Drag graphs to show a graph of each equation in the table. ​

The largest possible total area of the four pens is 14,062.5 ft.²

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Diagrams illustrating the situation can be formed adjusting the width of the included diagram illustrating the general situation.

The expression for the total area is  A=( 150- (2Y)/5 ) Y

Reasons:

The given parameter are;

Length of fencing available = 750 ft.

Area to be enclosed = Rectangular

Number of included pens with parallel fencing = Four

Let Y represent the width of the area and let X represent the breadth

Therefore, we have;

2·Y + 5·X = 750

Which gives;

X=(750/5)-(2Y/5)=150-(2Y/5)

The area is therefore;

A=Y [150-(2Y/5)] = 150Y-(2Y²/5)

Differentiate with respect to Y and equate to zero

dA/dY = 150- (4Y/5)=0

Y=(150*5)/4 = 187.5

The width of the maximum area, Y = 187.5 ft.

Which gives;

X=150- (2*187.5)/5 = 75

The breadth of the area, X = 75 ft.

The maximum area,  = Y × X, which gives;

= 187.5 ft. × 75 ft. = 14,062.5 ft.²

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Answer:

Step-by-step explanation:

..................

The value of x in the given triangle is x = 2 .

In the question ,

it is given that ,

a triangle is given ,

let us name the triangle as triangle ABC ,

So , By Basic Proportionality Theorem , which states that ,

The line drawn parallel to one side of triangle and cuts the other two sides divides the other two sides in equal proportion.

So , By Basic Proportionality Theorem

AD/AB = AE/AC

substituting the value from the triangles , we get

4/12 = 6/(6+6x)

1/3 = 1/(1+x)

1 + x = 3

x = 3 - 1

x = 2

Therefore , The value of x in the given triangle is x = 2 .

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The probability that she will get the station between 9:25 and 9:30 is 1/2.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given: The time it takes a woman to travel from her apartment to the bus station follows a uniform distribution over the interval from 20 to 30 minutes.

She leaves home at 9:05 a.m.

Let x be the random variable denoting that travel time of a women from apartment to bus stop.

Here x ≈ U (20, 30)

⇒  F(x) = (x - 20) / (30 - 20)

To find, she leaves home at 9:25 at reach bus stop at 9:25 to 9:30

⇔ P(20 < x < 25)

= (25 - 20) / (30 - 20)

= 5 / 20

= 1/2

Hence, the probability is 1/2.

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Assuming that other factors are held constant, the sample means difference Increases. (option C)

The null hypothesis and the alternative hypothesis are the two types of hypotheses for a test.

Step 1: The null hypothesis is based on the assumption that there is no difference between the true mean (µ) and the compare value ([tex]m_{o}[/tex]). The alternative hypothesis is based on this assumption.

Step 2: Increasing the sample mean difference would probably make it more likely that the null hypothesis will be rejected, as long as other factors stay the same.

As a result, option C is the right one.

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(Complete question)

Assuming that other factors are held constant, which approach would tend to increase the likelihood of rejecting the null hypothesis?​

a. ​Decrease the sample mean difference.

b. ​Increase the sample variance.

c. ​Increase the sample mean difference.

d. ​Decrease the sample size.

Answer: Alright, lets get started.

Roberto has already run miles = 16

Total miles for marathon = 26.2

As per percentage formula :

So, percentage completed =

Rounding the answer to whole number 62 %

62 percent of the marathon  he has completed.   :  Answer

Hope it will help :)

Step-by-step explanation:

By using factor theorem it is obtained that,

x - 1 is not a factor f(x) =[tex]2x^5-9x-6[/tex]

What is factor theorem?

At first, it is important to know about remainder theorem

Remainder theorem states that if f(x) is divided by (x - a), then the remainder is f(a)

If the remainder is zero, then f(a) is a factor of f(x)

Factor theorem states that if f(a)  = 0, then (x - a) is a factor of f(x).

