FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.

Answer:

Step-by-step explanation:

Find the area of EACH square? each? If that's so the answer is already in the question. 1 square unit.

But if you want to find the area of the ENTIRE square (which is made of many squares) then you count them. That's 256 squares my guy. So 256 square units.

If my counting is adequate that answer should be correct.

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

x > 3

Step-by-step explanation:

3x-9-5x > -3x - 6

3x-5x+3x > -6+9

x > 3

Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself

Step-by-step explanation:

Lolol

The proportional relationship for the table has a constant of 2.

A proportional relationship simply means a relationship that exist between the variables that have equivalent ratios.

In this case, the relationship in the ratio can be expressed as:

y = kx

where k = constant of proportionality

4 = 2k

Divide

k = 4/2 = 2

Thw relationship will be y = 2k. The constant here is 2.

Note that the equation wasn't given but the table has been duly explained.

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Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

Answer:

The total amount of water Andre brought for the hike was, 3.0 liters.

Step-by-step explanation:

Let the total amount of water Andre brought for the hike be denoted by, x.

It is provided that he drank 1.5 liters of the water during the first part of the hike.

Also, this 1.5 liters of the water is 50% of the water he brought, i.e.

\(1.5\ \text{lt}=50\%\ \text{of}\ x\)

Compute the value of x as follows:

\(1.5\ \text{lt}=50\%\ \text{of}\ x\)

     \(x=\frac{1.5}{50\%}\)

        \(=\frac{1.5}{50}\times 100\\\\=1.5\times 2\\\\=3.0\)

The total amount of water Andre brought for the hike was, 3.0 liters.

Answer:

I didn't find any results but if I find one I let you know

Step-by-step explanation:

I hope that help's??

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer: -3+4 so he made a mistake so it would be -7



Step-by-step explanation:

Pattern A is the x axis. The rule Adds 2 .

0 , 2, 4, 6, 8

Part B is the y axis. The rule Adds 3.

0, 3, 6, 9, 12

The top angle is shown as a right angle which is 90 degrees.

The sum of the 3 inside angles must equal 180 degrees.

b = 180 -90-76 = 14 degrees

Angle b = 14 degrees.

Angle a is an exterior angle which equals the sum of the two opposite inside angles.

Angle a = 90 + 76 = 166 degrees

Answer:

\((2 \times {10}^{4} )(1 \times 10 ^{6} ) \\ = 2 \times {10}^{10} \)

I hope I helped you^_^

Answer:

2×10^10

Step-by-step explanation:

Answer:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. ... If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.

Answer:

0 is the whole number

Step-by-step explanation:

negative numbers are negative so they can't be counted as whole numbers which means -5 isn't an option.

Whole numbers can't be stated in fraction form so 2/3 is not applicable here.

32.8 is also not the answer as decimals are part of a whole number, not actual whole numbers.

so, 0, is the only right answer here

Answer: x = -2

\(\frac{n^{10} }{n^{12} } =(n^{x})^{1} \\\\<=>\frac{1}{n^{2} }=n^{x}\\\\<=>n^{-2}=n^{x}\)

to make the equation true => x = - 2

Step-by-step explanation:

Answer:

[9.99744 (10m)] for q#1 and [18688.006kg (18,688kg] for q#2

Step-by-step explanation:

Answer:

First blank is 10m

Second blank is 18688kg

Step-by-step explanation:

Use the conversion calculator

Answer:

it would be 457.2 cm or if you want it simplified then it would be 457 cm

hope this helped :)

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

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An equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

Given that;

The cost of tickets for a specific series of concerts is set by a concert venue. The sales team discovers that 1,000 people on average attend concerts with tickets costing $38. The average attendance increases by 50 persons for every $5 decrease in price. Then,

Let 'T' be the number of times the price is decreased.

So, price;

     p = 38 – 5x

     x = (38 - p) / 5

And as per the given condition attendance;

a = 1000 + 50x

So, the Revenue is;

To develop an equation for revenue (r) as a function of p, the price of tickets;

R = p * a

R= p * (1000 + 50x)

But,  x = (38 - p) / 5

Then,

R = P * (1000 + 50(38 - p)/5)

  = p * (1000 + 380 - 10p)

  = p * (1380 – 10p)

  = 1380p - 10p²  → (I)

To get R(25) from (I);

R(25) = 1380(25) - 10(25)²

         = 34500 - 6250

         = 28250

Hence, an equation for revenue (r) as a function of (p) is R = 1380p - 10p²,

and R(25) = 28250.

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Answer:

13 lawns

Step-by-step explanation:

Find out how much money Melinda earns for 1 lawn mowed (variable x represents money earned):

3x = 48

Isolate the variable by dividing both sides by 3

3x ÷ 3 = 48 ÷ 3

1x = 16

x = 16

She earns $16 per mowed lawn

Set up equation to find out how many lawns she needs to mow to earn $208 (variable y represents lawns mowed):

16y = 208

Isolate the variable by dividing both sides by 16

16y ÷ 16 = 208 ÷ 16

1y = 13

y = 13

She needs to mow 13 lawns to earn $208

Answer: The answer is 13 lawns... Have a great day!

