please help me please help me please help me please help me please help me please help me please​

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

To determine the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\), we need to consider the situation and the constraints given.

The function A(t) represents the area of the rectangular garden as a function of the length of one of its sides, which is denoted by t.

We are also told that Marama plans to fence the garden with 28 feet of wired fencing.

Now, let's break down the problem and find the appropriate values for the domain.

We know that the perimeter of a rectangle is the sum of all its sides. In this case, since we have a rectangular garden, the perimeter can be represented as:

\(Perimeter = 2t + 2w\),

where t is the length of one side (the width) and w is the length of the other side (the width).

The problem states that Marama plans to use 28 feet of wired fencing. Therefore, the perimeter of the garden must equal 28 feet:

\(2t + 2w = 28\).

Simplifying this equation, we have:

\(t + w = 14\).

We can express w in terms of t as \(w = 14 - t\).

The area of a rectangle is given by the product of its length and width:

\(Area = t \times w\).

Substituting the expression for w from step 2, we have:

\(A(t) = t \times (14 - t)\).

Simplifying further:

\(A(t) = 14t - t^2\).

To determine the appropriate values of the domain, we need to consider the context of the problem. Since we are dealing with a physical garden, both the length and width must be positive numbers. Additionally, the values of t must be feasible given the constraints of the perimeter.

We know that \(t + w = 14\), so \(t + (14 - t) = 14\), which simplifies to \(14 = 14\).

This shows that the value of t can range from 0 to 14, inclusive.

Therefore, the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\) are \(t \epsilon [0, 14]\).

To illustrate this graphically, we can plot the function \(A(t) = -t^2 + 14t\) and mark the appropriate values of the domain on the x-axis (representing t):

   ^

   |

A(t)|

   |

   |_______________________________

   0              t             14

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

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Answer: The answer is C.

Step-by-step explanation: This is because when you solve you get y=1/10x+6.5 this graph runs through the point (5,7) and is perpendicular to y=-10x+1. In order for two equations to be perpendicular their slopes will be the opposite.

Darren needs approximately 49 feet of tape.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

P = 2(L + W)

P = 2(10 + 8)

P = 2(18)

P = 36 feet.

In Mathematics and Geometry, the perimeter of a semicircle can be calculated by using this mathematical equation:

P = 2(π × radius)

P = 2(3.14 × 8/4)

P = 2(6.28)

P = 12.56 feet.

Approximate length of tape = 12.56 feet + 36 feet

Approximate length of tape = 48.56 ≈ 49 feet.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: x = - 1/3 y^2 + 1/3

Step-by-step explanation: coz I juss know

Answer:

No (not a function)

Step-by-step explanation:

Begin by isolating the y-term to find

−3x−y2−y2y2=−1=3x−1=−3x+1

For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have

y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5

We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.

After simplifying an equation the value of x is x = 3.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

Consider, the given equation

     5(2x - 4) = 10

      10x - 20 = 10                                  Removing parenthesis

10x -20 + 20 = 10 + 20                         Adding 20 on both sides

              10x = 30                                 Simplifying

                  x = 3                                    Dividing both sides by 10

Hence, the value of x is, x = 3.

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Time cross-sectional data is data collected from a sample of subjects at a single point in time.

This data can be used to measure the characteristics of a population at a given point in time. For example, a population can be surveyed to measure the percentage of people who own a car, the median age of the population, or the percentage of people who have a college education.

Time series data is data collected from the same sample of subjects over a period of time. This data can be used to measure the changes in a population over time. For example, a population can be surveyed to measure the percentage of people who own a car over a five-year period, the median age of the population over the same five-year period, or the percentage of people who have a college education over the same five-year period.

Time controlled data is data collected from the same sample of subjects at different points in time but with a controlled variable. For example, a survey can be conducted to measure the percentage of people who own a car at the start of the school year, the median age of the population at the start of the school year, and the percentage of people who have a college education at the start of the school year in different cities.

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Answer:

5/12

Step-by-step explanation:

Change the denominator of 6 to 12.

2 x 2 = 4

6 x 2 = 12

Find out how much gallon of milk was drank.

12/12 - 3/12 = 9/12

Find out how much the milk was drank after deducting how much Anna drank.

9/12 - 4/12 = 5/12

Answer:

why is there only 5 points?

Step-by-step explanation:

Answer:

There are 24 pieces of fruit in the basket.

Step-by-step explanation:

There are 24  pieces of fruit in the basket because to find how many there are you would do \(\\ \frac{6}{5\\}\\ \\\) · \(\frac{5}{6}\)f = 20 · 6/5 times 5/6 cancels out, and 20 time 6/5 is 24. 20/24 can also simplify to 5/6.