Here,

[tex]f(x)=2x^5-9x-6[/tex]

Divisor = x - 1

x - 1 = 0

x = 1

By remainder theorem,

Remainder = f(1)

f(1) =

      [tex]2(1)^5 - 9(1) - 6\\2 - 9 -6\\-13[/tex]

Which is not equal to zero

x - 1 is not a factor f(x) [By factor theorem]

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Answer:

Step-by-step explanation:

1. The measured height is the exact value therefore it is to be considered as actual height.

2. The error is the difference between actual and estimated values:

3. Percent error is:

or

The given descriptions "The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function." is stated about the logarithmic function.

First, let us understand the logarithmic function:

The inverses of exponential functions are logarithmic functions, and any exponential function could be represented in logarithmic form.

The given description fully stated about the logarithmic function.

Thus, the given description "The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function." is stated about the logarithmic function.

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52 increased by 18 is basically 52 + 18 = 70

I hope this helps!

From the given mean and standard deviation the closest minimum annual profit, for a store that had a reward party is equal to $102,300.

As given in the question,

Given distribution of annual profit :

Approximately normal with mean μ = $66,000

Standard deviation σ = $22,000

Profits in the top 5 percent

Apply z-score formula :

z = ( x - μ) / σ

Top 5% mean 95% and more.

Using normal distribution table,

z -score corresponding to 95% or 0.95 is equal to 1.65.

Substitute all value in the formula we get,

1.65 = ( x - 66,000 ) / 22,000

⇒ x - 66,000 = 1.65 × 22,000

⇒ x = 36,300 + 66,000

⇒ x = 102,300

Therefore, from the given mean and standard deviation the closest minimum annual profit, for a store that had a reward party is equal to $102,300.

The complete question is :

The distribution of annual profit at a chain of stores was approximately normal with mean μ = $66,000, standard deviation σ = $22,000. The stores with profits in the top 5 percent each had a reward party for the employees to celebrate.

What is closest to the minimum annual profit for a store that had a reward party?

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Answer:

D: (0,-6)

Step-by-step explanation:

the y intercept in an equation is the "b" value in y=mx+b

Answer:

(0,-6)

Step-by-step explanation:

you can look at the last term in the equation which is -6

Or you can set x to 0

y=4(0)-6

y=-6

Hopes this helps please mark brainliest

Rochelle can make 2 party favors with 3/4 yards of wine.

According to the question,

We have the following information:

Rochelle had 3/4 yard of wine. Each party favor requires 3/8 yard.

Now, we will find how many parts of a party can 1 yard of wine favor using division.

So, we have the following expression:

1 party = 3/8 yards

1 yard = 8/3 party

Now, Rochelle has 3/4 yards of wine in total. So, we can find the number of party favors using multiplication.

3/4 yards = (3/4)*8/3

3/4 yards = 2 parties

Hence, Rochelle can make 2 party favors with 3/4 yards of wine.

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Answer: 6 hours

to be honest i got 7 hours but i typed in 6 and it was correct so i cant really tell you how i got it right :/

Answer:

1) Slope: 2 ; y-intercept: (0, -6)

2) Slope: -5; y-intercept: (0, 16)

Step-by-step explanation:

8x-4y=24 is also y=2x-6

Slope: 2

y-intercept: -6

y= -5x+16

Slope: -5

y-intercept: 16

Answer:

a = -b - c + 8

Step-by-step explanation:

8 = a + b + c.  Solve for a.

Subtract b from both sides

8 - b = a + c

Subtract c from both sides

8 - b - c = a

It is customary to rearrange so that the variable we solved for is on the left side

a = -b - c + 8

The statement if A ⊂ B, then A ∩ B = ∅ is false.

First, let us understand the set:

A set is a mathematical model for a collection of different things; a set contains elements or members that can be any mathematical object: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

We are given;

A ⊂ B

We need to find A ∩ B.

Let us understand the given set;

A ⊂ B means A is a proper subset of B.

All the elements of set A are in set B.

So, A ∩ B = A

But, A ∩ B = ∅ is given.

So, the statement is false.

Thus, the statement if A ⊂ B, then A ∩ B = ∅ is false.

