A farmer with 1700 m of fancy ones to enclose a rectangular plot the borders on a river if no fence is required along the river what is the largest area that can be enclosed?

Answer:

[tex]y=3/2[/tex]

Step-by-step explanation:

[tex]f(t)=\frac{3t^{1/3}}{(64t^2 +4)^{1/6}} \\ \\ =\frac{3}{(64+4t^{-2})^{1/6}} \\ \\ \\ \lim_{t \to \infty} f(t)=\frac{3}{64^{1/6}}=3/2 \\ \\ \\ \lim_{t \to -\infty} f(t)=\frac{3}{64^{1/6}}=3/2 \\ \\ \therefore y=3/2[/tex]

We will investigate how to use the mileage meter of a car to determine the amount of distance a car can travel per given fuel.

Mileage is a economic performance parameter of a car that gives the fuel economy. It is usually expressed as a ratio of:

The mileage of a car is given as follows:

We can say that this car can travel 29.7 miles per gallon on highway.

We now stop at the petrol station for re-fueling. We fuel up the car to:

We need to determine the distance that this car can travel for the amount of re-fueling. This is where we can use the mileage to determine the distance the car can travel as follows:

Plug in the respective quantitites and solve for the distance that the car can travel as follows:

For the amount of re-fueling the distance travelled is 310.365 miles

An equation of the parabola that has the same shape as the graph of f(x) = 4x², but with the point (10,4) as the vertex is y = 4x² - 80x + 404.

             y = a(x - h)² + k  where (h, k) is the vertex.

Given:

f(x) = 4x²

Vertex =  (10,4)

a = 4

The value of a in the vertex form of the equation is taken to be 4 since the coefficients of x² must match for the parabola to have the same shape as the given parabola.

The equation can be written as,

y = a(x - h)² + k  where (h, k) is the vertex.

Replacing the value of the vertex, we get

y = 4(x - 10)² + 4

y = 4(x² - 20x + 100) + 4

y = 4x² - 80x + 400 + 4

y = 4x² - 80x + 404

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They will be parallel because the same transformations have been applied to it

The students were able to identify 16 of the pieces out of 80 which is 20 % in the percentage form.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

The students were able to identify 16 of the pieces out of 80.

We have to determine the percentage of the classical pieces the students identify.

As per the given information, the required solution would be as:

⇒ (16/80) × 100

⇒ (0.20) × 100

⇒ 20 %

Therefore, the percentage of the classical pieces the students identify would be 20 %.

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The amount donated by the person follows a geometric progression, which is given by an exponential function.

First part:

Second part;

An exponential function is one in which the input variable is an index of a constant

A constant rate relationship is one in which at all points of the function, the ratio of the output to input stays the same or is a constant.

The given parameters are;

The Pennies a person plans to donate to the library on each day of the month, is given by the following table;

Day. Amount Donated

1. 1

2 2

3 4

4 8

First part

Required;

If the relationship between the day and the amount donated is a constant rate relationship

Solution;

Given that we have;

1/1 = 2/2 ≠ 4/3 ≠ 8/4, the relationship between the day of the month and the amount donated is not a constant rate relationship

Second part;

The shape of the graph of Day to the Amount Donated

Solution;

The sequence of the day has a constant difference of one day, which is given by the equation;

U = 1 × n

Where;

U = The day of the month

n = The number of days

The sequence for the amount donated is given by the exponential function;

S = a•r^n

Where;

a = The first term = 1

r = The common ratio = 2

U = The number of days

The graph of Amount Donated to the Days is therefore the graph of an exponential function, please see the attached graph of Amount Donated to the Day of the month

The possible questions obtained from a similar question are;

First part; If the amount donated and the days have a constant rate relationship

Second part; The shape of the graph of the Amount Donated to the Day of the month

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Answer:

1:3

Step-by-step explanation:

circles:total

2:4+2

=2:6

=1:3

Reason

There are 2 circles and 4+2 = 6 shapes total.

The ratio of circles to total shapes is 2:6 which reduces to 1:3

The order is important since 3:1 is different from 1:3.

Answer:$11.05

Step-by-step explanation:

Answer:

$11.05 each

Step-by-step explanation:

To find x, the cost between Aisha and her two friends you must divide the total amount by the number of people.