Hope this helps!

(Make sure to stream ON, Black Swan. Boy With Luv, Mic Drop, and etc.!)

Georgia will need \(\(\boxed{333}\)\) square inches of cardboard to construct the square pyramid.

To calculate the amount of cardboard needed to construct the square pyramid, we need to find the surface area of each individual face and then add them together.

Given that the base of the pyramid is a square with side length \(\(b = 9\) inches\) and the height of the triangular sides is \(\(a = 14\) inches\), we can proceed as follows:

The surface area of the square base is \(\(b^2 = 9^2 = 81\)\) square inches.

Each triangular face has a base equal to the side length of the square base, \(\(b = 9\) inches\), and a height of \(\(a = 14\) inches\). Therefore, the surface area of each triangular face is \(\(\frac{1}{2} \times b \times a = \frac{1}{2} \times 9 \times 14 = 63\)\) square inches.

Since there are four triangular faces in a square pyramid, the total surface area of the triangular faces is \(\(4 \times 63 = 252\)\) square inches.

Adding the surface area of the square base and the total surface area of the triangular faces, we get \(\(81 + 252 = 333\)\) square inches.

Therefore, Georgia will need \(\(\boxed{333}\)\) square inches of cardboard to construct the square pyramid.

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Answer:

Hope the picture will help you

The total quantity of the three spices is 7/8

A recipe has three spices

1/8 teaspoon of turmeric

1/4 teaspoon of ginger

1/2 teaspoon of cumin

The total quantity of the three spices can be calculated as follows

1/8 + 1/4 + 1/2

= 7/8

Hence the total quantity of the three spices is 7/8

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Answer:

20 kilograms or every hour 5 kilograms of dough.

Step-by-step explanation: Just divide every hour by kilograms of dough.

Answer:

(gof)(-3) = 2

Step-by-step explanation:

gof= 2(2x^2 + 10x + 13)

With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

Step-by-step explanation:

Calculate the slope for both companies (1 and 2) by picking two points from the table for each company and then determine the "Rise/Run."  

The costs for both companies:

                 Cost ($)      

Shirts         1 f(x)       2 g(x)

  5           117.75       51.75

15          159.25    115.25

Rise            41.5       51.75

Run            10          10    

Rise/Run    4.15         6.35

The slopes of these lines are 4.15 and 6.35

Comp. 1:  y = 4.15x + b

Comp. 2:  y = 6.35x + b

Strangely, both equations have a b that is not zero.  This means that, mathematically, there is a cost for doing 0 shirts.  Only in America.

One can see this issue by looking at the difference in cost for the first 5 shirts compared to the second set of 5.  For Company 1, the first 5 is $117.75, but the second 5 brings us to only a total of $138.50 - a difference of only $20.75.  Same with Company 2.  The first 5 shirts costs much more than the second five.  The third set of 5 shirts (10 - 15) is consistent with the increase with the second set (5-10).

While this doesn't make sense, we must assume there is an initial starting charge, which will be the value of b in the y=mx+b format.

Top calculate b in both equations, enter one of the data points (e.g., (5,117.8) for company 1, and (5,51.75) for company 2 and solve each equation for b.

The results will given these equations:

Company 1:   f(x) = 4.15x + 97,   and

Company 2:  g(x) = 6.35x + 20

Take one shirt into company 1 and you're out $97 before paying for the one laundered shirt.  $20 for Company 2.

But each company has a different shirt price:

Company 1:  $4.15/shirt

Company 2:  $6.35/shirt

We can find the point at which both companies charge the same for x number of shirts by setting the equations equal to each other [i.e., their costs are the same] and solving for x:

4.15x + + 97 = 6.35x + 20

x = 35 shirts

At 35 shirts, both companies will charge $242.30

We can also graph the two equations to find their intersection (both have the same cost).  The graph also highlights the absurdity of interpreting anything under 1 shirt.  So the range of the functions is x ≥ 1.

See attachment.

The option (3) is correct Therefore, the two lines represented by the given equations are parallel.

A linear equation in one variable is an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution. For example, 9x + 78 = 18 is a linear equation in one variable.

According to question rewrite the second equation as y = 5/2x + 6, by adding 5/2x to both sides of the equation.

Comparing the two equations, we see that they both have the same slope of 5/2.

Since the slopes are equal and the y-intercepts are different, the two lines cannot be the same.

If two non-vertical lines have the same slope, they are parallel. Therefore, the two lines represented by the given equations are parallel.

The answer is (3) parallel.