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Answer:

Step-by-step explanation:

You want the steps to writing the equation of a line parallel or perpendicular to a given line through a given point.

Given line ax+by=c and point (h, k), you can write equations for the desired lines using the forms:

  a(x -h) +b(y -k) = 0 . . . . . . parallel line

  b(x -h) -a(y -k) = 0 . . . . . . . perpendicular line

If you eliminate parentheses and collect terms, you will have the general form equation of the desired line(s). If you solve for y, you will have the slope-intercept form of the equation.

To use these forms, it is helpful to start with the equation of the given line in standard form, as shown. (It could also be in general form ax+by-c=0.)

Using the above solution, the steps are ...

You will note that the same coefficients are used on the same variables for a parallel line. This is because parallel lines have the same slope.

The coefficient of the variables are swapped, and one of them is negated in the equation for the perpendicular line. This is because perpendicular lines have opposite reciprocal slope.

When the given line is in slope-intercept form, y = mx +b, the slope is readily identified as m, the coefficient of x. For the parallel line, this slope can be used directly in the point-slope equation for a line through a given point:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

This can be rearranged to the slope-intercept form:

  y = mx +(k -mh)

The perpendicular line has opposite reciprocal slope. The line perpendicular to the given line with slope m will have slope -1/m. Then the two forms of equation are ...

  y -k = -1/m(x -h) . . . . . . . . . point-slope form

  y = (-1/m)x +(k +h/m) . . . . . slope-intercept form

__

Additional comment

A standard form equation (ax +by = x) has mutually prime integer coefficients, with a positive leading coefficient. When you have written your equation, you may find it necessary to multiply the equation by some value to put it in this form. For example, -2x +4y = -8 must be multiplied by -1/2 to get the standard form equation x -2y = 4.

You need to be aware of the form required by your grader. The wording "the equation" often means slope-intercept form, or the form matching the given equation or the answer box format.

Answer:

its B!!

Step-by-step explanation:

I took the test and got it wrong but the review said it was B

In the making of 22 oz of bread rye flour and whole wheat requirements are 4.4 0z and 17.6 oz.

A ratio is a comparison between two quantities in simplest form.

A ratio of the from a : b can be written as a/(a + b) and b/(a + b).

Given, A recipe for whole grain bread calls for 1 oz of rye flour for every 4 oz of whole wheat flour.

∴ In the making of 22 oz of bread rye flour needed is 1/(1 + 4)×22

= (1/5)×22.

= 4.4 oz.

In the making of 22 oz of bread whole wheat needed is 4/(1 + 4)×22.

= (4/5)×22.

= 17.6 oz.

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Answer:

See below

Step-by-step explanation:

First, graph the function to see that the domain ( the values of x the function can have in this context goes from 0 to 4  hours   ( after four hours the concentration goes negative.....can't happen in the real world)

  and the range is 0 to max of  8 mg/L

Here is the graph :

Answer:

30

Step-by-step explanation:

Well I hope this helps Have a good day! :)

Answer: $49

Step-by-step explanation: 5% of 980 = 0.05 × 980 = 49

Answer:

$931

Step-by-step explanation:

Discount = less money paid

100% - 5% = 95%

95% = 0.95

980 * 0.95 = 931

Answer:

-27

Step-by-step explanation:

6 * (-4) -3 =

= -24 - 3 =

= -27

Answer:

18243.906

Step-by-step explanation:

Find how much water is used in 1 hour and then multiply that by 3

24325.208/4

6081.302

6081.302x3

18243.906

At this rate 15 more minutes the girls can exchange texts before they are charged extra.

Given that,
Katrina and Becca exchanged 270 text messages in 45 minutes. An equal number of texts was sent each minute. The girls can send 90 more text messages before they are charged additional fees.

Here,
Total message sent = 270
in time = 45 minutes
Rate = 270 / 45 = 6 messages per minute
Time for the exchange of 90 messages = 90 / 6 = 15 minutes

Thus, At this rate 15 more minutes the girls can exchange texts before they are charged extra.

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