfrac{1}{4}=a\hspace{10em}\boxed{y=-\cfrac{1}{4}(x-2)^2 + 3}\)

Answer:

sorry

Step-by-step explanation:

sorry it is too hard to explain and I don't know how to solve it

Answer:

I’m in classss

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

whatup its bruce i am still deeply in love with you

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation