along a river is to be fenced. suppose that no fence is needed along the river, the fence on the side opposite the river costs $40 per foot, and the fence on the other sides costs $10 per foot. if the field must contain 64,800 square feet, what dimensions will minimize costs?

Lamp that can be bought with $12 is 21

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

How is the unitary method divided?

This can be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees. In order to determine the value of one unit, we essentially divide the total value of a set of items by the number of units. The unitary approach is this.

Given that

Kwai bought 15 lamp for $8.25

$8.25 = 15 lamp

$1 = 15/8.25

$12 = (15/8.25)*12 = 21 approx.

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Answer:

Probably b or c. Not great with probabilities.

The probability that their score is at least  P(X> 555.3) = 0.8275

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

Here, we have

Let x denotes the score of a man.

standard deviation (σ) = 104

mean (μ) = 507

If 1 of the men is randomly selected, find the probability that his score is at least 553.5 will be :-

P(X > 553.5) = 1 - P(X ≤ x)

= 1 - P{((x - μ)/σ) ≤ (553.5 - 507/104)}

= 1 - P(z ≤ 0.447)

= 1 - 0.1725

= 0.8275

Hence, the probability that their score is at least  P(X> 555.3) = 0.8275

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Answer: i think its -18

Step-by-step explanation:

5*(4-9*2)-2*(3*2+4)+7

= 5*(4-18)-2*(3*2+4)+7

= 5*(-14)-2*(3*2+4)+7

= 5*-14-2*(3*2+4)+7

= 5*-14-2*(6+4)+7

= 5*-14-2*(10)+7

= 5*-14-2*10+7

= -70-2*10+7

= -70-20+7

= -90+7

= -83

The constant of proportionality for each table are 5, 2/3, 4, 1/5, 3, 2 and 1/2 while that of the equations are 1/8, 1/3 and 3/2

The constant of proportionality is the ratio of the y value to the x value i.e.

constant of proportionality(k) = y/x

To find the constant of proportionality for each table, just pick any non-zero corresponding x and y values on the table and find the ratio:
Using constant of proportionality(k) = y/x

1.  y/x = 5/1 = 5

2.  y/x= 4/6 = 2/3

3. y/x = 2/0.5 = 4

4. y/x= 2/10 = 1/5

5. y/x = 9/3 = 3

6. y/x = 8/4 = 2

7.y/x = 6/12 = 1/2

For the equations, just rewrite the equations in order to make y/x the subject:

8. y =1/8 x

y/x = 1/8

9. 6y = 2x

y/x = 2/6 = 1/3

10. 4y = 6x

y/x = 6/4 = 3/2

Therefore, the constant of proportionality for each table and equation are 5, 2/3, 4, 1/5, 3, 2, 1/2 and 1/8, 1/3, 3/2 respectively

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Using exponents, the resultant expression after simplification is 81x⁸y⁴.

So, the expression is:

Now, simplify the power as follows:

Therefore, using exponents, the resultant expression after simplification is 81x⁸y⁴.

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Answer:

16

Step-by-step explanation:

40/5 then x the answer by 2 and you get 16 with now deposits or withdraws

The solution to the equations is y = -7

From the question, we have the equation to be given as

3x - 2y = 5

The above equation is a linear equation

The domain or the replacement set is given as

{-3}

Rewrite properly as

Domain  = {-3}

or

x = -3

So, we replace the variables using the elements in the replacement set

When x = -3, we have

3 x -3 - 2y = 5

Evaluate the products

This gives

-9 - 2y = 5

Add 9 to both sides

-2y = 14

Divide both sides by -2

y = -7

So, we have

x = -3 and y = -7

Hence, the solution to the equation is y = -7

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Answer:

Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.

One-sided confidence interval which have the smallest margin of error.

Given that;

Researchers want to decrease the margin of error by adjusting the confidence level.

You cannot be completely certain of the true value of a parameter, such as the mean, if your confidence interval is too broad. However, there are a number of methods you may do to narrow a confidence interval and improve the accuracy of your estimate. The following characteristics have an impact on the confidence interval's width.

one-sided confidence interval:

The margin of error is lower for a one-sided confidence interval than a two-sided confidence interval. A one-sided interval, however, merely shows whether a parameter is larger or less than a cut-off number. A one-sided interval does not reveal anything regarding the parameter's value when viewed from the other direction. Therefore, only use a one-sided confidence interval to boost an estimate's precision when you are concerned that it will either be higher or lower than a cut-off value, but not both.

Hence, we use one-sided confidence interval which have the smallest margin of error.

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The solution to the system of equations y = x − 5 and y = 5x − 17 is x = 3 and y = -2

The system of equations is given as

y = x − 5

y = 5x − 17

Substitute y = x − 5 in the equation y = 5x − 17

So, we have

x - 5 = 5x − 17

Evaluate the like terms

4x = 12

Divide both sides by 4

x = 3

Substitute x = 3 in y = x − 5

y = 3 − 5

So, we have

y = -2

Hence, the solution is x = 3 and y = -2

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Answer:

SAS

Step-by-step explanation:

∠CBA ≌ ∠DBA are equal by SAS

Answer:

-73 +n

the first term is -73+1

the secound is -73+2

and so on

Answer:

[tex]a_{n}[/tex]= n - 73

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 71 - (- 72) = - 70 - (- 71) = - 69 - (- 70) = 1

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 72 and d = 1 , then

[tex]a_{n}[/tex] = - 72 + 1(n - 1) = - 72 + n - 1 = n - 73

Answer:

8p - 9

Step-by-step explanation:

→ Expand brackets

6p - 15 + 2p + 6

→ Collect like terms

8p - 9

The amount that Kylie make as a salary after 3 years working for the company is $76000.

Her salary after t years will be 67000 + 3000t.

In this situation, Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000 every years.

Her salary after three years will be:

= $67000 + ($3000 × 3)

= $67000 + $9000

= $76000

Her salary after t years will be:

= 67000 + (3000 × t)

= 67000 + 3000t

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The value of the inequality when the sum of two consecutive integers is less than -9 is x < - 5.

It is vital to note that an inequality simply shows that the expressions aren't equal.

In this case, the sum of two consecutive integers is less than -9.

Let the integers be x and x + 1.

Therefore, x + x + 1 < -9

2x + 1 < -9

Collect like terms

2x < -9 - 1

2x < -10

Divide

x < - 10 / 2

x < - 5

The value is x < - 5.

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The equation of the function graphed for 0 ≤ x ≤ 360 is

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation that took place in the graph is of two types namely

The translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest

The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.

The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached

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The number of ribbons needed is 73

The number of ribbons to buy is 109. 5

A function can be described as an expression or rule that explains the relationship between two main variables in an equation.

These variables are called;

We have the expression;

N = 10p + 3

Where 'p' represents the number of presents

N is the number of ribbons

Now, let's substitute the value of p as 7

N = 10(7) + 3

N = 70 + 3

N = 73 ribbons

If 10 feet = 73 packages

15 feet = x

cross multiply

x = 73(15)/10

x = 109. 5 ribbons

Hence, the value is 73

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Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

The null and alternative hypothesis of the pctrush are explained below.

Given that;

By performing a partial F-test;

In hypothesis testing, the F test is a statistical test that is used to determine whether or not the variances of two populations or two samples are equal. The data in a f test follows a f distribution. In this test, two variances are divided and compared using the f statistic. Depending on the problem's characteristics, a f test can be either one- or two-tailed.

The one-way ANOVA (analysis of variance) test is run using the f value discovered after running the f test. More information on a f test, the f statistic, its critical value, formula, and how to perform a f test for hypothesis testing will be provided in this article.

The f test statistic is used in a test called the f test to determine if the variances of two samples (or populations) are equal. An f test needs a f distribution in the population and independent events for the samples in order to be valid. The null hypothesis can be rejected after conducting the hypothesis test if the f test results are statistically significant; otherwise, it cannot be rejected.

Null hypothesis:

The idea that there is no influence on the population is known as the null hypothesis.

We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect in the population (p). If not, we are unable to rule out the null hypothesis.

Although it may sound odd, statisticians only accept the phrase "fail to reject." Avoid using words like "prove" or "accept" when referring to the null hypothesis.

Alternative hypothesis:

The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected.

Your research hypothesis and your alternate hypothesis are frequently identical. It is, in other words, the assertion that you anticipate, or hope will be accurate.

The complement of the null hypothesis is the alternative hypothesis. The exhaustive nature of null and alternative hypotheses ensures that they account for all potential outcomes. Additionally, they are mutually exclusive, so only one of them can be true at once.

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Using the trigonometry ratio, the value of angle x is 66.42°.

In the given question,

One of the support wires for a radio tower is 100 feet long.

One end of the wire is 40 feet from the base of the tower.

We have to find the angle (x), in degrees, that the support wire make with the ground.

To find the angle of x we use trigonometry ratio.

According to the ratio cosine is the ratio between base and hypotenuse.

So the formula is Cos x= B/H

where H = Hypotenuse

B = Base

From the given figure we know that, H=100 feet, B=40 feet

Now putting the value

Cos x= 40/100

Simplifying

Cos x = 2/5

Cos x = 0.4

So x = arccos(0.4)

x = 66.42

Hence, the value of angle x is 66.42°.

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Answer:

1,198 cm

Step-by-step explanation:

To find the diameter, use the formula d = 2r.

d = 2(599)

d = 1,198

Answer:

y = -2x + 1

Step-by-step explanation:

y = mx + b  you must find the m (slope) and the b (y intercept) to write the equation for the graph.

The slope is negative.  If you start on the very left side of the graph and follow it, you will see that it goes in a down hill direction.  That means that the slope is negative.  If I start on the very left and the line goes up from there, the slope is positive.  If the line is a straight horizontal line, then the slope is zero, it does not go up or down.

The slope is -2.  Select one of the dots and travel to the next dot, but you can only move horizonaly and vertically.  You cannot move diagonally.  You will notice that the two closes dots are two units up (or down) and only 1 unit left (or right) depending on which dot you start at.  Since you move 2 units up and 1 unit left that is a slope of 2.  2/1 = 2.

The b (y-intercept) is just where you see the line cross the y axis.  It crosses it at 1.

Answer:

  y = -2x + 1

Step-by-step explanation:

Here m is the slope and b is y-intercept.

Pick any two points on the line.

(-1,3) & (2,-3).

Find the Slope.

     [tex]\sf \boxed{Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                 [tex]\sf = \dfrac{-3-3}{2-[-1]}\\\\=\dfrac{-6}{2+1}\\\\=\dfrac{-6}{3}\\\\=-2[/tex]

m = -2.

Equation of the line:

     y = -2x + b

Substitute any one point in the above equation and find the y-intercept. (-1,3)

     3 = -2*(-1) + b

     3 = 2 + b

3 - 2  = b

      b = 1

Equation of the line:

        y = -2x + 1

Answer:

42 workers

Step-by-step explanation:

27 divided by 9 = 3 (how much we need to multiply workers by)

14x3=42

Answer:

True

Step-by-step explanation:

f'(3) = 0 says the tangent line at x = 3 is horizontal.

f"(3) = 0 means the graph of  f  is concave up at x = 3.

Together, these tell you the graph has a local minimum at x = 3.  The graph is  U-shaped at the point where x = 3.

The solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].

According to the question,

We have the following expression:

[tex]x^{2} -10x+25 = 0[/tex]

Now, we will use completing the square method to solve this expression.

We will first try to convert the first and last term into perfect squares and rewrite the expression by splitting the middle term in multiplication of 2 and the squares .

[tex]x^{2}[/tex]-2*x*5+[tex]5^{2}[/tex] = 0

Now, we know that this expression fits in the identity:

[tex](a-b)^{2} = a^{2} +b^{2} -2ab[/tex]

In this case, we have a = x and b = 5

[tex](x-5)^{2}[/tex]

Hence, the solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].

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There are 96 basketball conference games are scheduled.

For the given question;

There are N games on the schedule because there are two teams in each game.

N = 12×16/2

N = 96

Thus, there are 96  basketball conference games are scheduled.

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The distance that Evan has left to hike is 13/30 mile.

From the information, Eva is hiking a real that has a length of 5/6 miles.

He has also hiked 2/5 miles. Therefore, in this situation, the distance that he has left will gotten by subtracting the fractions.

This will be:.

Distance left = Total distance - Distance hiked

Distance left = 5/6 - 2/5

= 25/30 - 12/30

= 13/30

The distance is 13/30 miles.

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A rhombus is a parallelogram because the opposite sides are parallel but every parallelogram is not a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

We need to identify the properties of the given figure in order to answer why one figure can not be the other one:

A rhombus has all sides equal as well as parallel but all angles might not be right angles.

A square has all four sides equal and has 4 right angles.

A rectangle has equal opposite sides and 4 right angles.

A parallelogram has opposite parallel sides.

Hence, a rhombus can be a parallelogram because the opposite sides are parallel but every parallelogram can not be a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

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