Let x be an even integer then x+2 is the next consecutive even integer.

We need to look at \((x+2)^2 - x^2\), since that's the difference between the squares of any two consecutive even integers.

\((x+2)^2 - x^2 = x^2 + 4x + 4 - x^2\)

                     \(=4x+4\)

                     \(=4(x+1)\)

Since that difference is 4 times something, it is a multiple of 4.

The value of the interquartile range (IQR) of their scores is,

Interquartile range = 25

Since, WE know that;

A box plot is the 5 -number summary of the set of data.

And, 5 -number summary is name as, the first quartile, median, third quartile, minimum, and maximum.

We have to given that;

The box pot shows the points for the Houston Rockets scored last season.

Now, From given box plot,

First Interquartile = 65

Third Interquartile = 90

Hence, The interquartile range (IQR) of their scores is, difference between Third Interquartile and first Interquartile.

So, We can formulate;

Interquartile range = Third Interquartile - First Interquartile

Substitute the given values, we get;

Interquartile range = 90 - 65

Interquartile range= 25

Therefore, We get;

The interquartile range (IQR) of their scores is,

Interquartile range= 25

Which is difference between Third Interquartile and first Interquartile.

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5)

we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:

then the circumference equation is:

To determine the topological sorts for the dependency graph of Fig. 5.7, I would need more information or a description of the specific dependencies in that graph. Without any knowledge of the graph's structure or dependencies, it is not possible to provide a specific answer.

However, in general, the correct answer to the question is:

a. The topological sorts depend on the specific dependencies in Fig. 5.7.

The topological sort of a directed acyclic graph (DAG) is not unique and can vary depending on the specific ordering of the vertices and their dependencies. Therefore, there can be multiple valid topological sorts for a given dependency graph.

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Answer:

ok so first we know that 1/3 of a hour is 20 minutes since

60*1/3=20

so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15

20*15=300

300 minutes or 5 hours

Hope This Helps!!!

Answer:

5 Hour

Step-by-step explanation:

For 1/15 of lawn it takes = 1/3

So, for entire lawn it will take = 1/3 * 15 = 5

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[RevyBreeze]

The equation of the line that passes through the point (2, 1) and has a slope of -5/2 is y=(-5/2)*x+6.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=3x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=3 and b=4.

The question gives:

Point : (2,1) , where x=2 and y=1

Slope= -5/2

From the  standard form of the linear equation ( y= mx+b) and the given point and the slope, you can write:

y=mx+b

1=-5/2*(2)+b , thus you can find b.

1=-5+b

-b=-5-1

-b=-6

b=6

If b=6 and m=-5/2, you can write the linear equation:

y=mx+b

y=(-5/2)*x+6

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The equation of line that models this is y = -5/2x + 6

The equation of a line is typically written in slope-intercept form, which is y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope (m) is a measure of how steep the line is, and it can be calculated using the formula:

y = mx + c

In the given question, the slope is -5/2 and the points are (2, 1)

Substituting the values into the formula of equation of line;

y = mx + c

1 = -5/2(2) + c

1 = -5 + c

c = 1 + 5

c = 6

The equation is y = -5/2 + 6

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To calculate how much Alice will pay for the carpet, we need to know the area of the carpet in square feet. Without that information, it is not possible to provide the exact amount Alice will pay.

The cost of the carpet is given as $3.00 per square foot. To determine the total amount Alice will pay, we need to know the area of the carpet. The formula to calculate the total cost is given by multiplying the cost per square foot by the area of the carpet:

Total cost = Cost per square foot × Area of the carpet

Without the area of the carpet being provided, we cannot calculate the exact amount Alice will pay. The cost per square foot only gives us the rate at which the carpet is priced, but it does not provide information about the size of the carpet. Once we have the area in square feet, we can multiply it by the cost per square foot to determine the total cost that Alice will pay for the carpet.

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To compute sin 2A, we need to find the value of angle A in the right triangle ABC. We can use the given information to solve for angle A and then calculate sin 2A. sin 2A = 2 * sin A * cos A

Given that the area of the right triangle ABC is 4, we can use the formula for the area of a triangle: Area = 0.5 * base * height. Since this is a right triangle, one of the legs can be considered the base and the other leg can be considered the height. Let's call the base leg b and the height leg h.We are also given that the hypotenuse of the triangle is 12. Using the Pythagorean theorem, we can express the relationship between the legs and the hypotenuse:

b^2 + h^2 = 12^2

From the area formula, we have:

0.5 * b * h = 4

Solving these two equations simultaneously will give us the values of b and h, which will allow us to find angle A.

Once we know angle A, we can calculate sin 2A using the formula:

sin 2A = 2 * sin A * cos A

In this case, we will have the value of sin A, and using the identity sin^2 A + cos^2 A = 1, we can find cos A. With both sin A and cos A known, we can calculate sin 2A.

However, you can follow the steps outlined above to compute sin 2A by solving the equations and using trigonometric identities.

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