There are three people, her and two friends and the total cost for the pizza is $33.15

$33.15 ÷ 3 = $11.05

The amount in Roxy's table listing of expenses gives the ratio of the items in the pie chart as follows;

Emergency fund; 3.89%

Cell phone; 6.93%

Internet; 4.28%

Rent payment; 76.79%

Transportation; 2.34%

Insurance; 1.17%

Gym membership; 1.97%

Entertainment; 2.73%

The pie chart can then be constructed using those percentage as a proportion of 100

Please see the attached pie chart of the expenses created with Sheets

A pie chart illustrates the numerical proportion of items in a dataset by using a circular graphic that is divided into sector slices

The given values in the question are;

Emergency fund = $50

Cell phone = $89

Internet = $55

Rent payment = $986

Transportation = $30

Insurance = $15

Gym membership = $24

Entertainment = $35

The total cost of the fixed expense is therefore;

$50+$89+$55+$986+$30+$15+$24+$35 = $1284

The proportion of each component in the pie chart is found as follows;

[tex] \displaystyle{Emergency \: fund = \frac{50}{1284} \times 100 \approx 3.89 \%}[/tex]

[tex] \displaystyle{Cell \: phone = \frac{89}{1284} \times 100 \approx 6.93 \%}[/tex]

[tex] \displaystyle{Internet = \frac{89}{1284} \times 100 \approx 4.28 \%}[/tex]

[tex] \displaystyle{Rent \: payment = \frac{986}{1284} \times 100 \approx 76.79 \%}[/tex]

[tex] \displaystyle{Transportation = \frac{30}{1284} \times 100 \approx 2.34 \%}[/tex]

[tex] \displaystyle{Insurance = \frac{15}{1284} \times 100 \approx 1.17 \%}[/tex]

[tex] \displaystyle{Gym \: membership = \frac{24}{1284} \times 100 \approx 1.87 \%}[/tex]

[tex] \displaystyle{Entertainment = \frac{35}{1284} \times 100 \approx 2.73 \%}[/tex]

Using the above percentages, the pie chart can be constructed

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Answer:

[tex]{ \rm{ {x}^{3} + 2xy + 4y - xy + 2x - 11y}} \\ \\ = { \rm{ {x}^{3} + (2xy - xy) + 2x + (4y - 11y)}} \\ \\ = { \rm{ {x}^{3} + 2x + xy - 7y}}[/tex]

Answer:

favorable opinion of Sanders than Hillary Clinton

(38%). Calculate the 90% confidence interval for for Hillary

4m

By definition, a one-to-one function is a function that maps distinct elements of its domain to distinct elements of its codomain.

Graph 1

From this graph, we see that for distinct elements of x, we have the same value of y. For example:So this function is NO a one-to-one function.

• f(2) = f(-2) = 4.

T

Graph 2

From this graph, we see that for distinct elements of x, we have the same value of y. For example:is function is NO a one-to-one function

• f(2) = f(4) = 4.

Th.

Graph 3

From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.

Graph 4

From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.

Graph 5

From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.

Graph 6

From this graph, we see that for distinct elements of x, we have the same value of y.This function is NO a one-to-one function.

• Graph 1: No

• Graph 2: No

• Graph 3: Yes

• Graph 4: Yes

• Graph 5: Yes

• Graph 6: No

The number of cups of broccoli that would be needed for a pound of beef is C. 1 1/2 cup of broccoli per beef.

From the information, it was stated that Tyler was making a meal for his family and that for every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli.

Therefore, the cups of broccoli that would be needed for a pound of beef will be:

3/4/1 = 9/8/x.

where x = cups of broccoli

Cross multiply

3/4x = 9/8

x = 9/8 ÷ 3/4

x = 9/8 × 4/3

x = 3/2

x = 1 1/2cups

Therefore, the correct option is C.