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Answer:

28.1 - (-6.5) = 34.6

Step-by-step explanation:

Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6

Answer:

yeah it is 34.6

Step-by-step explanation:

Answer:

2.5m

Step-by-step explanation:

Using the adjusted accounting profits method.

Operating cash flow = After - tax profit + Depreciation. .......... ( 1 )

Given that :

* depreciation expense = $1 million

* Sales generated $7 million

* Tax rate = 25%

Tax rate = 25/100

= 0.25

From equation 1

= ( 7m - 4m - 1m ) ×( 1 - 0.25 ). + 1m

= ( 7m - 5m ) × ( 0.75 ) + 1m

= 2m × 0.75 + 1m

= 1.5m + 1m

= 2.5m

The firm operating cash flow = 2.5m

Answer:

3x* 2x^2 +3x*5 -2 * 2x^2  -2 *5

Step-by-step explanation:

(3x-2)(2x^2+5)

We can FOIL to find the expansion

First 3x* 2x^2 = 6x^3

Outer 3x*5 = 15x

Inner -2 * 2x^2 = -4x^2

Last -2 *5 = -10

Add all the terms together

3x* 2x^2 +3x*5 -2 * 2x^2  -2 *5

Answer:

3x • 2x^2 + 3x • 5 + (–2) • 2x^2 + (–2) • 5

Step-by-step explanation:

other answer was right

Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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The quotient is 2x² + 3x + 2 and the remainder is -32x - 13.

We have,

We can use long division to divide f(x) by p(x) as follows:

x² - 3 | 2x^4 - x³ - 7x² + 7x - 13

           - (2x^4 - 0x³ + 6x²)

               ---------------------

                       - 13x² + 7x

                       - (-13x² + 39x)

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

                                     -32x - 13

The quotient is 2x² + 3x + 2 and the remainder is -32x - 13.

We can write the division in the form:

f(x) = p(x) x q(x) + r(x)

where p(x) is the divisor, q(x) is the quotient, and r(x) is the remainder. In this case, we have:

f(x) = (x² - 3) x (2x² + 3x + 2) - (32x + 13)

This means that we can write f(x) as the product of p(x) and q(x), plus the remainder r(x).

Thus,

The quotient is 2x² + 3x + 2 and the remainder is -32x - 13.

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Answer: f(x)=2^x+5

Step-by-step explanation:

math

a)  The students in the key club are 48students.

b)  The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4

The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.

Given,

The number of echo beach trips are 5,6,8,9,12,14.

And also given that the frequencies are 8,7,11,15,3,4

a) The students in the key club are,

∑\(F_{i}\)=8+7+11+15+3+4

=48

∑\(F_{i}\)=48

Therefore, the students in the key club are 48students.

b) Mean= ∑\(X_{i}\)\(F_{i}\)/∑\(F_{i}\)

=397/48

=8.27≈8.3

Therefore, Mean=8.3

Total number of observations=48

Here, it is an even number

\((48/2)^{th}\)  \(24^{th}\)position and \(((48+2)/2)^{th}\) or \(25^{th}\) position

X                      5       6            8                 9                     12              14

F                       8        7           11                 15                    3                 4

position           8    8+7=15   15+11=26    26+15=41         41+3=44    44+4=48

The value of X at  \(24^{th}\) position is 8 and  \(25^{th}\) position is also 8

Then, Median=(8+8)/2

=8

Therefore, Median=8.3

Mode= Highest frequency corresponding to X value

=9

Therefore, Mode=9

Range=Highest value-Lowest value

=14-5

=9

Therefore, Range=9

Variance=∑\(F_{i}\)(\(X_{i}\)-\(\bar{X}\))/∑\(F_{i}\)

=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²

=87.12+37.03+0.99+7.35+41.07+129.96

=303.52

Therefore, variance=303.52

Standard deviation=√variance

=√303.52

=17.4

Therefore, standard deviation=17.4

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The domain of the graph is [0,14] and the range of the graph is [0, 7]

In this question, we have been given a graph of height of a falling object.

In this graph, x-axis represents the time in seconds and y-axis represents the height in meters.

We know that, the domain of a graph consists of all the input values which are on the x-axis and the range is the set of possible output values, which are shown on the y-axis.

In this graph we can see that the input (time) takes the values between [0, 14] and the output (height) has values in the interval [0, 7]

Therefore, the domain of the graph is [0,14] and the range of the graph is [0, 7]

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

The correct answer is

reciprocal, cancel

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer: There is no sufficient evidence to support the claim that loaded die behaves differently than a fair die

Step-by-step explanation:

Find explanations in the attached file