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Answer:

[tex]\textsf{c) \quad $1 \frac{1}{2}$ cups of broccoli per 1 lb of beef}.[/tex]

Step-by-step explanation:

Given information:

Create a ratio of pounds of beef to cups of broccoli, where x is the number of cups of broccoli to one pound of beef:

[tex]\implies \dfrac{3}{4}: \dfrac{9}{8}=1:x[/tex]

[tex]\implies \dfrac{\frac{3}{4}}{\frac{9}{8}}=\dfrac{1}{x}[/tex]

Cross multiply:

[tex]\implies \dfrac{3}{4}x=\dfrac{9}{8}[/tex]

[tex]\implies x=\dfrac{9}{8} \div \dfrac{3}{4}[/tex]

To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:

[tex]\implies x=\dfrac{9}{8} \times \dfrac{4}{3}[/tex]

[tex]\implies x=\dfrac{9 \times 4}{8 \times 3}[/tex]

[tex]\implies x=\dfrac{36}{24}[/tex]

[tex]\implies x=\dfrac{3 \cdot \diagup\!\!\!\!\!\!12}{2 \cdot \diagup\!\!\!\!\!\!12}[/tex]

[tex]\implies x=\dfrac{3}{2}[/tex]

[tex]\implies x=1 \frac{1}{2}[/tex]

Therefore, 1¹/₂ cups of broccoli would be needed to one pound of beef.

The last digits of multiplying 5s and 2s with at least one of each will be zero (0)

From the question, we are to determine what the last digit of the product could be

From the given information,

We are multiplying as many 5s and 2s as we want but we must have at least one of each

Since we must have at least one of each of 5 and 2, we will always have a 5 × 2

But, 5 × 2 = 10

NOTE: 10 multiplied by any number will always result in a number with a last digit of zero (0)

Example

2 × 5 × 2 × 2 × 2 × 2 = 160

5 × 2 × 5 × 5 × 5 × 5 = 6250

Thus, the last the digit of the product will be 0

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The slope of the linear equation that passes through the points (9,1) and (10,−1) is -2.

For a linear equation that goes through two points (x₁, y₁) and (x₂, y₂), the slope is given by the formula:

slope = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that our line goes through the points (9,1) and (10, −1), so we can use these two values in the equation for the line, we will get:

slope = (-1 - 1)/(10 - 9) = -2/1 = -2

So the slope of the linear equation is -2.

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You have the following information:

- Valentina knits 16 cm of scarf each night.

To determine how many night does Valentina need to knit 48 cm of scarf, you simply calculate the quotient between 48 cm and 16 cm, just as follow:

48/16 = 3

Hence, Valentina needs 3 days to knit 48 cm of scarf

She has 3838 shells in her collection after 66 months of gathering. The equation using this data is 33x+33y=1919.

Given that,

Giana has begun to gather seashells. She grows her collection by 66 new shells each month. She has 3838 shells in her collection after 66 months of gathering.

We have to create an equation using this data that models the number of shells y Giana's collection will include after x months in point-slope form.

We can write as

The total number of shells she collected =(The amount of shells she collect each month)×y+(The month of collecting the shells)×x

3838=66y+66x

66x+66y=3838

33x+33y=1919

Therefore, the equation using this data that models the number of shells Giana's collection will include after x months in point-slope form is 33x+33y=1919.

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Answer: give correct answers only or people on here will do the same thing u did to them bozo

Step-by-step explanation:EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

The mathematical question that can be asked in a situation when Dina goes to a carnival and some rides have a height requirement is how many extra centimeters of height Diana has? The information required to solve this question is the required height for the ride and the height of Diana.

According to the question,

We need to ask a mathematical question. Let's solve a mathematical question in the given situation by taking one example.

If the required height to ride is 150 cm and the height of Diana is 165 cm, how many extra centimeters of height Diana has than the required height?

Solution:

Required height = 150 cm

Dian's height = 165 cm

Extra height = Diana's height - required height of the ride

Extra height = 165 cm - 150 cm

Extra height = 15 cm

Hence, in this supposed situation, Diana's height is 15 cm extra than the required height of the ride.

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The input- output table for the total cost of the amusement park charges is made.

For the given question;

The admission charge of the amusement park = $15 (including 5 rides).

For extra rides $1.50 per ride.

Let r be the total rides.

Let n be the extra rides above 5 rides.

Let C be the total cost of the ride.

Then, the liner equation forming the condition is;

C = 1.5n + 15.

For n = 1, 2 , 3...

The value of C will be determined.

Thus, the input- output table for the total cost of the amusement park charges is made.

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The sum to infnity of the series is;

Here, we want to find the sum to infinity of the given geometric series

We have this as follows;

a is the first term which is 800

The common ratio is r and it is the second term divided over the first or the third over the second

We have this as;

Substituting these values, we have it that;

Consider that the slope-intercept of a line is given by,

Here, 'm' is the slope and 'c' is the y-intercept of the line.

The equation of the given line is,

Comparing the coefficients, it can be observed that the slope of the given line is -2,

It is asked to determine the equation of line perpendicular line to this given line.

Let the slope of this perpendicular line be 'k'. Then, the equation of this perpendicular line will take the form,

Theorem: The product of slopes of perpendicular lines is -1.

Now, the equation becomes,

Consider that any point lying on the line must satisfy the equation of that line.

So the point (6,2) must also satisfy the equation of the perpendicular line,

Substitute the values of 'k' and c' in the equation,

Thus, the required equation of the line is obtained as,

Answer:0.07142857142

Step-by-step explanation:

0.07142857142 because 1/2/7= or .5/7=0.07142857142

.5= how much paint

7= how many tables that are needed to be filled

0.07142857142= how much paint

each table will receive

The probability that, in a random sample of 50 customers at Anita's, exactly 3 order their food to go is 0.3240

Probability:

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes.

Given,

Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita reports that 48% of its customers order their food to go.

Here we need to find the probability that, in a random sample of 50 customers at Anita's, exactly 3 order their food to go.

Let us consider this as,

Binomial Problem with

n = 5 and

By converting the percentage into decimal value,

=> 48/100 = 0.48

p(to go) = 0.48

Then the value is,

P(x=3) = 5C3(0.52)^3*(0.48)2

P(x=3) = 0.3240

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ANSWER:

A. The midline of the function is y = 2

STEP-BY-STEP EXPLANATION:

we can determine the answer from the graph, just like this:

Therefore, the only correct option is A. The midline of the function is y = 2

The parametric equations for this problem are given as follows:

31. [tex]x = t, y = \sqrt[3]{t} + 1[/tex].

35. x(t) = -1 + 3t, y(t) = 5 - 2t.

For item 31, the parent function is the cube root function, defined as follows:

[tex]y = \sqrt[3]{x}[/tex]

From the graph of the function, it was translated two units up, hence it is defined as follows:

[tex]y = \sqrt[3]{x} + 2[/tex]

We want to parametrize the equation as a function of t, hence:

A linear function is parameterized as follows:

The initial point of the function, at t = 0, is (-1, 5), hence:

x(0) = -1, y(0) = 5.

After 1 second, they moved to point (2,3), hence the coefficients are given as follows:

Thus the parameterized equations are given as follows:

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Explanation

Step 1

set the equation

a) let x represents the number

b) now , translate

then

finally

therefore, the equation is

3x+6=12

Step 2

now, solve the equation

The subtraction property of equality states that if the same number is subtracted from both sides of an equation, then the equality still holds, so we can subtract 6 in both sides in order to isolate the term where x is, hence

finally, apply the division property of equality and divide both sides by 3

so, the number is 2

I hope this helps you

The equation of the parabola having focus (1,1) and directix y = -1 is

y = x²/4 - x/2 + 1/4

The focus of the parabola (h , k + p) = (1,1)

The directrix of the parabola is y = -1

From, the focus

           k + p = 1

           k = 1 - p

The formula of directrix is

              y = k - p                                                    (1)

Substituting the value of directrix and k

              -1 = 1 -p -p

              -1-1 = -2p

               -2 = -2p

               p = 1

Substituting the value p in equation (1)

                k = 0

Now, we have got the vertex of the parabola (h ,k) is (1,0)

The equation of the parabola is

    (x-h)² = 4p (y - k)

     (x - 1)² = 4 (1) (y - 0)

     ( x -1 )² = 4(y )

     x² - 2x + 1 = 4y

     x²/4 - 2x/4 + 1/4 = y

    y = x²/4 - x/2 + 1/4

which is the equation of the parabola.

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The graph shown have roots of x = -2 and x = 5

We could solve for x in each of the quadratic equations or we could plot the graphs of each of the quadratic equation.Then we pick the one with the roots of -2 and 5.

Plotting the graphs:

The roots of quadratic functionis the value of x when y is equal to zero.

From the graph attached above, f(x) = x² + 3x – 10 representing the blue parabola has roots of (-5, 0) and (2, 0).

This means the roots are -5 and 2.

Hence, the function in the graph is f(x) = x² + 3x – 10

The final amount is

Here,A=400, R=5%, N=4,T=7. We have to find the principal.Substituting the values,

Therefore, the money earned by Kelsey doing odd jobs​ is 282.48.